TSTP Solution File: ALG141+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ALG141+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 : n013.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 16:37:08 EDT 2023
% Result : Unsatisfiable 25.55s 4.20s
% Output : Proof 232.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG141+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.16/0.34 % Computer : n013.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Mon Aug 28 04:16:46 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.20/0.59 ________ _____
% 0.20/0.59 ___ __ \_________(_)________________________________
% 0.20/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.59
% 0.20/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.59 (2023-06-19)
% 0.20/0.59
% 0.20/0.59 (c) Philipp Rümmer, 2009-2023
% 0.20/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.59 Amanda Stjerna.
% 0.20/0.59 Free software under BSD-3-Clause.
% 0.20/0.59
% 0.20/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.59
% 0.20/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.60 Running up to 7 provers in parallel.
% 0.20/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.83/1.33 Prover 1: Preprocessing ...
% 3.83/1.33 Prover 4: Preprocessing ...
% 3.83/1.37 Prover 6: Preprocessing ...
% 3.83/1.37 Prover 5: Preprocessing ...
% 3.83/1.37 Prover 3: Preprocessing ...
% 3.83/1.37 Prover 2: Preprocessing ...
% 3.83/1.37 Prover 0: Preprocessing ...
% 7.38/1.76 Prover 2: Constructing countermodel ...
% 7.38/1.76 Prover 3: Constructing countermodel ...
% 7.79/1.80 Prover 4: Constructing countermodel ...
% 7.79/1.81 Prover 6: Constructing countermodel ...
% 7.79/1.81 Prover 0: Constructing countermodel ...
% 7.79/1.81 Prover 1: Constructing countermodel ...
% 8.63/2.07 Prover 5: Constructing countermodel ...
% 25.55/4.19 Prover 3: proved (3574ms)
% 25.55/4.19
% 25.55/4.20 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.55/4.20
% 25.55/4.20 Prover 6: stopped
% 25.55/4.20 Prover 0: stopped
% 25.55/4.20 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 25.55/4.20 Prover 2: stopped
% 25.55/4.20 Prover 5: stopped
% 25.55/4.21 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 25.55/4.21 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 25.55/4.21 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 25.55/4.21 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 26.84/4.43 Prover 7: Preprocessing ...
% 27.13/4.44 Prover 8: Preprocessing ...
% 27.13/4.44 Prover 11: Preprocessing ...
% 27.13/4.45 Prover 10: Preprocessing ...
% 27.22/4.47 Prover 13: Preprocessing ...
% 28.71/4.66 Prover 8: Constructing countermodel ...
% 28.97/4.73 Prover 10: Constructing countermodel ...
% 29.37/4.74 Prover 11: Constructing countermodel ...
% 29.37/4.74 Prover 7: Constructing countermodel ...
% 29.37/4.75 Prover 13: Constructing countermodel ...
% 65.70/9.56 Prover 13: stopped
% 66.31/9.58 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 66.74/9.67 Prover 16: Preprocessing ...
% 68.64/9.89 Prover 16: Constructing countermodel ...
% 110.43/15.39 Prover 16: stopped
% 110.70/15.41 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 110.94/15.47 Prover 19: Preprocessing ...
% 111.70/15.54 Prover 19: Constructing countermodel ...
% 114.75/15.95 Prover 1: stopped
% 138.31/19.16 Prover 19: stopped
% 186.16/26.86 Prover 7: stopped
% 190.58/27.94 Prover 4: stopped
% 212.60/34.70 Prover 10: Found proof (size 18581326)
% 212.60/34.70 Prover 10: proved (30496ms)
% 212.60/34.70 Prover 11: stopped
% 212.60/34.71 Prover 8: stopped
% 212.60/34.71
% 212.60/34.71 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 212.60/34.71
% 215.75/36.07 % SZS output start Proof for theBenchmark
% 216.00/36.25 Assumptions after simplification:
% 216.00/36.25 ---------------------------------
% 216.00/36.25
% 216.00/36.25 (ax1)
% 216.29/36.31 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 216.29/36.31 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 216.29/36.31 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 216.29/36.31 $i] : ? [v14: $i] : ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 &
% 216.29/36.31 op(e3, e1) = v13 & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 &
% 216.29/36.31 op(e2, e1) = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 &
% 216.29/36.31 op(e1, e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 216.29/36.31 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 216.29/36.31 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 216.29/36.31 $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v15 = e2 | v15 = e1 | v15 =
% 216.29/36.31 e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v13 = e3 | v13 = e2 |
% 216.29/36.31 v13 = e1 | v13 = e0) & (v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11
% 216.29/36.31 = e3 | v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 |
% 216.29/36.31 v10 = e0) & (v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 |
% 216.29/36.31 v8 = e1 | v8 = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 |
% 216.29/36.31 v6 = e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) &
% 216.29/36.31 (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 = e1 | v3
% 216.29/36.31 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3 | v1 = e2 | v1
% 216.29/36.31 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0))
% 216.29/36.31
% 216.29/36.31 (ax10)
% 216.29/36.31 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 216.29/36.31 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(v1, e2) = v2 &
% 216.29/36.31 op(e2, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e2, e3) = v1 &
% 216.29/36.31 $i(v1))))
% 216.29/36.31
% 216.29/36.31 (ax11)
% 216.29/36.31 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 216.29/36.31 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(v1, e1) = v2 &
% 216.29/36.31 op(e1, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e1, e3) = v1 &
% 216.29/36.31 $i(v1))))
% 216.29/36.31
% 216.29/36.31 (ax12)
% 216.29/36.31 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 216.29/36.31 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(v1, e3) = v2 &
% 216.29/36.31 op(e3, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e3, e0) = v1 &
% 216.29/36.31 $i(v1))))
% 216.29/36.31
% 216.29/36.31 (ax13)
% 216.29/36.32 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 216.29/36.32 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(v1, e2) = v2 &
% 216.29/36.32 op(e2, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e2, e0) = v1 &
% 216.29/36.32 $i(v1))))
% 216.29/36.32
% 216.29/36.32 (ax14)
% 216.29/36.32 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 216.29/36.32 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(v1, e3) = v2 &
% 216.29/36.32 op(e3, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e3, e2) = v1 &
% 216.29/36.32 $i(v1))))
% 216.29/36.32
% 216.29/36.32 (ax15)
% 216.29/36.32 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 216.29/36.32 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(v1, e0) = v2 &
% 216.29/36.32 op(e0, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e0, e2) = v1 &
% 216.29/36.32 $i(v1))))
% 216.29/36.32
% 216.29/36.32 (ax16)
% 216.29/36.32 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 216.29/36.32 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(v1, e2) = v2 &
% 216.29/36.32 op(e2, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e2, e3) = v1 &
% 216.29/36.32 $i(v1))))
% 216.29/36.32
% 216.29/36.32 (ax17)
% 216.29/36.32 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 216.29/36.32 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(v1, e0) = v2 &
% 216.29/36.32 op(e0, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e0, e3) = v1 &
% 216.29/36.32 $i(v1))))
% 216.29/36.32
% 216.29/36.32 (ax18)
% 216.29/36.33 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 216.29/36.33 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(v1, e3) = v2 &
% 216.29/36.33 op(e3, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e3, e0) = v1 &
% 216.29/36.33 $i(v1))))
% 216.29/36.33
% 216.29/36.33 (ax19)
% 216.29/36.33 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 216.29/36.33 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(v1, e1) = v2 &
% 216.29/36.33 op(e1, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e1, e0) = v1 &
% 216.29/36.33 $i(v1))))
% 216.29/36.33
% 216.29/36.33 (ax2)
% 216.29/36.35 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 216.29/36.35 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 216.29/36.35 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 216.29/36.35 $i] : ? [v14: $i] : ? [v15: $i] : (((v15 = e3 & op(e3, e3) = e3) | (v14 =
% 216.29/36.35 e3 & op(e3, e2) = e3) | (v11 = e3 & op(e3, e1) = e3) | (v6 = e3 & op(e3,
% 216.29/36.35 e0) = e3)) & ((v15 = e3 & op(e3, e3) = e3) | (v13 = e3 & op(e2, e3) =
% 216.29/36.35 e3) | (v9 = e3 & op(e1, e3) = e3) | (v3 = e3 & op(e0, e3) = e3)) & ((v15
% 216.29/36.35 = e2 & op(e3, e3) = e2) | (v14 = e2 & op(e3, e2) = e2) | (v11 = e2 &
% 216.29/36.35 op(e3, e1) = e2) | (v6 = e2 & op(e3, e0) = e2)) & ((v15 = e2 & op(e3,
% 216.29/36.35 e3) = e2) | (v13 = e2 & op(e2, e3) = e2) | (v9 = e2 & op(e1, e3) = e2)
% 216.29/36.35 | (v3 = e2 & op(e0, e3) = e2)) & ((v15 = e1 & op(e3, e3) = e1) | (v14 = e1
% 216.29/36.35 & op(e3, e2) = e1) | (v11 = e1 & op(e3, e1) = e1) | (v6 = e1 & op(e3,
% 216.29/36.35 e0) = e1)) & ((v15 = e1 & op(e3, e3) = e1) | (v13 = e1 & op(e2, e3) =
% 216.29/36.35 e1) | (v9 = e1 & op(e1, e3) = e1) | (v3 = e1 & op(e0, e3) = e1)) & ((v15
% 216.29/36.35 = e0 & op(e3, e3) = e0) | (v14 = e0 & op(e3, e2) = e0) | (v11 = e0 &
% 216.29/36.35 op(e3, e1) = e0) | (v6 = e0 & op(e3, e0) = e0)) & ((v15 = e0 & op(e3,
% 216.29/36.35 e3) = e0) | (v13 = e0 & op(e2, e3) = e0) | (v9 = e0 & op(e1, e3) = e0)
% 216.29/36.35 | (v3 = e0 & op(e0, e3) = e0)) & ((v14 = e3 & op(e3, e2) = e3) | (v12 = e3
% 216.29/36.35 & op(e2, e2) = e3) | (v8 = e3 & op(e1, e2) = e3) | (v2 = e3 & op(e0, e2)
% 216.29/36.35 = e3)) & ((v14 = e2 & op(e3, e2) = e2) | (v12 = e2 & op(e2, e2) = e2) |
% 216.29/36.35 (v8 = e2 & op(e1, e2) = e2) | (v2 = e2 & op(e0, e2) = e2)) & ((v14 = e1 &
% 216.29/36.35 op(e3, e2) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v8 = e1 & op(e1, e2)
% 216.29/36.35 = e1) | (v2 = e1 & op(e0, e2) = e1)) & ((v14 = e0 & op(e3, e2) = e0) |
% 216.29/36.35 (v12 = e0 & op(e2, e2) = e0) | (v8 = e0 & op(e1, e2) = e0) | (v2 = e0 &
% 216.29/36.35 op(e0, e2) = e0)) & ((v13 = e3 & op(e2, e3) = e3) | (v12 = e3 & op(e2,
% 216.29/36.35 e2) = e3) | (v10 = e3 & op(e2, e1) = e3) | (v5 = e3 & op(e2, e0) =
% 216.29/36.35 e3)) & ((v13 = e2 & op(e2, e3) = e2) | (v12 = e2 & op(e2, e2) = e2) |
% 216.29/36.35 (v10 = e2 & op(e2, e1) = e2) | (v5 = e2 & op(e2, e0) = e2)) & ((v13 = e1 &
% 216.29/36.35 op(e2, e3) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v10 = e1 & op(e2, e1)
% 216.29/36.35 = e1) | (v5 = e1 & op(e2, e0) = e1)) & ((v13 = e0 & op(e2, e3) = e0) |
% 216.29/36.35 (v12 = e0 & op(e2, e2) = e0) | (v10 = e0 & op(e2, e1) = e0) | (v5 = e0 &
% 216.29/36.35 op(e2, e0) = e0)) & ((v11 = e3 & op(e3, e1) = e3) | (v10 = e3 & op(e2,
% 216.29/36.35 e1) = e3) | (v7 = e3 & op(e1, e1) = e3) | (v1 = e3 & op(e0, e1) = e3))
% 216.29/36.35 & ((v11 = e2 & op(e3, e1) = e2) | (v10 = e2 & op(e2, e1) = e2) | (v7 = e2 &
% 216.29/36.35 op(e1, e1) = e2) | (v1 = e2 & op(e0, e1) = e2)) & ((v11 = e1 & op(e3,
% 216.29/36.35 e1) = e1) | (v10 = e1 & op(e2, e1) = e1) | (v7 = e1 & op(e1, e1) = e1)
% 216.29/36.35 | (v1 = e1 & op(e0, e1) = e1)) & ((v11 = e0 & op(e3, e1) = e0) | (v10 = e0
% 216.29/36.35 & op(e2, e1) = e0) | (v7 = e0 & op(e1, e1) = e0) | (v1 = e0 & op(e0, e1)
% 216.29/36.35 = e0)) & ((v9 = e3 & op(e1, e3) = e3) | (v8 = e3 & op(e1, e2) = e3) |
% 216.29/36.35 (v7 = e3 & op(e1, e1) = e3) | (v4 = e3 & op(e1, e0) = e3)) & ((v9 = e2 &
% 216.29/36.35 op(e1, e3) = e2) | (v8 = e2 & op(e1, e2) = e2) | (v7 = e2 & op(e1, e1) =
% 216.29/36.35 e2) | (v4 = e2 & op(e1, e0) = e2)) & ((v9 = e1 & op(e1, e3) = e1) | (v8
% 216.29/36.35 = e1 & op(e1, e2) = e1) | (v7 = e1 & op(e1, e1) = e1) | (v4 = e1 &
% 216.29/36.35 op(e1, e0) = e1)) & ((v9 = e0 & op(e1, e3) = e0) | (v8 = e0 & op(e1, e2)
% 216.29/36.35 = e0) | (v7 = e0 & op(e1, e1) = e0) | (v4 = e0 & op(e1, e0) = e0)) &
% 216.29/36.35 ((v6 = e3 & op(e3, e0) = e3) | (v5 = e3 & op(e2, e0) = e3) | (v4 = e3 &
% 216.29/36.35 op(e1, e0) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v6 = e2 & op(e3, e0)
% 216.29/36.35 = e2) | (v5 = e2 & op(e2, e0) = e2) | (v4 = e2 & op(e1, e0) = e2) | (v0
% 216.29/36.35 = e2 & op(e0, e0) = e2)) & ((v6 = e1 & op(e3, e0) = e1) | (v5 = e1 &
% 216.29/36.35 op(e2, e0) = e1) | (v4 = e1 & op(e1, e0) = e1) | (v0 = e1 & op(e0, e0) =
% 216.29/36.35 e1)) & ((v3 = e3 & op(e0, e3) = e3) | (v2 = e3 & op(e0, e2) = e3) | (v1
% 216.29/36.35 = e3 & op(e0, e1) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v3 = e2 &
% 216.29/36.35 op(e0, e3) = e2) | (v2 = e2 & op(e0, e2) = e2) | (v1 = e2 & op(e0, e1) =
% 216.29/36.35 e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v3 = e1 & op(e0, e3) = e1) | (v2
% 216.29/36.35 = e1 & op(e0, e2) = e1) | (v1 = e1 & op(e0, e1) = e1) | (v0 = e1 &
% 216.29/36.35 op(e0, e0) = e1)) & ((v0 = e0 & op(e0, e0) = e0) | (((v6 = e0 & op(e3,
% 216.29/36.35 e0) = e0) | (v5 = e0 & op(e2, e0) = e0) | (v4 = e0 & op(e1, e0) =
% 216.29/36.35 e0)) & ((v3 = e0 & op(e0, e3) = e0) | (v2 = e0 & op(e0, e2) = e0) |
% 216.29/36.35 (v1 = e0 & op(e0, e1) = e0)))))
% 216.29/36.35
% 216.29/36.35 (ax20)
% 216.29/36.36 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 216.29/36.36 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(v1, e3) = v2 &
% 216.29/36.36 op(e3, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e3, e1) = v1 &
% 216.29/36.36 $i(v1))))
% 216.29/36.36
% 216.29/36.36 (ax21)
% 216.29/36.36 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 216.29/36.36 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(v1, e0) = v2 &
% 216.29/36.36 op(e0, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e0, e1) = v1 &
% 216.29/36.36 $i(v1))))
% 216.29/36.36
% 216.29/36.36 (ax22)
% 216.29/36.36 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 216.29/36.36 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(v1, e1) = v2 &
% 216.29/36.36 op(e1, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e1, e3) = v1 &
% 216.29/36.36 $i(v1))))
% 216.29/36.36
% 216.29/36.36 (ax23)
% 216.29/36.36 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 216.29/36.36 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(v1, e0) = v2 &
% 216.29/36.36 op(e0, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e0, e3) = v1 &
% 216.29/36.36 $i(v1))))
% 216.29/36.36
% 216.29/36.36 (ax24)
% 216.29/36.36 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 216.29/36.36 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(v1, e2) = v2 &
% 216.29/36.36 op(e2, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e2, e0) = v1 &
% 216.29/36.36 $i(v1))))
% 216.29/36.36
% 216.29/36.36 (ax25)
% 216.29/36.36 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 216.29/36.36 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(v1, e1) = v2 &
% 216.29/36.36 op(e1, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e1, e0) = v1 &
% 216.29/36.36 $i(v1))))
% 216.29/36.36
% 216.29/36.36 (ax26)
% 216.29/36.36 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 216.29/36.36 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(v1, e2) = v2 &
% 216.29/36.37 op(e2, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e2, e1) = v1 &
% 216.29/36.37 $i(v1))))
% 216.29/36.37
% 216.29/36.37 (ax27)
% 216.29/36.37 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 216.29/36.37 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(v1, e0) = v2 &
% 216.29/36.37 op(e0, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e0, e1) = v1 &
% 216.29/36.37 $i(v1))))
% 216.29/36.37
% 216.29/36.37 (ax28)
% 216.29/36.37 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 216.29/36.37 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(v1, e1) = v2 &
% 216.29/36.37 op(e1, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e1, e2) = v1 &
% 216.29/36.37 $i(v1))))
% 216.29/36.37
% 216.29/36.37 (ax29)
% 216.29/36.37 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 216.29/36.37 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(v1, e0) = v2 &
% 216.29/36.37 op(e0, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e0, e2) = v1 &
% 216.29/36.37 $i(v1))))
% 216.29/36.37
% 216.29/36.37 (ax3)
% 216.29/36.38 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 216.29/36.38 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 216.29/36.38 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 216.29/36.38 $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~
% 216.29/36.38 (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 216.29/36.38 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) &
% 216.29/36.38 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 =
% 216.29/36.38 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~
% 216.29/36.38 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) &
% 216.29/36.38 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) &
% 216.29/36.38 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) &
% 216.29/36.38 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~
% 216.29/36.38 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~
% 216.29/36.38 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op(e3, e3) = v15 & op(e3, e2) =
% 216.29/36.38 v11 & op(e3, e1) = v7 & op(e3, e0) = v3 & op(e2, e3) = v14 & op(e2, e2) =
% 216.29/36.38 v10 & op(e2, e1) = v6 & op(e2, e0) = v2 & op(e1, e3) = v13 & op(e1, e2) = v9
% 216.29/36.38 & op(e1, e1) = v5 & op(e1, e0) = v1 & op(e0, e3) = v12 & op(e0, e2) = v8 &
% 216.29/36.38 op(e0, e1) = v4 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 216.29/36.38 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 216.29/36.38 $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 216.29/36.38
% 216.29/36.38 (ax4)
% 216.29/36.38 ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~
% 216.29/36.38 (e1 = e0) & $i(e3) & $i(e2) & $i(e1) & $i(e0)
% 216.29/36.38
% 216.29/36.38 (ax5)
% 216.29/36.38 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 216.29/36.38 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 216.29/36.38 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 216.29/36.38 $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18:
% 216.29/36.38 $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23:
% 216.29/36.38 $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 216.29/36.38 $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ((v31 = e3 & v29 = e2 &
% 216.29/36.38 v27 = e1 & v25 = e0 & op(v30, v30) = e3 & op(v28, v28) = e2 & op(v26, v26)
% 216.29/36.38 = e1 & op(v24, v24) = e0 & op(e3, e3) = v30 & op(e3, e2) = v28 & op(e3,
% 216.29/36.38 e1) = v26 & op(e3, e0) = v24 & $i(v30) & $i(v28) & $i(v26) & $i(v24)) |
% 216.29/36.38 (v23 = e3 & v21 = e2 & v19 = e1 & v17 = e0 & op(v22, v22) = e3 & op(v20,
% 216.29/36.38 v20) = e2 & op(v18, v18) = e1 & op(v16, v16) = e0 & op(e2, e3) = v22 &
% 216.29/36.38 op(e2, e2) = v20 & op(e2, e1) = v18 & op(e2, e0) = v16 & $i(v22) & $i(v20)
% 216.29/36.38 & $i(v18) & $i(v16)) | (v15 = e3 & v13 = e2 & v11 = e1 & v9 = e0 & op(v14,
% 216.29/36.38 v14) = e3 & op(v12, v12) = e2 & op(v10, v10) = e1 & op(v8, v8) = e0 &
% 216.29/36.38 op(e1, e3) = v14 & op(e1, e2) = v12 & op(e1, e1) = v10 & op(e1, e0) = v8 &
% 216.29/36.38 $i(v14) & $i(v12) & $i(v10) & $i(v8)) | (v7 = e3 & v5 = e2 & v3 = e1 & v1
% 216.29/36.38 = e0 & op(v6, v6) = e3 & op(v4, v4) = e2 & op(v2, v2) = e1 & op(v0, v0) =
% 216.29/36.38 e0 & op(e0, e3) = v6 & op(e0, e2) = v4 & op(e0, e1) = v2 & op(e0, e0) = v0
% 216.29/36.38 & $i(v6) & $i(v4) & $i(v2) & $i(v0)))
% 216.29/36.38
% 216.29/36.38 (ax6)
% 216.29/36.38 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 216.29/36.38 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(v1, e3) = v2 &
% 216.29/36.38 op(e3, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e3, e1) = v1 &
% 216.29/36.38 $i(v1))))
% 216.29/36.38
% 216.29/36.38 (ax7)
% 216.29/36.39 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 216.29/36.39 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(v1, e2) = v2 &
% 216.29/36.39 op(e2, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e2, e1) = v1 &
% 216.29/36.39 $i(v1))))
% 216.29/36.39
% 216.29/36.39 (ax8)
% 216.29/36.39 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 216.29/36.39 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(v1, e3) = v2 &
% 216.29/36.39 op(e3, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e3, e2) = v1 &
% 216.29/36.39 $i(v1))))
% 216.29/36.39
% 216.29/36.39 (ax9)
% 216.29/36.39 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 216.29/36.39 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(v1, e1) = v2 &
% 216.29/36.39 op(e1, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e1, e2) = v1 &
% 216.29/36.39 $i(v1))))
% 216.29/36.39
% 216.29/36.39 (function-axioms)
% 216.29/36.39 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op(v3,
% 216.29/36.39 v2) = v1) | ~ (op(v3, v2) = v0))
% 216.29/36.39
% 216.29/36.39 Those formulas are unsatisfiable:
% 216.29/36.39 ---------------------------------
% 216.29/36.39
% 216.29/36.39 Begin of proof
% 216.29/36.39 |
% 216.29/36.39 | ALPHA: (ax1) implies:
% 216.74/36.40 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 216.74/36.40 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 216.74/36.40 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 216.74/36.40 | ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 & op(e3, e1) = v13
% 216.74/36.40 | & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 & op(e2, e1)
% 216.74/36.40 | = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 & op(e1,
% 216.74/36.40 | e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 216.74/36.40 | op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) &
% 216.74/36.40 | $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 216.74/36.40 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v15
% 216.74/36.40 | = e2 | v15 = e1 | v15 = e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14
% 216.74/36.40 | = e0) & (v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e3 |
% 216.74/36.40 | v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e3 | v11 = e2 | v11 = e1 |
% 216.74/36.40 | v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0) & (v9 = e3
% 216.74/36.40 | | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 | v8 = e1 | v8
% 216.74/36.40 | = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 | v6 =
% 216.74/36.40 | e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) &
% 216.74/36.40 | (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 =
% 216.74/36.40 | e1 | v3 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3
% 216.74/36.40 | | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0
% 216.74/36.40 | = e0))
% 216.74/36.40 |
% 216.74/36.40 | ALPHA: (ax2) implies:
% 216.74/36.42 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 216.74/36.42 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 216.74/36.42 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 216.74/36.42 | ? [v15: $i] : (((v15 = e3 & op(e3, e3) = e3) | (v14 = e3 & op(e3, e2)
% 216.74/36.42 | = e3) | (v11 = e3 & op(e3, e1) = e3) | (v6 = e3 & op(e3, e0) =
% 216.74/36.42 | e3)) & ((v15 = e3 & op(e3, e3) = e3) | (v13 = e3 & op(e2, e3) =
% 216.74/36.42 | e3) | (v9 = e3 & op(e1, e3) = e3) | (v3 = e3 & op(e0, e3) = e3))
% 216.74/36.42 | & ((v15 = e2 & op(e3, e3) = e2) | (v14 = e2 & op(e3, e2) = e2) | (v11
% 216.74/36.42 | = e2 & op(e3, e1) = e2) | (v6 = e2 & op(e3, e0) = e2)) & ((v15 =
% 216.74/36.42 | e2 & op(e3, e3) = e2) | (v13 = e2 & op(e2, e3) = e2) | (v9 = e2 &
% 216.74/36.42 | op(e1, e3) = e2) | (v3 = e2 & op(e0, e3) = e2)) & ((v15 = e1 &
% 216.74/36.42 | op(e3, e3) = e1) | (v14 = e1 & op(e3, e2) = e1) | (v11 = e1 &
% 216.74/36.42 | op(e3, e1) = e1) | (v6 = e1 & op(e3, e0) = e1)) & ((v15 = e1 &
% 216.74/36.42 | op(e3, e3) = e1) | (v13 = e1 & op(e2, e3) = e1) | (v9 = e1 &
% 216.74/36.42 | op(e1, e3) = e1) | (v3 = e1 & op(e0, e3) = e1)) & ((v15 = e0 &
% 216.74/36.42 | op(e3, e3) = e0) | (v14 = e0 & op(e3, e2) = e0) | (v11 = e0 &
% 216.74/36.42 | op(e3, e1) = e0) | (v6 = e0 & op(e3, e0) = e0)) & ((v15 = e0 &
% 216.74/36.42 | op(e3, e3) = e0) | (v13 = e0 & op(e2, e3) = e0) | (v9 = e0 &
% 216.74/36.42 | op(e1, e3) = e0) | (v3 = e0 & op(e0, e3) = e0)) & ((v14 = e3 &
% 216.74/36.42 | op(e3, e2) = e3) | (v12 = e3 & op(e2, e2) = e3) | (v8 = e3 &
% 216.74/36.42 | op(e1, e2) = e3) | (v2 = e3 & op(e0, e2) = e3)) & ((v14 = e2 &
% 216.74/36.42 | op(e3, e2) = e2) | (v12 = e2 & op(e2, e2) = e2) | (v8 = e2 &
% 216.74/36.42 | op(e1, e2) = e2) | (v2 = e2 & op(e0, e2) = e2)) & ((v14 = e1 &
% 216.74/36.42 | op(e3, e2) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v8 = e1 &
% 216.74/36.42 | op(e1, e2) = e1) | (v2 = e1 & op(e0, e2) = e1)) & ((v14 = e0 &
% 216.74/36.42 | op(e3, e2) = e0) | (v12 = e0 & op(e2, e2) = e0) | (v8 = e0 &
% 216.74/36.42 | op(e1, e2) = e0) | (v2 = e0 & op(e0, e2) = e0)) & ((v13 = e3 &
% 216.74/36.42 | op(e2, e3) = e3) | (v12 = e3 & op(e2, e2) = e3) | (v10 = e3 &
% 216.74/36.42 | op(e2, e1) = e3) | (v5 = e3 & op(e2, e0) = e3)) & ((v13 = e2 &
% 216.74/36.42 | op(e2, e3) = e2) | (v12 = e2 & op(e2, e2) = e2) | (v10 = e2 &
% 216.74/36.42 | op(e2, e1) = e2) | (v5 = e2 & op(e2, e0) = e2)) & ((v13 = e1 &
% 216.74/36.42 | op(e2, e3) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v10 = e1 &
% 216.74/36.42 | op(e2, e1) = e1) | (v5 = e1 & op(e2, e0) = e1)) & ((v13 = e0 &
% 216.74/36.42 | op(e2, e3) = e0) | (v12 = e0 & op(e2, e2) = e0) | (v10 = e0 &
% 216.74/36.42 | op(e2, e1) = e0) | (v5 = e0 & op(e2, e0) = e0)) & ((v11 = e3 &
% 216.74/36.42 | op(e3, e1) = e3) | (v10 = e3 & op(e2, e1) = e3) | (v7 = e3 &
% 216.74/36.42 | op(e1, e1) = e3) | (v1 = e3 & op(e0, e1) = e3)) & ((v11 = e2 &
% 216.74/36.42 | op(e3, e1) = e2) | (v10 = e2 & op(e2, e1) = e2) | (v7 = e2 &
% 216.74/36.42 | op(e1, e1) = e2) | (v1 = e2 & op(e0, e1) = e2)) & ((v11 = e1 &
% 216.74/36.42 | op(e3, e1) = e1) | (v10 = e1 & op(e2, e1) = e1) | (v7 = e1 &
% 216.74/36.42 | op(e1, e1) = e1) | (v1 = e1 & op(e0, e1) = e1)) & ((v11 = e0 &
% 216.74/36.42 | op(e3, e1) = e0) | (v10 = e0 & op(e2, e1) = e0) | (v7 = e0 &
% 216.74/36.42 | op(e1, e1) = e0) | (v1 = e0 & op(e0, e1) = e0)) & ((v9 = e3 &
% 216.74/36.42 | op(e1, e3) = e3) | (v8 = e3 & op(e1, e2) = e3) | (v7 = e3 &
% 216.74/36.42 | op(e1, e1) = e3) | (v4 = e3 & op(e1, e0) = e3)) & ((v9 = e2 &
% 216.74/36.42 | op(e1, e3) = e2) | (v8 = e2 & op(e1, e2) = e2) | (v7 = e2 &
% 216.74/36.42 | op(e1, e1) = e2) | (v4 = e2 & op(e1, e0) = e2)) & ((v9 = e1 &
% 216.74/36.42 | op(e1, e3) = e1) | (v8 = e1 & op(e1, e2) = e1) | (v7 = e1 &
% 216.74/36.42 | op(e1, e1) = e1) | (v4 = e1 & op(e1, e0) = e1)) & ((v9 = e0 &
% 216.74/36.42 | op(e1, e3) = e0) | (v8 = e0 & op(e1, e2) = e0) | (v7 = e0 &
% 216.74/36.42 | op(e1, e1) = e0) | (v4 = e0 & op(e1, e0) = e0)) & ((v6 = e3 &
% 216.74/36.42 | op(e3, e0) = e3) | (v5 = e3 & op(e2, e0) = e3) | (v4 = e3 &
% 216.74/36.42 | op(e1, e0) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v6 = e2 &
% 216.74/36.42 | op(e3, e0) = e2) | (v5 = e2 & op(e2, e0) = e2) | (v4 = e2 &
% 216.74/36.42 | op(e1, e0) = e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v6 = e1 &
% 216.74/36.42 | op(e3, e0) = e1) | (v5 = e1 & op(e2, e0) = e1) | (v4 = e1 &
% 216.74/36.42 | op(e1, e0) = e1) | (v0 = e1 & op(e0, e0) = e1)) & ((v3 = e3 &
% 216.74/36.42 | op(e0, e3) = e3) | (v2 = e3 & op(e0, e2) = e3) | (v1 = e3 &
% 216.74/36.42 | op(e0, e1) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v3 = e2 &
% 216.74/36.42 | op(e0, e3) = e2) | (v2 = e2 & op(e0, e2) = e2) | (v1 = e2 &
% 216.74/36.42 | op(e0, e1) = e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v3 = e1 &
% 216.74/36.42 | op(e0, e3) = e1) | (v2 = e1 & op(e0, e2) = e1) | (v1 = e1 &
% 216.74/36.42 | op(e0, e1) = e1) | (v0 = e1 & op(e0, e0) = e1)) & ((v0 = e0 &
% 216.74/36.42 | op(e0, e0) = e0) | (((v6 = e0 & op(e3, e0) = e0) | (v5 = e0 &
% 216.74/36.42 | op(e2, e0) = e0) | (v4 = e0 & op(e1, e0) = e0)) & ((v3 = e0 &
% 216.74/36.42 | op(e0, e3) = e0) | (v2 = e0 & op(e0, e2) = e0) | (v1 = e0 &
% 216.74/36.42 | op(e0, e1) = e0)))))
% 216.74/36.42 |
% 216.74/36.42 | ALPHA: (ax3) implies:
% 216.74/36.43 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 216.74/36.43 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 216.74/36.43 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 216.74/36.43 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~
% 216.74/36.43 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~
% 216.74/36.43 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~
% 216.74/36.43 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12
% 216.74/36.43 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 =
% 216.74/36.43 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9)
% 216.74/36.43 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~
% 216.74/36.43 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6)
% 216.74/36.43 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6
% 216.74/36.43 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) &
% 216.74/36.43 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 =
% 216.74/36.43 | v0) & ~ (v1 = v0) & op(e3, e3) = v15 & op(e3, e2) = v11 & op(e3,
% 216.74/36.43 | e1) = v7 & op(e3, e0) = v3 & op(e2, e3) = v14 & op(e2, e2) = v10 &
% 216.74/36.43 | op(e2, e1) = v6 & op(e2, e0) = v2 & op(e1, e3) = v13 & op(e1, e2) =
% 216.74/36.43 | v9 & op(e1, e1) = v5 & op(e1, e0) = v1 & op(e0, e3) = v12 & op(e0,
% 216.74/36.43 | e2) = v8 & op(e0, e1) = v4 & op(e0, e0) = v0 & $i(v15) & $i(v14) &
% 216.74/36.43 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 216.74/36.43 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 216.74/36.43 |
% 216.74/36.43 | ALPHA: (ax4) implies:
% 216.74/36.43 | (4) ~ (e1 = e0)
% 216.74/36.43 | (5) ~ (e2 = e0)
% 216.74/36.43 | (6) ~ (e2 = e1)
% 216.74/36.43 | (7) ~ (e3 = e0)
% 216.74/36.43 | (8) ~ (e3 = e1)
% 216.74/36.43 | (9) ~ (e3 = e2)
% 216.74/36.43 |
% 216.74/36.43 | ALPHA: (ax5) implies:
% 216.74/36.44 | (10) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 216.74/36.44 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 216.74/36.44 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 216.74/36.44 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 216.74/36.44 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 216.74/36.44 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 216.74/36.44 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ((v31 = e3 & v29
% 216.74/36.44 | = e2 & v27 = e1 & v25 = e0 & op(v30, v30) = e3 & op(v28, v28) = e2
% 216.74/36.44 | & op(v26, v26) = e1 & op(v24, v24) = e0 & op(e3, e3) = v30 &
% 216.74/36.44 | op(e3, e2) = v28 & op(e3, e1) = v26 & op(e3, e0) = v24 & $i(v30) &
% 216.74/36.44 | $i(v28) & $i(v26) & $i(v24)) | (v23 = e3 & v21 = e2 & v19 = e1 &
% 216.74/36.44 | v17 = e0 & op(v22, v22) = e3 & op(v20, v20) = e2 & op(v18, v18) =
% 216.74/36.44 | e1 & op(v16, v16) = e0 & op(e2, e3) = v22 & op(e2, e2) = v20 &
% 216.74/36.44 | op(e2, e1) = v18 & op(e2, e0) = v16 & $i(v22) & $i(v20) & $i(v18)
% 216.74/36.44 | & $i(v16)) | (v15 = e3 & v13 = e2 & v11 = e1 & v9 = e0 & op(v14,
% 216.74/36.44 | v14) = e3 & op(v12, v12) = e2 & op(v10, v10) = e1 & op(v8, v8) =
% 216.74/36.44 | e0 & op(e1, e3) = v14 & op(e1, e2) = v12 & op(e1, e1) = v10 &
% 216.74/36.44 | op(e1, e0) = v8 & $i(v14) & $i(v12) & $i(v10) & $i(v8)) | (v7 = e3
% 216.74/36.44 | & v5 = e2 & v3 = e1 & v1 = e0 & op(v6, v6) = e3 & op(v4, v4) = e2
% 216.74/36.44 | & op(v2, v2) = e1 & op(v0, v0) = e0 & op(e0, e3) = v6 & op(e0, e2)
% 216.74/36.44 | = v4 & op(e0, e1) = v2 & op(e0, e0) = v0 & $i(v6) & $i(v4) &
% 216.74/36.44 | $i(v2) & $i(v0)))
% 216.74/36.44 |
% 216.74/36.44 | ALPHA: (ax6) implies:
% 216.74/36.44 | (11) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 216.74/36.44 | ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(v1, e3) = v2 & op(e3, e1) = v1 &
% 216.74/36.44 | $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e3, e1) = v1 & $i(v1))))
% 216.74/36.44 |
% 216.74/36.44 | ALPHA: (ax7) implies:
% 216.74/36.44 | (12) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 216.74/36.44 | ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(v1, e2) = v2 & op(e2, e1) = v1 &
% 216.74/36.44 | $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e2, e1) = v1 & $i(v1))))
% 216.74/36.44 |
% 216.74/36.44 | ALPHA: (ax8) implies:
% 216.74/36.44 | (13) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 216.74/36.44 | ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(v1, e3) = v2 & op(e3, e2) = v1 &
% 216.74/36.44 | $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e3, e2) = v1 & $i(v1))))
% 216.74/36.44 |
% 216.74/36.44 | ALPHA: (ax9) implies:
% 216.74/36.45 | (14) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 216.74/36.45 | ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(v1, e1) = v2 & op(e1, e2) = v1 &
% 216.74/36.45 | $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e1, e2) = v1 & $i(v1))))
% 216.74/36.45 |
% 216.74/36.45 | ALPHA: (ax10) implies:
% 216.74/36.45 | (15) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 216.74/36.45 | ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(v1, e2) = v2 & op(e2, e3) = v1 &
% 216.74/36.45 | $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e2, e3) = v1 & $i(v1))))
% 216.74/36.45 |
% 216.74/36.45 | ALPHA: (ax11) implies:
% 216.74/36.45 | (16) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 216.74/36.45 | ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(v1, e1) = v2 & op(e1, e3) = v1 &
% 216.74/36.45 | $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e1, e3) = v1 & $i(v1))))
% 216.74/36.45 |
% 216.74/36.45 | ALPHA: (ax12) implies:
% 216.74/36.45 | (17) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 216.74/36.45 | ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(v1, e3) = v2 & op(e3, e0) = v1 &
% 216.74/36.45 | $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e3, e0) = v1 & $i(v1))))
% 216.74/36.45 |
% 216.74/36.45 | ALPHA: (ax13) implies:
% 216.74/36.45 | (18) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 216.74/36.45 | ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(v1, e2) = v2 & op(e2, e0) = v1 &
% 216.74/36.45 | $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e2, e0) = v1 & $i(v1))))
% 216.74/36.45 |
% 216.74/36.45 | ALPHA: (ax14) implies:
% 216.74/36.45 | (19) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 216.74/36.45 | ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(v1, e3) = v2 & op(e3, e2) = v1 &
% 216.74/36.45 | $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e3, e2) = v1 & $i(v1))))
% 216.74/36.45 |
% 216.74/36.45 | ALPHA: (ax15) implies:
% 216.74/36.45 | (20) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 216.74/36.45 | ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(v1, e0) = v2 & op(e0, e2) = v1 &
% 216.74/36.45 | $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e0, e2) = v1 & $i(v1))))
% 216.74/36.45 |
% 216.74/36.45 | ALPHA: (ax16) implies:
% 216.74/36.45 | (21) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 216.74/36.45 | ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(v1, e2) = v2 & op(e2, e3) = v1 &
% 216.74/36.45 | $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e2, e3) = v1 & $i(v1))))
% 216.74/36.45 |
% 216.74/36.45 | ALPHA: (ax17) implies:
% 216.74/36.45 | (22) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 216.74/36.45 | ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(v1, e0) = v2 & op(e0, e3) = v1 &
% 216.74/36.45 | $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e0, e3) = v1 & $i(v1))))
% 216.74/36.45 |
% 216.74/36.45 | ALPHA: (ax18) implies:
% 216.74/36.46 | (23) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 216.74/36.46 | ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(v1, e3) = v2 & op(e3, e0) = v1 &
% 216.74/36.46 | $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e3, e0) = v1 & $i(v1))))
% 216.74/36.46 |
% 216.74/36.46 | ALPHA: (ax19) implies:
% 216.74/36.46 | (24) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 216.74/36.46 | ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(v1, e1) = v2 & op(e1, e0) = v1 &
% 216.74/36.46 | $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e1, e0) = v1 & $i(v1))))
% 216.74/36.46 |
% 216.74/36.46 | ALPHA: (ax20) implies:
% 216.74/36.46 | (25) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 216.74/36.46 | ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(v1, e3) = v2 & op(e3, e1) = v1 &
% 216.74/36.46 | $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e3, e1) = v1 & $i(v1))))
% 216.74/36.46 |
% 216.74/36.46 | ALPHA: (ax21) implies:
% 216.74/36.46 | (26) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 216.74/36.46 | ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(v1, e0) = v2 & op(e0, e1) = v1 &
% 216.74/36.46 | $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e0, e1) = v1 & $i(v1))))
% 216.74/36.46 |
% 216.74/36.46 | ALPHA: (ax22) implies:
% 216.74/36.46 | (27) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 216.74/36.46 | ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(v1, e1) = v2 & op(e1, e3) = v1 &
% 216.74/36.46 | $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e1, e3) = v1 & $i(v1))))
% 216.74/36.46 |
% 216.74/36.46 | ALPHA: (ax23) implies:
% 216.74/36.46 | (28) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 216.74/36.46 | ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(v1, e0) = v2 & op(e0, e3) = v1 &
% 216.74/36.46 | $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e0, e3) = v1 & $i(v1))))
% 216.74/36.46 |
% 216.74/36.46 | ALPHA: (ax24) implies:
% 216.74/36.46 | (29) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 216.74/36.46 | ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(v1, e2) = v2 & op(e2, e0) = v1 &
% 216.74/36.46 | $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e2, e0) = v1 & $i(v1))))
% 216.74/36.46 |
% 216.74/36.46 | ALPHA: (ax25) implies:
% 216.74/36.46 | (30) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 216.74/36.46 | ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(v1, e1) = v2 & op(e1, e0) = v1 &
% 216.74/36.46 | $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e1, e0) = v1 & $i(v1))))
% 216.74/36.46 |
% 216.74/36.46 | ALPHA: (ax26) implies:
% 216.74/36.46 | (31) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 216.74/36.46 | ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(v1, e2) = v2 & op(e2, e1) = v1 &
% 216.74/36.46 | $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e2, e1) = v1 & $i(v1))))
% 216.74/36.46 |
% 216.74/36.46 | ALPHA: (ax27) implies:
% 216.74/36.46 | (32) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 216.74/36.46 | ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(v1, e0) = v2 & op(e0, e1) = v1 &
% 216.74/36.46 | $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e0, e1) = v1 & $i(v1))))
% 216.74/36.46 |
% 216.74/36.46 | ALPHA: (ax28) implies:
% 216.74/36.47 | (33) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 216.74/36.47 | ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(v1, e1) = v2 & op(e1, e2) = v1 &
% 216.74/36.47 | $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e1, e2) = v1 & $i(v1))))
% 216.74/36.47 |
% 216.74/36.47 | ALPHA: (ax29) implies:
% 216.74/36.47 | (34) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 216.74/36.47 | ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(v1, e0) = v2 & op(e0, e2) = v1 &
% 216.74/36.47 | $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e0, e2) = v1 & $i(v1))))
% 216.74/36.47 |
% 216.74/36.47 | DELTA: instantiating (20) with fresh symbols all_4_0, all_4_1, all_4_2 gives:
% 216.74/36.47 | (35) op(e0, e0) = all_4_2 & $i(all_4_2) & ( ~ (all_4_2 = e2) | ( ~ (all_4_0
% 216.74/36.47 | = e3) & op(all_4_1, e0) = all_4_0 & op(e0, e2) = all_4_1 &
% 216.74/36.47 | $i(all_4_0) & $i(all_4_1)) | ( ~ (all_4_1 = e1) & op(e0, e2) =
% 216.74/36.47 | all_4_1 & $i(all_4_1)))
% 216.74/36.47 |
% 216.74/36.47 | ALPHA: (35) implies:
% 216.74/36.47 | (36) op(e0, e0) = all_4_2
% 216.74/36.47 | (37) ~ (all_4_2 = e2) | ( ~ (all_4_0 = e3) & op(all_4_1, e0) = all_4_0 &
% 216.74/36.47 | op(e0, e2) = all_4_1 & $i(all_4_0) & $i(all_4_1)) | ( ~ (all_4_1 =
% 216.74/36.47 | e1) & op(e0, e2) = all_4_1 & $i(all_4_1))
% 216.74/36.47 |
% 216.74/36.47 | DELTA: instantiating (27) with fresh symbols all_6_0, all_6_1, all_6_2 gives:
% 216.74/36.47 | (38) op(e1, e1) = all_6_2 & $i(all_6_2) & ( ~ (all_6_2 = e3) | ( ~ (all_6_0
% 216.74/36.47 | = e0) & op(all_6_1, e1) = all_6_0 & op(e1, e3) = all_6_1 &
% 216.74/36.47 | $i(all_6_0) & $i(all_6_1)) | ( ~ (all_6_1 = e2) & op(e1, e3) =
% 216.74/36.47 | all_6_1 & $i(all_6_1)))
% 216.74/36.47 |
% 216.74/36.47 | ALPHA: (38) implies:
% 216.74/36.47 | (39) op(e1, e1) = all_6_2
% 216.74/36.47 | (40) ~ (all_6_2 = e3) | ( ~ (all_6_0 = e0) & op(all_6_1, e1) = all_6_0 &
% 216.74/36.47 | op(e1, e3) = all_6_1 & $i(all_6_0) & $i(all_6_1)) | ( ~ (all_6_1 =
% 216.74/36.47 | e2) & op(e1, e3) = all_6_1 & $i(all_6_1))
% 216.74/36.47 |
% 216.74/36.47 | DELTA: instantiating (21) with fresh symbols all_8_0, all_8_1, all_8_2 gives:
% 216.74/36.47 | (41) op(e2, e2) = all_8_2 & $i(all_8_2) & ( ~ (all_8_2 = e3) | ( ~ (all_8_0
% 216.74/36.47 | = e0) & op(all_8_1, e2) = all_8_0 & op(e2, e3) = all_8_1 &
% 216.74/36.47 | $i(all_8_0) & $i(all_8_1)) | ( ~ (all_8_1 = e1) & op(e2, e3) =
% 216.74/36.47 | all_8_1 & $i(all_8_1)))
% 216.74/36.47 |
% 216.74/36.47 | ALPHA: (41) implies:
% 216.74/36.47 | (42) op(e2, e2) = all_8_2
% 216.74/36.47 | (43) ~ (all_8_2 = e3) | ( ~ (all_8_0 = e0) & op(all_8_1, e2) = all_8_0 &
% 216.74/36.47 | op(e2, e3) = all_8_1 & $i(all_8_0) & $i(all_8_1)) | ( ~ (all_8_1 =
% 216.74/36.47 | e1) & op(e2, e3) = all_8_1 & $i(all_8_1))
% 216.74/36.47 |
% 216.74/36.47 | DELTA: instantiating (11) with fresh symbols all_10_0, all_10_1, all_10_2
% 216.74/36.47 | gives:
% 216.74/36.47 | (44) op(e3, e3) = all_10_2 & $i(all_10_2) & ( ~ (all_10_2 = e1) | ( ~
% 216.74/36.47 | (all_10_0 = e2) & op(all_10_1, e3) = all_10_0 & op(e3, e1) =
% 216.74/36.47 | all_10_1 & $i(all_10_0) & $i(all_10_1)) | ( ~ (all_10_1 = e0) &
% 216.74/36.47 | op(e3, e1) = all_10_1 & $i(all_10_1)))
% 216.74/36.47 |
% 216.74/36.47 | ALPHA: (44) implies:
% 216.74/36.47 | (45) op(e3, e3) = all_10_2
% 216.74/36.47 | (46) ~ (all_10_2 = e1) | ( ~ (all_10_0 = e2) & op(all_10_1, e3) = all_10_0
% 216.74/36.47 | & op(e3, e1) = all_10_1 & $i(all_10_0) & $i(all_10_1)) | ( ~
% 216.74/36.47 | (all_10_1 = e0) & op(e3, e1) = all_10_1 & $i(all_10_1))
% 216.74/36.47 |
% 216.74/36.47 | DELTA: instantiating (22) with fresh symbols all_12_0, all_12_1, all_12_2
% 216.74/36.47 | gives:
% 216.74/36.47 | (47) op(e0, e0) = all_12_2 & $i(all_12_2) & ( ~ (all_12_2 = e3) | ( ~
% 216.74/36.47 | (all_12_0 = e2) & op(all_12_1, e0) = all_12_0 & op(e0, e3) =
% 216.74/36.47 | all_12_1 & $i(all_12_0) & $i(all_12_1)) | ( ~ (all_12_1 = e1) &
% 216.74/36.47 | op(e0, e3) = all_12_1 & $i(all_12_1)))
% 216.74/36.47 |
% 216.74/36.47 | ALPHA: (47) implies:
% 216.74/36.48 | (48) op(e0, e0) = all_12_2
% 216.74/36.48 | (49) ~ (all_12_2 = e3) | ( ~ (all_12_0 = e2) & op(all_12_1, e0) = all_12_0
% 216.74/36.48 | & op(e0, e3) = all_12_1 & $i(all_12_0) & $i(all_12_1)) | ( ~
% 216.74/36.48 | (all_12_1 = e1) & op(e0, e3) = all_12_1 & $i(all_12_1))
% 216.74/36.48 |
% 216.74/36.48 | DELTA: instantiating (29) with fresh symbols all_14_0, all_14_1, all_14_2
% 216.74/36.48 | gives:
% 216.74/36.48 | (50) op(e2, e2) = all_14_2 & $i(all_14_2) & ( ~ (all_14_2 = e0) | ( ~
% 216.74/36.48 | (all_14_0 = e1) & op(all_14_1, e2) = all_14_0 & op(e2, e0) =
% 216.74/36.48 | all_14_1 & $i(all_14_0) & $i(all_14_1)) | ( ~ (all_14_1 = e3) &
% 216.74/36.48 | op(e2, e0) = all_14_1 & $i(all_14_1)))
% 216.74/36.48 |
% 216.74/36.48 | ALPHA: (50) implies:
% 216.74/36.48 | (51) op(e2, e2) = all_14_2
% 216.74/36.48 | (52) ~ (all_14_2 = e0) | ( ~ (all_14_0 = e1) & op(all_14_1, e2) = all_14_0
% 216.74/36.48 | & op(e2, e0) = all_14_1 & $i(all_14_0) & $i(all_14_1)) | ( ~
% 216.74/36.48 | (all_14_1 = e3) & op(e2, e0) = all_14_1 & $i(all_14_1))
% 216.74/36.48 |
% 216.74/36.48 | DELTA: instantiating (31) with fresh symbols all_16_0, all_16_1, all_16_2
% 216.74/36.48 | gives:
% 216.74/36.48 | (53) op(e2, e2) = all_16_2 & $i(all_16_2) & ( ~ (all_16_2 = e1) | ( ~
% 216.74/36.48 | (all_16_0 = e0) & op(all_16_1, e2) = all_16_0 & op(e2, e1) =
% 216.74/36.48 | all_16_1 & $i(all_16_0) & $i(all_16_1)) | ( ~ (all_16_1 = e3) &
% 216.74/36.48 | op(e2, e1) = all_16_1 & $i(all_16_1)))
% 216.74/36.48 |
% 216.74/36.48 | ALPHA: (53) implies:
% 216.74/36.48 | (54) op(e2, e2) = all_16_2
% 216.74/36.48 | (55) ~ (all_16_2 = e1) | ( ~ (all_16_0 = e0) & op(all_16_1, e2) = all_16_0
% 216.74/36.48 | & op(e2, e1) = all_16_1 & $i(all_16_0) & $i(all_16_1)) | ( ~
% 216.74/36.48 | (all_16_1 = e3) & op(e2, e1) = all_16_1 & $i(all_16_1))
% 216.74/36.48 |
% 216.74/36.48 | DELTA: instantiating (23) with fresh symbols all_18_0, all_18_1, all_18_2
% 216.74/36.48 | gives:
% 216.74/36.48 | (56) op(e3, e3) = all_18_2 & $i(all_18_2) & ( ~ (all_18_2 = e0) | ( ~
% 216.74/36.48 | (all_18_0 = e1) & op(all_18_1, e3) = all_18_0 & op(e3, e0) =
% 216.74/36.48 | all_18_1 & $i(all_18_0) & $i(all_18_1)) | ( ~ (all_18_1 = e2) &
% 216.74/36.48 | op(e3, e0) = all_18_1 & $i(all_18_1)))
% 216.74/36.48 |
% 216.74/36.48 | ALPHA: (56) implies:
% 216.74/36.48 | (57) op(e3, e3) = all_18_2
% 216.74/36.48 | (58) ~ (all_18_2 = e0) | ( ~ (all_18_0 = e1) & op(all_18_1, e3) = all_18_0
% 216.74/36.48 | & op(e3, e0) = all_18_1 & $i(all_18_0) & $i(all_18_1)) | ( ~
% 216.74/36.48 | (all_18_1 = e2) & op(e3, e0) = all_18_1 & $i(all_18_1))
% 216.74/36.48 |
% 216.74/36.48 | DELTA: instantiating (13) with fresh symbols all_20_0, all_20_1, all_20_2
% 216.74/36.48 | gives:
% 216.74/36.48 | (59) op(e3, e3) = all_20_2 & $i(all_20_2) & ( ~ (all_20_2 = e2) | ( ~
% 216.74/36.48 | (all_20_0 = e1) & op(all_20_1, e3) = all_20_0 & op(e3, e2) =
% 216.74/36.48 | all_20_1 & $i(all_20_0) & $i(all_20_1)) | ( ~ (all_20_1 = e0) &
% 216.74/36.48 | op(e3, e2) = all_20_1 & $i(all_20_1)))
% 216.74/36.48 |
% 216.74/36.48 | ALPHA: (59) implies:
% 216.74/36.48 | (60) op(e3, e3) = all_20_2
% 216.74/36.48 | (61) ~ (all_20_2 = e2) | ( ~ (all_20_0 = e1) & op(all_20_1, e3) = all_20_0
% 216.74/36.48 | & op(e3, e2) = all_20_1 & $i(all_20_0) & $i(all_20_1)) | ( ~
% 216.74/36.48 | (all_20_1 = e0) & op(e3, e2) = all_20_1 & $i(all_20_1))
% 216.74/36.48 |
% 216.74/36.48 | DELTA: instantiating (28) with fresh symbols all_22_0, all_22_1, all_22_2
% 216.74/36.48 | gives:
% 216.74/36.48 | (62) op(e0, e0) = all_22_2 & $i(all_22_2) & ( ~ (all_22_2 = e3) | ( ~
% 216.74/36.48 | (all_22_0 = e1) & op(all_22_1, e0) = all_22_0 & op(e0, e3) =
% 216.74/36.48 | all_22_1 & $i(all_22_0) & $i(all_22_1)) | ( ~ (all_22_1 = e2) &
% 216.74/36.48 | op(e0, e3) = all_22_1 & $i(all_22_1)))
% 216.74/36.48 |
% 216.74/36.48 | ALPHA: (62) implies:
% 216.74/36.48 | (63) op(e0, e0) = all_22_2
% 216.74/36.48 | (64) ~ (all_22_2 = e3) | ( ~ (all_22_0 = e1) & op(all_22_1, e0) = all_22_0
% 216.74/36.48 | & op(e0, e3) = all_22_1 & $i(all_22_0) & $i(all_22_1)) | ( ~
% 216.74/36.48 | (all_22_1 = e2) & op(e0, e3) = all_22_1 & $i(all_22_1))
% 216.74/36.48 |
% 216.74/36.48 | DELTA: instantiating (30) with fresh symbols all_24_0, all_24_1, all_24_2
% 216.74/36.48 | gives:
% 216.74/36.48 | (65) op(e1, e1) = all_24_2 & $i(all_24_2) & ( ~ (all_24_2 = e0) | ( ~
% 216.74/36.48 | (all_24_0 = e2) & op(all_24_1, e1) = all_24_0 & op(e1, e0) =
% 216.74/36.48 | all_24_1 & $i(all_24_0) & $i(all_24_1)) | ( ~ (all_24_1 = e3) &
% 216.74/36.48 | op(e1, e0) = all_24_1 & $i(all_24_1)))
% 216.74/36.48 |
% 216.74/36.48 | ALPHA: (65) implies:
% 216.74/36.48 | (66) op(e1, e1) = all_24_2
% 216.74/36.48 | (67) ~ (all_24_2 = e0) | ( ~ (all_24_0 = e2) & op(all_24_1, e1) = all_24_0
% 216.74/36.48 | & op(e1, e0) = all_24_1 & $i(all_24_0) & $i(all_24_1)) | ( ~
% 216.74/36.48 | (all_24_1 = e3) & op(e1, e0) = all_24_1 & $i(all_24_1))
% 216.74/36.48 |
% 216.74/36.48 | DELTA: instantiating (12) with fresh symbols all_26_0, all_26_1, all_26_2
% 216.74/36.48 | gives:
% 216.74/36.48 | (68) op(e2, e2) = all_26_2 & $i(all_26_2) & ( ~ (all_26_2 = e1) | ( ~
% 216.74/36.48 | (all_26_0 = e3) & op(all_26_1, e2) = all_26_0 & op(e2, e1) =
% 216.74/36.48 | all_26_1 & $i(all_26_0) & $i(all_26_1)) | ( ~ (all_26_1 = e0) &
% 216.74/36.48 | op(e2, e1) = all_26_1 & $i(all_26_1)))
% 216.74/36.48 |
% 216.74/36.48 | ALPHA: (68) implies:
% 216.74/36.48 | (69) op(e2, e2) = all_26_2
% 216.74/36.49 | (70) ~ (all_26_2 = e1) | ( ~ (all_26_0 = e3) & op(all_26_1, e2) = all_26_0
% 216.74/36.49 | & op(e2, e1) = all_26_1 & $i(all_26_0) & $i(all_26_1)) | ( ~
% 216.74/36.49 | (all_26_1 = e0) & op(e2, e1) = all_26_1 & $i(all_26_1))
% 216.74/36.49 |
% 216.74/36.49 | DELTA: instantiating (19) with fresh symbols all_28_0, all_28_1, all_28_2
% 216.74/36.49 | gives:
% 216.74/36.49 | (71) op(e3, e3) = all_28_2 & $i(all_28_2) & ( ~ (all_28_2 = e2) | ( ~
% 216.74/36.49 | (all_28_0 = e0) & op(all_28_1, e3) = all_28_0 & op(e3, e2) =
% 216.74/36.49 | all_28_1 & $i(all_28_0) & $i(all_28_1)) | ( ~ (all_28_1 = e1) &
% 216.74/36.49 | op(e3, e2) = all_28_1 & $i(all_28_1)))
% 216.74/36.49 |
% 216.74/36.49 | ALPHA: (71) implies:
% 216.74/36.49 | (72) op(e3, e3) = all_28_2
% 216.74/36.49 | (73) ~ (all_28_2 = e2) | ( ~ (all_28_0 = e0) & op(all_28_1, e3) = all_28_0
% 216.74/36.49 | & op(e3, e2) = all_28_1 & $i(all_28_0) & $i(all_28_1)) | ( ~
% 216.74/36.49 | (all_28_1 = e1) & op(e3, e2) = all_28_1 & $i(all_28_1))
% 216.74/36.49 |
% 216.74/36.49 | DELTA: instantiating (32) with fresh symbols all_30_0, all_30_1, all_30_2
% 216.74/36.49 | gives:
% 217.18/36.49 | (74) op(e0, e0) = all_30_2 & $i(all_30_2) & ( ~ (all_30_2 = e1) | ( ~
% 217.18/36.49 | (all_30_0 = e2) & op(all_30_1, e0) = all_30_0 & op(e0, e1) =
% 217.18/36.49 | all_30_1 & $i(all_30_0) & $i(all_30_1)) | ( ~ (all_30_1 = e3) &
% 217.18/36.49 | op(e0, e1) = all_30_1 & $i(all_30_1)))
% 217.18/36.49 |
% 217.18/36.49 | ALPHA: (74) implies:
% 217.18/36.49 | (75) op(e0, e0) = all_30_2
% 217.18/36.49 | (76) ~ (all_30_2 = e1) | ( ~ (all_30_0 = e2) & op(all_30_1, e0) = all_30_0
% 217.18/36.49 | & op(e0, e1) = all_30_1 & $i(all_30_0) & $i(all_30_1)) | ( ~
% 217.18/36.49 | (all_30_1 = e3) & op(e0, e1) = all_30_1 & $i(all_30_1))
% 217.18/36.49 |
% 217.18/36.49 | DELTA: instantiating (34) with fresh symbols all_32_0, all_32_1, all_32_2
% 217.18/36.49 | gives:
% 217.18/36.49 | (77) op(e0, e0) = all_32_2 & $i(all_32_2) & ( ~ (all_32_2 = e2) | ( ~
% 217.18/36.49 | (all_32_0 = e1) & op(all_32_1, e0) = all_32_0 & op(e0, e2) =
% 217.18/36.49 | all_32_1 & $i(all_32_0) & $i(all_32_1)) | ( ~ (all_32_1 = e3) &
% 217.18/36.49 | op(e0, e2) = all_32_1 & $i(all_32_1)))
% 217.18/36.49 |
% 217.18/36.49 | ALPHA: (77) implies:
% 217.18/36.49 | (78) op(e0, e0) = all_32_2
% 217.18/36.49 | (79) ~ (all_32_2 = e2) | ( ~ (all_32_0 = e1) & op(all_32_1, e0) = all_32_0
% 217.18/36.49 | & op(e0, e2) = all_32_1 & $i(all_32_0) & $i(all_32_1)) | ( ~
% 217.18/36.49 | (all_32_1 = e3) & op(e0, e2) = all_32_1 & $i(all_32_1))
% 217.18/36.49 |
% 217.18/36.49 | DELTA: instantiating (24) with fresh symbols all_34_0, all_34_1, all_34_2
% 217.18/36.49 | gives:
% 217.18/36.49 | (80) op(e1, e1) = all_34_2 & $i(all_34_2) & ( ~ (all_34_2 = e0) | ( ~
% 217.18/36.49 | (all_34_0 = e3) & op(all_34_1, e1) = all_34_0 & op(e1, e0) =
% 217.18/36.49 | all_34_1 & $i(all_34_0) & $i(all_34_1)) | ( ~ (all_34_1 = e2) &
% 217.18/36.49 | op(e1, e0) = all_34_1 & $i(all_34_1)))
% 217.18/36.49 |
% 217.18/36.49 | ALPHA: (80) implies:
% 217.18/36.49 | (81) op(e1, e1) = all_34_2
% 217.18/36.49 | (82) ~ (all_34_2 = e0) | ( ~ (all_34_0 = e3) & op(all_34_1, e1) = all_34_0
% 217.18/36.49 | & op(e1, e0) = all_34_1 & $i(all_34_0) & $i(all_34_1)) | ( ~
% 217.18/36.49 | (all_34_1 = e2) & op(e1, e0) = all_34_1 & $i(all_34_1))
% 217.18/36.49 |
% 217.18/36.49 | DELTA: instantiating (25) with fresh symbols all_36_0, all_36_1, all_36_2
% 217.18/36.49 | gives:
% 217.18/36.49 | (83) op(e3, e3) = all_36_2 & $i(all_36_2) & ( ~ (all_36_2 = e1) | ( ~
% 217.18/36.49 | (all_36_0 = e0) & op(all_36_1, e3) = all_36_0 & op(e3, e1) =
% 217.18/36.49 | all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 = e2) &
% 217.18/36.49 | op(e3, e1) = all_36_1 & $i(all_36_1)))
% 217.18/36.49 |
% 217.18/36.49 | ALPHA: (83) implies:
% 217.18/36.49 | (84) op(e3, e3) = all_36_2
% 217.18/36.49 | (85) ~ (all_36_2 = e1) | ( ~ (all_36_0 = e0) & op(all_36_1, e3) = all_36_0
% 217.18/36.49 | & op(e3, e1) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~
% 217.18/36.49 | (all_36_1 = e2) & op(e3, e1) = all_36_1 & $i(all_36_1))
% 217.18/36.49 |
% 217.18/36.49 | DELTA: instantiating (33) with fresh symbols all_38_0, all_38_1, all_38_2
% 217.18/36.49 | gives:
% 217.18/36.49 | (86) op(e1, e1) = all_38_2 & $i(all_38_2) & ( ~ (all_38_2 = e2) | ( ~
% 217.18/36.49 | (all_38_0 = e0) & op(all_38_1, e1) = all_38_0 & op(e1, e2) =
% 217.18/36.49 | all_38_1 & $i(all_38_0) & $i(all_38_1)) | ( ~ (all_38_1 = e3) &
% 217.18/36.49 | op(e1, e2) = all_38_1 & $i(all_38_1)))
% 217.18/36.49 |
% 217.18/36.49 | ALPHA: (86) implies:
% 217.18/36.49 | (87) op(e1, e1) = all_38_2
% 217.18/36.49 | (88) ~ (all_38_2 = e2) | ( ~ (all_38_0 = e0) & op(all_38_1, e1) = all_38_0
% 217.18/36.49 | & op(e1, e2) = all_38_1 & $i(all_38_0) & $i(all_38_1)) | ( ~
% 217.18/36.49 | (all_38_1 = e3) & op(e1, e2) = all_38_1 & $i(all_38_1))
% 217.18/36.49 |
% 217.18/36.49 | DELTA: instantiating (26) with fresh symbols all_40_0, all_40_1, all_40_2
% 217.18/36.49 | gives:
% 217.18/36.49 | (89) op(e0, e0) = all_40_2 & $i(all_40_2) & ( ~ (all_40_2 = e1) | ( ~
% 217.18/36.49 | (all_40_0 = e3) & op(all_40_1, e0) = all_40_0 & op(e0, e1) =
% 217.18/36.49 | all_40_1 & $i(all_40_0) & $i(all_40_1)) | ( ~ (all_40_1 = e2) &
% 217.18/36.49 | op(e0, e1) = all_40_1 & $i(all_40_1)))
% 217.18/36.49 |
% 217.18/36.49 | ALPHA: (89) implies:
% 217.18/36.49 | (90) op(e0, e0) = all_40_2
% 217.18/36.49 | (91) ~ (all_40_2 = e1) | ( ~ (all_40_0 = e3) & op(all_40_1, e0) = all_40_0
% 217.18/36.49 | & op(e0, e1) = all_40_1 & $i(all_40_0) & $i(all_40_1)) | ( ~
% 217.18/36.49 | (all_40_1 = e2) & op(e0, e1) = all_40_1 & $i(all_40_1))
% 217.18/36.49 |
% 217.18/36.49 | DELTA: instantiating (14) with fresh symbols all_42_0, all_42_1, all_42_2
% 217.18/36.49 | gives:
% 217.18/36.49 | (92) op(e1, e1) = all_42_2 & $i(all_42_2) & ( ~ (all_42_2 = e2) | ( ~
% 217.18/36.49 | (all_42_0 = e3) & op(all_42_1, e1) = all_42_0 & op(e1, e2) =
% 217.18/36.49 | all_42_1 & $i(all_42_0) & $i(all_42_1)) | ( ~ (all_42_1 = e0) &
% 217.18/36.49 | op(e1, e2) = all_42_1 & $i(all_42_1)))
% 217.18/36.49 |
% 217.18/36.49 | ALPHA: (92) implies:
% 217.18/36.49 | (93) op(e1, e1) = all_42_2
% 217.18/36.50 | (94) ~ (all_42_2 = e2) | ( ~ (all_42_0 = e3) & op(all_42_1, e1) = all_42_0
% 217.18/36.50 | & op(e1, e2) = all_42_1 & $i(all_42_0) & $i(all_42_1)) | ( ~
% 217.18/36.50 | (all_42_1 = e0) & op(e1, e2) = all_42_1 & $i(all_42_1))
% 217.18/36.50 |
% 217.18/36.50 | DELTA: instantiating (15) with fresh symbols all_44_0, all_44_1, all_44_2
% 217.18/36.50 | gives:
% 217.18/36.50 | (95) op(e2, e2) = all_44_2 & $i(all_44_2) & ( ~ (all_44_2 = e3) | ( ~
% 217.18/36.50 | (all_44_0 = e1) & op(all_44_1, e2) = all_44_0 & op(e2, e3) =
% 217.18/36.50 | all_44_1 & $i(all_44_0) & $i(all_44_1)) | ( ~ (all_44_1 = e0) &
% 217.18/36.50 | op(e2, e3) = all_44_1 & $i(all_44_1)))
% 217.18/36.50 |
% 217.18/36.50 | ALPHA: (95) implies:
% 217.18/36.50 | (96) op(e2, e2) = all_44_2
% 217.18/36.50 | (97) ~ (all_44_2 = e3) | ( ~ (all_44_0 = e1) & op(all_44_1, e2) = all_44_0
% 217.18/36.50 | & op(e2, e3) = all_44_1 & $i(all_44_0) & $i(all_44_1)) | ( ~
% 217.18/36.50 | (all_44_1 = e0) & op(e2, e3) = all_44_1 & $i(all_44_1))
% 217.18/36.50 |
% 217.18/36.50 | DELTA: instantiating (16) with fresh symbols all_46_0, all_46_1, all_46_2
% 217.18/36.50 | gives:
% 217.18/36.50 | (98) op(e1, e1) = all_46_2 & $i(all_46_2) & ( ~ (all_46_2 = e3) | ( ~
% 217.18/36.50 | (all_46_0 = e2) & op(all_46_1, e1) = all_46_0 & op(e1, e3) =
% 217.18/36.50 | all_46_1 & $i(all_46_0) & $i(all_46_1)) | ( ~ (all_46_1 = e0) &
% 217.18/36.50 | op(e1, e3) = all_46_1 & $i(all_46_1)))
% 217.18/36.50 |
% 217.18/36.50 | ALPHA: (98) implies:
% 217.18/36.50 | (99) op(e1, e1) = all_46_2
% 217.18/36.50 | (100) ~ (all_46_2 = e3) | ( ~ (all_46_0 = e2) & op(all_46_1, e1) =
% 217.18/36.50 | all_46_0 & op(e1, e3) = all_46_1 & $i(all_46_0) & $i(all_46_1)) | (
% 217.18/36.50 | ~ (all_46_1 = e0) & op(e1, e3) = all_46_1 & $i(all_46_1))
% 217.18/36.50 |
% 217.18/36.50 | DELTA: instantiating (17) with fresh symbols all_48_0, all_48_1, all_48_2
% 217.18/36.50 | gives:
% 217.18/36.50 | (101) op(e3, e3) = all_48_2 & $i(all_48_2) & ( ~ (all_48_2 = e0) | ( ~
% 217.18/36.50 | (all_48_0 = e2) & op(all_48_1, e3) = all_48_0 & op(e3, e0) =
% 217.18/36.50 | all_48_1 & $i(all_48_0) & $i(all_48_1)) | ( ~ (all_48_1 = e1) &
% 217.18/36.50 | op(e3, e0) = all_48_1 & $i(all_48_1)))
% 217.18/36.50 |
% 217.18/36.50 | ALPHA: (101) implies:
% 217.18/36.50 | (102) op(e3, e3) = all_48_2
% 217.18/36.50 | (103) ~ (all_48_2 = e0) | ( ~ (all_48_0 = e2) & op(all_48_1, e3) =
% 217.18/36.50 | all_48_0 & op(e3, e0) = all_48_1 & $i(all_48_0) & $i(all_48_1)) | (
% 217.18/36.50 | ~ (all_48_1 = e1) & op(e3, e0) = all_48_1 & $i(all_48_1))
% 217.18/36.50 |
% 217.18/36.50 | DELTA: instantiating (18) with fresh symbols all_50_0, all_50_1, all_50_2
% 217.18/36.50 | gives:
% 217.18/36.50 | (104) op(e2, e2) = all_50_2 & $i(all_50_2) & ( ~ (all_50_2 = e0) | ( ~
% 217.18/36.50 | (all_50_0 = e3) & op(all_50_1, e2) = all_50_0 & op(e2, e0) =
% 217.18/36.50 | all_50_1 & $i(all_50_0) & $i(all_50_1)) | ( ~ (all_50_1 = e1) &
% 217.18/36.50 | op(e2, e0) = all_50_1 & $i(all_50_1)))
% 217.18/36.50 |
% 217.18/36.50 | ALPHA: (104) implies:
% 217.18/36.50 | (105) op(e2, e2) = all_50_2
% 217.18/36.50 | (106) ~ (all_50_2 = e0) | ( ~ (all_50_0 = e3) & op(all_50_1, e2) =
% 217.18/36.50 | all_50_0 & op(e2, e0) = all_50_1 & $i(all_50_0) & $i(all_50_1)) | (
% 217.18/36.50 | ~ (all_50_1 = e1) & op(e2, e0) = all_50_1 & $i(all_50_1))
% 217.18/36.50 |
% 217.18/36.50 | DELTA: instantiating (10) with fresh symbols all_52_0, all_52_1, all_52_2,
% 217.18/36.50 | all_52_3, all_52_4, all_52_5, all_52_6, all_52_7, all_52_8, all_52_9,
% 217.18/36.50 | all_52_10, all_52_11, all_52_12, all_52_13, all_52_14, all_52_15,
% 217.18/36.50 | all_52_16, all_52_17, all_52_18, all_52_19, all_52_20, all_52_21,
% 217.18/36.50 | all_52_22, all_52_23, all_52_24, all_52_25, all_52_26, all_52_27,
% 217.18/36.50 | all_52_28, all_52_29, all_52_30, all_52_31 gives:
% 217.18/36.50 | (107) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 & all_52_6 = e0 &
% 217.18/36.50 | op(all_52_1, all_52_1) = e3 & op(all_52_3, all_52_3) = e2 &
% 217.18/36.50 | op(all_52_5, all_52_5) = e1 & op(all_52_7, all_52_7) = e0 & op(e3,
% 217.18/36.50 | e3) = all_52_1 & op(e3, e2) = all_52_3 & op(e3, e1) = all_52_5 &
% 217.18/36.50 | op(e3, e0) = all_52_7 & $i(all_52_1) & $i(all_52_3) & $i(all_52_5)
% 217.18/36.50 | & $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1
% 217.18/36.50 | & all_52_14 = e0 & op(all_52_9, all_52_9) = e3 & op(all_52_11,
% 217.18/36.50 | all_52_11) = e2 & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 217.18/36.50 | all_52_15) = e0 & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11
% 217.18/36.50 | & op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 217.18/36.50 | $i(all_52_11) & $i(all_52_13) & $i(all_52_15)) | (all_52_16 = e3 &
% 217.18/36.50 | all_52_18 = e2 & all_52_20 = e1 & all_52_22 = e0 & op(all_52_17,
% 217.18/36.50 | all_52_17) = e3 & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 217.18/36.50 | all_52_21) = e1 & op(all_52_23, all_52_23) = e0 & op(e1, e3) =
% 217.18/36.50 | all_52_17 & op(e1, e2) = all_52_19 & op(e1, e1) = all_52_21 &
% 217.18/36.50 | op(e1, e0) = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 217.18/36.50 | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3 & all_52_26 = e2 &
% 217.18/36.50 | all_52_28 = e1 & all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 217.18/36.50 | op(all_52_27, all_52_27) = e2 & op(all_52_29, all_52_29) = e1 &
% 217.18/36.50 | op(all_52_31, all_52_31) = e0 & op(e0, e3) = all_52_25 & op(e0, e2)
% 217.18/36.50 | = all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31 &
% 217.18/36.50 | $i(all_52_25) & $i(all_52_27) & $i(all_52_29) & $i(all_52_31))
% 217.18/36.50 |
% 217.18/36.50 | DELTA: instantiating (3) with fresh symbols all_53_0, all_53_1, all_53_2,
% 217.18/36.50 | all_53_3, all_53_4, all_53_5, all_53_6, all_53_7, all_53_8, all_53_9,
% 217.18/36.50 | all_53_10, all_53_11, all_53_12, all_53_13, all_53_14, all_53_15 gives:
% 217.18/36.51 | (108) ~ (all_53_0 = all_53_1) & ~ (all_53_0 = all_53_2) & ~ (all_53_0 =
% 217.18/36.51 | all_53_3) & ~ (all_53_0 = all_53_4) & ~ (all_53_0 = all_53_8) &
% 217.18/36.51 | ~ (all_53_0 = all_53_12) & ~ (all_53_1 = all_53_2) & ~ (all_53_1 =
% 217.18/36.51 | all_53_3) & ~ (all_53_1 = all_53_5) & ~ (all_53_1 = all_53_9) &
% 217.18/36.51 | ~ (all_53_1 = all_53_13) & ~ (all_53_2 = all_53_3) & ~ (all_53_2 =
% 217.18/36.51 | all_53_6) & ~ (all_53_2 = all_53_10) & ~ (all_53_2 = all_53_14) &
% 217.18/36.51 | ~ (all_53_3 = all_53_7) & ~ (all_53_3 = all_53_11) & ~ (all_53_3 =
% 217.18/36.51 | all_53_15) & ~ (all_53_4 = all_53_5) & ~ (all_53_4 = all_53_6) &
% 217.18/36.51 | ~ (all_53_4 = all_53_7) & ~ (all_53_4 = all_53_8) & ~ (all_53_4 =
% 217.18/36.51 | all_53_12) & ~ (all_53_5 = all_53_6) & ~ (all_53_5 = all_53_7) &
% 217.18/36.51 | ~ (all_53_5 = all_53_9) & ~ (all_53_5 = all_53_13) & ~ (all_53_6 =
% 217.18/36.51 | all_53_7) & ~ (all_53_6 = all_53_10) & ~ (all_53_6 = all_53_14) &
% 217.18/36.51 | ~ (all_53_7 = all_53_11) & ~ (all_53_7 = all_53_15) & ~ (all_53_8
% 217.18/36.51 | = all_53_9) & ~ (all_53_8 = all_53_10) & ~ (all_53_8 = all_53_11)
% 217.18/36.51 | & ~ (all_53_8 = all_53_12) & ~ (all_53_9 = all_53_10) & ~
% 217.18/36.51 | (all_53_9 = all_53_11) & ~ (all_53_9 = all_53_13) & ~ (all_53_10 =
% 217.18/36.51 | all_53_11) & ~ (all_53_10 = all_53_14) & ~ (all_53_11 =
% 217.18/36.51 | all_53_15) & ~ (all_53_12 = all_53_13) & ~ (all_53_12 =
% 217.18/36.51 | all_53_14) & ~ (all_53_12 = all_53_15) & ~ (all_53_13 =
% 217.18/36.51 | all_53_14) & ~ (all_53_13 = all_53_15) & ~ (all_53_14 =
% 217.18/36.51 | all_53_15) & op(e3, e3) = all_53_0 & op(e3, e2) = all_53_4 & op(e3,
% 217.18/36.51 | e1) = all_53_8 & op(e3, e0) = all_53_12 & op(e2, e3) = all_53_1 &
% 217.18/36.51 | op(e2, e2) = all_53_5 & op(e2, e1) = all_53_9 & op(e2, e0) =
% 217.18/36.51 | all_53_13 & op(e1, e3) = all_53_2 & op(e1, e2) = all_53_6 & op(e1,
% 217.18/36.51 | e1) = all_53_10 & op(e1, e0) = all_53_14 & op(e0, e3) = all_53_3 &
% 217.18/36.51 | op(e0, e2) = all_53_7 & op(e0, e1) = all_53_11 & op(e0, e0) =
% 217.18/36.51 | all_53_15 & $i(all_53_0) & $i(all_53_1) & $i(all_53_2) & $i(all_53_3)
% 217.18/36.51 | & $i(all_53_4) & $i(all_53_5) & $i(all_53_6) & $i(all_53_7) &
% 217.18/36.51 | $i(all_53_8) & $i(all_53_9) & $i(all_53_10) & $i(all_53_11) &
% 217.18/36.51 | $i(all_53_12) & $i(all_53_13) & $i(all_53_14) & $i(all_53_15)
% 217.18/36.51 |
% 217.18/36.51 | ALPHA: (108) implies:
% 217.18/36.51 | (109) ~ (all_53_14 = all_53_15)
% 217.18/36.51 | (110) ~ (all_53_13 = all_53_15)
% 217.18/36.51 | (111) ~ (all_53_13 = all_53_14)
% 217.18/36.51 | (112) ~ (all_53_12 = all_53_15)
% 217.18/36.51 | (113) ~ (all_53_12 = all_53_14)
% 217.18/36.51 | (114) ~ (all_53_12 = all_53_13)
% 217.18/36.51 | (115) ~ (all_53_11 = all_53_15)
% 217.18/36.51 | (116) ~ (all_53_10 = all_53_14)
% 217.18/36.51 | (117) ~ (all_53_10 = all_53_11)
% 217.18/36.51 | (118) ~ (all_53_9 = all_53_13)
% 217.18/36.51 | (119) ~ (all_53_9 = all_53_11)
% 217.18/36.51 | (120) ~ (all_53_9 = all_53_10)
% 217.18/36.51 | (121) ~ (all_53_8 = all_53_12)
% 217.18/36.51 | (122) ~ (all_53_8 = all_53_11)
% 217.18/36.51 | (123) ~ (all_53_8 = all_53_10)
% 217.18/36.51 | (124) ~ (all_53_8 = all_53_9)
% 217.18/36.51 | (125) ~ (all_53_7 = all_53_15)
% 217.18/36.51 | (126) ~ (all_53_7 = all_53_11)
% 217.18/36.51 | (127) ~ (all_53_6 = all_53_14)
% 217.18/36.51 | (128) ~ (all_53_6 = all_53_10)
% 217.18/36.51 | (129) ~ (all_53_6 = all_53_7)
% 217.18/36.51 | (130) ~ (all_53_5 = all_53_13)
% 217.18/36.51 | (131) ~ (all_53_5 = all_53_9)
% 217.18/36.51 | (132) ~ (all_53_5 = all_53_7)
% 217.18/36.51 | (133) ~ (all_53_5 = all_53_6)
% 217.18/36.51 | (134) ~ (all_53_4 = all_53_12)
% 217.18/36.51 | (135) ~ (all_53_4 = all_53_8)
% 217.18/36.51 | (136) ~ (all_53_4 = all_53_7)
% 217.18/36.51 | (137) ~ (all_53_4 = all_53_6)
% 217.18/36.51 | (138) ~ (all_53_4 = all_53_5)
% 217.18/36.51 | (139) ~ (all_53_3 = all_53_15)
% 217.18/36.51 | (140) ~ (all_53_3 = all_53_11)
% 217.18/36.51 | (141) ~ (all_53_3 = all_53_7)
% 217.18/36.51 | (142) ~ (all_53_2 = all_53_14)
% 217.18/36.51 | (143) ~ (all_53_2 = all_53_10)
% 217.18/36.51 | (144) ~ (all_53_2 = all_53_6)
% 217.18/36.51 | (145) ~ (all_53_2 = all_53_3)
% 217.18/36.51 | (146) ~ (all_53_1 = all_53_13)
% 217.18/36.51 | (147) ~ (all_53_1 = all_53_9)
% 217.18/36.51 | (148) ~ (all_53_1 = all_53_5)
% 217.18/36.51 | (149) ~ (all_53_1 = all_53_3)
% 217.18/36.51 | (150) ~ (all_53_1 = all_53_2)
% 217.18/36.51 | (151) ~ (all_53_0 = all_53_12)
% 217.18/36.51 | (152) ~ (all_53_0 = all_53_8)
% 217.18/36.51 | (153) ~ (all_53_0 = all_53_4)
% 217.18/36.51 | (154) ~ (all_53_0 = all_53_3)
% 217.18/36.51 | (155) ~ (all_53_0 = all_53_2)
% 217.18/36.51 | (156) ~ (all_53_0 = all_53_1)
% 217.18/36.51 | (157) op(e0, e0) = all_53_15
% 217.18/36.51 | (158) op(e0, e1) = all_53_11
% 217.18/36.51 | (159) op(e0, e2) = all_53_7
% 217.18/36.51 | (160) op(e0, e3) = all_53_3
% 217.18/36.51 | (161) op(e1, e0) = all_53_14
% 217.18/36.51 | (162) op(e1, e1) = all_53_10
% 217.18/36.51 | (163) op(e1, e2) = all_53_6
% 217.18/36.51 | (164) op(e1, e3) = all_53_2
% 217.18/36.51 | (165) op(e2, e0) = all_53_13
% 217.18/36.51 | (166) op(e2, e1) = all_53_9
% 217.18/36.51 | (167) op(e2, e2) = all_53_5
% 217.18/36.51 | (168) op(e2, e3) = all_53_1
% 217.18/36.51 | (169) op(e3, e0) = all_53_12
% 217.18/36.51 | (170) op(e3, e1) = all_53_8
% 217.18/36.51 | (171) op(e3, e2) = all_53_4
% 217.18/36.51 | (172) op(e3, e3) = all_53_0
% 217.18/36.51 |
% 217.18/36.51 | DELTA: instantiating (1) with fresh symbols all_55_0, all_55_1, all_55_2,
% 217.18/36.51 | all_55_3, all_55_4, all_55_5, all_55_6, all_55_7, all_55_8, all_55_9,
% 217.18/36.51 | all_55_10, all_55_11, all_55_12, all_55_13, all_55_14, all_55_15 gives:
% 217.18/36.51 | (173) op(e3, e3) = all_55_0 & op(e3, e2) = all_55_1 & op(e3, e1) = all_55_2
% 217.18/36.51 | & op(e3, e0) = all_55_3 & op(e2, e3) = all_55_4 & op(e2, e2) =
% 217.18/36.51 | all_55_5 & op(e2, e1) = all_55_6 & op(e2, e0) = all_55_7 & op(e1, e3)
% 217.18/36.51 | = all_55_8 & op(e1, e2) = all_55_9 & op(e1, e1) = all_55_10 & op(e1,
% 217.18/36.51 | e0) = all_55_11 & op(e0, e3) = all_55_12 & op(e0, e2) = all_55_13 &
% 217.18/36.51 | op(e0, e1) = all_55_14 & op(e0, e0) = all_55_15 & $i(all_55_0) &
% 217.18/36.51 | $i(all_55_1) & $i(all_55_2) & $i(all_55_3) & $i(all_55_4) &
% 217.18/36.51 | $i(all_55_5) & $i(all_55_6) & $i(all_55_7) & $i(all_55_8) &
% 217.18/36.51 | $i(all_55_9) & $i(all_55_10) & $i(all_55_11) & $i(all_55_12) &
% 217.18/36.51 | $i(all_55_13) & $i(all_55_14) & $i(all_55_15) & (all_55_0 = e3 |
% 217.18/36.51 | all_55_0 = e2 | all_55_0 = e1 | all_55_0 = e0) & (all_55_1 = e3 |
% 217.18/36.51 | all_55_1 = e2 | all_55_1 = e1 | all_55_1 = e0) & (all_55_2 = e3 |
% 217.18/36.52 | all_55_2 = e2 | all_55_2 = e1 | all_55_2 = e0) & (all_55_3 = e3 |
% 217.18/36.52 | all_55_3 = e2 | all_55_3 = e1 | all_55_3 = e0) & (all_55_4 = e3 |
% 217.18/36.52 | all_55_4 = e2 | all_55_4 = e1 | all_55_4 = e0) & (all_55_5 = e3 |
% 217.18/36.52 | all_55_5 = e2 | all_55_5 = e1 | all_55_5 = e0) & (all_55_6 = e3 |
% 217.18/36.52 | all_55_6 = e2 | all_55_6 = e1 | all_55_6 = e0) & (all_55_7 = e3 |
% 217.18/36.52 | all_55_7 = e2 | all_55_7 = e1 | all_55_7 = e0) & (all_55_8 = e3 |
% 217.18/36.52 | all_55_8 = e2 | all_55_8 = e1 | all_55_8 = e0) & (all_55_9 = e3 |
% 217.18/36.52 | all_55_9 = e2 | all_55_9 = e1 | all_55_9 = e0) & (all_55_10 = e3 |
% 217.18/36.52 | all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0) & (all_55_11 = e3
% 217.18/36.52 | | all_55_11 = e2 | all_55_11 = e1 | all_55_11 = e0) & (all_55_12 =
% 217.18/36.52 | e3 | all_55_12 = e2 | all_55_12 = e1 | all_55_12 = e0) & (all_55_13
% 217.18/36.52 | = e3 | all_55_13 = e2 | all_55_13 = e1 | all_55_13 = e0) &
% 217.18/36.52 | (all_55_14 = e3 | all_55_14 = e2 | all_55_14 = e1 | all_55_14 = e0) &
% 217.18/36.52 | (all_55_15 = e3 | all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0)
% 217.18/36.52 |
% 217.18/36.52 | ALPHA: (173) implies:
% 217.18/36.52 | (174) op(e0, e0) = all_55_15
% 217.18/36.52 | (175) op(e0, e1) = all_55_14
% 217.18/36.52 | (176) op(e0, e2) = all_55_13
% 217.18/36.52 | (177) op(e0, e3) = all_55_12
% 217.18/36.52 | (178) op(e1, e0) = all_55_11
% 217.18/36.52 | (179) op(e1, e1) = all_55_10
% 217.18/36.52 | (180) op(e1, e2) = all_55_9
% 217.18/36.52 | (181) op(e1, e3) = all_55_8
% 217.18/36.52 | (182) op(e2, e0) = all_55_7
% 217.18/36.52 | (183) op(e2, e1) = all_55_6
% 217.18/36.52 | (184) op(e2, e2) = all_55_5
% 217.18/36.52 | (185) op(e2, e3) = all_55_4
% 217.18/36.52 | (186) op(e3, e0) = all_55_3
% 217.18/36.52 | (187) op(e3, e1) = all_55_2
% 217.18/36.52 | (188) op(e3, e2) = all_55_1
% 217.18/36.52 | (189) op(e3, e3) = all_55_0
% 217.18/36.52 | (190) all_55_15 = e3 | all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 217.18/36.52 | (191) all_55_14 = e3 | all_55_14 = e2 | all_55_14 = e1 | all_55_14 = e0
% 217.18/36.52 | (192) all_55_13 = e3 | all_55_13 = e2 | all_55_13 = e1 | all_55_13 = e0
% 217.18/36.52 | (193) all_55_12 = e3 | all_55_12 = e2 | all_55_12 = e1 | all_55_12 = e0
% 217.18/36.52 | (194) all_55_11 = e3 | all_55_11 = e2 | all_55_11 = e1 | all_55_11 = e0
% 217.18/36.52 | (195) all_55_10 = e3 | all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 217.18/36.52 | (196) all_55_9 = e3 | all_55_9 = e2 | all_55_9 = e1 | all_55_9 = e0
% 217.18/36.52 | (197) all_55_8 = e3 | all_55_8 = e2 | all_55_8 = e1 | all_55_8 = e0
% 217.18/36.52 | (198) all_55_7 = e3 | all_55_7 = e2 | all_55_7 = e1 | all_55_7 = e0
% 217.18/36.52 | (199) all_55_6 = e3 | all_55_6 = e2 | all_55_6 = e1 | all_55_6 = e0
% 217.18/36.52 | (200) all_55_5 = e3 | all_55_5 = e2 | all_55_5 = e1 | all_55_5 = e0
% 217.18/36.52 | (201) all_55_4 = e3 | all_55_4 = e2 | all_55_4 = e1 | all_55_4 = e0
% 217.18/36.52 | (202) all_55_3 = e3 | all_55_3 = e2 | all_55_3 = e1 | all_55_3 = e0
% 217.18/36.52 | (203) all_55_2 = e3 | all_55_2 = e2 | all_55_2 = e1 | all_55_2 = e0
% 217.18/36.52 | (204) all_55_1 = e3 | all_55_1 = e2 | all_55_1 = e1 | all_55_1 = e0
% 217.18/36.52 | (205) all_55_0 = e3 | all_55_0 = e2 | all_55_0 = e1 | all_55_0 = e0
% 217.18/36.52 |
% 217.18/36.52 | DELTA: instantiating (2) with fresh symbols all_57_0, all_57_1, all_57_2,
% 217.18/36.52 | all_57_3, all_57_4, all_57_5, all_57_6, all_57_7, all_57_8, all_57_9,
% 217.18/36.52 | all_57_10, all_57_11, all_57_12, all_57_13, all_57_14, all_57_15 gives:
% 217.18/36.53 | (206) ((all_57_0 = e3 & op(e3, e3) = e3) | (all_57_1 = e3 & op(e3, e2) =
% 217.18/36.53 | e3) | (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_9 = e3 & op(e3,
% 217.18/36.53 | e0) = e3)) & ((all_57_0 = e3 & op(e3, e3) = e3) | (all_57_2 =
% 217.18/36.53 | e3 & op(e2, e3) = e3) | (all_57_6 = e3 & op(e1, e3) = e3) |
% 217.18/36.53 | (all_57_12 = e3 & op(e0, e3) = e3)) & ((all_57_0 = e2 & op(e3, e3)
% 217.18/36.53 | = e2) | (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_4 = e2 &
% 217.18/36.53 | op(e3, e1) = e2) | (all_57_9 = e2 & op(e3, e0) = e2)) &
% 217.18/36.53 | ((all_57_0 = e2 & op(e3, e3) = e2) | (all_57_2 = e2 & op(e2, e3) =
% 217.18/36.53 | e2) | (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_12 = e2 &
% 217.18/36.53 | op(e0, e3) = e2)) & ((all_57_0 = e1 & op(e3, e3) = e1) |
% 217.18/36.53 | (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_4 = e1 & op(e3, e1) =
% 217.18/36.53 | e1) | (all_57_9 = e1 & op(e3, e0) = e1)) & ((all_57_0 = e1 &
% 217.18/36.53 | op(e3, e3) = e1) | (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_6
% 217.18/36.53 | = e1 & op(e1, e3) = e1) | (all_57_12 = e1 & op(e0, e3) = e1)) &
% 217.18/36.53 | ((all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0 & op(e3, e2) =
% 217.18/36.53 | e0) | (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0 & op(e3,
% 217.18/36.53 | e0) = e0)) & ((all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 =
% 217.18/36.53 | e0 & op(e2, e3) = e0) | (all_57_6 = e0 & op(e1, e3) = e0) |
% 217.18/36.53 | (all_57_12 = e0 & op(e0, e3) = e0)) & ((all_57_1 = e3 & op(e3, e2)
% 217.18/36.53 | = e3) | (all_57_3 = e3 & op(e2, e2) = e3) | (all_57_7 = e3 &
% 217.18/36.53 | op(e1, e2) = e3) | (all_57_13 = e3 & op(e0, e2) = e3)) &
% 217.18/36.53 | ((all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2 & op(e2, e2) =
% 217.18/36.53 | e2) | (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 = e2 &
% 217.18/36.53 | op(e0, e2) = e2)) & ((all_57_1 = e1 & op(e3, e2) = e1) |
% 217.18/36.53 | (all_57_3 = e1 & op(e2, e2) = e1) | (all_57_7 = e1 & op(e1, e2) =
% 217.18/36.53 | e1) | (all_57_13 = e1 & op(e0, e2) = e1)) & ((all_57_1 = e0 &
% 217.18/36.53 | op(e3, e2) = e0) | (all_57_3 = e0 & op(e2, e2) = e0) | (all_57_7
% 217.18/36.53 | = e0 & op(e1, e2) = e0) | (all_57_13 = e0 & op(e0, e2) = e0)) &
% 217.18/36.53 | ((all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3 & op(e2, e2) =
% 217.18/36.53 | e3) | (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 = e3 &
% 217.18/36.53 | op(e2, e0) = e3)) & ((all_57_2 = e2 & op(e2, e3) = e2) |
% 217.18/36.53 | (all_57_3 = e2 & op(e2, e2) = e2) | (all_57_5 = e2 & op(e2, e1) =
% 217.18/36.53 | e2) | (all_57_10 = e2 & op(e2, e0) = e2)) & ((all_57_2 = e1 &
% 217.18/36.53 | op(e2, e3) = e1) | (all_57_3 = e1 & op(e2, e2) = e1) | (all_57_5
% 217.18/36.53 | = e1 & op(e2, e1) = e1) | (all_57_10 = e1 & op(e2, e0) = e1)) &
% 217.18/36.53 | ((all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0 & op(e2, e2) =
% 217.18/36.53 | e0) | (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 = e0 &
% 217.18/36.53 | op(e2, e0) = e0)) & ((all_57_4 = e3 & op(e3, e1) = e3) |
% 217.18/36.53 | (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_8 = e3 & op(e1, e1) =
% 217.18/36.53 | e3) | (all_57_14 = e3 & op(e0, e1) = e3)) & ((all_57_4 = e2 &
% 217.18/36.53 | op(e3, e1) = e2) | (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_8
% 217.18/36.53 | = e2 & op(e1, e1) = e2) | (all_57_14 = e2 & op(e0, e1) = e2)) &
% 217.18/36.53 | ((all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1 & op(e2, e1) =
% 217.18/36.53 | e1) | (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 = e1 &
% 217.18/36.53 | op(e0, e1) = e1)) & ((all_57_4 = e0 & op(e3, e1) = e0) |
% 217.18/36.53 | (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_8 = e0 & op(e1, e1) =
% 217.18/36.53 | e0) | (all_57_14 = e0 & op(e0, e1) = e0)) & ((all_57_6 = e3 &
% 217.18/36.53 | op(e1, e3) = e3) | (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_8
% 217.18/36.53 | = e3 & op(e1, e1) = e3) | (all_57_11 = e3 & op(e1, e0) = e3)) &
% 217.18/36.53 | ((all_57_6 = e2 & op(e1, e3) = e2) | (all_57_7 = e2 & op(e1, e2) =
% 217.18/36.53 | e2) | (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_11 = e2 &
% 217.18/36.53 | op(e1, e0) = e2)) & ((all_57_6 = e1 & op(e1, e3) = e1) |
% 217.18/36.53 | (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_8 = e1 & op(e1, e1) =
% 217.18/36.53 | e1) | (all_57_11 = e1 & op(e1, e0) = e1)) & ((all_57_6 = e0 &
% 217.18/36.53 | op(e1, e3) = e0) | (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_8
% 217.18/36.53 | = e0 & op(e1, e1) = e0) | (all_57_11 = e0 & op(e1, e0) = e0)) &
% 217.18/36.53 | ((all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 = e3 & op(e2, e0) =
% 217.18/36.53 | e3) | (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 = e3 &
% 217.18/36.53 | op(e0, e0) = e3)) & ((all_57_9 = e2 & op(e3, e0) = e2) |
% 217.18/36.53 | (all_57_10 = e2 & op(e2, e0) = e2) | (all_57_11 = e2 & op(e1, e0) =
% 217.18/36.53 | e2) | (all_57_15 = e2 & op(e0, e0) = e2)) & ((all_57_9 = e1 &
% 217.18/36.53 | op(e3, e0) = e1) | (all_57_10 = e1 & op(e2, e0) = e1) |
% 217.18/36.53 | (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 = e1 & op(e0, e0) =
% 217.18/36.53 | e1)) & ((all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 = e3 &
% 217.18/36.53 | op(e0, e2) = e3) | (all_57_14 = e3 & op(e0, e1) = e3) |
% 217.18/36.53 | (all_57_15 = e3 & op(e0, e0) = e3)) & ((all_57_12 = e2 & op(e0, e3)
% 217.18/36.53 | = e2) | (all_57_13 = e2 & op(e0, e2) = e2) | (all_57_14 = e2 &
% 217.18/36.53 | op(e0, e1) = e2) | (all_57_15 = e2 & op(e0, e0) = e2)) &
% 217.18/36.53 | ((all_57_12 = e1 & op(e0, e3) = e1) | (all_57_13 = e1 & op(e0, e2) =
% 217.18/36.53 | e1) | (all_57_14 = e1 & op(e0, e1) = e1) | (all_57_15 = e1 &
% 217.18/36.53 | op(e0, e0) = e1)) & ((all_57_15 = e0 & op(e0, e0) = e0) |
% 217.18/36.53 | (((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 = e0 & op(e2, e0)
% 217.18/36.53 | = e0) | (all_57_11 = e0 & op(e1, e0) = e0)) & ((all_57_12 =
% 217.18/36.53 | e0 & op(e0, e3) = e0) | (all_57_13 = e0 & op(e0, e2) = e0) |
% 217.18/36.53 | (all_57_14 = e0 & op(e0, e1) = e0))))
% 217.18/36.53 |
% 217.18/36.53 | ALPHA: (206) implies:
% 217.18/36.53 | (207) (all_57_15 = e0 & op(e0, e0) = e0) | (((all_57_9 = e0 & op(e3, e0) =
% 217.18/36.53 | e0) | (all_57_10 = e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 217.18/36.53 | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0, e3) = e0) |
% 217.18/36.53 | (all_57_13 = e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0, e1)
% 217.18/36.53 | = e0)))
% 217.18/36.53 | (208) (all_57_12 = e1 & op(e0, e3) = e1) | (all_57_13 = e1 & op(e0, e2) =
% 217.18/36.53 | e1) | (all_57_14 = e1 & op(e0, e1) = e1) | (all_57_15 = e1 & op(e0,
% 217.18/36.53 | e0) = e1)
% 217.18/36.53 | (209) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 = e2 & op(e0, e2) =
% 217.18/36.53 | e2) | (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 = e2 & op(e0,
% 217.18/36.53 | e0) = e2)
% 217.18/36.53 | (210) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 = e3 & op(e0, e2) =
% 217.18/36.53 | e3) | (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 = e3 & op(e0,
% 217.18/36.53 | e0) = e3)
% 217.18/36.53 | (211) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 = e1 & op(e2, e0) =
% 217.18/36.53 | e1) | (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 = e1 & op(e0,
% 217.18/36.53 | e0) = e1)
% 217.18/36.53 | (212) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 = e2 & op(e2, e0) =
% 217.18/36.53 | e2) | (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 = e2 & op(e0,
% 217.18/36.53 | e0) = e2)
% 217.18/36.53 | (213) (all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 = e3 & op(e2, e0) =
% 217.18/36.53 | e3) | (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 = e3 & op(e0,
% 217.18/36.53 | e0) = e3)
% 217.18/36.53 | (214) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0 & op(e1, e2) = e0)
% 217.18/36.53 | | (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 = e0 & op(e1, e0) =
% 217.18/36.53 | e0)
% 217.18/36.54 | (215) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1 & op(e1, e2) = e1)
% 217.18/36.54 | | (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 = e1 & op(e1, e0) =
% 217.18/36.54 | e1)
% 217.18/36.54 | (216) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_7 = e2 & op(e1, e2) = e2)
% 217.18/36.54 | | (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_11 = e2 & op(e1, e0) =
% 217.18/36.54 | e2)
% 217.18/36.54 | (217) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3 & op(e1, e2) = e3)
% 217.18/36.54 | | (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 = e3 & op(e1, e0) =
% 217.18/36.54 | e3)
% 217.18/36.54 | (218) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0 & op(e2, e1) = e0)
% 217.18/36.54 | | (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 = e0 & op(e0, e1) =
% 217.18/36.54 | e0)
% 217.18/36.54 | (219) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1 & op(e2, e1) = e1)
% 217.18/36.54 | | (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 = e1 & op(e0, e1) =
% 217.18/36.54 | e1)
% 217.18/36.54 | (220) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_5 = e2 & op(e2, e1) = e2)
% 217.18/36.54 | | (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_14 = e2 & op(e0, e1) =
% 217.18/36.54 | e2)
% 217.18/36.54 | (221) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3 & op(e2, e1) = e3)
% 217.18/36.54 | | (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 = e3 & op(e0, e1) =
% 217.18/36.54 | e3)
% 217.18/36.54 | (222) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0 & op(e2, e2) = e0)
% 217.18/36.54 | | (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 = e0 & op(e2, e0) =
% 217.18/36.54 | e0)
% 217.18/36.54 | (223) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1 & op(e2, e2) = e1)
% 217.18/36.54 | | (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 = e1 & op(e2, e0) =
% 217.18/36.54 | e1)
% 217.18/36.54 | (224) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2 & op(e2, e2) = e2)
% 217.18/36.54 | | (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 = e2 & op(e2, e0) =
% 217.18/36.54 | e2)
% 217.18/36.54 | (225) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3 & op(e2, e2) = e3)
% 217.18/36.54 | | (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 = e3 & op(e2, e0) =
% 217.18/36.54 | e3)
% 217.18/36.54 | (226) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0 & op(e2, e2) = e0)
% 217.18/36.54 | | (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 217.18/36.54 | e0)
% 217.18/36.54 | (227) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1 & op(e2, e2) = e1)
% 217.18/36.54 | | (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_13 = e1 & op(e0, e2) =
% 217.18/36.54 | e1)
% 217.18/36.54 | (228) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2 & op(e2, e2) = e2)
% 217.18/36.54 | | (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 = e2 & op(e0, e2) =
% 217.18/36.54 | e2)
% 217.18/36.54 | (229) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3 & op(e2, e2) = e3)
% 217.18/36.54 | | (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 = e3 & op(e0, e2) =
% 217.18/36.54 | e3)
% 217.18/36.54 | (230) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0 & op(e2, e3) = e0)
% 217.18/36.54 | | (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 = e0 & op(e0, e3) =
% 217.18/36.54 | e0)
% 217.18/36.54 | (231) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0 & op(e3, e2) = e0)
% 217.18/36.54 | | (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0 & op(e3, e0) =
% 217.18/36.54 | e0)
% 217.18/36.54 | (232) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1 & op(e2, e3) = e1)
% 217.18/36.54 | | (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 = e1 & op(e0, e3) =
% 217.18/36.54 | e1)
% 217.18/36.54 | (233) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1 & op(e3, e2) = e1)
% 217.18/36.54 | | (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1 & op(e3, e0) =
% 217.18/36.54 | e1)
% 217.18/36.54 | (234) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_2 = e2 & op(e2, e3) = e2)
% 217.18/36.54 | | (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_12 = e2 & op(e0, e3) =
% 217.18/36.54 | e2)
% 217.18/36.54 | (235) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2 & op(e3, e2) = e2)
% 217.18/36.54 | | (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2 & op(e3, e0) =
% 217.18/36.54 | e2)
% 217.18/36.54 | (236) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_2 = e3 & op(e2, e3) = e3)
% 217.18/36.54 | | (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_12 = e3 & op(e0, e3) =
% 217.18/36.54 | e3)
% 217.18/36.54 | (237) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_1 = e3 & op(e3, e2) = e3)
% 217.18/36.54 | | (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_9 = e3 & op(e3, e0) =
% 217.18/36.54 | e3)
% 217.18/36.54 |
% 217.18/36.55 | GROUND_INST: instantiating (function-axioms) with all_12_2, all_30_2, e0, e0,
% 217.18/36.55 | simplifying with (48), (75) gives:
% 217.18/36.55 | (238) all_30_2 = all_12_2
% 217.18/36.55 |
% 217.18/36.55 | GROUND_INST: instantiating (function-axioms) with all_30_2, all_32_2, e0, e0,
% 217.18/36.55 | simplifying with (75), (78) gives:
% 217.18/36.55 | (239) all_32_2 = all_30_2
% 217.18/36.55 |
% 217.18/36.55 | GROUND_INST: instantiating (function-axioms) with all_22_2, all_32_2, e0, e0,
% 217.18/36.55 | simplifying with (63), (78) gives:
% 217.18/36.55 | (240) all_32_2 = all_22_2
% 217.18/36.55 |
% 217.18/36.55 | GROUND_INST: instantiating (function-axioms) with all_40_2, all_53_15, e0, e0,
% 217.18/36.55 | simplifying with (90), (157) gives:
% 217.18/36.55 | (241) all_53_15 = all_40_2
% 217.18/36.55 |
% 217.80/36.63 | GROUND_INST: instantiating (function-axioms) with all_32_2, all_53_15, e0, e0,
% 217.80/36.63 | simplifying with (78), (157) gives:
% 217.80/36.63 | (242) all_53_15 = all_32_2
% 217.80/36.63 |
% 217.80/36.63 | GROUND_INST: instantiating (function-axioms) with all_53_15, all_55_15, e0,
% 217.80/36.63 | e0, simplifying with (157), (174) gives:
% 217.80/36.63 | (243) all_55_15 = all_53_15
% 217.80/36.63 |
% 217.80/36.63 | GROUND_INST: instantiating (function-axioms) with all_4_2, all_55_15, e0, e0,
% 217.80/36.63 | simplifying with (36), (174) gives:
% 217.80/36.63 | (244) all_55_15 = all_4_2
% 217.80/36.63 |
% 217.80/36.63 | GROUND_INST: instantiating (function-axioms) with all_53_11, all_55_14, e1,
% 217.80/36.63 | e0, simplifying with (158), (175) gives:
% 217.80/36.63 | (245) all_55_14 = all_53_11
% 217.80/36.63 |
% 217.80/36.63 | GROUND_INST: instantiating (function-axioms) with all_53_7, all_55_13, e2, e0,
% 217.80/36.63 | simplifying with (159), (176) gives:
% 217.80/36.63 | (246) all_55_13 = all_53_7
% 217.80/36.63 |
% 217.80/36.63 | GROUND_INST: instantiating (function-axioms) with all_53_3, all_55_12, e3, e0,
% 217.80/36.63 | simplifying with (160), (177) gives:
% 217.80/36.63 | (247) all_55_12 = all_53_3
% 217.80/36.63 |
% 217.80/36.63 | GROUND_INST: instantiating (function-axioms) with all_53_14, all_55_11, e0,
% 217.80/36.63 | e1, simplifying with (161), (178) gives:
% 217.80/36.63 | (248) all_55_11 = all_53_14
% 217.80/36.63 |
% 217.80/36.64 | GROUND_INST: instantiating (function-axioms) with all_6_2, all_38_2, e1, e1,
% 217.80/36.64 | simplifying with (39), (87) gives:
% 217.80/36.64 | (249) all_38_2 = all_6_2
% 217.80/36.64 |
% 217.80/36.64 | GROUND_INST: instantiating (function-axioms) with all_46_2, all_53_10, e1, e1,
% 217.80/36.64 | simplifying with (99), (162) gives:
% 217.80/36.64 | (250) all_53_10 = all_46_2
% 217.80/36.64 |
% 217.80/36.64 | GROUND_INST: instantiating (function-axioms) with all_38_2, all_53_10, e1, e1,
% 217.80/36.64 | simplifying with (87), (162) gives:
% 217.80/36.64 | (251) all_53_10 = all_38_2
% 217.80/36.64 |
% 217.80/36.64 | GROUND_INST: instantiating (function-axioms) with all_34_2, all_53_10, e1, e1,
% 217.80/36.64 | simplifying with (81), (162) gives:
% 217.80/36.64 | (252) all_53_10 = all_34_2
% 217.80/36.64 |
% 217.80/36.64 | GROUND_INST: instantiating (function-axioms) with all_53_10, all_55_10, e1,
% 217.80/36.64 | e1, simplifying with (162), (179) gives:
% 217.80/36.64 | (253) all_55_10 = all_53_10
% 217.80/36.64 |
% 217.80/36.64 | GROUND_INST: instantiating (function-axioms) with all_42_2, all_55_10, e1, e1,
% 217.80/36.64 | simplifying with (93), (179) gives:
% 217.80/36.64 | (254) all_55_10 = all_42_2
% 217.80/36.64 |
% 217.80/36.64 | GROUND_INST: instantiating (function-axioms) with all_24_2, all_55_10, e1, e1,
% 217.80/36.64 | simplifying with (66), (179) gives:
% 217.80/36.64 | (255) all_55_10 = all_24_2
% 217.80/36.64 |
% 217.80/36.64 | GROUND_INST: instantiating (function-axioms) with all_53_6, all_55_9, e2, e1,
% 217.80/36.64 | simplifying with (163), (180) gives:
% 217.80/36.64 | (256) all_55_9 = all_53_6
% 217.80/36.64 |
% 217.80/36.64 | GROUND_INST: instantiating (function-axioms) with all_53_2, all_55_8, e3, e1,
% 217.80/36.64 | simplifying with (164), (181) gives:
% 217.80/36.64 | (257) all_55_8 = all_53_2
% 217.80/36.64 |
% 217.80/36.64 | GROUND_INST: instantiating (function-axioms) with all_53_13, all_55_7, e0, e2,
% 217.80/36.64 | simplifying with (165), (182) gives:
% 217.80/36.64 | (258) all_55_7 = all_53_13
% 217.80/36.64 |
% 217.80/36.64 | GROUND_INST: instantiating (function-axioms) with all_53_9, all_55_6, e1, e2,
% 217.80/36.64 | simplifying with (166), (183) gives:
% 217.80/36.64 | (259) all_55_6 = all_53_9
% 217.80/36.64 |
% 217.80/36.64 | GROUND_INST: instantiating (function-axioms) with all_14_2, all_16_2, e2, e2,
% 217.80/36.64 | simplifying with (51), (54) gives:
% 217.80/36.64 | (260) all_16_2 = all_14_2
% 217.80/36.64 |
% 217.80/36.64 | GROUND_INST: instantiating (function-axioms) with all_16_2, all_26_2, e2, e2,
% 217.80/36.64 | simplifying with (54), (69) gives:
% 217.80/36.64 | (261) all_26_2 = all_16_2
% 217.80/36.64 |
% 217.80/36.64 | GROUND_INST: instantiating (function-axioms) with all_26_2, all_44_2, e2, e2,
% 217.80/36.64 | simplifying with (69), (96) gives:
% 217.80/36.64 | (262) all_44_2 = all_26_2
% 217.80/36.64 |
% 217.80/36.64 | GROUND_INST: instantiating (function-axioms) with all_50_2, all_53_5, e2, e2,
% 217.80/36.64 | simplifying with (105), (167) gives:
% 217.80/36.64 | (263) all_53_5 = all_50_2
% 217.80/36.64 |
% 217.80/36.64 | GROUND_INST: instantiating (function-axioms) with all_44_2, all_53_5, e2, e2,
% 217.80/36.64 | simplifying with (96), (167) gives:
% 217.80/36.64 | (264) all_53_5 = all_44_2
% 217.80/36.64 |
% 217.80/36.64 | GROUND_INST: instantiating (function-axioms) with all_53_5, all_55_5, e2, e2,
% 217.80/36.64 | simplifying with (167), (184) gives:
% 217.80/36.64 | (265) all_55_5 = all_53_5
% 217.80/36.64 |
% 217.80/36.64 | GROUND_INST: instantiating (function-axioms) with all_8_2, all_55_5, e2, e2,
% 217.80/36.64 | simplifying with (42), (184) gives:
% 217.80/36.64 | (266) all_55_5 = all_8_2
% 217.80/36.64 |
% 217.80/36.64 | GROUND_INST: instantiating (function-axioms) with all_53_1, all_55_4, e3, e2,
% 217.80/36.64 | simplifying with (168), (185) gives:
% 217.80/36.64 | (267) all_55_4 = all_53_1
% 217.80/36.64 |
% 217.80/36.64 | GROUND_INST: instantiating (function-axioms) with all_53_12, all_55_3, e0, e3,
% 217.80/36.64 | simplifying with (169), (186) gives:
% 217.80/36.64 | (268) all_55_3 = all_53_12
% 217.80/36.64 |
% 217.80/36.64 | GROUND_INST: instantiating (function-axioms) with all_53_8, all_55_2, e1, e3,
% 217.80/36.64 | simplifying with (170), (187) gives:
% 217.80/36.64 | (269) all_55_2 = all_53_8
% 217.80/36.64 |
% 217.80/36.64 | GROUND_INST: instantiating (function-axioms) with all_53_4, all_55_1, e2, e3,
% 217.80/36.64 | simplifying with (171), (188) gives:
% 217.80/36.64 | (270) all_55_1 = all_53_4
% 217.80/36.64 |
% 217.80/36.64 | GROUND_INST: instantiating (function-axioms) with all_28_2, all_36_2, e3, e3,
% 217.80/36.64 | simplifying with (72), (84) gives:
% 217.80/36.64 | (271) all_36_2 = all_28_2
% 217.80/36.64 |
% 217.80/36.64 | GROUND_INST: instantiating (function-axioms) with all_20_2, all_36_2, e3, e3,
% 217.80/36.64 | simplifying with (60), (84) gives:
% 217.80/36.64 | (272) all_36_2 = all_20_2
% 217.80/36.64 |
% 217.80/36.64 | GROUND_INST: instantiating (function-axioms) with all_20_2, all_48_2, e3, e3,
% 217.80/36.64 | simplifying with (60), (102) gives:
% 217.80/36.64 | (273) all_48_2 = all_20_2
% 217.80/36.64 |
% 217.80/36.64 | GROUND_INST: instantiating (function-axioms) with all_36_2, all_53_0, e3, e3,
% 217.80/36.64 | simplifying with (84), (172) gives:
% 217.80/36.64 | (274) all_53_0 = all_36_2
% 217.80/36.64 |
% 217.80/36.64 | GROUND_INST: instantiating (function-axioms) with all_18_2, all_53_0, e3, e3,
% 217.80/36.64 | simplifying with (57), (172) gives:
% 217.80/36.64 | (275) all_53_0 = all_18_2
% 217.80/36.64 |
% 217.80/36.64 | GROUND_INST: instantiating (function-axioms) with all_48_2, all_55_0, e3, e3,
% 217.80/36.64 | simplifying with (102), (189) gives:
% 217.80/36.64 | (276) all_55_0 = all_48_2
% 217.80/36.64 |
% 217.80/36.64 | GROUND_INST: instantiating (function-axioms) with all_10_2, all_55_0, e3, e3,
% 217.80/36.64 | simplifying with (45), (189) gives:
% 217.80/36.64 | (277) all_55_0 = all_10_2
% 217.80/36.64 |
% 217.80/36.64 | COMBINE_EQS: (276), (277) imply:
% 217.80/36.64 | (278) all_48_2 = all_10_2
% 217.80/36.64 |
% 217.80/36.64 | SIMP: (278) implies:
% 217.80/36.64 | (279) all_48_2 = all_10_2
% 217.80/36.64 |
% 217.80/36.64 | COMBINE_EQS: (265), (266) imply:
% 217.80/36.64 | (280) all_53_5 = all_8_2
% 217.80/36.64 |
% 217.80/36.64 | SIMP: (280) implies:
% 217.80/36.64 | (281) all_53_5 = all_8_2
% 217.80/36.64 |
% 217.80/36.64 | COMBINE_EQS: (254), (255) imply:
% 217.80/36.64 | (282) all_42_2 = all_24_2
% 217.80/36.64 |
% 217.80/36.64 | COMBINE_EQS: (253), (254) imply:
% 217.80/36.64 | (283) all_53_10 = all_42_2
% 217.80/36.64 |
% 217.80/36.64 | SIMP: (283) implies:
% 217.80/36.64 | (284) all_53_10 = all_42_2
% 217.80/36.64 |
% 217.80/36.64 | COMBINE_EQS: (243), (244) imply:
% 217.80/36.64 | (285) all_53_15 = all_4_2
% 217.80/36.64 |
% 217.80/36.64 | SIMP: (285) implies:
% 217.80/36.64 | (286) all_53_15 = all_4_2
% 217.80/36.64 |
% 217.80/36.64 | COMBINE_EQS: (274), (275) imply:
% 217.80/36.64 | (287) all_36_2 = all_18_2
% 217.80/36.64 |
% 217.80/36.64 | SIMP: (287) implies:
% 217.80/36.64 | (288) all_36_2 = all_18_2
% 217.80/36.64 |
% 217.80/36.64 | COMBINE_EQS: (263), (264) imply:
% 217.80/36.64 | (289) all_50_2 = all_44_2
% 217.80/36.64 |
% 217.80/36.64 | COMBINE_EQS: (263), (281) imply:
% 217.80/36.64 | (290) all_50_2 = all_8_2
% 217.80/36.64 |
% 217.80/36.64 | COMBINE_EQS: (250), (251) imply:
% 217.80/36.64 | (291) all_46_2 = all_38_2
% 217.80/36.64 |
% 217.80/36.64 | COMBINE_EQS: (250), (252) imply:
% 217.80/36.64 | (292) all_46_2 = all_34_2
% 217.80/36.64 |
% 217.80/36.64 | COMBINE_EQS: (250), (284) imply:
% 217.80/36.64 | (293) all_46_2 = all_42_2
% 217.80/36.65 |
% 217.80/36.65 | COMBINE_EQS: (241), (242) imply:
% 217.80/36.65 | (294) all_40_2 = all_32_2
% 217.80/36.65 |
% 217.80/36.65 | COMBINE_EQS: (241), (286) imply:
% 217.80/36.65 | (295) all_40_2 = all_4_2
% 217.80/36.65 |
% 217.80/36.65 | COMBINE_EQS: (289), (290) imply:
% 217.80/36.65 | (296) all_44_2 = all_8_2
% 217.80/36.65 |
% 217.80/36.65 | SIMP: (296) implies:
% 217.80/36.65 | (297) all_44_2 = all_8_2
% 217.80/36.65 |
% 217.80/36.65 | COMBINE_EQS: (273), (279) imply:
% 217.80/36.65 | (298) all_20_2 = all_10_2
% 217.80/36.65 |
% 217.80/36.65 | SIMP: (298) implies:
% 217.80/36.65 | (299) all_20_2 = all_10_2
% 217.80/36.65 |
% 217.80/36.65 | COMBINE_EQS: (292), (293) imply:
% 217.80/36.65 | (300) all_42_2 = all_34_2
% 217.80/36.65 |
% 217.80/36.65 | SIMP: (300) implies:
% 217.80/36.65 | (301) all_42_2 = all_34_2
% 217.80/36.65 |
% 217.80/36.65 | COMBINE_EQS: (291), (292) imply:
% 217.80/36.65 | (302) all_38_2 = all_34_2
% 217.80/36.65 |
% 217.80/36.65 | SIMP: (302) implies:
% 217.80/36.65 | (303) all_38_2 = all_34_2
% 217.80/36.65 |
% 217.80/36.65 | COMBINE_EQS: (262), (297) imply:
% 217.80/36.65 | (304) all_26_2 = all_8_2
% 217.80/36.65 |
% 217.80/36.65 | SIMP: (304) implies:
% 217.80/36.65 | (305) all_26_2 = all_8_2
% 217.80/36.65 |
% 217.80/36.65 | COMBINE_EQS: (282), (301) imply:
% 217.80/36.65 | (306) all_34_2 = all_24_2
% 217.80/36.65 |
% 217.80/36.65 | SIMP: (306) implies:
% 217.80/36.65 | (307) all_34_2 = all_24_2
% 217.80/36.65 |
% 217.80/36.65 | COMBINE_EQS: (294), (295) imply:
% 217.80/36.65 | (308) all_32_2 = all_4_2
% 217.80/36.65 |
% 217.80/36.65 | SIMP: (308) implies:
% 217.80/36.65 | (309) all_32_2 = all_4_2
% 217.80/36.65 |
% 217.80/36.65 | COMBINE_EQS: (249), (303) imply:
% 217.80/36.65 | (310) all_34_2 = all_6_2
% 217.80/36.65 |
% 217.80/36.65 | SIMP: (310) implies:
% 217.80/36.65 | (311) all_34_2 = all_6_2
% 217.80/36.65 |
% 217.80/36.65 | COMBINE_EQS: (271), (272) imply:
% 217.80/36.65 | (312) all_28_2 = all_20_2
% 217.80/36.65 |
% 217.80/36.65 | COMBINE_EQS: (271), (288) imply:
% 217.80/36.65 | (313) all_28_2 = all_18_2
% 217.80/36.65 |
% 217.80/36.65 | COMBINE_EQS: (307), (311) imply:
% 217.80/36.65 | (314) all_24_2 = all_6_2
% 217.80/36.65 |
% 217.80/36.65 | SIMP: (314) implies:
% 217.80/36.65 | (315) all_24_2 = all_6_2
% 217.80/36.65 |
% 217.80/36.65 | COMBINE_EQS: (239), (240) imply:
% 217.80/36.65 | (316) all_30_2 = all_22_2
% 217.80/36.65 |
% 217.80/36.65 | SIMP: (316) implies:
% 217.80/36.65 | (317) all_30_2 = all_22_2
% 217.80/36.65 |
% 217.80/36.65 | COMBINE_EQS: (240), (309) imply:
% 217.80/36.65 | (318) all_22_2 = all_4_2
% 217.80/36.65 |
% 217.80/36.65 | COMBINE_EQS: (238), (317) imply:
% 217.80/36.65 | (319) all_22_2 = all_12_2
% 217.80/36.65 |
% 217.80/36.65 | SIMP: (319) implies:
% 217.80/36.65 | (320) all_22_2 = all_12_2
% 217.80/36.65 |
% 217.80/36.65 | COMBINE_EQS: (312), (313) imply:
% 217.80/36.65 | (321) all_20_2 = all_18_2
% 217.80/36.65 |
% 217.80/36.65 | SIMP: (321) implies:
% 217.80/36.65 | (322) all_20_2 = all_18_2
% 217.80/36.65 |
% 217.80/36.65 | COMBINE_EQS: (261), (305) imply:
% 217.80/36.65 | (323) all_16_2 = all_8_2
% 217.80/36.65 |
% 217.80/36.65 | SIMP: (323) implies:
% 217.80/36.65 | (324) all_16_2 = all_8_2
% 217.80/36.65 |
% 217.80/36.65 | COMBINE_EQS: (318), (320) imply:
% 217.80/36.65 | (325) all_12_2 = all_4_2
% 217.80/36.65 |
% 217.80/36.65 | COMBINE_EQS: (299), (322) imply:
% 217.80/36.65 | (326) all_18_2 = all_10_2
% 217.80/36.65 |
% 217.80/36.65 | SIMP: (326) implies:
% 217.80/36.65 | (327) all_18_2 = all_10_2
% 217.80/36.65 |
% 217.80/36.65 | COMBINE_EQS: (260), (324) imply:
% 217.80/36.65 | (328) all_14_2 = all_8_2
% 217.80/36.65 |
% 217.80/36.65 | COMBINE_EQS: (313), (327) imply:
% 217.80/36.65 | (329) all_28_2 = all_10_2
% 217.80/36.65 |
% 217.80/36.65 | COMBINE_EQS: (238), (325) imply:
% 217.80/36.65 | (330) all_30_2 = all_4_2
% 217.80/36.65 |
% 217.80/36.65 | COMBINE_EQS: (271), (329) imply:
% 217.80/36.65 | (331) all_36_2 = all_10_2
% 217.80/36.65 |
% 217.80/36.65 | COMBINE_EQS: (282), (315) imply:
% 217.80/36.65 | (332) all_42_2 = all_6_2
% 217.80/36.65 |
% 217.80/36.65 | COMBINE_EQS: (292), (311) imply:
% 217.80/36.65 | (333) all_46_2 = all_6_2
% 217.80/36.65 |
% 217.80/36.65 | COMBINE_EQS: (250), (333) imply:
% 217.80/36.65 | (334) all_53_10 = all_6_2
% 217.80/36.65 |
% 217.80/36.65 | COMBINE_EQS: (275), (327) imply:
% 217.80/36.65 | (335) all_53_0 = all_10_2
% 217.80/36.65 |
% 217.80/36.65 | COMBINE_EQS: (254), (332) imply:
% 217.80/36.65 | (336) all_55_10 = all_6_2
% 217.80/36.65 |
% 217.80/36.65 | REDUCE: (156), (335) imply:
% 217.80/36.65 | (337) ~ (all_53_1 = all_10_2)
% 217.80/36.65 |
% 217.80/36.65 | SIMP: (337) implies:
% 217.80/36.65 | (338) ~ (all_53_1 = all_10_2)
% 217.80/36.65 |
% 217.80/36.65 | REDUCE: (155), (335) imply:
% 217.80/36.65 | (339) ~ (all_53_2 = all_10_2)
% 217.80/36.65 |
% 217.80/36.65 | SIMP: (339) implies:
% 217.80/36.65 | (340) ~ (all_53_2 = all_10_2)
% 217.80/36.65 |
% 217.80/36.65 | REDUCE: (154), (335) imply:
% 217.80/36.65 | (341) ~ (all_53_3 = all_10_2)
% 217.80/36.65 |
% 217.80/36.65 | SIMP: (341) implies:
% 217.80/36.65 | (342) ~ (all_53_3 = all_10_2)
% 217.80/36.65 |
% 217.80/36.65 | REDUCE: (153), (335) imply:
% 217.80/36.65 | (343) ~ (all_53_4 = all_10_2)
% 217.80/36.65 |
% 217.80/36.65 | SIMP: (343) implies:
% 217.80/36.65 | (344) ~ (all_53_4 = all_10_2)
% 217.80/36.65 |
% 217.80/36.65 | REDUCE: (152), (335) imply:
% 217.80/36.65 | (345) ~ (all_53_8 = all_10_2)
% 217.80/36.65 |
% 217.80/36.65 | SIMP: (345) implies:
% 217.80/36.65 | (346) ~ (all_53_8 = all_10_2)
% 217.80/36.65 |
% 217.80/36.65 | REDUCE: (151), (335) imply:
% 217.80/36.65 | (347) ~ (all_53_12 = all_10_2)
% 217.80/36.65 |
% 217.80/36.65 | SIMP: (347) implies:
% 217.80/36.65 | (348) ~ (all_53_12 = all_10_2)
% 217.80/36.65 |
% 217.80/36.65 | REDUCE: (148), (281) imply:
% 217.80/36.65 | (349) ~ (all_53_1 = all_8_2)
% 217.80/36.65 |
% 217.80/36.65 | REDUCE: (143), (334) imply:
% 217.80/36.65 | (350) ~ (all_53_2 = all_6_2)
% 217.80/36.65 |
% 217.80/36.65 | REDUCE: (139), (286) imply:
% 217.80/36.65 | (351) ~ (all_53_3 = all_4_2)
% 217.80/36.65 |
% 217.80/36.65 | REDUCE: (138), (281) imply:
% 217.80/36.65 | (352) ~ (all_53_4 = all_8_2)
% 217.80/36.65 |
% 217.80/36.65 | REDUCE: (133), (281) imply:
% 217.80/36.65 | (353) ~ (all_53_6 = all_8_2)
% 217.80/36.65 |
% 217.80/36.65 | SIMP: (353) implies:
% 217.80/36.65 | (354) ~ (all_53_6 = all_8_2)
% 217.80/36.65 |
% 217.80/36.65 | REDUCE: (132), (281) imply:
% 217.80/36.65 | (355) ~ (all_53_7 = all_8_2)
% 217.80/36.65 |
% 217.80/36.65 | SIMP: (355) implies:
% 217.80/36.65 | (356) ~ (all_53_7 = all_8_2)
% 217.80/36.65 |
% 217.80/36.65 | REDUCE: (131), (281) imply:
% 217.80/36.65 | (357) ~ (all_53_9 = all_8_2)
% 217.80/36.65 |
% 217.80/36.65 | SIMP: (357) implies:
% 217.80/36.65 | (358) ~ (all_53_9 = all_8_2)
% 217.80/36.65 |
% 217.80/36.65 | REDUCE: (130), (281) imply:
% 217.80/36.65 | (359) ~ (all_53_13 = all_8_2)
% 217.80/36.65 |
% 217.80/36.65 | SIMP: (359) implies:
% 217.80/36.66 | (360) ~ (all_53_13 = all_8_2)
% 217.80/36.66 |
% 217.80/36.66 | REDUCE: (128), (334) imply:
% 217.80/36.66 | (361) ~ (all_53_6 = all_6_2)
% 217.80/36.66 |
% 217.80/36.66 | REDUCE: (125), (286) imply:
% 217.80/36.66 | (362) ~ (all_53_7 = all_4_2)
% 217.80/36.66 |
% 217.80/36.66 | REDUCE: (123), (334) imply:
% 217.80/36.66 | (363) ~ (all_53_8 = all_6_2)
% 217.80/36.66 |
% 217.80/36.66 | REDUCE: (120), (334) imply:
% 217.80/36.66 | (364) ~ (all_53_9 = all_6_2)
% 217.80/36.66 |
% 217.80/36.66 | REDUCE: (117), (334) imply:
% 217.80/36.66 | (365) ~ (all_53_11 = all_6_2)
% 217.80/36.66 |
% 217.80/36.66 | SIMP: (365) implies:
% 217.80/36.66 | (366) ~ (all_53_11 = all_6_2)
% 217.80/36.66 |
% 217.80/36.66 | REDUCE: (116), (334) imply:
% 217.80/36.66 | (367) ~ (all_53_14 = all_6_2)
% 217.80/36.66 |
% 217.80/36.66 | SIMP: (367) implies:
% 217.80/36.66 | (368) ~ (all_53_14 = all_6_2)
% 217.80/36.66 |
% 217.80/36.66 | REDUCE: (115), (286) imply:
% 217.80/36.66 | (369) ~ (all_53_11 = all_4_2)
% 217.80/36.66 |
% 217.80/36.66 | REDUCE: (112), (286) imply:
% 217.80/36.66 | (370) ~ (all_53_12 = all_4_2)
% 217.80/36.66 |
% 217.80/36.66 | REDUCE: (110), (286) imply:
% 217.80/36.66 | (371) ~ (all_53_13 = all_4_2)
% 217.80/36.66 |
% 217.80/36.66 | REDUCE: (109), (286) imply:
% 217.80/36.66 | (372) ~ (all_53_14 = all_4_2)
% 217.80/36.66 |
% 217.80/36.66 | BETA: splitting (37) gives:
% 217.80/36.66 |
% 217.80/36.66 | Case 1:
% 217.80/36.66 | |
% 217.80/36.66 | | (373) ~ (all_4_2 = e2)
% 217.80/36.66 | |
% 217.80/36.66 | | BETA: splitting (40) gives:
% 217.80/36.66 | |
% 217.80/36.66 | | Case 1:
% 217.80/36.66 | | |
% 217.80/36.66 | | | (374) ~ (all_6_2 = e3)
% 217.80/36.66 | | |
% 217.80/36.66 | | | BETA: splitting (43) gives:
% 217.80/36.66 | | |
% 217.80/36.66 | | | Case 1:
% 217.80/36.66 | | | |
% 217.80/36.66 | | | | (375) ~ (all_8_2 = e3)
% 217.80/36.66 | | | |
% 217.80/36.66 | | | | BETA: splitting (46) gives:
% 217.80/36.66 | | | |
% 217.80/36.66 | | | | Case 1:
% 217.80/36.66 | | | | |
% 217.80/36.66 | | | | | (376) ~ (all_10_2 = e1)
% 217.80/36.66 | | | | |
% 217.80/36.66 | | | | | BETA: splitting (49) gives:
% 217.80/36.66 | | | | |
% 217.80/36.66 | | | | | Case 1:
% 217.80/36.66 | | | | | |
% 217.80/36.66 | | | | | | (377) ~ (all_12_2 = e3)
% 217.80/36.66 | | | | | |
% 217.80/36.66 | | | | | | REDUCE: (325), (377) imply:
% 217.80/36.66 | | | | | | (378) ~ (all_4_2 = e3)
% 217.80/36.66 | | | | | |
% 217.80/36.66 | | | | | | BETA: splitting (52) gives:
% 217.80/36.66 | | | | | |
% 217.80/36.66 | | | | | | Case 1:
% 217.80/36.66 | | | | | | |
% 217.80/36.66 | | | | | | | (379) ~ (all_14_2 = e0)
% 217.80/36.66 | | | | | | |
% 217.80/36.66 | | | | | | | REDUCE: (328), (379) imply:
% 217.80/36.66 | | | | | | | (380) ~ (all_8_2 = e0)
% 217.80/36.66 | | | | | | |
% 217.80/36.66 | | | | | | | BETA: splitting (55) gives:
% 217.80/36.66 | | | | | | |
% 217.80/36.66 | | | | | | | Case 1:
% 217.80/36.66 | | | | | | | |
% 217.80/36.66 | | | | | | | | (381) ~ (all_16_2 = e1)
% 217.80/36.66 | | | | | | | |
% 217.80/36.66 | | | | | | | | REDUCE: (324), (381) imply:
% 217.80/36.66 | | | | | | | | (382) ~ (all_8_2 = e1)
% 217.80/36.66 | | | | | | | |
% 217.80/36.66 | | | | | | | | BETA: splitting (200) gives:
% 217.80/36.66 | | | | | | | |
% 217.80/36.66 | | | | | | | | Case 1:
% 217.80/36.66 | | | | | | | | |
% 217.80/36.66 | | | | | | | | | (383) all_55_5 = e3
% 217.80/36.66 | | | | | | | | |
% 217.80/36.66 | | | | | | | | | COMBINE_EQS: (266), (383) imply:
% 217.80/36.66 | | | | | | | | | (384) all_8_2 = e3
% 217.80/36.66 | | | | | | | | |
% 217.80/36.66 | | | | | | | | | REDUCE: (375), (384) imply:
% 217.80/36.66 | | | | | | | | | (385) $false
% 217.80/36.66 | | | | | | | | |
% 217.80/36.66 | | | | | | | | | CLOSE: (385) is inconsistent.
% 217.80/36.66 | | | | | | | | |
% 217.80/36.66 | | | | | | | | Case 2:
% 217.80/36.66 | | | | | | | | |
% 217.80/36.66 | | | | | | | | | (386) ~ (all_55_5 = e3)
% 217.80/36.66 | | | | | | | | | (387) all_55_5 = e2 | all_55_5 = e1 | all_55_5 = e0
% 217.80/36.66 | | | | | | | | |
% 217.80/36.66 | | | | | | | | | BETA: splitting (387) gives:
% 217.80/36.66 | | | | | | | | |
% 217.80/36.66 | | | | | | | | | Case 1:
% 217.80/36.66 | | | | | | | | | |
% 217.80/36.66 | | | | | | | | | | (388) all_55_5 = e2
% 217.80/36.66 | | | | | | | | | |
% 217.80/36.66 | | | | | | | | | | COMBINE_EQS: (266), (388) imply:
% 217.80/36.66 | | | | | | | | | | (389) all_8_2 = e2
% 217.80/36.66 | | | | | | | | | |
% 217.80/36.66 | | | | | | | | | | REDUCE: (349), (389) imply:
% 217.80/36.66 | | | | | | | | | | (390) ~ (all_53_1 = e2)
% 217.80/36.66 | | | | | | | | | |
% 217.80/36.66 | | | | | | | | | | REDUCE: (352), (389) imply:
% 217.80/36.66 | | | | | | | | | | (391) ~ (all_53_4 = e2)
% 217.80/36.66 | | | | | | | | | |
% 217.80/36.66 | | | | | | | | | | REDUCE: (354), (389) imply:
% 217.80/36.66 | | | | | | | | | | (392) ~ (all_53_6 = e2)
% 217.80/36.66 | | | | | | | | | |
% 217.80/36.66 | | | | | | | | | | REDUCE: (356), (389) imply:
% 217.80/36.66 | | | | | | | | | | (393) ~ (all_53_7 = e2)
% 217.80/36.66 | | | | | | | | | |
% 217.80/36.66 | | | | | | | | | | REDUCE: (358), (389) imply:
% 217.80/36.66 | | | | | | | | | | (394) ~ (all_53_9 = e2)
% 217.80/36.66 | | | | | | | | | |
% 217.80/36.66 | | | | | | | | | | REDUCE: (360), (389) imply:
% 217.80/36.66 | | | | | | | | | | (395) ~ (all_53_13 = e2)
% 217.80/36.66 | | | | | | | | | |
% 217.80/36.66 | | | | | | | | | | REDUCE: (375), (389) imply:
% 217.80/36.66 | | | | | | | | | | (396) ~ (e3 = e2)
% 217.80/36.66 | | | | | | | | | |
% 217.80/36.66 | | | | | | | | | | BETA: splitting (224) gives:
% 217.80/36.66 | | | | | | | | | |
% 217.80/36.66 | | | | | | | | | | Case 1:
% 217.80/36.66 | | | | | | | | | | |
% 217.80/36.66 | | | | | | | | | | | (397) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 217.80/36.66 | | | | | | | | | | | & op(e2, e2) = e2)
% 217.80/36.66 | | | | | | | | | | |
% 217.80/36.66 | | | | | | | | | | | BETA: splitting (397) gives:
% 217.80/36.66 | | | | | | | | | | |
% 217.80/36.66 | | | | | | | | | | | Case 1:
% 217.80/36.66 | | | | | | | | | | | |
% 217.80/36.66 | | | | | | | | | | | | (398) all_57_2 = e2 & op(e2, e3) = e2
% 217.80/36.66 | | | | | | | | | | | |
% 217.80/36.66 | | | | | | | | | | | | REF_CLOSE: (168), (390), (398), (function-axioms) are
% 217.80/36.66 | | | | | | | | | | | | inconsistent by sub-proof #2504.
% 217.80/36.66 | | | | | | | | | | | |
% 217.80/36.66 | | | | | | | | | | | Case 2:
% 217.80/36.66 | | | | | | | | | | | |
% 217.80/36.66 | | | | | | | | | | | | (399) all_57_3 = e2 & op(e2, e2) = e2
% 217.80/36.66 | | | | | | | | | | | |
% 217.80/36.66 | | | | | | | | | | | | ALPHA: (399) implies:
% 217.80/36.66 | | | | | | | | | | | | (400) all_57_3 = e2
% 217.80/36.66 | | | | | | | | | | | | (401) op(e2, e2) = e2
% 217.80/36.66 | | | | | | | | | | | |
% 217.80/36.66 | | | | | | | | | | | | BETA: splitting (58) gives:
% 217.80/36.66 | | | | | | | | | | | |
% 217.80/36.66 | | | | | | | | | | | | Case 1:
% 217.80/36.66 | | | | | | | | | | | | |
% 217.80/36.66 | | | | | | | | | | | | | (402) ~ (all_18_2 = e0)
% 217.80/36.66 | | | | | | | | | | | | |
% 217.80/36.66 | | | | | | | | | | | | | REDUCE: (327), (402) imply:
% 217.80/36.66 | | | | | | | | | | | | | (403) ~ (all_10_2 = e0)
% 217.80/36.66 | | | | | | | | | | | | |
% 217.80/36.66 | | | | | | | | | | | | | BETA: splitting (61) gives:
% 217.80/36.66 | | | | | | | | | | | | |
% 217.80/36.66 | | | | | | | | | | | | | Case 1:
% 217.80/36.66 | | | | | | | | | | | | | |
% 217.80/36.66 | | | | | | | | | | | | | | (404) ~ (all_20_2 = e2)
% 217.80/36.66 | | | | | | | | | | | | | |
% 217.80/36.66 | | | | | | | | | | | | | | REDUCE: (299), (404) imply:
% 217.80/36.67 | | | | | | | | | | | | | | (405) ~ (all_10_2 = e2)
% 217.80/36.67 | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 217.80/36.67 | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | Case 1:
% 217.80/36.67 | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | (406) all_55_0 = e3
% 217.80/36.67 | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | COMBINE_EQS: (277), (406) imply:
% 217.80/36.67 | | | | | | | | | | | | | | | (407) all_10_2 = e3
% 217.80/36.67 | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | REDUCE: (338), (407) imply:
% 217.80/36.67 | | | | | | | | | | | | | | | (408) ~ (all_53_1 = e3)
% 217.80/36.67 | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | REDUCE: (340), (407) imply:
% 217.80/36.67 | | | | | | | | | | | | | | | (409) ~ (all_53_2 = e3)
% 217.80/36.67 | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | REDUCE: (342), (407) imply:
% 217.80/36.67 | | | | | | | | | | | | | | | (410) ~ (all_53_3 = e3)
% 217.80/36.67 | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | REDUCE: (344), (407) imply:
% 217.80/36.67 | | | | | | | | | | | | | | | (411) ~ (all_53_4 = e3)
% 217.80/36.67 | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | REDUCE: (346), (407) imply:
% 217.80/36.67 | | | | | | | | | | | | | | | (412) ~ (all_53_8 = e3)
% 217.80/36.67 | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | REDUCE: (348), (407) imply:
% 217.80/36.67 | | | | | | | | | | | | | | | (413) ~ (all_53_12 = e3)
% 217.80/36.67 | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | REDUCE: (45), (407) imply:
% 217.80/36.67 | | | | | | | | | | | | | | | (414) op(e3, e3) = e3
% 217.80/36.67 | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 217.80/36.67 | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | Case 1:
% 217.80/36.67 | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | (415) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_1 = e3
% 217.80/36.67 | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 217.80/36.67 | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | BETA: splitting (415) gives:
% 217.80/36.67 | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.67 | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | (416) all_57_0 = e3 & op(e3, e3) = e3
% 217.80/36.67 | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | ALPHA: (416) implies:
% 217.80/36.67 | | | | | | | | | | | | | | | | | (417) all_57_0 = e3
% 217.80/36.67 | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 217.80/36.67 | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.67 | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | (418) ~ (all_24_2 = e0)
% 217.80/36.67 | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | REDUCE: (315), (418) imply:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | (419) ~ (all_6_2 = e0)
% 217.80/36.67 | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 217.80/36.67 | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | (420) ~ (all_30_2 = e1)
% 217.80/36.67 | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | REDUCE: (330), (420) imply:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | (421) ~ (all_4_2 = e1)
% 217.80/36.67 | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | (422) all_55_15 = e3
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (378), (422) are inconsistent by sub-proof
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | #2503.
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | (423) ~ (all_55_15 = e3)
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | (424) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | BETA: splitting (424) gives:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | (425) all_55_15 = e2
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (425) are inconsistent by sub-proof
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | #2502.
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | (426) ~ (all_55_15 = e2)
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | (427) all_55_15 = e1 | all_55_15 = e0
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (427) gives:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | (428) all_55_15 = e1
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (421), (428) are inconsistent by sub-proof
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | #2501.
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | (429) all_55_15 = e0
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (429) imply:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | (430) all_4_2 = e0
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | SIMP: (430) implies:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | (431) all_4_2 = e0
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (431) imply:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | (432) ~ (all_53_7 = e0)
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (431) imply:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | (433) ~ (all_53_11 = e0)
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (431) imply:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | (434) ~ (all_53_12 = e0)
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (431) imply:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | (435) ~ (all_53_13 = e0)
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (431) imply:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | (436) ~ (all_53_14 = e0)
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (378), (431) imply:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | (437) ~ (e3 = e0)
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (431) imply:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | (438) ~ (e2 = e0)
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (421), (431) imply:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | (439) ~ (e1 = e0)
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | (440) all_57_15 = e0 & op(e0, e0) = e0
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (440) implies:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | (441) all_57_15 = e0
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | (442) op(e0, e0) = e0
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | (443) ~ (all_38_2 = e2)
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (249), (443) imply:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | (444) ~ (all_6_2 = e2)
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | (445) all_55_10 = e3
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (374), (445) are inconsistent by sub-proof
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | #2500.
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | (446) ~ (all_55_10 = e3)
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | (447) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (447) gives:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (448) all_55_10 = e2
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (444), (448) are inconsistent by sub-proof
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | #2499.
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (449) ~ (all_55_10 = e2)
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (450) all_55_10 = e1 | all_55_10 = e0
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (450) gives:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (451) all_55_10 = e1
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (451) imply:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (452) all_6_2 = e1
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (452) implies:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (453) all_6_2 = e1
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (453) imply:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (454) ~ (all_53_2 = e1)
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (453) imply:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (455) ~ (all_53_6 = e1)
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (453) imply:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (456) ~ (all_53_9 = e1)
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (453) imply:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (457) ~ (all_53_11 = e1)
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (453) imply:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (458) ~ (all_53_14 = e1)
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (374), (453) imply:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (459) ~ (e3 = e1)
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (444), (453) imply:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (460) ~ (e2 = e1)
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (453) imply:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (461) op(e1, e1) = e1
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (462) all_55_7 = e3
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (462) imply:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (463) all_53_13 = e3
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (463) implies:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (464) all_53_13 = e3
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (464) imply:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (465) ~ (all_53_9 = e3)
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (464) imply:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (466) ~ (all_53_14 = e3)
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (466) implies:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (467) ~ (all_53_14 = e3)
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (468) all_55_6 = e3
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (465), (468) are inconsistent by sub-proof
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2498.
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (469) ~ (all_55_6 = e3)
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (470) all_55_6 = e2 | all_55_6 = e1 | all_55_6 = e0
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (471) all_55_11 = e3
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (467), (471) are inconsistent by sub-proof
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2497.
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (472) ~ (all_55_11 = e3)
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (473) all_55_11 = e2 | all_55_11 = e1 | all_55_11 = e0
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (474) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (474) gives:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (475) all_57_2 = e1 & op(e2, e3) = e1
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (475) implies:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (476) all_57_2 = e1
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (473) gives:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (477) all_55_11 = e2
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (477) imply:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (478) all_53_14 = e2
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (478) implies:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (479) all_53_14 = e2
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (142), (479) imply:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (480) ~ (all_53_2 = e2)
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (479) imply:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (481) ~ (all_53_12 = e2)
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (482) all_55_8 = e3
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (409), (482) are inconsistent by sub-proof
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2496.
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (483) all_55_8 = e2 | all_55_8 = e1 | all_55_8 = e0
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (484) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (484) gives:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (485) all_57_4 = e3 & op(e3, e1) = e3
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (485) implies:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (486) all_57_4 = e3
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (235),
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (414), (486), (function-axioms) are inconsistent
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2474.
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (487) all_57_5 = e3 & op(e2, e1) = e3
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (487) implies:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (488) all_57_5 = e3
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (165), (222), (401), (435), (476),
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (488), (function-axioms) are inconsistent by
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2469.
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (489) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (489) gives:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (490) all_57_8 = e3 & op(e1, e1) = e3
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (490) implies:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (491) op(e1, e1) = e3
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (491), (function-axioms) are
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (492) all_57_14 = e3 & op(e0, e1) = e3
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (492) implies:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (493) all_57_14 = e3
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (494) op(e0, e1) = e3
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (495) all_55_3 = e3
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (495) imply:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (496) all_53_12 = e3
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (413), (496) imply:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (497) $false
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (497) is inconsistent.
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (498) ~ (all_55_3 = e3)
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (499) all_55_3 = e2 | all_55_3 = e1 | all_55_3 = e0
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (500) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (500) gives:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (501) all_57_6 = e3 & op(e1, e3) = e3
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (501) implies:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (502) all_57_6 = e3
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (230), (234), (414),
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (476), (502), (function-axioms) are inconsistent
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2459.
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (503) all_57_7 = e3 & op(e1, e2) = e3
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (503) implies:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (504) all_57_7 = e3
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (505) (all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 =
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (505) gives:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (506) all_57_9 = e3 & op(e3, e0) = e3
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (506) implies:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (507) op(e3, e0) = e3
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (413), (507), (function-axioms) are
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2458.
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (508) all_57_10 = e3 & op(e2, e0) = e3
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (508) implies:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (509) all_57_10 = e3
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (510) op(e2, e0) = e3
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (511) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (401), (476), (511), (function-axioms)
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2457.
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (512) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (512) gives:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (513) all_57_5 = e0 & op(e2, e1) = e0
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (513) implies:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (514) all_57_5 = e0
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (515) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (171), (391), (414), (515), (function-axioms)
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2455.
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (516) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (516) gives:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (517) all_57_4 = e2 & op(e3, e1) = e2
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (517) implies:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (518) all_57_4 = e2
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (519) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (169), (231),
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (237), (395), (413), (414), (434),
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (518), (519), (function-axioms) are inconsistent
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2431.
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (520) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (520) gives:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (521) all_57_11 = e2 & op(e1, e0) = e2
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (521) implies:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (522) all_57_11 = e2
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (523) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (523) gives:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (524) all_57_12 = e2 & op(e0, e3) = e2
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (524) implies:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (525) all_57_12 = e2
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (526) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (526) gives:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (527) all_57_1 = e0 & op(e3, e2) = e0
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (527) implies:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (528) all_57_1 = e0
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (529) op(e3, e2) = e0
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (530) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (414), (528), (530), (function-axioms)
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2445.
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (531) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (531) gives:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (532) all_57_4 = e1 & op(e3, e1) = e1
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (532) implies:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (533) all_57_4 = e1
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (220),
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (374), (419), (461), (533),
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2407.
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (534) all_57_9 = e1 & op(e3, e0) = e1
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (534) implies:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (535) all_57_9 = e1
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (483) gives:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (536) all_55_8 = e2
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (480), (536) are inconsistent by sub-proof
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2406.
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (537) all_55_8 = e1 | all_55_8 = e0
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (538) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (538) gives:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (539) all_57_0 = e0 & op(e3, e3) = e0
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (539) implies:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (540) op(e3, e3) = e0
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (169), (235), (237), (413),
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (528), (535), (540), (function-axioms) are
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2400.
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (541) all_57_2 = e0 & op(e2, e3) = e0
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (476), (541) are inconsistent by sub-proof
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2467.
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (542) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (542) gives:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (543) all_57_6 = e0 & op(e1, e3) = e0
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (543) implies:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (544) all_57_6 = e0
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (545) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (545) gives:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (546) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (546) implies:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (547) op(e3, e2) = all_52_3
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (548) op(all_52_3, all_52_3) = e2
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (442), (529), (547), (548), (function-axioms)
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2399.
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (549) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 217.80/36.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (549) implies:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (550) op(e2, e0) = all_52_15
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (551) op(all_52_15, all_52_15) = e0
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (470) gives:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (552) all_55_6 = e2
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (394), (552) are inconsistent by sub-proof
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2398.
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (553) ~ (all_55_6 = e2)
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (554) all_55_6 = e1 | all_55_6 = e0
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (554) gives:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (555) all_55_6 = e1
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (555) imply:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (556) all_53_9 = e1
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (456), (556) imply:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (557) $false
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (557) is inconsistent.
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (558) all_55_6 = e0
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (558) imply:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (559) all_53_9 = e0
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_15, e0, e2, simplifying with (510), (550)
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (560) all_52_15 = e3
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (551), (560) imply:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (561) op(e3, e3) = e0
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (234), (236), (476),
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (544), (561), (function-axioms) are inconsistent
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2390.
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (562) gives:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (563) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (563) implies:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (564) op(e1, e0) = all_52_23
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (565) op(all_52_23, all_52_23) = e0
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (216), (218),
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (230), (232), (374), (401),
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (414), (461), (493), (504), (518), (525), (564),
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (565), (function-axioms) are inconsistent by
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2368.
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (566) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (566) implies:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (567) op(e0, e1) = all_52_29
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (568) op(all_52_29, all_52_29) = e1
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (499) gives:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (569) all_55_3 = e2
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (569) imply:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (570) all_53_12 = e2
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (481), (570) imply:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (571) $false
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (571) is inconsistent.
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (572) all_55_3 = e1 | all_55_3 = e0
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (572) gives:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (573) all_55_3 = e1
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (573) imply:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (574) all_53_12 = e1
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29, e1, e0, simplifying with (494), (567)
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (575) all_52_29 = e3
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (575) imply:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (576) op(e3, e3) = e1
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (414), (576), (function-axioms) are
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (577) all_55_3 = e0
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (577) imply:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (578) all_53_12 = e0
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (434), (578) imply:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (579) $false
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (579) is inconsistent.
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (580) all_57_12 = e0 & op(e0, e3) = e0
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (580) implies:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (581) op(e0, e3) = e0
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (160), (257), (454), (537), (581),
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2365.
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (582) all_57_3 = e0 & op(e2, e2) = e0
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (582) implies:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (583) all_57_3 = e0
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (584) op(e2, e2) = e0
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (509), (514), (583), (584), (function-axioms) are
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2348.
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (585) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (585) gives:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (586) all_57_7 = e0 & op(e1, e2) = e0
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (586) implies:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (587) all_57_7 = e0
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (587) imply:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (588) e3 = e0
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (588) imply:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (589) all_57_14 = e0
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (523) gives:
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (161), (165),
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (217), (221), (222), (231), (232), (233),
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (374), (401), (414), (419), (435), (436),
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (522), (525), (589), (function-axioms) are
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2336.
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (590) all_57_13 = e2 & op(e0, e2) = e2
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (590) implies:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (591) op(e0, e2) = e2
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (393), (591), (function-axioms) are
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2335.
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (592) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (218),
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (373), (374), (518), (592),
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2333.
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (593) all_57_13 = e0 & op(e0, e2) = e0
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (593) implies:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (594) op(e0, e2) = e0
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (432), (594), (function-axioms) are
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2332.
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (595) all_57_13 = e2 & op(e0, e2) = e2
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (595) implies:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (596) op(e0, e2) = e2
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (393), (596), (function-axioms) are
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2335.
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (597) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (218),
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (373), (374), (518), (597),
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2333.
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (598) all_57_15 = e2 & op(e0, e0) = e2
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (598) implies:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (599) op(e0, e0) = e2
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (599), (function-axioms) are
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2334.
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (600) all_57_9 = e2 & op(e3, e0) = e2
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (600) implies:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (601) op(e3, e0) = e2
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (481), (601), (function-axioms) are
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2331.
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (602) all_57_10 = e0 & op(e2, e0) = e0
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (602) implies:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (603) op(e2, e0) = e0
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (435), (603), (function-axioms) are
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2470.
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (604) (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 =
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (161), (207), (208),
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (467), (493), (604), (function-axioms) are
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2311.
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (605) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (161), (374), (467), (605),
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2310.
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (606) all_55_11 = e1 | all_55_11 = e0
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (436), (458), (606) are inconsistent by
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2307.
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (607) all_57_3 = e1 & op(e2, e2) = e1
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (607) implies:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (608) op(e2, e2) = e1
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (401), (608), (function-axioms) are
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (609) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (609) gives:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (610) all_57_5 = e1 & op(e2, e1) = e1
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (456), (610), (function-axioms) are
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2305.
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (611) all_57_10 = e1 & op(e2, e0) = e1
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (611) implies:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (612) all_57_10 = e1
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (161), (169), (213), (413), (442),
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (467), (612), (function-axioms) are inconsistent
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2302.
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (613) ~ (all_55_7 = e3)
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (614) all_55_7 = e2 | all_55_7 = e1 | all_55_7 = e0
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (258), (613) imply:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (615) ~ (all_53_13 = e3)
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (616) (all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 =
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (413), (615), (616),
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2300.
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (617) (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 =
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (617) gives:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (618) all_57_11 = e3 & op(e1, e0) = e3
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (618) implies:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (619) all_57_11 = e3
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (620) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (401), (408), (620), (function-axioms)
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2297.
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (621) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (621) gives:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (622) all_57_5 = e3 & op(e2, e1) = e3
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (622) implies:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (623) all_57_5 = e3
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (624) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (624) gives:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (625) all_57_9 = e2 & op(e3, e0) = e2
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (625) implies:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (626) all_57_9 = e2
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (627) op(e3, e0) = e2
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (628) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (628) gives:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (629) all_57_4 = e0 & op(e3, e1) = e0
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (629) implies:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (630) all_57_4 = e0
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (631) op(e3, e1) = e0
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (632) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_5 = e2
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (632) gives:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (633) all_57_4 = e2 & op(e3, e1) = e2
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (633) implies:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (634) all_57_4 = e2
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (231), (233),
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (237), (413), (414), (434), (626), (634),
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2433.
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (635) all_57_5 = e2 & op(e2, e1) = e2
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (623), (635) are inconsistent by sub-proof
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2425.
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (636) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_14 =
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (636) gives:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (637) all_57_8 = e2 & op(e1, e1) = e2
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (637) implies:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (638) op(e1, e1) = e2
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (107),
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (111), (113), (114), (119), (126), (127), (129),
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (140), (141), (159),
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (161), (163), (165), (166), (169), (170),
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (171), (191), (192), (194), (196), (198), (199),
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (207), (208), (209), (210), (213), (214),
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (218), (219), (221), (222), (223), (224),
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (230), (231),
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (237), (245), (246),
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (248), (256), (258), (259), (270), (373), (374),
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (392), (393), (394), (400), (401), (411), (413),
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (414), (419), (432), (433), (434), (435), (436),
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (442), (626), (627), (638), (function-axioms) are
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2172.
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (639) all_57_14 = e2 & op(e0, e1) = e2
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (639) implies:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (640) all_57_14 = e2
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (614) gives:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (641) all_55_7 = e2
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (395), (641) are inconsistent by sub-proof
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2171.
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (642) all_55_7 = e1 | all_55_7 = e0
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (642) gives:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (643) all_55_7 = e1
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (643) imply:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (644) all_53_13 = e1
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (644) implies:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (645) all_53_13 = e1
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (645) imply:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (646) ~ (all_53_1 = e1)
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (645) imply:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (647) ~ (all_53_12 = e1)
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (645) imply:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (648) ~ (all_53_14 = e1)
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (645) imply:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (649) op(e2, e0) = e1
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (650) all_55_4 = e3
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (408), (650) are inconsistent by sub-proof
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2170.
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (651) all_55_4 = e2 | all_55_4 = e1 | all_55_4 = e0
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (652) all_55_3 = e3
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (413), (652) are inconsistent by sub-proof
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2169.
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (653) all_55_3 = e2 | all_55_3 = e1 | all_55_3 = e0
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (654) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (654) gives:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (655) all_57_0 = e1 & op(e3, e3) = e1
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (655) implies:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (656) op(e3, e3) = e1
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (414), (656), (function-axioms) are
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (657) all_57_1 = e1 & op(e3, e2) = e1
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (657) implies:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (658) all_57_1 = e1
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (653) gives:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (659) all_55_3 = e2
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (659) imply:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (660) all_53_12 = e2
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (660) implies:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (661) all_53_12 = e2
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (661) imply:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (662) ~ (all_53_14 = e2)
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (662) implies:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (663) ~ (all_53_14 = e2)
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (664) all_55_11 = e3
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (664) imply:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (665) all_53_14 = e3
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (665) implies:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (666) all_53_14 = e3
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (666) imply:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (667) ~ (all_53_6 = e3)
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (651) gives:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (668) all_55_4 = e2
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (390), (668) are inconsistent by sub-proof
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2168.
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (669) all_55_4 = e1 | all_55_4 = e0
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (670) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (670) gives:
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (671) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (671) implies:
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (672) op(e3, e1) = all_52_5
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (673) op(all_52_5, all_52_5) = e1
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (442), (631), (672), (673), (function-axioms)
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2167.
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (674) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (674) implies:
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (675) op(e2, e0) = all_52_15
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (676) op(all_52_15, all_52_15) = e0
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (669) gives:
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (677) all_55_4 = e1
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (646), (677) are inconsistent by sub-proof
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2166.
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (678) all_55_4 = e0
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (678) imply:
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (679) all_53_1 = e0
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (679) implies:
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (680) all_53_1 = e0
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (680) imply:
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (681) ~ (all_53_9 = e0)
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (681) implies:
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (682) ~ (all_53_9 = e0)
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (683) all_55_6 = e3
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (683) imply:
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (684) all_53_9 = e3
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (684) implies:
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (685) all_53_9 = e3
% 217.80/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (685) imply:
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (686) ~ (all_53_11 = e3)
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (686) implies:
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (687) ~ (all_53_11 = e3)
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (688) all_55_14 = e3
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (245), (687), (688) are inconsistent by sub-proof
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2294.
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (689) all_55_14 = e2 | all_55_14 = e1 | all_55_14 = e0
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (689) gives:
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_15, e0, e2, simplifying with (649), (675)
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (690) all_52_15 = e1
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (676), (690) imply:
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (691) op(e1, e1) = e0
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (461), (691), (function-axioms) are
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2427.
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (692) all_55_14 = e1 | all_55_14 = e0
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (122), (170), (245), (457), (631), (692),
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2164.
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (693) all_55_6 = e2 | all_55_6 = e1 | all_55_6 = e0
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (394), (456), (682), (693) are inconsistent
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2160.
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (694) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (694) gives:
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (695) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (695) implies:
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (696) op(e1, e2) = all_52_19
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (697) op(all_52_19, all_52_19) = e2
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (698) all_55_9 = e3
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (667), (698) are inconsistent by sub-proof
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2159.
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (699) all_55_9 = e2 | all_55_9 = e1 | all_55_9 = e0
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (256), (392), (442), (455), (696), (697),
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (699), (function-axioms) are inconsistent by
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2157.
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (700) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (700) implies:
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (701) op(e0, e1) = all_52_29
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (702) op(all_52_29, all_52_29) = e1
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (703) all_55_9 = e3
% 218.45/36.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (667), (703) are inconsistent by sub-proof
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2159.
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (704) ~ (all_55_9 = e3)
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (705) all_55_9 = e2 | all_55_9 = e1 | all_55_9 = e0
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (705) gives:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (706) all_55_9 = e2
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (392), (706) are inconsistent by sub-proof
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2274.
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (707) ~ (all_55_9 = e2)
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (708) all_55_9 = e1 | all_55_9 = e0
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (708) gives:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (709) all_55_9 = e1
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (455), (709) are inconsistent by sub-proof
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2273.
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (710) all_55_9 = e0
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (710) imply:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (711) all_53_6 = e0
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (711) implies:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (712) all_53_6 = e0
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (712) imply:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (713) ~ (all_53_2 = e0)
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (714) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 =
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (714) gives:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (715) all_57_12 = e3 & op(e0, e3) = e3
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (715) implies:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (716) all_57_12 = e3
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (717) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (414), (646), (717), (function-axioms)
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2155.
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (718) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (718) gives:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (719) all_57_6 = e1 & op(e1, e3) = e1
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (719) implies:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (720) all_57_6 = e1
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (164), (230), (234), (414),
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (713), (716), (720), (function-axioms) are
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2152.
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (721) all_57_12 = e1 & op(e0, e3) = e1
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (721) implies:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (722) all_57_12 = e1
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (716), (722) are inconsistent by sub-proof
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2151.
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (723) all_57_13 = e3 & op(e0, e2) = e3
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (723) implies:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (724) all_57_13 = e3
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (669) gives:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (725) all_55_4 = e1
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (646), (725) are inconsistent by sub-proof
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2166.
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (726) all_55_4 = e0
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (726) imply:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (727) all_53_1 = e0
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (727) implies:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (728) all_53_1 = e0
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (728) imply:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (729) ~ (all_53_9 = e0)
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (729) implies:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (730) ~ (all_53_9 = e0)
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (731) all_55_6 = e3
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (731) imply:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (732) all_53_9 = e3
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (732) implies:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (733) all_53_9 = e3
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (733) imply:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (734) ~ (all_53_11 = e3)
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (734) implies:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (735) ~ (all_53_11 = e3)
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (736) all_55_14 = e3
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (245), (735), (736) are inconsistent by sub-proof
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2294.
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (737) ~ (all_55_14 = e3)
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (738) all_55_14 = e2 | all_55_14 = e1 | all_55_14 = e0
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (738) gives:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (739) all_55_14 = e2
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (739) imply:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (740) all_53_11 = e2
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (740) implies:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (741) all_53_11 = e2
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (741) imply:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (742) op(e0, e1) = e2
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29, e1, e0, simplifying with (701), (742)
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (743) all_52_29 = e2
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (743) imply:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (744) op(e2, e2) = e1
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (226), (228), (658),
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (724), (744), (function-axioms) are inconsistent
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2145.
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (745) all_55_14 = e1 | all_55_14 = e0
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (122), (170), (245), (457), (631), (745),
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2164.
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (746) all_55_6 = e2 | all_55_6 = e1 | all_55_6 = e0
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (394), (456), (730), (746) are inconsistent
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2160.
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (747) (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 =
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (747) gives:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (748) all_57_14 = e3 & op(e0, e1) = e3
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (748) implies:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (749) all_57_14 = e3
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (640), (749) imply:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (750) e3 = e2
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (623), (750) imply:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (751) all_57_5 = e2
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (39), (221), (374), (630), (640), (751),
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2188.
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (752) all_57_15 = e3 & op(e0, e0) = e3
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (752) implies:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (753) all_57_15 = e3
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (211), (212),
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (619), (753) are inconsistent by sub-proof #2134.
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (754) all_55_11 = e2 | all_55_11 = e1 | all_55_11 = e0
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (436), (458), (663), (754) are inconsistent
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2133.
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (755) all_55_3 = e1 | all_55_3 = e0
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (434), (647), (755) are inconsistent by
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2132.
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (756) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (756) gives:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (757) all_57_4 = e1 & op(e3, e1) = e1
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (757) implies:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (758) all_57_4 = e1
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (218), (221),
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (419), (640), (758), (function-axioms) are
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2408.
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (759) all_57_9 = e1 & op(e3, e0) = e1
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (647), (759), (function-axioms) are
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2131.
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (760) all_55_7 = e0
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (435), (760) are inconsistent by sub-proof
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2130.
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (761) all_57_5 = e0 & op(e2, e1) = e0
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (761) implies:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (762) all_57_5 = e0
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (165), (168), (225), (401), (408),
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (615), (762), (function-axioms) are inconsistent
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2129.
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (763) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (763) gives:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (764) all_57_8 = e0 & op(e1, e1) = e0
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (764) implies:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (765) op(e1, e1) = e0
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (461), (765), (function-axioms) are
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2427.
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (766) all_57_14 = e0 & op(e0, e1) = e0
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (766) implies:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (767) all_57_14 = e0
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (159), (208),
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (373), (393), (441), (442), (767),
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2120.
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (768) all_57_10 = e2 & op(e2, e0) = e2
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (395), (768), (function-axioms) are
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2432.
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (769) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (769) gives:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (770) all_57_11 = e2 & op(e1, e0) = e2
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (770) implies:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (771) all_57_11 = e2
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (619), (771) are inconsistent by sub-proof
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2119.
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (772) all_57_15 = e2 & op(e0, e0) = e2
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (772) implies:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (773) op(e0, e0) = e2
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (773), (function-axioms) are
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2334.
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (774) all_57_10 = e3 & op(e2, e0) = e3
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (774) implies:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (775) op(e2, e0) = e3
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (615), (775), (function-axioms) are
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2301.
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (776) all_57_15 = e3 & op(e0, e0) = e3
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (776) implies:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (777) op(e0, e0) = e3
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (442), (777), (function-axioms) are
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (778) all_55_10 = e0
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (419), (778) are inconsistent by sub-proof
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2118.
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | (779) all_38_2 = e2
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (779) imply:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | (780) all_6_2 = e2
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (780) imply:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | (781) op(e1, e1) = e2
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | (782) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (171), (391), (414), (782), (function-axioms)
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2455.
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | (783) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (783) gives:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (784) all_57_4 = e2 & op(e3, e1) = e2
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (784) implies:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (785) all_57_4 = e2
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (786) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (169), (231),
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (237), (395), (413), (414), (434),
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (785), (786), (function-axioms) are inconsistent
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2431.
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (787) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (787) gives:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (788) all_57_11 = e2 & op(e1, e0) = e2
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (788) implies:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (789) all_57_11 = e2
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (790) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (790) gives:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (791) all_57_12 = e2 & op(e0, e3) = e2
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (791) implies:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (792) all_57_12 = e2
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (793) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (161), (165),
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (217), (222), (231), (232), (233), (235),
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (401), (414), (419), (435), (436), (789),
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (792), (793), (function-axioms) are inconsistent
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2339.
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (794) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (794) gives:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (795) all_57_8 = e3 & op(e1, e1) = e3
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (795) implies:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (796) op(e1, e1) = e3
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (796), (function-axioms) are
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (797) all_57_14 = e3 & op(e0, e1) = e3
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (797) implies:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (798) all_57_14 = e3
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (799) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (799) gives:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (800) all_57_6 = e3 & op(e1, e3) = e3
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (800) implies:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (801) all_57_6 = e3
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (232), (234),
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (414), (792), (801), (function-axioms) are
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2116.
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (802) all_57_7 = e3 & op(e1, e2) = e3
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (802) implies:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (803) all_57_7 = e3
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (804) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (804) gives:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (805) all_57_6 = e0 & op(e1, e3) = e0
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (805) implies:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (806) all_57_6 = e0
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (807) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (807) gives:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (808) all_57_6 = e1 & op(e1, e3) = e1
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (808) implies:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (809) all_57_6 = e1
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (39), (161), (214), (217),
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (419), (436), (789), (809),
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2340.
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (810) all_57_7 = e1 & op(e1, e2) = e1
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (810) implies:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (811) all_57_7 = e1
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (39), (217), (374), (789), (806),
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (811), (function-axioms) are inconsistent by
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2114.
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (812) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (812) gives:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (813) all_57_8 = e1 & op(e1, e1) = e1
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (813) implies:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (814) op(e1, e1) = e1
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (781), (814), (function-axioms) are
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2423.
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (815) all_57_11 = e1 & op(e1, e0) = e1
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (815) implies:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (816) all_57_11 = e1
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (789), (816) are inconsistent by sub-proof
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2113.
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (817) all_57_7 = e0 & op(e1, e2) = e0
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (817) implies:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (818) all_57_7 = e0
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (803), (818) imply:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (819) e3 = e0
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (798), (819) imply:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (820) all_57_14 = e0
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (161), (165),
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (217), (221), (222), (231), (232), (233),
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (374), (401), (414), (419), (435), (436),
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (789), (792), (820), (function-axioms) are
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2336.
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (821) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (821) gives:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (822) all_57_8 = e0 & op(e1, e1) = e0
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (419), (822), (function-axioms) are
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2412.
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (823) all_57_11 = e0 & op(e1, e0) = e0
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (436), (823), (function-axioms) are
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2341.
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (824) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (824) gives:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (825) all_57_8 = e3 & op(e1, e1) = e3
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (825) implies:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (826) op(e1, e1) = e3
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (826), (function-axioms) are
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (827) all_57_11 = e3 & op(e1, e0) = e3
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (827) implies:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (828) all_57_11 = e3
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (789), (828) imply:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (829) e3 = e2
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (829) implies:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (830) e3 = e2
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (798), (830) imply:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (831) all_57_14 = e2
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (219),
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (374), (785), (831),
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2370.
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (832) all_57_13 = e2 & op(e0, e2) = e2
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (832) implies:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (833) op(e0, e2) = e2
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (393), (833), (function-axioms) are
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2335.
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (834) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (218),
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (373), (374), (785), (834),
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2333.
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (835) all_57_15 = e2 & op(e0, e0) = e2
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (835) implies:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (836) op(e0, e0) = e2
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (836), (function-axioms) are
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2334.
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (837) all_57_9 = e2 & op(e3, e0) = e2
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (837) implies:
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (838) all_57_9 = e2
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (839) op(e3, e0) = e2
% 218.45/36.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (107),
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (111), (113), (114), (119), (126), (127), (129),
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (140), (141), (159),
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (161), (163), (165), (166), (169), (170),
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (171), (191), (192), (194), (196), (198), (199),
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (207), (208), (209), (210), (213), (214),
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (218), (219), (221), (222), (223), (224),
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (230), (231),
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (237), (245), (246),
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (248), (256), (258), (259), (270), (373), (374),
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (392), (393), (394), (400), (401), (411), (413),
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (414), (419), (432), (433), (434), (435), (436),
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (442), (781), (838), (839), (function-axioms) are
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2172.
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | (840) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (165), (169), (434), (435), (436), (840),
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | #2112.
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.77 | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | (841) all_30_2 = e1
% 218.45/36.77 | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (841) imply:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | (842) all_4_2 = e1
% 218.45/36.77 | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | SIMP: (842) implies:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | (843) all_4_2 = e1
% 218.45/36.77 | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | REDUCE: (362), (843) imply:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | (844) ~ (all_53_7 = e1)
% 218.45/36.77 | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | REDUCE: (369), (843) imply:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | (845) ~ (all_53_11 = e1)
% 218.45/36.77 | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | REDUCE: (370), (843) imply:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | (846) ~ (all_53_12 = e1)
% 218.45/36.77 | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | REDUCE: (371), (843) imply:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | (847) ~ (all_53_13 = e1)
% 218.45/36.77 | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | REDUCE: (372), (843) imply:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | (848) ~ (all_53_14 = e1)
% 218.45/36.77 | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | REDUCE: (378), (843) imply:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | (849) ~ (e3 = e1)
% 218.45/36.77 | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | REDUCE: (373), (843) imply:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | (850) ~ (e2 = e1)
% 218.45/36.77 | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | REDUCE: (36), (843) imply:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | (851) op(e0, e0) = e1
% 218.45/36.77 | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | (852) ~ (all_38_2 = e2)
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | REDUCE: (249), (852) imply:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | (853) ~ (all_6_2 = e2)
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | (854) all_55_10 = e3
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (374), (854) are inconsistent by sub-proof
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | #2500.
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | (855) ~ (all_55_10 = e3)
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | (856) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (856) gives:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | (857) all_55_10 = e2
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (853), (857) are inconsistent by sub-proof
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | #2499.
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | (858) ~ (all_55_10 = e2)
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | (859) all_55_10 = e1 | all_55_10 = e0
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (859) gives:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | (860) all_55_10 = e1
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (860) imply:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | (861) all_6_2 = e1
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (861) implies:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | (862) all_6_2 = e1
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (862) imply:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | (863) ~ (all_53_9 = e1)
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (862) imply:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | (864) op(e1, e1) = e1
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | (865) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (865) gives:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | (866) all_57_2 = e1 & op(e2, e3) = e1
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (866) implies:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | (867) all_57_2 = e1
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | (868) op(e2, e3) = e1
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (869) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (869) gives:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (870) all_57_0 = e1 & op(e3, e3) = e1
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (870) implies:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (871) op(e3, e3) = e1
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (414), (871), (function-axioms) are
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (872) all_57_1 = e1 & op(e3, e2) = e1
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (872) implies:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (873) op(e3, e2) = e1
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_1, e1,
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (168), (868) gives:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (874) all_53_1 = e1
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_4, e1,
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (171), (873) gives:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (875) all_53_4 = e1
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (874) imply:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (876) ~ (all_53_9 = e1)
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (874) imply:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (877) ~ (all_53_13 = e1)
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (875) imply:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (878) ~ (all_53_12 = e1)
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (879) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (879) gives:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (880) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (864), (873), (880), (function-axioms) are
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2111.
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (881) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 218.45/36.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (868), (881), (function-axioms) are
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2110.
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (882) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (882) gives:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (883) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (883) implies:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (884) op(e1, e0) = all_52_23
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (885) op(e1, e1) = all_52_21
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (886) op(all_52_23, all_52_23) = e0
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_14,
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_23, e0, e1, simplifying with (161), (884)
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (887) all_53_14 = all_52_23
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21, e1, e1, simplifying with (864), (885)
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (888) all_52_21 = e1
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (887) imply:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (889) all_55_11 = all_52_23
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (887) imply:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (890) ~ (all_53_12 = all_52_23)
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (887) imply:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (891) ~ (all_53_13 = all_52_23)
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (848), (887) imply:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (892) ~ (all_52_23 = e1)
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (893) all_55_6 = e3
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (893) imply:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (894) all_53_9 = e3
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (894) implies:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (895) all_53_9 = e3
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (895) imply:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (896) ~ (all_53_13 = e3)
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (896) implies:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (897) ~ (all_53_13 = e3)
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (898) all_55_7 = e3
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (897), (898) are inconsistent by sub-proof
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2109.
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (899) all_55_7 = e2 | all_55_7 = e1 | all_55_7 = e0
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (899) gives:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (900) all_55_7 = e2
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (395), (900) are inconsistent by sub-proof
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2171.
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (901) all_55_7 = e1 | all_55_7 = e0
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (901) gives:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (902) all_55_7 = e1
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (902) imply:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (903) all_53_13 = e1
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (847), (903) imply:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (904) $false
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (904) is inconsistent.
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (905) all_55_7 = e0
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (905) imply:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (906) all_53_13 = e0
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (906) imply:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (907) ~ (all_53_12 = e0)
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (891), (906) imply:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (908) ~ (all_52_23 = e0)
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (908) implies:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (909) ~ (all_52_23 = e0)
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (910) all_55_3 = e3
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (413), (910) are inconsistent by sub-proof
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2169.
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (911) all_55_3 = e2 | all_55_3 = e1 | all_55_3 = e0
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (911) gives:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (912) all_55_3 = e2
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (912) imply:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (913) all_53_12 = e2
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (913) implies:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (914) all_53_12 = e2
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (890), (914) imply:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (915) ~ (all_52_23 = e2)
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (915) implies:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (916) ~ (all_52_23 = e2)
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (194), (414), (886), (889), (892), (909), (916),
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2105.
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (917) all_55_3 = e1 | all_55_3 = e0
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (846), (907), (917) are inconsistent by
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2132.
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (918) ~ (all_55_6 = e3)
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (919) all_55_6 = e2 | all_55_6 = e1 | all_55_6 = e0
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (259), (918) imply:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (920) ~ (all_53_9 = e3)
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (919) gives:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (921) all_55_6 = e2
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (394), (921) are inconsistent by sub-proof
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2398.
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (922) ~ (all_55_6 = e2)
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (923) all_55_6 = e1 | all_55_6 = e0
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (924) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (924) gives:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (925) all_57_4 = e3 & op(e3, e1) = e3
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (925) implies:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (926) all_57_4 = e3
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (235),
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (414), (926), (function-axioms) are inconsistent
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2474.
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (927) all_57_5 = e3 & op(e2, e1) = e3
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (927) implies:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (928) all_57_5 = e3
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (923) gives:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (929) all_55_6 = e1
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (863), (929) are inconsistent by sub-proof
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2163.
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (930) all_55_6 = e0
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (930) imply:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (931) all_53_9 = e0
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (931) implies:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (932) all_53_9 = e0
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (932) imply:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (933) ~ (all_53_13 = e0)
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (933) implies:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (934) ~ (all_53_13 = e0)
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (920), (932) imply:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (935) ~ (e3 = e0)
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (394), (932) imply:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (936) ~ (e2 = e0)
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (863), (932) imply:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (937) ~ (e1 = e0)
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (165), (222), (401), (867), (928),
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (934), (function-axioms) are inconsistent by
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2469.
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (938) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (938) gives:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (939) all_57_8 = e3 & op(e1, e1) = e3
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (939) implies:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (940) op(e1, e1) = e3
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (940), (function-axioms) are
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (941) all_57_14 = e3 & op(e0, e1) = e3
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (941) implies:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (942) all_57_14 = e3
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (943) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (943) gives:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (944) all_57_12 = e2 & op(e0, e3) = e2
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (944) implies:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (945) all_57_12 = e2
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (946) all_57_15 = e0 & op(e0, e0) = e0
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (946) implies:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (947) op(e0, e0) = e0
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (851), (947), (function-axioms) are
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2290.
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (948) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (948) implies:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (949) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (949) gives:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (950) all_57_12 = e0 & op(e0, e3) = e0
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (950) implies:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (951) all_57_12 = e0
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (945), (951) are inconsistent by sub-proof
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2385.
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (952) (all_57_13 = e0 & op(e0, e2) = e0) | (all_57_14 =
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (952) gives:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (953) all_57_13 = e0 & op(e0, e2) = e0
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (953) implies:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (954) all_57_13 = e0
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (955) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (171), (401), (411), (955), (function-axioms)
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2285.
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (956) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (956) gives:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (957) all_57_7 = e3 & op(e1, e2) = e3
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (957) implies:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (958) all_57_7 = e3
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (959) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_5 = e2
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (959) gives:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (960) all_57_4 = e2 & op(e3, e1) = e2
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (960) implies:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (961) all_57_4 = e2
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (216), (218),
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (230), (232), (374), (401),
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (414), (864), (884), (886), (942), (945), (958),
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (961), (function-axioms) are inconsistent by
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2368.
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (962) all_57_5 = e2 & op(e2, e1) = e2
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (962) implies:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (963) all_57_5 = e2
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (964) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (964) gives:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (965) all_57_2 = e0 & op(e2, e3) = e0
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (965) implies:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (966) all_57_2 = e0
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (867), (966) are inconsistent by sub-proof
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2473.
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (967) all_57_3 = e0 & op(e2, e2) = e0
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (967) implies:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (968) all_57_3 = e0
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (227), (228), (231),
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (414), (954), (958), (968),
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2091.
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (969) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (969) gives:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (970) all_57_5 = e0 & op(e2, e1) = e0
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (970) implies:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (971) all_57_5 = e0
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (963), (971) imply:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (972) e2 = e0
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (972) imply:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (973) all_57_3 = e0
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (227), (228), (231),
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (414), (954), (958), (973),
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2091.
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (974) all_57_10 = e0 & op(e2, e0) = e0
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (165), (259), (863), (923), (974),
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2090.
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (975) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_14 =
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (864), (942), (975), (function-axioms)
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2089.
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (976) all_57_13 = e3 & op(e0, e2) = e3
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (976) implies:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (977) all_57_13 = e3
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (942), (945), (949), (977) are
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2088.
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (978) all_57_14 = e0 & op(e0, e1) = e0
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (978) implies:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (979) all_57_14 = e0
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (942), (979) are inconsistent by sub-proof
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2420.
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (980) all_57_13 = e2 & op(e0, e2) = e2
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (980) implies:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (981) op(e0, e2) = e2
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (393), (981), (function-axioms) are
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2335.
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (982) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (851), (942), (982), (function-axioms)
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2087.
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (983) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (983) implies:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (984) op(e0, e0) = all_52_31
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (985) op(all_52_31, all_52_31) = e0
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (419), (851), (984), (985),
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2086.
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (986) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (218),
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (374), (419), (846), (864), (986),
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | | #2085.
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | (987) all_57_3 = e1 & op(e2, e2) = e1
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (987) implies:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | (988) op(e2, e2) = e1
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (401), (988), (function-axioms) are
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | (989) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (989) gives:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | (990) all_57_5 = e1 & op(e2, e1) = e1
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (863), (990), (function-axioms) are
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2305.
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | (991) all_57_10 = e1 & op(e2, e0) = e1
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (847), (991), (function-axioms) are
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2084.
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | (992) all_55_10 = e0
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (419), (992) are inconsistent by sub-proof
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | #2118.
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | (993) all_38_2 = e2
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (993) imply:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | (994) all_6_2 = e2
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (994) imply:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | (995) op(e1, e1) = e2
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | (996) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (996) gives:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | (997) all_57_9 = e2 & op(e3, e0) = e2
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (997) implies:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | (998) all_57_9 = e2
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | (999) op(e3, e0) = e2
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | (1000) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_2 = e2
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (390), (414), (1000),
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | #2083.
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | (1001) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_12 =
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1001) gives:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | (1002) all_57_6 = e2 & op(e1, e3) = e2
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1002) implies:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | (1003) all_57_6 = e2
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (207),
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (218), (219), (221), (230), (231),
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (235), (374), (393), (414), (419),
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | (851), (995), (1003), (function-axioms) are
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2081.
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | (1004) all_57_12 = e2 & op(e0, e3) = e2
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1004) implies:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | (1005) all_57_12 = e2
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | (1006) op(e0, e3) = e2
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (39), (107), (111), (113),
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | (114), (122), (126), (127), (129), (134), (136),
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | (137), (140), (141), (159), (160), (161), (165),
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (171), (191), (192), (194), (196),
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | (198), (204), (207), (208), (209), (210), (212),
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | (213), (215), (221), (222), (223), (224), (227),
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (233), (235), (245),
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | (246), (248), (256), (258), (270), (374), (392),
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | (400), (401), (411), (413), (414), (419), (844),
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | (845), (846), (847), (848), (851), (995), (998),
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | (999), (1005), (1006), (function-axioms) are
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2046.
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | (1007) all_57_10 = e2 & op(e2, e0) = e2
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (395), (1007), (function-axioms) are
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2432.
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | (1008) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1008) gives:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | (1009) all_57_11 = e2 & op(e1, e0) = e2
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1009) implies:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | (1010) all_57_11 = e2
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | (1011) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_2 = e2
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (390), (414), (1011),
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | | #2083.
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.80 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | (1012) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_12 =
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1012) gives:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | (1013) all_57_6 = e2 & op(e1, e3) = e2
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1013) implies:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | (1014) all_57_6 = e2
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (207),
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (218), (219), (221), (230), (231),
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (235), (374), (393), (414), (419),
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | (851), (995), (1014), (function-axioms) are
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2081.
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | (1015) all_57_12 = e2 & op(e0, e3) = e2
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1015) implies:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | (1016) all_57_12 = e2
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | (1017) op(e0, e3) = e2
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | (1018) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (171), (391), (414), (1018),
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | #2455.
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | (1019) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1019) gives:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (1020) all_57_4 = e2 & op(e3, e1) = e2
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1020) implies:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (1021) all_57_4 = e2
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1022) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1022) gives:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1023) all_57_6 = e3 & op(e1, e3) = e3
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1023) implies:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1024) all_57_6 = e3
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (232), (234),
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (414), (1016), (1024), (function-axioms) are
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2116.
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1025) all_57_7 = e3 & op(e1, e2) = e3
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1025) implies:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1026) all_57_7 = e3
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1027) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1027) gives:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1028) all_57_0 = e1 & op(e3, e3) = e1
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1028) implies:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1029) op(e3, e3) = e1
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (414), (1029), (function-axioms) are
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1030) all_57_1 = e1 & op(e3, e2) = e1
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1030) implies:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1031) all_57_1 = e1
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1032) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1032) gives:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1033) all_57_6 = e0 & op(e1, e3) = e0
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1033) implies:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1034) all_57_6 = e0
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1035) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (414), (1031), (1035), (function-axioms)
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2492.
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1036) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1036) gives:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1037) all_57_4 = e0 & op(e3, e1) = e0
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1021), (1037) are inconsistent by sub-proof
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2045.
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1038) all_57_9 = e0 & op(e3, e0) = e0
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1038) implies:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1039) all_57_9 = e0
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1040) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1040) gives:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1041) all_57_6 = e1 & op(e1, e3) = e1
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1034), (1041) are inconsistent by sub-proof
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2044.
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1042) all_57_7 = e1 & op(e1, e2) = e1
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1042) implies:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1043) all_57_7 = e1
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (39), (217), (374), (1010), (1034),
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1043), (function-axioms) are inconsistent by
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2114.
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1044) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (212), (213), (851),
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (995), (1039), (1044), (function-axioms) are
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2043.
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1045) all_57_7 = e0 & op(e1, e2) = e0
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1026), (1045) are inconsistent by sub-proof
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2042.
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1046) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1046) gives:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1047) all_57_8 = e0 & op(e1, e1) = e0
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (419), (1047), (function-axioms) are
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2412.
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1048) all_57_11 = e0 & op(e1, e0) = e0
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1010), (1048) are inconsistent by sub-proof
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2041.
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1049) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1049) gives:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1050) all_57_4 = e1 & op(e3, e1) = e1
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1021), (1050) are inconsistent by sub-proof
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2452.
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1051) all_57_9 = e1 & op(e3, e0) = e1
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (846), (1051), (function-axioms) are
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2131.
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1052) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (374), (1010), (1052),
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2040.
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (1053) all_57_9 = e2 & op(e3, e0) = e2
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1053) implies:
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (1054) all_57_9 = e2
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (1055) op(e3, e0) = e2
% 218.45/36.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (39), (107), (111), (113),
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (114), (122), (126), (127), (129), (134), (136),
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (140), (141), (159), (160), (161), (165),
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (171), (191), (192), (194), (196),
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (198), (204), (207), (208), (209), (210), (212),
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (215), (221), (222), (223), (224), (227),
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (233), (235), (245),
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (248), (256), (258), (270), (374), (392),
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (400), (401), (411), (413), (414), (419), (844),
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (845), (846), (847), (848), (851), (995), (1016),
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (1017), (1054), (1055), (function-axioms) are
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2046.
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | (1056) all_57_15 = e2 & op(e0, e0) = e2
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1056) implies:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | (1057) op(e0, e0) = e2
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (851), (1057), (function-axioms) are
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2177.
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.82 | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | End of split
% 218.45/36.82 | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.82 | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | (1058) all_24_2 = e0
% 218.45/36.82 | | | | | | | | | | | | | | | | | | (1059) ( ~ (all_24_0 = e2) & op(all_24_1, e1) = all_24_0
% 218.45/36.82 | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_24_1 & $i(all_24_0) &
% 218.45/36.82 | | | | | | | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e3) & op(e1, e0)
% 218.45/36.82 | | | | | | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 218.45/36.82 | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (315), (1058) imply:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | (1060) all_6_2 = e0
% 218.45/36.82 | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | SIMP: (1060) implies:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | (1061) all_6_2 = e0
% 218.45/36.82 | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (311), (1061) imply:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | (1062) all_34_2 = e0
% 218.45/36.82 | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | REDUCE: (350), (1061) imply:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | (1063) ~ (all_53_2 = e0)
% 218.45/36.82 | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | REDUCE: (361), (1061) imply:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | (1064) ~ (all_53_6 = e0)
% 218.45/36.82 | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | REDUCE: (363), (1061) imply:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | (1065) ~ (all_53_8 = e0)
% 218.45/36.82 | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | REDUCE: (364), (1061) imply:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | (1066) ~ (all_53_9 = e0)
% 218.45/36.82 | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | REDUCE: (368), (1061) imply:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | (1067) ~ (all_53_14 = e0)
% 218.45/36.82 | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | REDUCE: (374), (1061) imply:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | (1068) ~ (e3 = e0)
% 218.45/36.82 | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 218.45/36.82 | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | (1069) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 218.45/36.82 | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (164), (1063), (1064), (1069),
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | #2038.
% 218.45/36.82 | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | (1070) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 218.45/36.82 | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | BETA: splitting (1070) gives:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | (1071) all_57_8 = e0 & op(e1, e1) = e0
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | ALPHA: (1071) implies:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | (1072) all_57_8 = e0
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | (1073) op(e1, e1) = e0
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | (1074) ~ (all_30_2 = e1)
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | REDUCE: (330), (1074) imply:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | (1075) ~ (all_4_2 = e1)
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | (1076) all_55_15 = e3
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (1076) imply:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | (1077) all_4_2 = e3
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (378), (1077) imply:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | (1078) $false
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1078) is inconsistent.
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | (1079) ~ (all_55_15 = e3)
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | (1080) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1080) gives:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | (1081) all_55_15 = e2
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (1081) imply:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | (1082) all_4_2 = e2
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (1082) imply:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | (1083) $false
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1083) is inconsistent.
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | (1084) ~ (all_55_15 = e2)
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | (1085) all_55_15 = e1 | all_55_15 = e0
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1085) gives:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | (1086) all_55_15 = e1
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (1086) imply:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | (1087) all_4_2 = e1
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1075), (1087) imply:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | (1088) $false
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1088) is inconsistent.
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | (1089) all_55_15 = e0
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (1089) imply:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | (1090) all_4_2 = e0
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (1090) imply:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | (1091) ~ (all_53_7 = e0)
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (1090) imply:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | (1092) ~ (all_53_11 = e0)
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (1090) imply:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | (1093) ~ (all_53_13 = e0)
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (1090) imply:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | (1094) ~ (e2 = e0)
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1075), (1090) imply:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | (1095) ~ (e1 = e0)
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (1090) imply:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | (1096) op(e0, e0) = e0
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | (1097) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1097) gives:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (1098) all_57_2 = e0 & op(e2, e3) = e0
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1098) implies:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (1099) all_57_2 = e0
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (1100) op(e2, e3) = e0
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1101) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1101) gives:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1102) all_57_1 = e0 & op(e3, e2) = e0
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1102) implies:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1103) op(e3, e2) = e0
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_1, e0,
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (168), (1100) gives:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1104) all_53_1 = e0
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_4, e0,
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (171), (1103) gives:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1105) all_53_4 = e0
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (1104) imply:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1106) ~ (all_53_9 = e0)
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (1104) imply:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1107) ~ (all_53_13 = e0)
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (1105) imply:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1108) ~ (all_53_8 = e0)
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (1105) imply:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1109) ~ (all_53_12 = e0)
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1109) implies:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1110) ~ (all_53_12 = e0)
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1111) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (1096), (1100), (1103), (1111),
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2037.
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1112) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1112) gives:
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1113) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1073), (1096), (1113), (function-axioms) are
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2036.
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.45/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1114) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1114) implies:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1115) op(e0, e1) = all_52_29
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1116) op(all_52_29, all_52_29) = e1
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_11,
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29, e1, e0, simplifying with (158), (1115)
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1117) all_53_11 = all_52_29
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (1117) imply:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1118) all_55_14 = all_52_29
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (1117) imply:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1119) ~ (all_53_8 = all_52_29)
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (1117) imply:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1120) ~ (all_53_9 = all_52_29)
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1092), (1117) imply:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1121) ~ (all_52_29 = e0)
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1122) all_55_7 = e3
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (1122) imply:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1123) all_53_13 = e3
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1123) implies:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1124) all_53_13 = e3
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (1124) imply:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1125) ~ (all_53_9 = e3)
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1126) all_55_6 = e3
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (1125), (1126) are inconsistent by
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2498.
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1127) all_55_6 = e2 | all_55_6 = e1 | all_55_6 = e0
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1127) gives:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1128) all_55_6 = e2
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (394), (1128) are inconsistent by sub-proof
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2398.
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1129) all_55_6 = e1 | all_55_6 = e0
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1129) gives:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1130) all_55_6 = e1
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (1130) imply:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1131) all_53_9 = e1
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1131) implies:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1132) all_53_9 = e1
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (124), (1132) imply:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1133) ~ (all_53_8 = e1)
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1120), (1132) imply:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1134) ~ (all_52_29 = e1)
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1134) implies:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1135) ~ (all_52_29 = e1)
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (191), (203), (269), (412), (414), (1065), (1116),
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1118), (1119), (1121), (1133), (1135),
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2029.
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1136) all_55_6 = e0
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (1066), (1136) are inconsistent by
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2162.
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1137) all_55_7 = e2 | all_55_7 = e1 | all_55_7 = e0
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1137) gives:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1138) all_55_7 = e2
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (395), (1138) are inconsistent by sub-proof
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2171.
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1139) all_55_7 = e1 | all_55_7 = e0
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1139) gives:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1140) all_55_7 = e1
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (1140) imply:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1141) all_53_13 = e1
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1141) implies:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1142) all_53_13 = e1
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (1142) imply:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1143) ~ (all_53_9 = e1)
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (1142) imply:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1144) ~ (all_53_12 = e1)
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1145) all_55_6 = e3
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (1145) imply:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1146) all_53_9 = e3
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1120), (1146) imply:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1147) ~ (all_52_29 = e3)
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1147) implies:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1148) ~ (all_52_29 = e3)
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1149) all_55_3 = e3
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (413), (1149) are inconsistent by sub-proof
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2169.
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1150) all_55_3 = e2 | all_55_3 = e1 | all_55_3 = e0
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1150) gives:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1151) all_55_3 = e2
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (1151) imply:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1152) all_53_12 = e2
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1152) implies:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1153) all_53_12 = e2
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (1153) imply:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1154) ~ (all_53_8 = e2)
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1155) all_55_2 = e3
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (412), (1155) are inconsistent by sub-proof
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2028.
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1156) all_55_2 = e2 | all_55_2 = e1 | all_55_2 = e0
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1156) gives:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1157) all_55_2 = e2
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (1154), (1157) are inconsistent by
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2027.
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1158) all_55_2 = e1 | all_55_2 = e0
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1158) gives:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1159) all_55_2 = e1
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (1159) imply:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1160) all_53_8 = e1
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1160) implies:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1161) all_53_8 = e1
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1119), (1161) imply:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1162) ~ (all_52_29 = e1)
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1162) implies:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1163) ~ (all_52_29 = e1)
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (191), (401), (1116), (1118), (1121), (1148),
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1163), (function-axioms) are inconsistent by
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2025.
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1164) all_55_2 = e0
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (1065), (1164) are inconsistent by
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2031.
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1165) all_55_3 = e1 | all_55_3 = e0
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (1110), (1144), (1165) are inconsistent by
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2132.
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1166) all_55_6 = e2 | all_55_6 = e1 | all_55_6 = e0
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (394), (1066), (1143), (1166) are
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2160.
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1167) all_55_7 = e0
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (1093), (1167) are inconsistent by
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2130.
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1168) all_57_3 = e0 & op(e2, e2) = e0
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1168) implies:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1169) all_57_3 = e0
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1099), (1169) are inconsistent by sub-proof
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2246.
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1170) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (1064), (1091), (1170),
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2024.
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (1171) all_57_3 = e0 & op(e2, e2) = e0
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1171) implies:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (1172) op(e2, e2) = e0
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (401), (1172), (function-axioms) are
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2472.
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | (1173) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (166), (1066), (1093), (1173),
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | #2022.
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | (1174) all_30_2 = e1
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | (1175) ( ~ (all_30_0 = e2) & op(all_30_1, e0) = all_30_0
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_30_1 & $i(all_30_0) &
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)) | ( ~ (all_30_1 = e3) & op(e0, e1)
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | = all_30_1 & $i(all_30_1))
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (1174) imply:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | (1176) all_4_2 = e1
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (295), (1176) imply:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | (1177) all_40_2 = e1
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (1176) imply:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | (1178) ~ (all_53_3 = e1)
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (1176) imply:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | (1179) ~ (all_53_7 = e1)
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (1176) imply:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | (1180) ~ (all_53_12 = e1)
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (1176) imply:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | (1181) ~ (all_53_13 = e1)
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (1176) imply:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | (1182) ~ (all_53_14 = e1)
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (378), (1176) imply:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | (1183) ~ (e3 = e1)
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (1176) imply:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | (1184) ~ (e2 = e1)
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (1176) imply:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | (1185) op(e0, e0) = e1
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | (1186) ~ (all_34_2 = e0)
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1062), (1186) imply:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | (1187) $false
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1187) is inconsistent.
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | (1188) ( ~ (all_34_0 = e3) & op(all_34_1, e1) = all_34_0
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_34_1 & $i(all_34_0) &
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)) | ( ~ (all_34_1 = e2) & op(e1, e0)
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | = all_34_1 & $i(all_34_1))
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | (1189) ~ (all_40_2 = e1)
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1177), (1189) imply:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | (1190) $false
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1190) is inconsistent.
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | (1191) ( ~ (all_40_0 = e3) & op(all_40_1, e0) = all_40_0
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_40_1 & $i(all_40_0) &
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)) | ( ~ (all_40_1 = e2) & op(e0, e1)
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | = all_40_1 & $i(all_40_1))
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | (1192) all_55_9 = e3
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (1192) imply:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | (1193) all_53_6 = e3
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1193) implies:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | (1194) all_53_6 = e3
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (1194) imply:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | (1195) ~ (all_53_7 = e3)
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1195) implies:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | (1196) ~ (all_53_7 = e3)
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (1194) imply:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | (1197) ~ (all_53_14 = e3)
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1197) implies:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | (1198) ~ (all_53_14 = e3)
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | (1199) all_55_13 = e3
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (1199) imply:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | (1200) all_53_7 = e3
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1196), (1200) imply:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | (1201) $false
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1201) is inconsistent.
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | (1202) all_55_13 = e2 | all_55_13 = e1 | all_55_13 = e0
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1202) gives:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (1203) all_55_13 = e2
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (1203) imply:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (1204) all_53_7 = e2
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (393), (1204) imply:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (1205) $false
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1205) is inconsistent.
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (1206) ~ (all_55_13 = e2)
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (1207) all_55_13 = e1 | all_55_13 = e0
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1208) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1208) gives:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1209) all_57_6 = e3 & op(e1, e3) = e3
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1209) implies:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1210) all_57_6 = e3
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (232), (234),
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (417), (1210) are inconsistent by sub-proof #2010.
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1211) all_57_7 = e3 & op(e1, e2) = e3
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1211) implies:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1212) all_57_7 = e3
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1213) (all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 =
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1213) gives:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1214) all_57_9 = e3 & op(e3, e0) = e3
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1214) implies:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1215) op(e3, e0) = e3
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (413), (1215), (function-axioms) are
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2458.
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1216) all_57_10 = e3 & op(e2, e0) = e3
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1216) implies:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1217) all_57_10 = e3
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1218) op(e2, e0) = e3
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1219) all_57_15 = e0 & op(e0, e0) = e0
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1219) implies:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1220) op(e0, e0) = e0
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1185), (1220), (function-axioms) are
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2290.
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1221) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1221) implies:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1222) (all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 & op(e1,
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1222) gives:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1223) all_57_9 = e0 & op(e3, e0) = e0
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1223) implies:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1224) all_57_9 = e0
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1225) op(e3, e0) = e0
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1226) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (171), (391), (414), (1226),
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2455.
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1227) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1227) gives:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1228) all_57_4 = e2 & op(e3, e1) = e2
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1228) implies:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1229) all_57_4 = e2
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1230) all_55_11 = e3
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (1198), (1230) are inconsistent by
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2497.
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1231) all_55_11 = e2 | all_55_11 = e1 | all_55_11 = e0
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1232) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 =
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1232) gives:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1233) all_57_12 = e3 & op(e0, e3) = e3
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1233) implies:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1234) all_57_12 = e3
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1235) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1235) gives:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1236) all_57_6 = e1 & op(e1, e3) = e1
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1236) implies:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1237) all_57_6 = e1
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (164), (230), (234), (414),
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1063), (1234), (1237), (function-axioms) are
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2152.
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1238) all_57_7 = e1 & op(e1, e2) = e1
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1212), (1238) are inconsistent by sub-proof
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2104.
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1239) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (212), (213),
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1073), (1185), (1224), (1239), (function-axioms)
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2009.
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1240) all_57_13 = e3 & op(e0, e2) = e3
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1240) implies:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1241) all_57_13 = e3
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1242) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1242) gives:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1243) all_57_9 = e2 & op(e3, e0) = e2
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1243) implies:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1244) all_57_9 = e2
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1224), (1244) imply:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1245) e2 = e0
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1229), (1245) imply:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1246) all_57_4 = e0
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (233), (235), (414),
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1224), (1246), (function-axioms) are inconsistent
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2436.
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1247) all_57_10 = e2 & op(e2, e0) = e2
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (395), (1247), (function-axioms) are
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2432.
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1248) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1248) gives:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1249) all_57_11 = e2 & op(e1, e0) = e2
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1249) implies:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1250) all_57_11 = e2
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1251) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1251) gives:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1252) all_57_6 = e1 & op(e1, e3) = e1
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1252) implies:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1253) all_57_6 = e1
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1254) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1254) gives:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1255) all_57_0 = e1 & op(e3, e3) = e1
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1255) implies:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1256) op(e3, e3) = e1
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (414), (1256), (function-axioms) are
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1257) all_57_1 = e1 & op(e3, e2) = e1
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1257) implies:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1258) all_57_1 = e1
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1259) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1259) gives:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1260) all_57_1 = e0 & op(e3, e2) = e0
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1258), (1260) are inconsistent by sub-proof
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2493.
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1261) all_57_3 = e0 & op(e2, e2) = e0
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1261) implies:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1262) all_57_3 = e0
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1263) op(e2, e2) = e0
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (227), (228), (1212),
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1241), (1262), (1263), (function-axioms) are
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2007.
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1264) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1264) gives:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1265) all_57_7 = e0 & op(e1, e2) = e0
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1265) implies:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1266) all_57_7 = e0
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (39), (217), (374), (1250), (1253),
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1266), (function-axioms) are inconsistent by
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2343.
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1267) all_57_13 = e0 & op(e0, e2) = e0
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1267) implies:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1268) all_57_13 = e0
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1241), (1268) imply:
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1269) e3 = e0
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1212), (1269) imply:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1270) all_57_7 = e0
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (39), (217), (374), (1250), (1253),
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1270), (function-axioms) are inconsistent by
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2343.
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1271) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1271) gives:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1272) all_57_4 = e1 & op(e3, e1) = e1
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1272) implies:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1273) all_57_4 = e1
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1229), (1273) imply:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1274) e2 = e1
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1250), (1274) imply:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1275) all_57_11 = e1
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (39), (216), (217), (374),
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1072), (1253), (1275), (function-axioms) are
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2003.
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1276) all_57_9 = e1 & op(e3, e0) = e1
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (1180), (1276), (function-axioms) are
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2131.
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1277) all_57_7 = e1 & op(e1, e2) = e1
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1212), (1277) are inconsistent by sub-proof
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2104.
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1278) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (212), (213),
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1073), (1185), (1224), (1278), (function-axioms)
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2009.
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1279) all_57_15 = e2 & op(e0, e0) = e2
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1279) implies:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1280) op(e0, e0) = e2
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1185), (1280), (function-axioms) are
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2177.
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1281) (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 =
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1281) gives:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1282) all_57_14 = e3 & op(e0, e1) = e3
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1282) implies:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1283) all_57_14 = e3
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1284) op(e0, e1) = e3
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1285) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1285) gives:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1286) all_57_6 = e1 & op(e1, e3) = e1
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1286) implies:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1287) op(e1, e3) = e1
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1207) gives:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1288) all_55_13 = e1
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (1179), (1288) are inconsistent by
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2002.
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1289) all_55_13 = e0
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (1289) imply:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1290) all_53_7 = e0
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1290) implies:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1291) all_53_7 = e0
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (1291) imply:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1292) ~ (all_53_3 = e0)
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1179), (1291) imply:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1293) ~ (e1 = e0)
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1294) all_55_12 = e3
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (410), (1294) are inconsistent by sub-proof
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2001.
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1295) all_55_12 = e2 | all_55_12 = e1 | all_55_12 = e0
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1295) gives:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1296) all_55_12 = e2
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (1296) imply:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1297) all_53_3 = e2
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1297) implies:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1298) all_53_3 = e2
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (1298) imply:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1299) ~ (all_53_2 = e2)
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1300) all_55_8 = e3
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (1300) imply:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1301) all_53_2 = e3
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (409), (1301) imply:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1302) $false
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1302) is inconsistent.
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1303) ~ (all_55_8 = e3)
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1304) all_55_8 = e2 | all_55_8 = e1 | all_55_8 = e0
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1305) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1305) gives:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1306) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1306) implies:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1307) op(e3, e0) = all_52_7
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1308) op(all_52_7, all_52_7) = e0
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1185), (1225), (1307), (1308),
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2000.
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1309) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1309) implies:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1310) op(e2, e0) = all_52_15
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1311) op(all_52_15, all_52_15) = e0
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1231) gives:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1312) all_55_11 = e2
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (1312) imply:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1313) all_53_14 = e2
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1313) implies:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1314) all_53_14 = e2
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (1314) imply:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1315) ~ (all_53_12 = e2)
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (202), (268), (413), (414), (1180), (1218),
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1310), (1311), (1315), (function-axioms) are
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1999.
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1316) all_55_11 = e1 | all_55_11 = e0
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (1067), (1182), (1316) are inconsistent by
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2307.
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1317) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1317) gives:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1318) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1318) implies:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1319) op(e1, e3) = all_52_17
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1320) op(all_52_17, all_52_17) = e3
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (195), (336), (374), (1287), (1319), (1320),
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1998.
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1321) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1321) implies:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1322) op(e0, e1) = all_52_29
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1323) op(all_52_29, all_52_29) = e1
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1175) gives:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1324) ~ (all_30_0 = e2) & op(all_30_1, e0) = all_30_0 &
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_30_1 & $i(all_30_0) &
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1324) implies:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1325) op(e0, e1) = all_30_1
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1191) gives:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1326) ~ (all_40_0 = e3) & op(all_40_1, e0) = all_40_0 &
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_40_1 & $i(all_40_0) &
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1326) implies:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1327) op(e0, e1) = all_40_1
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (409), (414), (1063), (1284), (1299),
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1304), (1322), (1323), (1325), (1327),
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1996.
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1328) ~ (all_40_1 = e2) & op(e0, e1) = all_40_1 &
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1328) implies:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1329) op(e0, e1) = all_40_1
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (409), (414), (1063), (1284), (1299),
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1304), (1322), (1323), (1325), (1329),
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1996.
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1330) ~ (all_30_1 = e3) & op(e0, e1) = all_30_1 &
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1330) implies:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1331) ~ (all_30_1 = e3)
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1332) op(e0, e1) = all_30_1
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1191) gives:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1333) ~ (all_40_0 = e3) & op(all_40_1, e0) = all_40_0 &
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_40_1 & $i(all_40_0) &
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1333) implies:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1334) op(e0, e1) = all_40_1
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1284), (1331), (1332), (1334), (function-axioms)
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1995.
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1335) ~ (all_40_1 = e2) & op(e0, e1) = all_40_1 &
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1335) implies:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1336) op(e0, e1) = all_40_1
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1284), (1331), (1332), (1336), (function-axioms)
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1995.
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1337) all_55_12 = e1 | all_55_12 = e0
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (1178), (1292), (1337) are inconsistent by
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1992.
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1338) all_57_7 = e1 & op(e1, e2) = e1
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1338) implies:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1339) all_57_7 = e1
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1212), (1339) imply:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1340) e3 = e1
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1283), (1340) imply:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1341) all_57_14 = e1
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (207), (209),
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (393), (1185), (1341), (function-axioms)
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2175.
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1342) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (212), (213),
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1073), (1185), (1224), (1342), (function-axioms)
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2009.
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1343) all_57_15 = e3 & op(e0, e0) = e3
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1343) implies:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1344) all_57_15 = e3
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (211), (212),
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1217), (1224), (1344) are inconsistent by
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1982.
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1345) all_57_9 = e2 & op(e3, e0) = e2
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1345) implies:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1346) all_57_9 = e2
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1224), (1346) are inconsistent by sub-proof
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2440.
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1347) (all_57_10 = e0 & op(e2, e0) = e0) | (all_57_11 =
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1347) gives:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1348) all_57_10 = e0 & op(e2, e0) = e0
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1217), (1348) are inconsistent by sub-proof
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1981.
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1349) all_57_11 = e0 & op(e1, e0) = e0
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (1067), (1349), (function-axioms) are
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2341.
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1350) (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 =
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1350) gives:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1351) all_57_11 = e3 & op(e1, e0) = e3
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1351) implies:
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1352) op(e1, e0) = e3
% 218.89/36.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (1198), (1352), (function-axioms) are
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2330.
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1353) all_57_15 = e3 & op(e0, e0) = e3
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1353) implies:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1354) op(e0, e0) = e3
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1185), (1354), (function-axioms) are
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2183.
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1355) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (161), (374), (1198), (1355),
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2310.
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | (1356) ~ (all_55_9 = e3)
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | (1357) all_55_9 = e2 | all_55_9 = e1 | all_55_9 = e0
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (256), (1356) imply:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | (1358) ~ (all_53_6 = e3)
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1357) gives:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | (1359) all_55_9 = e2
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (392), (1359) are inconsistent by sub-proof
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | #2274.
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | (1360) all_55_9 = e1 | all_55_9 = e0
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (1361) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1361) gives:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1362) all_57_6 = e3 & op(e1, e3) = e3
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1362) implies:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1363) all_57_6 = e3
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (232), (234),
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (417), (1363) are inconsistent by sub-proof #2010.
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1364) all_57_7 = e3 & op(e1, e2) = e3
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1364) implies:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1365) all_57_7 = e3
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1366) all_57_15 = e0 & op(e0, e0) = e0
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1366) implies:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1367) op(e0, e0) = e0
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1185), (1367), (function-axioms) are
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2290.
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1368) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1368) implies:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1369) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1360) gives:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1370) all_55_9 = e1
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (1370) imply:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1371) all_53_6 = e1
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1371) implies:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1372) all_53_6 = e1
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (1372) imply:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1373) ~ (all_53_2 = e1)
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1374) all_55_8 = e3
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (409), (1374) are inconsistent by sub-proof
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2496.
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1375) ~ (all_55_8 = e3)
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1376) all_55_8 = e2 | all_55_8 = e1 | all_55_8 = e0
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1376) gives:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1377) all_55_8 = e2
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (1377) imply:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1378) all_53_2 = e2
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1378) implies:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1379) all_53_2 = e2
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (1379) imply:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1380) ~ (all_53_3 = e2)
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1380) implies:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1381) ~ (all_53_3 = e2)
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1382) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (160), (393), (1381), (1382),
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1979.
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1383) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1383) gives:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1384) all_57_14 = e2 & op(e0, e1) = e2
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1384) implies:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1385) all_57_14 = e2
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1386) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (171), (391), (414), (1386),
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2455.
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1387) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1387) gives:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1388) all_57_4 = e2 & op(e3, e1) = e2
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1388) implies:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1389) all_57_4 = e2
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (219),
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (374), (1385), (1389),
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2370.
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1390) all_57_9 = e2 & op(e3, e0) = e2
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1390) implies:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1391) all_57_9 = e2
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (144), (145), (160),
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (197), (209), (210), (227), (231),
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (256), (257), (401), (409), (414), (1063),
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1064), (1065), (1180), (1185), (1358), (1360),
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1365), (1369), (1391), (function-axioms) are
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1971.
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1392) all_57_15 = e2 & op(e0, e0) = e2
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1392) implies:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1393) op(e0, e0) = e2
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1185), (1393), (function-axioms) are
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2177.
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1394) all_55_8 = e1 | all_55_8 = e0
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (1063), (1373), (1394) are inconsistent by
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1974.
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1395) all_55_9 = e0
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (1064), (1395) are inconsistent by
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2272.
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (1396) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1396) gives:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1397) all_57_8 = e3 & op(e1, e1) = e3
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1397) implies:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1398) op(e1, e1) = e3
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (1398), (function-axioms) are
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1399) all_57_11 = e3 & op(e1, e0) = e3
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1399) implies:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1400) all_57_11 = e3
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1401) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (171), (401), (411), (1401),
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2285.
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1402) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1402) gives:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1403) all_57_7 = e3 & op(e1, e2) = e3
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1403) implies:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1404) all_57_7 = e3
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1405) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1405) gives:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1406) all_57_9 = e2 & op(e3, e0) = e2
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1406) implies:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1407) all_57_9 = e2
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1408) all_57_15 = e0 & op(e0, e0) = e0
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1408) implies:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1409) op(e0, e0) = e0
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1185), (1409), (function-axioms) are
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2290.
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1410) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1410) implies:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1411) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (144), (145), (160),
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (197), (209), (210), (227), (231),
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (256), (257), (401), (409), (414), (1063),
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1064), (1065), (1180), (1185), (1358), (1360),
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1404), (1407), (1411), (function-axioms) are
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1971.
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1412) all_57_10 = e2 & op(e2, e0) = e2
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (395), (1412), (function-axioms) are
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2432.
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1413) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1413) gives:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1414) all_57_11 = e2 & op(e1, e0) = e2
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1414) implies:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1415) all_57_11 = e2
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1400), (1415) are inconsistent by sub-proof
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2119.
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1416) all_57_15 = e2 & op(e0, e0) = e2
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1416) implies:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1417) op(e0, e0) = e2
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1185), (1417), (function-axioms) are
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2177.
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1418) all_57_13 = e3 & op(e0, e2) = e3
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1418) implies:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1419) all_57_13 = e3
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1420) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1420) gives:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1421) all_57_9 = e2 & op(e3, e0) = e2
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1421) implies:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1422) op(e3, e0) = e2
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1423) all_57_15 = e0 & op(e0, e0) = e0
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1423) implies:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1424) op(e0, e0) = e0
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1185), (1424), (function-axioms) are
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2290.
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1425) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1425) implies:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1426) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1427) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1427) gives:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1428) all_57_1 = e0 & op(e3, e2) = e0
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1428) implies:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1429) all_57_1 = e0
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1430) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_7 = e2
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1430) gives:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1431) all_57_6 = e2 & op(e1, e3) = e2
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1431) implies:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1432) all_57_6 = e2
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1360) gives:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1433) all_55_9 = e1
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (1433) imply:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1434) all_53_6 = e1
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (1434) imply:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1435) ~ (all_53_2 = e1)
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (1434) imply:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1436) ~ (all_53_14 = e1)
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1437) all_55_8 = e3
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (409), (1437) are inconsistent by sub-proof
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2496.
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1438) all_55_8 = e2 | all_55_8 = e1 | all_55_8 = e0
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1439) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (414), (1429), (1439), (function-axioms)
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2445.
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1440) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1440) gives:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1441) all_57_4 = e1 & op(e3, e1) = e1
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1441) implies:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1442) all_57_4 = e1
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1438) gives:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1443) all_55_8 = e2
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (1443) imply:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1444) all_53_2 = e2
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1444) implies:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1445) all_53_2 = e2
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (1445) imply:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1446) ~ (all_53_3 = e2)
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1446) implies:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447) ~ (all_53_3 = e2)
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (142), (1445) imply:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1448) ~ (all_53_14 = e2)
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1448) implies:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1449) ~ (all_53_14 = e2)
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1450) all_55_11 = e3
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (1450) imply:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1451) all_53_14 = e3
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1451) implies:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1452) all_53_14 = e3
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (1452) imply:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1453) ~ (all_53_13 = e3)
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (161), (1452) imply:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1454) op(e1, e0) = e3
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1455) all_55_7 = e3
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (1453), (1455) are inconsistent by
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2109.
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1456) ~ (all_55_7 = e3)
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1457) all_55_7 = e2 | all_55_7 = e1 | all_55_7 = e0
% 218.89/36.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1188) gives:
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1458) ~ (all_34_0 = e3) & op(all_34_1, e1) = all_34_0 &
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_34_1 & $i(all_34_0) &
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1458) implies:
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1459) op(e1, e0) = all_34_1
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (107), (159), (160),
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (168), (169), (208), (209), (210), (225),
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (237), (258), (393), (395), (401),
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (408), (413), (414), (1059), (1181), (1185),
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1419), (1422), (1426), (1429), (1432), (1442),
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447), (1453), (1454), (1457), (1459),
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1959.
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1460) ~ (all_34_1 = e2) & op(e1, e0) = all_34_1 &
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1460) implies:
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1461) op(e1, e0) = all_34_1
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (107), (159), (160),
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (168), (169), (208), (209), (210), (225),
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (237), (258), (393), (395), (401),
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (408), (413), (414), (1059), (1181), (1185),
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1419), (1422), (1426), (1429), (1432), (1442),
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447), (1453), (1454), (1457), (1461),
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1959.
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1462) all_55_11 = e2 | all_55_11 = e1 | all_55_11 = e0
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (1067), (1182), (1449), (1462) are
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2133.
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1463) all_55_8 = e1 | all_55_8 = e0
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (1063), (1435), (1463) are inconsistent by
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1974.
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1464) all_57_9 = e1 & op(e3, e0) = e1
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (1180), (1464), (function-axioms) are
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2131.
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1465) all_55_9 = e0
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (1465) imply:
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1466) all_53_6 = e0
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1064), (1466) imply:
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1467) $false
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1467) is inconsistent.
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1468) all_57_7 = e2 & op(e1, e2) = e2
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1468) implies:
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1469) all_57_7 = e2
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (227), (401), (1419), (1429),
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1469), (function-axioms) are inconsistent by
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1958.
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1470) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_11 =
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1470) gives:
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1471) all_57_8 = e2 & op(e1, e1) = e2
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1471) implies:
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1472) all_57_8 = e2
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1072), (1472) are inconsistent by sub-proof
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1957.
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1473) all_57_11 = e2 & op(e1, e0) = e2
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1473) implies:
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1474) all_57_11 = e2
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1400), (1474) are inconsistent by sub-proof
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2119.
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1475) all_57_3 = e0 & op(e2, e2) = e0
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1475) implies:
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1476) op(e2, e2) = e0
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (401), (1476), (function-axioms) are
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2472.
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1477) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1477) gives:
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1478) all_57_7 = e0 & op(e1, e2) = e0
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (1064), (1478), (function-axioms) are
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2039.
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1479) all_57_13 = e0 & op(e0, e2) = e0
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1479) implies:
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1480) all_57_13 = e0
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1419), (1480) are inconsistent by sub-proof
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2184.
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1481) all_57_10 = e2 & op(e2, e0) = e2
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (395), (1481), (function-axioms) are
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2432.
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1482) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (1185), (1400), (1482),
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1956.
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | (1483) all_57_11 = e0 & op(e1, e0) = e0
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (1067), (1483), (function-axioms) are
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2341.
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.90 | | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.90 | | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | End of split
% 218.89/36.90 | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.90 | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | (1484) all_57_1 = e3 & op(e3, e2) = e3
% 218.89/36.90 | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | | REF_CLOSE: (171), (411), (1484), (function-axioms) are
% 218.89/36.90 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2286.
% 218.89/36.90 | | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | End of split
% 218.89/36.90 | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | Case 2:
% 218.89/36.90 | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | (1485) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_9 = e3
% 218.89/36.90 | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 218.89/36.90 | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (231), (233),
% 218.89/36.90 | | | | | | | | | | | | | | | | (235), (413), (414), (1485), (function-axioms) are
% 218.89/36.90 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1955.
% 218.89/36.90 | | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | End of split
% 218.89/36.90 | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | Case 2:
% 218.89/36.90 | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | (1486) all_55_0 = e2 | all_55_0 = e1 | all_55_0 = e0
% 218.89/36.90 | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | REF_CLOSE: (277), (376), (403), (405), (1486) are
% 218.89/36.90 | | | | | | | | | | | | | | | inconsistent by sub-proof #1953.
% 218.89/36.90 | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | End of split
% 218.89/36.90 | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | Case 2:
% 218.89/36.90 | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | (1487) all_20_2 = e2
% 218.89/36.90 | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | COMBINE_EQS: (299), (1487) imply:
% 218.89/36.90 | | | | | | | | | | | | | | (1488) all_10_2 = e2
% 218.89/36.90 | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | SIMP: (1488) implies:
% 218.89/36.90 | | | | | | | | | | | | | | (1489) all_10_2 = e2
% 218.89/36.90 | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | REDUCE: (342), (1489) imply:
% 218.89/36.90 | | | | | | | | | | | | | | (1490) ~ (all_53_3 = e2)
% 218.89/36.90 | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | REDUCE: (348), (1489) imply:
% 218.89/36.90 | | | | | | | | | | | | | | (1491) ~ (all_53_12 = e2)
% 218.89/36.90 | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | REDUCE: (45), (1489) imply:
% 218.89/36.90 | | | | | | | | | | | | | | (1492) op(e3, e3) = e2
% 218.89/36.90 | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 218.89/36.90 | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | Case 1:
% 218.89/36.90 | | | | | | | | | | | | | | |
% 218.89/36.90 | | | | | | | | | | | | | | | (1493) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 218.89/36.91 | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 218.89/36.91 | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (395), (1491), (1493),
% 218.89/36.91 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.89/36.91 | | | | | | | | | | | | | | | #1952.
% 218.89/36.91 | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | Case 2:
% 218.89/36.91 | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | (1494) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 218.89/36.91 | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 218.89/36.91 | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | BETA: splitting (1494) gives:
% 218.89/36.91 | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | Case 1:
% 218.89/36.91 | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | (1495) all_57_11 = e2 & op(e1, e0) = e2
% 218.89/36.91 | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | ALPHA: (1495) implies:
% 218.89/36.91 | | | | | | | | | | | | | | | | (1496) all_57_11 = e2
% 218.89/36.91 | | | | | | | | | | | | | | | | (1497) op(e1, e0) = e2
% 218.89/36.91 | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 218.89/36.91 | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.91 | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | (1498) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 218.89/36.91 | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 218.89/36.91 | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (160), (393), (1490), (1498),
% 218.89/36.91 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.89/36.91 | | | | | | | | | | | | | | | | | #1979.
% 218.89/36.91 | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.91 | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | (1499) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 218.89/36.91 | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 218.89/36.91 | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | BETA: splitting (1499) gives:
% 218.89/36.91 | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.91 | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | (1500) all_57_14 = e2 & op(e0, e1) = e2
% 218.89/36.91 | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | ALPHA: (1500) implies:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | (1501) op(e0, e1) = e2
% 218.89/36.91 | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_11,
% 218.89/36.91 | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (158), (1501) gives:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | (1502) all_53_11 = e2
% 218.89/36.91 | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_14,
% 218.89/36.91 | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (161), (1497) gives:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | (1503) all_53_14 = e2
% 218.89/36.91 | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | REDUCE: (368), (1503) imply:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | (1504) ~ (all_6_2 = e2)
% 218.89/36.91 | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | SIMP: (1504) implies:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | (1505) ~ (all_6_2 = e2)
% 218.89/36.91 | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | REDUCE: (372), (1503) imply:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | (1506) ~ (all_4_2 = e2)
% 218.89/36.91 | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 218.89/36.91 | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | (1507) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 218.89/36.91 | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | BETA: splitting (1507) gives:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | (1508) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | ALPHA: (1508) implies:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | (1509) op(e3, e3) = all_52_1
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | (1510) op(all_52_1, all_52_1) = e3
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (401), (1492), (1509), (1510),
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | #1951.
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | (1511) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | ALPHA: (1511) implies:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | (1512) op(e2, e1) = all_52_13
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | (1513) op(e2, e3) = all_52_9
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | (1514) op(all_52_13, all_52_13) = e1
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | (1515) op(all_52_9, all_52_9) = e3
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_9,
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | all_52_13, e1, e2, simplifying with (166), (1512)
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | gives:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | (1516) all_53_9 = all_52_13
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_1,
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | all_52_9, e3, e2, simplifying with (168), (1513)
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | gives:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | (1517) all_53_1 = all_52_9
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (1516) imply:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | (1518) all_55_6 = all_52_13
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (1516) imply:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | (1519) ~ (all_52_13 = all_6_2)
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | REDUCE: (394), (1516) imply:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | (1520) ~ (all_52_13 = e2)
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | (1521) ~ (all_24_2 = e0)
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | REDUCE: (315), (1521) imply:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | (1522) ~ (all_6_2 = e0)
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | (1523) all_55_10 = e3
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (374), (1523) are inconsistent by sub-proof
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | #2500.
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | (1524) ~ (all_55_10 = e3)
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | (1525) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1525) gives:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | (1526) all_55_10 = e2
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (1505), (1526) are inconsistent by
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2499.
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | (1527) ~ (all_55_10 = e2)
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | (1528) all_55_10 = e1 | all_55_10 = e0
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1528) gives:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | (1529) all_55_10 = e1
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (1529) imply:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | (1530) all_6_2 = e1
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1530) implies:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | (1531) all_6_2 = e1
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1519), (1531) imply:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | (1532) ~ (all_52_13 = e1)
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1505), (1531) imply:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | (1533) ~ (e2 = e1)
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (1531) imply:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | (1534) op(e1, e1) = e1
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | (1535) ~ (all_30_2 = e1)
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (330), (1535) imply:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | (1536) ~ (all_4_2 = e1)
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (1537) all_55_15 = e3
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (378), (1537) are inconsistent by sub-proof
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | #2503.
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (1538) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1538) gives:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1539) all_55_15 = e2
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (1539) are inconsistent by sub-proof
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2502.
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1540) all_55_15 = e1 | all_55_15 = e0
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1540) gives:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1541) all_55_15 = e1
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (1536), (1541) are inconsistent by
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2501.
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1542) all_55_15 = e0
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (1542) imply:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1543) all_4_2 = e0
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1543) implies:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1544) all_4_2 = e0
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (1544) imply:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1545) op(e0, e0) = e0
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1546) all_55_6 = e3
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1518), (1546) imply:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1547) all_52_13 = e3
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1514), (1547) imply:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1548) op(e3, e3) = e1
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1492), (1548), (function-axioms) are
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1950.
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1549) all_55_6 = e2 | all_55_6 = e1 | all_55_6 = e0
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1514), (1518), (1520), (1532), (1545), (1549),
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2289.
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | (1550) all_30_2 = e1
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (1550) imply:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | (1551) all_4_2 = e1
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (1551) imply:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | (1552) ~ (all_53_3 = e1)
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (378), (1551) imply:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | (1553) ~ (e3 = e1)
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (1554) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1554) gives:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1555) all_57_0 = e1 & op(e3, e3) = e1
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1555) implies:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1556) op(e3, e3) = e1
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1492), (1556), (function-axioms) are
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1950.
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1557) all_57_2 = e1 & op(e2, e3) = e1
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1557) implies:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1558) op(e2, e3) = e1
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e1,
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (1513), (1558) gives:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1559) all_52_9 = e1
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1515), (1559) imply:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1560) op(e1, e1) = e3
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (1560), (function-axioms) are
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (1561) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1561) gives:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1562) all_57_6 = e1 & op(e1, e3) = e1
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1562) implies:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1563) all_57_6 = e1
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1564) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1564) gives:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1565) all_57_6 = e3 & op(e1, e3) = e3
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1565) implies:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1566) all_57_6 = e3
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1563), (1566) are inconsistent by sub-proof
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2017.
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1567) all_57_7 = e3 & op(e1, e2) = e3
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1567) implies:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1568) all_57_7 = e3
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1569) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (39), (217), (374), (1496),
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1563), (1569), (function-axioms) are inconsistent
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2342.
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1570) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1570) gives:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1571) all_57_8 = e0 & op(e1, e1) = e0
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1571) implies:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1572) op(e1, e1) = e0
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1534), (1572), (function-axioms) are
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2427.
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1573) all_57_11 = e0 & op(e1, e0) = e0
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1573) implies:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1574) all_57_11 = e0
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (216), (1534), (1563), (1568),
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1574), (function-axioms) are inconsistent by
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1948.
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1575) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (374), (1496), (1575),
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2344.
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1576) all_57_12 = e1 & op(e0, e3) = e1
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (1552), (1576), (function-axioms) are
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1947.
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | (1577) all_55_10 = e0
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (1522), (1577) are inconsistent by
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2118.
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | (1578) all_24_2 = e0
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | (1579) ( ~ (all_24_0 = e2) & op(all_24_1, e1) = all_24_0
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_24_1 & $i(all_24_0) &
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e3) & op(e1, e0)
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (315), (1578) imply:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | (1580) all_6_2 = e0
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | SIMP: (1580) implies:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | (1581) all_6_2 = e0
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (311), (1581) imply:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | (1582) all_34_2 = e0
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1519), (1581) imply:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | (1583) ~ (all_52_13 = e0)
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (1581) imply:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | (1584) op(e1, e1) = e0
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (82), (199), (1497), (1512), (1514), (1518),
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | (1520), (1579), (1582), (1583), (1584),
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | | #1945.
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | | End of split
% 218.89/36.92 | | | | | | | | | | | | | | | | | | |
% 218.89/36.92 | | | | | | | | | | | | | | | | | | Case 2:
% 218.89/36.92 | | | | | | | | | | | | | | | | | | |
% 219.27/36.92 | | | | | | | | | | | | | | | | | | | (1585) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 219.27/36.92 | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 219.27/36.92 | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 219.27/36.92 | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 219.27/36.92 | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 219.27/36.92 | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 219.27/36.92 | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 219.27/36.92 | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 219.27/36.92 | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 219.27/36.92 | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 219.27/36.92 | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 219.27/36.92 | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 219.27/36.92 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 219.27/36.92 | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 219.27/36.92 | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 219.27/36.92 | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 219.27/36.92 | | | | | | | | | | | | | | | | | | |
% 219.27/36.92 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (401), (1497), (1501), (1585),
% 219.27/36.92 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.27/36.92 | | | | | | | | | | | | | | | | | | | #1944.
% 219.27/36.92 | | | | | | | | | | | | | | | | | | |
% 219.27/36.92 | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.92 | | | | | | | | | | | | | | | | | |
% 219.27/36.92 | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.92 | | | | | | | | | | | | | | | | | |
% 219.27/36.92 | | | | | | | | | | | | | | | | | | (1586) all_57_15 = e2 & op(e0, e0) = e2
% 219.27/36.92 | | | | | | | | | | | | | | | | | |
% 219.27/36.92 | | | | | | | | | | | | | | | | | | ALPHA: (1586) implies:
% 219.27/36.92 | | | | | | | | | | | | | | | | | | (1587) op(e0, e0) = e2
% 219.27/36.92 | | | | | | | | | | | | | | | | | |
% 219.27/36.92 | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (1587), (function-axioms) are
% 219.27/36.92 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2334.
% 219.27/36.92 | | | | | | | | | | | | | | | | | |
% 219.27/36.92 | | | | | | | | | | | | | | | | | End of split
% 219.27/36.92 | | | | | | | | | | | | | | | | |
% 219.27/36.92 | | | | | | | | | | | | | | | | End of split
% 219.27/36.92 | | | | | | | | | | | | | | | |
% 219.27/36.92 | | | | | | | | | | | | | | | Case 2:
% 219.27/36.92 | | | | | | | | | | | | | | | |
% 219.27/36.92 | | | | | | | | | | | | | | | | (1588) all_57_15 = e2 & op(e0, e0) = e2
% 219.27/36.92 | | | | | | | | | | | | | | | |
% 219.27/36.92 | | | | | | | | | | | | | | | | ALPHA: (1588) implies:
% 219.27/36.92 | | | | | | | | | | | | | | | | (1589) op(e0, e0) = e2
% 219.27/36.92 | | | | | | | | | | | | | | | |
% 219.27/36.92 | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (1589), (function-axioms) are
% 219.27/36.92 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2334.
% 219.27/36.92 | | | | | | | | | | | | | | | |
% 219.27/36.92 | | | | | | | | | | | | | | | End of split
% 219.27/36.92 | | | | | | | | | | | | | | |
% 219.27/36.92 | | | | | | | | | | | | | | End of split
% 219.27/36.92 | | | | | | | | | | | | | |
% 219.27/36.92 | | | | | | | | | | | | | End of split
% 219.27/36.92 | | | | | | | | | | | | |
% 219.27/36.92 | | | | | | | | | | | | Case 2:
% 219.27/36.92 | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | (1590) all_18_2 = e0
% 219.27/36.93 | | | | | | | | | | | | | (1591) ( ~ (all_18_0 = e1) & op(all_18_1, e3) = all_18_0
% 219.27/36.93 | | | | | | | | | | | | | & op(e3, e0) = all_18_1 & $i(all_18_0) &
% 219.27/36.93 | | | | | | | | | | | | | $i(all_18_1)) | ( ~ (all_18_1 = e2) & op(e3, e0)
% 219.27/36.93 | | | | | | | | | | | | | = all_18_1 & $i(all_18_1))
% 219.27/36.93 | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | COMBINE_EQS: (327), (1590) imply:
% 219.27/36.93 | | | | | | | | | | | | | (1592) all_10_2 = e0
% 219.27/36.93 | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | SIMP: (1592) implies:
% 219.27/36.93 | | | | | | | | | | | | | (1593) all_10_2 = e0
% 219.27/36.93 | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | COMBINE_EQS: (279), (1593) imply:
% 219.27/36.93 | | | | | | | | | | | | | (1594) all_48_2 = e0
% 219.27/36.93 | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | REDUCE: (338), (1593) imply:
% 219.27/36.93 | | | | | | | | | | | | | (1595) ~ (all_53_1 = e0)
% 219.27/36.93 | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | REDUCE: (340), (1593) imply:
% 219.27/36.93 | | | | | | | | | | | | | (1596) ~ (all_53_2 = e0)
% 219.27/36.93 | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | REDUCE: (342), (1593) imply:
% 219.27/36.93 | | | | | | | | | | | | | (1597) ~ (all_53_3 = e0)
% 219.27/36.93 | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | REDUCE: (344), (1593) imply:
% 219.27/36.93 | | | | | | | | | | | | | (1598) ~ (all_53_4 = e0)
% 219.27/36.93 | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | REDUCE: (346), (1593) imply:
% 219.27/36.93 | | | | | | | | | | | | | (1599) ~ (all_53_8 = e0)
% 219.27/36.93 | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | REDUCE: (348), (1593) imply:
% 219.27/36.93 | | | | | | | | | | | | | (1600) ~ (all_53_12 = e0)
% 219.27/36.93 | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | REDUCE: (376), (1593) imply:
% 219.27/36.93 | | | | | | | | | | | | | (1601) ~ (e1 = e0)
% 219.27/36.93 | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | BETA: splitting (230) gives:
% 219.27/36.93 | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | Case 1:
% 219.27/36.93 | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | (1602) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 219.27/36.93 | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 219.27/36.93 | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | BETA: splitting (1602) gives:
% 219.27/36.93 | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | Case 1:
% 219.27/36.93 | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | (1603) all_57_0 = e0 & op(e3, e3) = e0
% 219.27/36.93 | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | ALPHA: (1603) implies:
% 219.27/36.93 | | | | | | | | | | | | | | | (1604) all_57_0 = e0
% 219.27/36.93 | | | | | | | | | | | | | | | (1605) op(e3, e3) = e0
% 219.27/36.93 | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 219.27/36.93 | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | Case 1:
% 219.27/36.93 | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | (1606) ~ (all_24_2 = e0)
% 219.27/36.93 | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | REDUCE: (315), (1606) imply:
% 219.27/36.93 | | | | | | | | | | | | | | | | (1607) ~ (all_6_2 = e0)
% 219.27/36.93 | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 219.27/36.93 | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.93 | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | (1608) ~ (all_30_2 = e1)
% 219.27/36.93 | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | REDUCE: (330), (1608) imply:
% 219.27/36.93 | | | | | | | | | | | | | | | | | (1609) ~ (all_4_2 = e1)
% 219.27/36.93 | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 219.27/36.93 | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.93 | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | (1610) all_55_15 = e3
% 219.27/36.93 | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (1610) imply:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | (1611) all_4_2 = e3
% 219.27/36.93 | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | REDUCE: (378), (1611) imply:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | (1612) $false
% 219.27/36.93 | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | CLOSE: (1612) is inconsistent.
% 219.27/36.93 | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.93 | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | (1613) ~ (all_55_15 = e3)
% 219.27/36.93 | | | | | | | | | | | | | | | | | | (1614) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 219.27/36.93 | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | BETA: splitting (1614) gives:
% 219.27/36.93 | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | (1615) all_55_15 = e2
% 219.27/36.93 | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (1615) imply:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | (1616) all_4_2 = e2
% 219.27/36.93 | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | REDUCE: (373), (1616) imply:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | (1617) $false
% 219.27/36.93 | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | CLOSE: (1617) is inconsistent.
% 219.27/36.93 | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | (1618) ~ (all_55_15 = e2)
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | (1619) all_55_15 = e1 | all_55_15 = e0
% 219.27/36.93 | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | BETA: splitting (1619) gives:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | (1620) all_55_15 = e1
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (1620) imply:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | (1621) all_4_2 = e1
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (1609), (1621) imply:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | (1622) $false
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | CLOSE: (1622) is inconsistent.
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | (1623) all_55_15 = e0
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (1623) imply:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | (1624) all_4_2 = e0
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (1624) imply:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | (1625) ~ (all_53_7 = e0)
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (1624) imply:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | (1626) ~ (all_53_13 = e0)
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (378), (1624) imply:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | (1627) ~ (e3 = e0)
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (1624) imply:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | (1628) ~ (e2 = e0)
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (1624) imply:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | (1629) op(e0, e0) = e0
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | (1630) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (168), (401), (1595), (1630),
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | #1942.
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | (1631) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1631) gives:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | (1632) all_57_5 = e0 & op(e2, e1) = e0
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1632) implies:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | (1633) all_57_5 = e0
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | (1634) op(e2, e1) = e0
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | (1635) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (171), (401), (1598), (1635),
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | #1940.
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | (1636) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1636) gives:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | (1637) all_57_7 = e0 & op(e1, e2) = e0
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1637) implies:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | (1638) all_57_7 = e0
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | (1639) op(e1, e2) = e0
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_6, e0,
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (163), (1639) gives:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | (1640) all_53_6 = e0
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_9, e0,
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (166), (1634) gives:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | (1641) all_53_9 = e0
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (1640) imply:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | (1642) ~ (all_53_14 = e0)
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1642) implies:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | (1643) ~ (all_53_14 = e0)
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (1641) imply:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | (1644) ~ (all_53_11 = e0)
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1644) implies:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | (1645) ~ (all_53_11 = e0)
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (1641) imply:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | (1646) ~ (all_53_13 = e0)
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (1641) imply:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | (1647) ~ (all_6_2 = e0)
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | | (1648) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (1605), (1629), (1634), (1648),
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | | #1938.
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | (1649) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1649) gives:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (1650) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1650) implies:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (1651) op(e1, e2) = all_52_19
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (1652) op(all_52_19, all_52_19) = e2
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1629), (1639), (1651), (1652),
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | #2158.
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (1653) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1653) implies:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (1654) op(e0, e0) = all_52_31
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (1655) op(e0, e1) = all_52_29
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (1656) op(e0, e3) = all_52_25
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (1657) op(all_52_31, all_52_31) = e0
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (1658) op(all_52_29, all_52_29) = e1
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (1659) op(all_52_25, all_52_25) = e3
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_11,
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29, e1, e0, simplifying with (158), (1655)
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (1660) all_53_11 = all_52_29
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_3,
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_25, e3, e0, simplifying with (160), (1656)
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (1661) all_53_3 = all_52_25
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (1660) imply:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (1662) all_55_14 = all_52_29
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (1660) imply:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (1663) ~ (all_53_8 = all_52_29)
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (1660) imply:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (1664) ~ (all_52_29 = all_6_2)
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1645), (1660) imply:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (1665) ~ (all_52_29 = e0)
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1666) ~ (all_38_2 = e2)
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (249), (1666) imply:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1667) ~ (all_6_2 = e2)
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1668) all_55_10 = e3
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (374), (1668) are inconsistent by sub-proof
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2500.
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1669) ~ (all_55_10 = e3)
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1670) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1670) gives:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1671) all_55_10 = e2
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (1667), (1671) are inconsistent by
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2499.
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1672) ~ (all_55_10 = e2)
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1673) all_55_10 = e1 | all_55_10 = e0
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1673) gives:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1674) all_55_10 = e1
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (1674) imply:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1675) all_6_2 = e1
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1675) implies:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1676) all_6_2 = e1
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (1676) imply:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1677) ~ (all_53_2 = e1)
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (1676) imply:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1678) ~ (all_53_8 = e1)
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (1676) imply:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1679) ~ (all_53_14 = e1)
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1664), (1676) imply:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680) ~ (all_52_29 = e1)
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (374), (1676) imply:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1681) ~ (e3 = e1)
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1667), (1676) imply:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1682) ~ (e2 = e1)
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (1676) imply:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1683) op(e1, e1) = e1
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1684) all_55_4 = e3
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (1684) imply:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1685) all_53_1 = e3
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1685) implies:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1686) all_53_1 = e3
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (1686) imply:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1687) ~ (all_53_2 = e3)
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1687) implies:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1688) ~ (all_53_2 = e3)
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (1686) imply:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1689) ~ (all_53_13 = e3)
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1689) implies:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1690) ~ (all_53_13 = e3)
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1691) all_55_7 = e3
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (1690), (1691) are inconsistent by
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2109.
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1692) all_55_7 = e2 | all_55_7 = e1 | all_55_7 = e0
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1693) all_55_8 = e3
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (1688), (1693) are inconsistent by
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2496.
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1694) all_55_8 = e2 | all_55_8 = e1 | all_55_8 = e0
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1692) gives:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1695) all_55_7 = e2
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (1695) imply:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1696) all_53_13 = e2
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (395), (1696) imply:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1697) $false
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1697) is inconsistent.
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1698) all_55_7 = e1 | all_55_7 = e0
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1694) gives:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1699) all_55_8 = e2
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (1699) imply:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1700) all_53_2 = e2
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (142), (1700) imply:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1701) ~ (all_53_14 = e2)
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1701) implies:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1702) ~ (all_53_14 = e2)
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1703) all_55_11 = e3
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (1703) imply:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1704) all_53_14 = e3
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1704) implies:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1705) all_53_14 = e3
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (1705) imply:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1706) ~ (all_53_12 = e3)
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1698) gives:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1707) all_55_7 = e1
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (1707) imply:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1708) all_53_13 = e1
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1708) implies:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1709) all_53_13 = e1
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (1709) imply:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1710) ~ (all_53_12 = e1)
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1711) all_55_3 = e3
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (1706), (1711) are inconsistent by
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2169.
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1712) all_55_3 = e2 | all_55_3 = e1 | all_55_3 = e0
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1712) gives:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1713) all_55_3 = e2
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (1713) imply:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1714) all_53_12 = e2
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1714) implies:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1715) all_53_12 = e2
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (1715) imply:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1716) ~ (all_53_8 = e2)
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1717) all_55_2 = e3
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (1717) imply:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1718) all_53_8 = e3
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1718) implies:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1719) all_53_8 = e3
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1663), (1719) imply:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1720) ~ (all_52_29 = e3)
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1720) implies:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1721) ~ (all_52_29 = e3)
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (191), (401), (1658), (1662), (1665), (1680),
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1721), (function-axioms) are inconsistent by
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2025.
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1722) all_55_2 = e2 | all_55_2 = e1 | all_55_2 = e0
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (1599), (1678), (1716), (1722) are
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1937.
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1723) all_55_3 = e1 | all_55_3 = e0
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (1600), (1710), (1723) are inconsistent by
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2132.
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1724) all_55_7 = e0
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (1626), (1724) are inconsistent by
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2130.
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1725) all_55_11 = e2 | all_55_11 = e1 | all_55_11 = e0
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (1643), (1679), (1702), (1725) are
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2133.
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1726) all_55_8 = e1 | all_55_8 = e0
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (1596), (1677), (1726) are inconsistent by
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1974.
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1727) ~ (all_55_4 = e3)
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (267), (1727) imply:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1728) ~ (all_53_1 = e3)
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1729) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (401), (1728), (1729),
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2297.
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1730) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1730) gives:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1731) all_57_5 = e3 & op(e2, e1) = e3
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1633), (1731) are inconsistent by sub-proof
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1936.
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1732) all_57_10 = e3 & op(e2, e0) = e3
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1732) implies:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1733) all_57_10 = e3
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1734) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1734) gives:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1735) all_57_2 = e1 & op(e2, e3) = e1
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1735) implies:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1736) all_57_2 = e1
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1737) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 =
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1737) gives:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1738) all_57_9 = e1 & op(e3, e0) = e1
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1738) implies:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1739) all_57_9 = e1
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1740) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (171), (391), (1605), (1740),
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1935.
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1741) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1741) gives:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1742) all_57_4 = e2 & op(e3, e1) = e2
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1742) implies:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1743) all_57_4 = e2
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1744) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1744) gives:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1745) all_57_4 = e3 & op(e3, e1) = e3
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1745) implies:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1746) all_57_4 = e3
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1743), (1746) are inconsistent by sub-proof
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2482.
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1747) all_57_5 = e3 & op(e2, e1) = e3
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1747) implies:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1748) all_57_5 = e3
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (165), (222), (401), (1626),
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1736), (1748), (function-axioms) are inconsistent
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2469.
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1749) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (39), (374), (1605), (1655), (1658), (1749),
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1933.
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1750) all_57_9 = e2 & op(e3, e0) = e2
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1739), (1750) are inconsistent by sub-proof
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2481.
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1751) all_57_10 = e1 & op(e2, e0) = e1
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1751) implies:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1752) all_57_10 = e1
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1733), (1752) are inconsistent by sub-proof
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2248.
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1753) (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 =
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1753) gives:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1754) all_57_11 = e1 & op(e1, e0) = e1
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1754) implies:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1755) all_57_11 = e1
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (39), (216), (217),
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (1638), (1683), (1755), (function-axioms)
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1931.
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1756) all_57_15 = e1 & op(e0, e0) = e1
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1756) implies:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1757) op(e0, e0) = e1
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (1607), (1654), (1657), (1757),
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2086.
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1758) all_57_3 = e1 & op(e2, e2) = e1
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1758) implies:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1759) op(e2, e2) = e1
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (401), (1759), (function-axioms) are
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1760) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1760) gives:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1761) all_57_5 = e1 & op(e2, e1) = e1
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1633), (1761) are inconsistent by sub-proof
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2361.
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1762) all_57_10 = e1 & op(e2, e0) = e1
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1762) implies:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1763) all_57_10 = e1
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1733), (1763) are inconsistent by sub-proof
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2248.
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1764) all_55_10 = e0
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (1607), (1764) are inconsistent by
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2118.
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1765) all_38_2 = e2
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (1765) imply:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1766) all_6_2 = e2
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (1766) imply:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1767) op(e1, e1) = e2
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1768) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (171), (391), (1605), (1768),
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1935.
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1769) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1769) gives:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1770) all_57_4 = e2 & op(e3, e1) = e2
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (9), (39), (221), (374), (1605), (1633),
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1655), (1658), (1770), (function-axioms) are
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1930.
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1771) all_57_9 = e2 & op(e3, e0) = e2
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1771) implies:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1772) all_57_9 = e2
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1773) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_2 = e2
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (168), (390), (1605), (1773),
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1929.
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1774) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_12 =
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1774) gives:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1775) all_57_6 = e2 & op(e1, e3) = e2
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1775) implies:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1776) all_57_6 = e2
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1777) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1777) gives:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1778) all_57_12 = e2 & op(e0, e3) = e2
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1778) implies:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1779) all_57_12 = e2
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (232), (236),
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1604), (1776), (1779), (function-axioms) are
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1926.
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1780) all_57_13 = e2 & op(e0, e2) = e2
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1780) implies:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1781) op(e0, e2) = e2
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (393), (1781), (function-axioms) are
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2335.
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1782) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1782) gives:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1783) all_57_14 = e2 & op(e0, e1) = e2
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1783) implies:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1784) all_57_14 = e2
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1785) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1785) gives:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1786) all_57_4 = e3 & op(e3, e1) = e3
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1786) implies:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1787) all_57_4 = e3
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1788) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1788) gives:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1789) all_57_6 = e3 & op(e1, e3) = e3
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1789) implies:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1790) all_57_6 = e3
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1776), (1790) imply:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1791) e3 = e2
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1791) implies:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1792) e3 = e2
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1787), (1792) imply:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1793) all_57_4 = e2
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (219),
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (374), (1784), (1793),
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2370.
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1794) all_57_7 = e3 & op(e1, e2) = e3
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1794) implies:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1795) all_57_7 = e3
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1638), (1795) are inconsistent by sub-proof
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2269.
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1796) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1796) gives:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1797) all_57_8 = e3 & op(e1, e1) = e3
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1797) implies:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1798) op(e1, e1) = e3
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (1798), (function-axioms) are
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1799) all_57_11 = e3 & op(e1, e0) = e3
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1799) implies:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1800) all_57_11 = e3
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1801) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 =
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1801) gives:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1802) all_57_9 = e1 & op(e3, e0) = e1
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1772), (1802) are inconsistent by sub-proof
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2451.
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1803) all_57_10 = e1 & op(e2, e0) = e1
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1803) implies:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1804) all_57_10 = e1
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1805) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1805) gives:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1806) all_57_2 = e3 & op(e2, e3) = e3
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1806) implies:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1807) all_57_2 = e3
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1808) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1808) gives:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1809) all_57_0 = e1 & op(e3, e3) = e1
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1604), (1809) are inconsistent by sub-proof
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2454.
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1810) all_57_2 = e1 & op(e2, e3) = e1
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1810) implies:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1811) all_57_2 = e1
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1807), (1811) imply:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1812) e3 = e1
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1787), (1812) imply:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1813) all_57_4 = e1
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (218), (221),
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (1607), (1784), (1813), (function-axioms)
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2408.
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1814) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1814) gives:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1815) all_57_6 = e1 & op(e1, e3) = e1
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1776), (1815) are inconsistent by sub-proof
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2389.
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1816) all_57_12 = e1 & op(e0, e3) = e1
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1816) implies:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1817) all_57_12 = e1
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1818) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1818) gives:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1819) all_57_6 = e1 & op(e1, e3) = e1
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1819) implies:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1820) all_57_6 = e1
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (1605), (1807), (1817),
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1820), (function-axioms) are inconsistent by
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1923.
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1821) all_57_7 = e1 & op(e1, e2) = e1
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1821) implies:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1822) all_57_7 = e1
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1638), (1822) are inconsistent by sub-proof
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2211.
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1823) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1823) gives:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1824) all_57_8 = e1 & op(e1, e1) = e1
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1824) implies:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1825) op(e1, e1) = e1
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1767), (1825), (function-axioms) are
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2423.
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1826) all_57_11 = e1 & op(e1, e0) = e1
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1826) implies:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1827) all_57_11 = e1
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1800), (1827) imply:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1828) e3 = e1
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1828) implies:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1829) e3 = e1
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1787), (1829) imply:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1830) all_57_4 = e1
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (218), (221),
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (1607), (1784), (1830), (function-axioms)
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2408.
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1831) all_57_3 = e3 & op(e2, e2) = e3
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1831) implies:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1832) op(e2, e2) = e3
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (401), (1832), (function-axioms) are
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2298.
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1833) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1833) gives:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1834) all_57_5 = e3 & op(e2, e1) = e3
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1834) implies:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1835) all_57_5 = e3
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1633), (1835) are inconsistent by sub-proof
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2471.
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1836) all_57_10 = e3 & op(e2, e0) = e3
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1836) implies:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1837) all_57_10 = e3
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1804), (1837) imply:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1838) e3 = e1
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1838) implies:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1839) e3 = e1
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1787), (1839) imply:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1840) all_57_4 = e1
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (218), (221),
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (1607), (1784), (1840), (function-axioms)
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2408.
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1841) (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 =
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1841) gives:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1842) all_57_11 = e1 & op(e1, e0) = e1
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1842) implies:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1843) all_57_11 = e1
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1800), (1843) imply:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1844) e3 = e1
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1787), (1844) imply:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1845) all_57_4 = e1
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (218), (221),
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (1607), (1784), (1845), (function-axioms)
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2408.
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1846) all_57_15 = e1 & op(e0, e0) = e1
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1846) implies:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1847) op(e0, e0) = e1
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (1607), (1654), (1657), (1847),
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2086.
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1848) all_57_5 = e3 & op(e2, e1) = e3
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1848) implies:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1849) all_57_5 = e3
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1633), (1849) are inconsistent by sub-proof
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2471.
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1850) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (39), (374), (1605), (1655), (1658), (1850),
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1933.
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1851) all_57_15 = e2 & op(e0, e0) = e2
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1851) implies:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1852) op(e0, e0) = e2
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (1852), (function-axioms) are
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2334.
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1853) all_57_12 = e2 & op(e0, e3) = e2
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1853) implies:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1854) all_57_12 = e2
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1855) op(e0, e3) = e2
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1856) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_7 = e2
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1856) gives:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1857) all_57_6 = e2 & op(e1, e3) = e2
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1857) implies:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1858) all_57_6 = e2
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (232), (236),
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1604), (1854), (1858), (function-axioms) are
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1926.
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1859) all_57_7 = e2 & op(e1, e2) = e2
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1859) implies:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1860) all_57_7 = e2
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1638), (1860) are inconsistent by sub-proof
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2207.
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1861) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_11 =
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1861) gives:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_25,
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, e0, simplifying with (1656), (1855) gives:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1862) all_52_25 = e2
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1659), (1862) imply:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1863) op(e2, e2) = e3
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (401), (1863), (function-axioms) are
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2298.
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1864) all_57_11 = e2 & op(e1, e0) = e2
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1864) implies:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1865) all_57_11 = e2
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1866) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1866) gives:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1867) all_57_6 = e3 & op(e1, e3) = e3
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1867) implies:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1868) all_57_6 = e3
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1869) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1869) gives:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1870) all_57_6 = e1 & op(e1, e3) = e1
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1870) implies:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1871) all_57_6 = e1
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (39), (161), (214), (217),
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (1607), (1643), (1865), (1871),
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2340.
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1872) all_57_7 = e1 & op(e1, e2) = e1
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1872) implies:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1873) all_57_7 = e1
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1638), (1873) are inconsistent by sub-proof
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2211.
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1874) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1874) gives:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1875) all_57_8 = e1 & op(e1, e1) = e1
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1875) implies:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1876) op(e1, e1) = e1
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1767), (1876), (function-axioms) are
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2423.
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1877) all_57_11 = e1 & op(e1, e0) = e1
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1877) implies:
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1878) all_57_11 = e1
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1865), (1878) imply:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1879) e2 = e1
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1879) implies:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1880) e2 = e1
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1854), (1880) imply:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1881) all_57_12 = e1
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (168), (234), (390), (1605),
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1868), (1881), (function-axioms) are inconsistent
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1921.
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1882) all_57_7 = e3 & op(e1, e2) = e3
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1882) implies:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1883) all_57_7 = e3
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1638), (1883) are inconsistent by sub-proof
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2269.
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1884) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (374), (1865), (1884),
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2040.
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | (1885) all_57_13 = e0 & op(e0, e2) = e0
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1885) implies:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | (1886) op(e0, e2) = e0
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (1625), (1886), (function-axioms) are
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2332.
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | (1887) all_57_10 = e0 & op(e2, e0) = e0
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1887) implies:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | (1888) op(e2, e0) = e0
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1626), (1888), (function-axioms) are
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2470.
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.98 | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.98 | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | End of split
% 219.27/36.98 | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.98 | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | (1889) all_30_2 = e1
% 219.27/36.98 | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (1889) imply:
% 219.27/36.98 | | | | | | | | | | | | | | | | | (1890) all_4_2 = e1
% 219.27/36.98 | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | SIMP: (1890) implies:
% 219.27/36.98 | | | | | | | | | | | | | | | | | (1891) all_4_2 = e1
% 219.27/36.98 | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | REDUCE: (351), (1891) imply:
% 219.27/36.98 | | | | | | | | | | | | | | | | | (1892) ~ (all_53_3 = e1)
% 219.27/36.98 | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | REDUCE: (370), (1891) imply:
% 219.27/36.98 | | | | | | | | | | | | | | | | | (1893) ~ (all_53_12 = e1)
% 219.27/36.98 | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | REDUCE: (371), (1891) imply:
% 219.27/36.98 | | | | | | | | | | | | | | | | | (1894) ~ (all_53_13 = e1)
% 219.27/36.98 | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | REDUCE: (378), (1891) imply:
% 219.27/36.98 | | | | | | | | | | | | | | | | | (1895) ~ (e3 = e1)
% 219.27/36.98 | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | REDUCE: (373), (1891) imply:
% 219.27/36.98 | | | | | | | | | | | | | | | | | (1896) ~ (e2 = e1)
% 219.27/36.98 | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | REDUCE: (36), (1891) imply:
% 219.27/36.98 | | | | | | | | | | | | | | | | | (1897) op(e0, e0) = e1
% 219.27/36.98 | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 219.27/36.98 | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.98 | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | (1898) ~ (all_38_2 = e2)
% 219.27/36.98 | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | REDUCE: (249), (1898) imply:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | (1899) ~ (all_6_2 = e2)
% 219.27/36.98 | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 219.27/36.98 | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | (1900) all_55_10 = e3
% 219.27/36.98 | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (374), (1900) are inconsistent by sub-proof
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | #2500.
% 219.27/36.98 | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | (1901) ~ (all_55_10 = e3)
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | (1902) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 219.27/36.98 | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | BETA: splitting (1902) gives:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | (1903) all_55_10 = e2
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (1899), (1903) are inconsistent by
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | sub-proof #2499.
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | (1904) ~ (all_55_10 = e2)
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | (1905) all_55_10 = e1 | all_55_10 = e0
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1905) gives:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | (1906) all_55_10 = e1
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (1906) imply:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | (1907) all_6_2 = e1
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | SIMP: (1907) implies:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | (1908) all_6_2 = e1
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (1908) imply:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | (1909) ~ (all_53_6 = e1)
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (1908) imply:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | (1910) ~ (all_53_9 = e1)
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (1908) imply:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | (1911) ~ (all_53_14 = e1)
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (1908) imply:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | (1912) op(e1, e1) = e1
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | (1913) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1913) gives:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | (1914) all_57_1 = e1 & op(e3, e2) = e1
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1914) implies:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | (1915) all_57_1 = e1
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | (1916) op(e3, e2) = e1
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | (1917) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1917) gives:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | (1918) all_57_0 = e1 & op(e3, e3) = e1
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1604), (1918) are inconsistent by sub-proof
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | #2454.
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | (1919) all_57_2 = e1 & op(e2, e3) = e1
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1919) implies:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | (1920) op(e2, e3) = e1
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_1, e1,
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (168), (1920) gives:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | (1921) all_53_1 = e1
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_4, e1,
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (171), (1916) gives:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | (1922) all_53_4 = e1
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (1921) imply:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | (1923) ~ (all_53_3 = e1)
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (1921) imply:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | (1924) ~ (all_53_9 = e1)
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (1921) imply:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | (1925) ~ (all_53_13 = e1)
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (1922) imply:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | (1926) ~ (all_53_12 = e1)
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (1927) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1927) gives:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1928) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1928) implies:
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1929) op(e3, e3) = all_52_1
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1930) op(all_52_1, all_52_1) = e3
% 219.27/36.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (160), (207),
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (393), (1597), (1605),
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1892), (1897), (1929), (1930), (function-axioms)
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1915.
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1931) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (1920), (1931), (function-axioms) are
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2110.
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (1932) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1932) gives:
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1933) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1933) implies:
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1934) op(e1, e0) = all_52_23
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1935) op(e1, e1) = all_52_21
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1936) op(all_52_23, all_52_23) = e0
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_14,
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_23, e0, e1, simplifying with (161), (1934)
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1937) all_53_14 = all_52_23
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21, e1, e1, simplifying with (1912), (1935)
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1938) all_52_21 = e1
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (1937) imply:
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1939) all_55_11 = all_52_23
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (1937) imply:
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1940) ~ (all_53_12 = all_52_23)
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (1937) imply:
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1941) ~ (all_53_13 = all_52_23)
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1911), (1937) imply:
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1942) ~ (all_52_23 = e1)
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1943) all_55_7 = e3
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (1943) imply:
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1944) all_53_13 = e3
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1944) implies:
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1945) all_53_13 = e3
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (1945) imply:
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1946) ~ (all_53_12 = e3)
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1941), (1945) imply:
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1947) ~ (all_52_23 = e3)
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1947) implies:
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1948) ~ (all_52_23 = e3)
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (194), (202), (268), (1600), (1893), (1897),
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1936), (1939), (1940), (1942), (1946), (1948),
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1913.
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1949) ~ (all_55_7 = e3)
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (258), (1949) imply:
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1950) ~ (all_53_13 = e3)
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1951) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1951) gives:
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1952) all_57_2 = e3 & op(e2, e3) = e3
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1952) implies:
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1953) all_57_2 = e3
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (166), (223),
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (228), (229), (1894), (1910), (1915),
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1953), (function-axioms) are inconsistent by
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1907.
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.27/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1954) all_57_3 = e3 & op(e2, e2) = e3
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1954) implies:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1955) op(e2, e2) = e3
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (401), (1955), (function-axioms) are
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2298.
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1956) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1956) gives:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1957) all_57_5 = e3 & op(e2, e1) = e3
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1957) implies:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1958) all_57_5 = e3
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1959) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (1599), (1958), (1959),
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1906.
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1960) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1960) gives:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1961) all_57_8 = e0 & op(e1, e1) = e0
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1961) implies:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1962) op(e1, e1) = e0
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1912), (1962), (function-axioms) are
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2427.
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1963) all_57_14 = e0 & op(e0, e1) = e0
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1963) implies:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1964) all_57_14 = e0
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1965) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1965) gives:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1966) all_57_12 = e2 & op(e0, e3) = e2
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1966) implies:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1967) all_57_12 = e2
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1968) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 =
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1968) gives:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1969) all_57_12 = e3 & op(e0, e3) = e3
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1969) implies:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1970) all_57_12 = e3
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1967), (1970) are inconsistent by sub-proof
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2392.
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1971) all_57_13 = e3 & op(e0, e2) = e3
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1971) implies:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1972) all_57_13 = e3
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1973) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_1 = e3
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1973) gives:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1974) all_57_0 = e3 & op(e3, e3) = e3
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1974) implies:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1975) op(e3, e3) = e3
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1605), (1975), (function-axioms) are
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2494.
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1976) all_57_1 = e3 & op(e3, e2) = e3
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1976) implies:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1977) all_57_1 = e3
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1915), (1977) imply:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1978) e3 = e1
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1978) implies:
% 219.56/36.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1979) e3 = e1
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1972), (1979) imply:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1980) all_57_13 = e1
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (209), (210), (1897),
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1964), (1980), (function-axioms) are inconsistent
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2068.
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1981) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_9 = e3
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1981) gives:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1982) all_57_4 = e3 & op(e3, e1) = e3
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (218), (219),
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (1599), (1912), (1958), (1982),
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1903.
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1983) all_57_9 = e3 & op(e3, e0) = e3
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (165), (212), (395), (401), (1897),
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1934), (1936), (1983), (function-axioms) are
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1901.
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1984) (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 =
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1984) gives:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1985) all_57_14 = e3 & op(e0, e1) = e3
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1985) implies:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1986) all_57_14 = e3
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1964), (1986) are inconsistent by sub-proof
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2420.
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1987) all_57_15 = e3 & op(e0, e0) = e3
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1987) implies:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1988) op(e0, e0) = e3
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1897), (1988), (function-axioms) are
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2183.
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1989) all_57_13 = e2 & op(e0, e2) = e2
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1989) implies:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1990) op(e0, e2) = e2
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (393), (1990), (function-axioms) are
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2335.
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1991) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (1897), (1964), (1991),
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2073.
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1992) all_57_10 = e3 & op(e2, e0) = e3
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1992) implies:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1993) op(e2, e0) = e3
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1950), (1993), (function-axioms) are
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2301.
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1994) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1994) implies:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1995) op(e0, e0) = all_52_31
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1996) op(all_52_31, all_52_31) = e0
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (1607), (1897), (1995), (1996),
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2086.
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | (1997) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1997) gives:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | (1998) all_57_6 = e1 & op(e1, e3) = e1
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1998) implies:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | (1999) all_57_6 = e1
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (2000) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_2 = e2
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (168), (390), (1605), (2000),
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | #1929.
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (2001) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_12 =
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2001) gives:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2002) all_57_6 = e2 & op(e1, e3) = e2
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2002) implies:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2003) all_57_6 = e2
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1999), (2003) are inconsistent by sub-proof
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2233.
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2004) all_57_12 = e2 & op(e0, e3) = e2
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2004) implies:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2005) all_57_12 = e2
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2006) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_2 = e3
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2006) gives:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2007) all_57_0 = e3 & op(e3, e3) = e3
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2007) implies:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2008) op(e3, e3) = e3
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1605), (2008), (function-axioms) are
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2494.
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2009) all_57_2 = e3 & op(e2, e3) = e3
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2009) implies:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2010) all_57_2 = e3
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (166), (223),
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (228), (229), (1894), (1910), (1915),
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2010), (function-axioms) are inconsistent by
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1907.
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2011) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_12 =
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2011) gives:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2012) all_57_6 = e3 & op(e1, e3) = e3
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2012) implies:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2013) all_57_6 = e3
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1999), (2013) are inconsistent by sub-proof
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2017.
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2014) all_57_12 = e3 & op(e0, e3) = e3
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2014) implies:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2015) all_57_12 = e3
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2005), (2015) are inconsistent by sub-proof
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2392.
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | (2016) all_57_12 = e1 & op(e0, e3) = e1
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (1892), (2016), (function-axioms) are
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1947.
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | (2017) all_57_3 = e1 & op(e2, e2) = e1
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2017) implies:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | (2018) op(e2, e2) = e1
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (401), (2018), (function-axioms) are
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | (2019) (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_13 =
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2019) gives:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | (2020) all_57_7 = e1 & op(e1, e2) = e1
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (1909), (2020), (function-axioms) are
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2265.
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.00 | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | (2021) all_57_13 = e1 & op(e0, e2) = e1
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2021) implies:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | (2022) all_57_13 = e1
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (207), (209),
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | (210), (1597), (1897), (2022), (function-axioms)
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1918.
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | (2023) all_55_10 = e0
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (1607), (2023) are inconsistent by
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | sub-proof #2118.
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.01 | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.01 | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.01 | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | (2024) all_38_2 = e2
% 219.56/37.01 | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (2024) imply:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | (2025) all_6_2 = e2
% 219.56/37.01 | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | REDUCE: (350), (2025) imply:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | (2026) ~ (all_53_2 = e2)
% 219.56/37.01 | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | REDUCE: (39), (2025) imply:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | (2027) op(e1, e1) = e2
% 219.56/37.01 | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 219.56/37.01 | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | (2028) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 219.56/37.01 | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | BETA: splitting (2028) gives:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | (2029) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | ALPHA: (2029) implies:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | (2030) op(e3, e3) = all_52_1
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | (2031) op(all_52_1, all_52_1) = e3
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (160), (207),
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (393), (1597), (1605),
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | (1892), (1897), (2030), (2031), (function-axioms)
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1915.
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | (2032) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | ALPHA: (2032) implies:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | (2033) op(e2, e0) = all_52_15
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | (2034) op(e2, e3) = all_52_9
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | (2035) op(all_52_15, all_52_15) = e0
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | (2036) op(all_52_9, all_52_9) = e3
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (103), (159), (160),
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | (165), (168), (169), (201), (207), (208), (209),
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | (210), (212), (267), (390), (393), (395), (1591),
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | (1594), (1595), (1597), (1600), (1605), (1892),
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | (1897), (2033), (2034), (2035), (2036),
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | #1894.
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.01 | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | (2037) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 219.56/37.01 | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | BETA: splitting (2037) gives:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | (2038) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | ALPHA: (2038) implies:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | (2039) op(e1, e0) = all_52_23
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | (2040) op(e1, e1) = all_52_21
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | (2041) op(e1, e3) = all_52_17
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | (2042) op(all_52_23, all_52_23) = e0
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | (2043) op(all_52_21, all_52_21) = e1
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | (2044) op(all_52_17, all_52_17) = e3
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | (2045) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2045) gives:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | (2046) all_57_9 = e2 & op(e3, e0) = e2
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2046) implies:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | (2047) all_57_9 = e2
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | (2048) op(e3, e0) = e2
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | (2049) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2049) gives:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | (2050) all_57_12 = e2 & op(e0, e3) = e2
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2050) implies:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | (2051) all_57_12 = e2
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | (2052) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_5 = e2
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2052) gives:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (2053) all_57_4 = e2 & op(e3, e1) = e2
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2053) implies:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (2054) all_57_4 = e2
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2055) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_1 = e3
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (233), (1604), (1605), (2047),
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2054), (2055), (function-axioms) are inconsistent
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2449.
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2056) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_9 = e3
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2056) gives:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2057) all_57_4 = e3 & op(e3, e1) = e3
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2057) implies:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2058) all_57_4 = e3
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2054), (2058) are inconsistent by sub-proof
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2482.
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2059) all_57_9 = e3 & op(e3, e0) = e3
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (165), (212), (395), (401), (1897),
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2039), (2042), (2059), (function-axioms) are
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1901.
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (2060) all_57_5 = e2 & op(e2, e1) = e2
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2060) implies:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (2061) all_57_5 = e2
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2062) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2062) gives:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2063) all_57_4 = e1 & op(e3, e1) = e1
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2063) implies:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2064) all_57_4 = e1
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2065) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (168), (401), (1595), (2065),
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1942.
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2066) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2066) gives:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2067) all_57_5 = e0 & op(e2, e1) = e0
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2061), (2067) are inconsistent by sub-proof
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2428.
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2068) all_57_10 = e0 & op(e2, e0) = e0
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2068) implies:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2069) all_57_10 = e0
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2070) op(e2, e0) = e0
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2071) (all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 =
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2071) gives:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2072) all_57_9 = e3 & op(e3, e0) = e3
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (165), (212), (395), (401), (1897),
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2039), (2042), (2072), (function-axioms) are
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1901.
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2073) all_57_10 = e3 & op(e2, e0) = e3
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2073) implies:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2074) all_57_10 = e3
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2069), (2074) are inconsistent by sub-proof
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1989.
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2075) (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 =
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2075) gives:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2076) all_57_11 = e3 & op(e1, e0) = e3
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2076) implies:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2077) all_57_11 = e3
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2078) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2078) gives:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2079) all_57_4 = e0 & op(e3, e1) = e0
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2079) implies:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2080) op(e3, e1) = e0
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (1599), (2080), (function-axioms) are
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2081) all_57_5 = e0 & op(e2, e1) = e0
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2061), (2081) are inconsistent by sub-proof
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2428.
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2082) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2082) gives:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2083) all_57_8 = e0 & op(e1, e1) = e0
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2083) implies:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2084) op(e1, e1) = e0
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2085) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2085) gives:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2086) all_57_2 = e1 & op(e2, e3) = e1
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2086) implies:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2087) all_57_2 = e1
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2062) gives:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (207),
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (221), (225), (374), (393), (401),
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1897), (2061), (2064), (2069), (2087),
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1887.
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2088) all_57_5 = e1 & op(e2, e1) = e1
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2061), (2088) are inconsistent by sub-proof
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1886.
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2089) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2089) gives:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2090) all_57_8 = e1 & op(e1, e1) = e1
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2090) implies:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2091) op(e1, e1) = e1
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2084), (2091), (function-axioms) are
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2427.
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2092) all_57_14 = e1 & op(e0, e1) = e1
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2092) implies:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2093) all_57_14 = e1
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (207), (209),
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (393), (1897), (2093), (function-axioms)
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2175.
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2094) all_57_3 = e1 & op(e2, e2) = e1
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2094) implies:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2095) op(e2, e2) = e1
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (401), (2095), (function-axioms) are
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2096) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2096) gives:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2097) all_57_5 = e1 & op(e2, e1) = e1
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2097) implies:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2098) all_57_5 = e1
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2061), (2098) are inconsistent by sub-proof
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1885.
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2099) all_57_10 = e1 & op(e2, e0) = e1
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2069), (2099) are inconsistent by sub-proof
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2242.
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2100) all_57_14 = e0 & op(e0, e1) = e0
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2100) implies:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2101) all_57_14 = e0
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2102) all_57_15 = e0 & op(e0, e0) = e0
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2102) implies:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2103) all_57_15 = e0
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2104) op(e0, e0) = e0
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (159), (208),
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (373), (393), (2101), (2103),
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2104), (function-axioms) are inconsistent by
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2120.
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2105) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2105) implies:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2106) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2107) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 =
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2107) gives:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2108) all_57_12 = e3 & op(e0, e3) = e3
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2108) implies:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2109) all_57_12 = e3
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2051), (2109) are inconsistent by sub-proof
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2392.
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2110) all_57_13 = e3 & op(e0, e2) = e3
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2110) implies:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2111) all_57_13 = e3
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2112) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 219.56/37.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (171), (401), (1598), (2112),
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1940.
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2113) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2113) gives:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2114) all_57_7 = e0 & op(e1, e2) = e0
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2114) implies:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2115) all_57_7 = e0
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2116) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2116) gives:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2117) all_57_1 = e1 & op(e3, e2) = e1
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2117) implies:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2118) all_57_1 = e1
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2119) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2119) gives:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2120) all_57_2 = e1 & op(e2, e3) = e1
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2120) implies:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2121) all_57_2 = e1
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (207),
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (221), (225), (374), (393), (401),
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1897), (2061), (2064), (2069), (2121),
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1887.
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2122) all_57_3 = e1 & op(e2, e2) = e1
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2122) implies:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2123) op(e2, e2) = e1
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (228), (229),
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2118), (2123), (function-axioms) are inconsistent
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1908.
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2124) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2124) gives:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2125) all_57_5 = e1 & op(e2, e1) = e1
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2125) implies:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2126) all_57_5 = e1
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2061), (2126) imply:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2127) e2 = e1
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2127) implies:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2128) e2 = e1
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2051), (2128) imply:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2129) all_57_12 = e1
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (209), (1897), (2101), (2111),
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2129), (function-axioms) are inconsistent by
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2072.
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2130) all_57_10 = e1 & op(e2, e0) = e1
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1894), (2130), (function-axioms) are
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2084.
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2131) all_57_3 = e1 & op(e2, e2) = e1
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2131) implies:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2132) op(e2, e2) = e1
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (401), (2132), (function-axioms) are
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2133) (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_13 =
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2133) gives:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2134) all_57_7 = e1 & op(e1, e2) = e1
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2134) implies:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2135) all_57_7 = e1
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2115), (2135) imply:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2136) e1 = e0
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2064), (2136) imply:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2137) all_57_4 = e0
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (219), (220),
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (374), (2101), (2137), (function-axioms)
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2371.
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2138) all_57_13 = e1 & op(e0, e2) = e1
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2138) implies:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2139) all_57_13 = e1
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (209), (210),
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1597), (1897), (2106), (2139), (function-axioms)
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1919.
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2140) all_57_13 = e0 & op(e0, e2) = e0
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2140) implies:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2141) op(e0, e2) = e0
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (36), (107), (111), (113), (114), (127),
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (129), (134), (136), (137), (141), (142), (144),
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (161), (163), (164), (165), (190),
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (194), (196), (197), (202), (204), (207), (208),
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (244), (248), (256), (257), (268),
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (270), (351), (370), (371), (372), (373), (378),
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (391), (392), (393), (395), (401), (1596), (1605),
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2070), (2141), (function-axioms) are inconsistent
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1875.
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2142) (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 =
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2142) gives:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2143) all_57_14 = e3 & op(e0, e1) = e3
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2101), (2143) are inconsistent by sub-proof
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2338.
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2144) all_57_15 = e3 & op(e0, e0) = e3
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2144) implies:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2145) all_57_15 = e3
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (211), (212), (2069),
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2077), (2145) are inconsistent by sub-proof
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2137.
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2146) all_57_15 = e3 & op(e0, e0) = e3
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2146) implies:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2147) op(e0, e0) = e3
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1897), (2147), (function-axioms) are
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2183.
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2148) all_57_5 = e1 & op(e2, e1) = e1
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2061), (2148) are inconsistent by sub-proof
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1886.
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2149) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2149) gives:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2150) all_57_8 = e1 & op(e1, e1) = e1
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2150) implies:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2151) op(e1, e1) = e1
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2027), (2151), (function-axioms) are
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2423.
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2152) all_57_14 = e1 & op(e0, e1) = e1
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2152) implies:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2153) all_57_14 = e1
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (207), (210), (1897),
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2051), (2153), (function-axioms) are inconsistent
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2179.
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | (2154) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_14 =
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2154) gives:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (2155) all_57_8 = e2 & op(e1, e1) = e2
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (401), (1893), (2027), (2040), (2043),
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (2048), (function-axioms) are inconsistent by
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1874.
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (2156) all_57_14 = e2 & op(e0, e1) = e2
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2156) implies:
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (2157) all_57_14 = e2
% 219.56/37.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (160),
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (209), (210), (218), (219), (220), (221),
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (393), (1597), (1607), (1897), (2027),
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (2051), (2157), (function-axioms) are inconsistent
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1870.
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | (2158) all_57_13 = e2 & op(e0, e2) = e2
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2158) implies:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | (2159) op(e0, e2) = e2
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (393), (2159), (function-axioms) are
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2335.
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | (2160) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2160) gives:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | (2161) all_57_14 = e2 & op(e0, e1) = e2
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2161) implies:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | (2162) all_57_14 = e2
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | (2163) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_2 = e2
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2163) gives:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (2164) all_57_0 = e2 & op(e3, e3) = e2
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2164) implies:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (2165) op(e3, e3) = e2
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (150), (164), (190), (197), (201), (244),
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (257), (267), (374), (378), (390), (1595), (1596),
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (2026), (2041), (2044), (2165), (function-axioms)
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1864.
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (2166) all_57_2 = e2 & op(e2, e3) = e2
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (390), (2166), (function-axioms) are
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2504.
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | (2167) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_12 =
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2167) gives:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (2168) all_57_6 = e2 & op(e1, e3) = e2
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2168) implies:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (2169) all_57_6 = e2
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2170) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2170) gives:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2171) all_57_0 = e1 & op(e3, e3) = e1
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1604), (2171) are inconsistent by sub-proof
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2454.
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2172) all_57_2 = e1 & op(e2, e3) = e1
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2172) implies:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2173) all_57_2 = e1
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2174) all_57_15 = e0 & op(e0, e0) = e0
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2174) implies:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2175) op(e0, e0) = e0
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1897), (2175), (function-axioms) are
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2290.
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2176) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2176) implies:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2177) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2178) (all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 & op(e1,
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2177) gives:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2179) all_57_12 = e0 & op(e0, e3) = e0
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2179) implies:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2180) op(e0, e3) = e0
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (1597), (2180), (function-axioms) are
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2366.
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2181) (all_57_13 = e0 & op(e0, e2) = e0) | (all_57_14 =
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2181) gives:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2182) all_57_13 = e0 & op(e0, e2) = e0
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2182) implies:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2183) op(e0, e2) = e0
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2184) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_2 = e3
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2184) gives:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2185) all_57_0 = e3 & op(e3, e3) = e3
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2185) implies:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2186) op(e3, e3) = e3
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (207),
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (218), (219), (221), (230), (231),
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (235), (374), (393), (1607), (1897),
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2027), (2169), (2186), (function-axioms) are
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2081.
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2187) all_57_2 = e3 & op(e2, e3) = e3
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2187) implies:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2188) all_57_2 = e3
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2173), (2188) are inconsistent by sub-proof
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2397.
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2189) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_12 =
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2189) gives:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2190) all_57_6 = e3 & op(e1, e3) = e3
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2190) implies:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2191) all_57_6 = e3
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2169), (2191) are inconsistent by sub-proof
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2463.
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2192) all_57_12 = e3 & op(e0, e3) = e3
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2192) implies:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2193) all_57_12 = e3
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2178) gives:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2194) all_57_9 = e0 & op(e3, e0) = e0
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (1600), (2194), (function-axioms) are
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2434.
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2195) (all_57_10 = e0 & op(e2, e0) = e0) | (all_57_11 =
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2195) gives:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2196) all_57_10 = e0 & op(e2, e0) = e0
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2196) implies:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2197) op(e2, e0) = e0
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (36), (107), (111), (113), (114), (127),
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (129), (134), (136), (137), (141), (142), (144),
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (161), (163), (164), (165), (190),
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (194), (196), (197), (202), (204), (207), (208),
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (244), (248), (256), (257), (268),
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (270), (351), (370), (371), (372), (373), (378),
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (391), (392), (393), (395), (401), (1596), (1605),
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2183), (2197), (function-axioms) are inconsistent
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1875.
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2198) all_57_11 = e0 & op(e1, e0) = e0
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2198) implies:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2199) all_57_11 = e0
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2200) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2200) gives:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2201) all_57_6 = e1 & op(e1, e3) = e1
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2201) implies:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2202) op(e1, e3) = e1
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (195), (336), (374), (2041), (2044), (2202),
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1998.
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2203) all_57_7 = e1 & op(e1, e2) = e1
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2203) implies:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2204) all_57_7 = e1
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2205) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2205) gives:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2206) all_57_4 = e3 & op(e3, e1) = e3
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2206) implies:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2207) all_57_4 = e3
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2208) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2208) gives:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2209) all_57_6 = e3 & op(e1, e3) = e3
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2209) implies:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2210) all_57_6 = e3
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2169), (2210) imply:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2211) e3 = e2
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2207), (2211) imply:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2212) all_57_4 = e2
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (219),
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (374), (2162), (2212),
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2370.
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2213) all_57_7 = e3 & op(e1, e2) = e3
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2213) implies:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2214) all_57_7 = e3
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2204), (2214) imply:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2215) e3 = e1
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2207), (2215) imply:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2216) all_57_4 = e1
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (218), (221),
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (1607), (2162), (2216), (function-axioms)
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2408.
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2217) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (39), (374), (2199), (2217),
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1863.
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2218) all_57_5 = e3 & op(e2, e1) = e3
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2218) implies:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2219) all_57_5 = e3
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (207),
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (218), (219), (393), (1607), (1897),
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2027), (2162), (2219), (function-axioms) are
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2174.
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2220) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2220) gives:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2221) all_57_8 = e3 & op(e1, e1) = e3
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2221) implies:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2222) op(e1, e1) = e3
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (2222), (function-axioms) are
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2223) all_57_14 = e3 & op(e0, e1) = e3
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2223) implies:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2224) all_57_14 = e3
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2162), (2224) imply:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2225) e3 = e2
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2193), (2225) imply:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2226) all_57_12 = e2
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (232), (236),
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1604), (2169), (2226), (function-axioms) are
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1926.
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2227) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (2027), (2199), (2227),
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1861.
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2228) all_57_14 = e0 & op(e0, e1) = e0
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2228) implies:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2229) all_57_14 = e0
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2162), (2229) imply:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2230) e2 = e0
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2169), (2230) imply:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2231) all_57_6 = e0
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (234), (236), (1605),
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2173), (2231), (function-axioms) are inconsistent
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2390.
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2232) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (195), (336), (374), (1892), (2041),
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2044), (2232), (function-axioms) are inconsistent
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1860.
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (2233) all_57_12 = e2 & op(e0, e3) = e2
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2233) implies:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (2234) all_57_12 = e2
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (160),
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (209), (210), (218), (219), (220), (221),
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (393), (1597), (1607), (1897), (2027),
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (2162), (2234), (function-axioms) are inconsistent
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1870.
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | (2235) all_57_15 = e2 & op(e0, e0) = e2
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2235) implies:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | (2236) op(e0, e0) = e2
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1897), (2236), (function-axioms) are
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2177.
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | (2237) all_57_10 = e2 & op(e2, e0) = e2
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (395), (2237), (function-axioms) are
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2432.
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | (2238) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (401), (1897), (2039), (2042), (2238),
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | | #1902.
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | (2239) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | ALPHA: (2239) implies:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | (2240) op(e0, e0) = all_52_31
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | (2241) op(all_52_31, all_52_31) = e0
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (1607), (1897), (2240), (2241),
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | #2086.
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.05 | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.05 | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | End of split
% 219.56/37.05 | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | End of split
% 219.56/37.05 | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | Case 2:
% 219.56/37.05 | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | (2242) all_24_2 = e0
% 219.56/37.05 | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | COMBINE_EQS: (315), (2242) imply:
% 219.56/37.05 | | | | | | | | | | | | | | | | (2243) all_6_2 = e0
% 219.56/37.05 | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | REDUCE: (361), (2243) imply:
% 219.56/37.05 | | | | | | | | | | | | | | | | (2244) ~ (all_53_6 = e0)
% 219.56/37.05 | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | REDUCE: (364), (2243) imply:
% 219.56/37.05 | | | | | | | | | | | | | | | | (2245) ~ (all_53_9 = e0)
% 219.56/37.05 | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | REDUCE: (374), (2243) imply:
% 219.56/37.05 | | | | | | | | | | | | | | | | (2246) ~ (e3 = e0)
% 219.56/37.05 | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 219.56/37.05 | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.05 | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | (2247) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 219.56/37.05 | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 219.56/37.05 | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (168), (401), (1595), (2247),
% 219.56/37.05 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.56/37.05 | | | | | | | | | | | | | | | | | #1942.
% 219.56/37.05 | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.05 | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | (2248) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 219.56/37.05 | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 219.56/37.05 | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | BETA: splitting (2248) gives:
% 219.56/37.05 | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.05 | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | (2249) all_57_5 = e0 & op(e2, e1) = e0
% 219.56/37.05 | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (2245), (2249), (function-axioms) are
% 219.56/37.05 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2023.
% 219.56/37.05 | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.05 | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | (2250) all_57_10 = e0 & op(e2, e0) = e0
% 219.56/37.05 | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | ALPHA: (2250) implies:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | (2251) op(e2, e0) = e0
% 219.56/37.05 | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 219.56/37.05 | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | (2252) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 219.56/37.05 | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (171), (401), (1598), (2252),
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | #1940.
% 219.56/37.05 | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | (2253) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 219.56/37.05 | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | BETA: splitting (2253) gives:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | (2254) all_57_7 = e0 & op(e1, e2) = e0
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2244), (2254), (function-axioms) are
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2039.
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | (2255) all_57_13 = e0 & op(e0, e2) = e0
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | ALPHA: (2255) implies:
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | (2256) op(e0, e2) = e0
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (36), (107), (111), (113), (114), (127),
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | (129), (134), (136), (137), (141), (142), (144),
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | (159), (160), (161), (163), (164), (165), (190),
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | (194), (196), (197), (202), (204), (207), (208),
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | (209), (210), (244), (248), (256), (257), (268),
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | (270), (351), (370), (371), (372), (373), (378),
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | (391), (392), (393), (395), (401), (1596), (1605),
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | (2251), (2256), (function-axioms) are inconsistent
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | | by sub-proof #1875.
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.05 | | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.05 | | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | | End of split
% 219.56/37.05 | | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | | End of split
% 219.56/37.05 | | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | End of split
% 219.56/37.05 | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | Case 2:
% 219.56/37.05 | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | (2257) all_57_2 = e0 & op(e2, e3) = e0
% 219.56/37.05 | | | | | | | | | | | | | | |
% 219.56/37.05 | | | | | | | | | | | | | | | ALPHA: (2257) implies:
% 219.56/37.05 | | | | | | | | | | | | | | | (2258) op(e2, e3) = e0
% 219.56/37.05 | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | REF_CLOSE: (168), (1595), (2258), (function-axioms) are
% 219.56/37.06 | | | | | | | | | | | | | | | inconsistent by sub-proof #1943.
% 219.56/37.06 | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | End of split
% 219.56/37.06 | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | Case 2:
% 219.56/37.06 | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | (2259) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 219.56/37.06 | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 219.56/37.06 | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (1596), (1597), (2259),
% 219.56/37.06 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.56/37.06 | | | | | | | | | | | | | | #1859.
% 219.56/37.06 | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | End of split
% 219.56/37.06 | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | End of split
% 219.56/37.06 | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | End of split
% 219.56/37.06 | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | Case 2:
% 219.56/37.06 | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | (2260) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 219.56/37.06 | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 219.56/37.06 | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | BETA: splitting (2260) gives:
% 219.56/37.06 | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | Case 1:
% 219.56/37.06 | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | (2261) all_57_5 = e2 & op(e2, e1) = e2
% 219.56/37.06 | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | REF_CLOSE: (166), (394), (2261), (function-axioms) are
% 219.56/37.06 | | | | | | | | | | | | inconsistent by sub-proof #1858.
% 219.56/37.06 | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | Case 2:
% 219.56/37.06 | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | (2262) all_57_10 = e2 & op(e2, e0) = e2
% 219.56/37.06 | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | REF_CLOSE: (165), (395), (2262), (function-axioms) are
% 219.56/37.06 | | | | | | | | | | | | inconsistent by sub-proof #2432.
% 219.56/37.06 | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | End of split
% 219.56/37.06 | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | End of split
% 219.56/37.06 | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | Case 2:
% 219.56/37.06 | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | (2263) all_55_5 = e1 | all_55_5 = e0
% 219.56/37.06 | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | REF_CLOSE: (266), (380), (382), (2263) are inconsistent by
% 219.56/37.06 | | | | | | | | | | sub-proof #1857.
% 219.56/37.06 | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | End of split
% 219.56/37.06 | | | | | | | | |
% 219.56/37.06 | | | | | | | | End of split
% 219.56/37.06 | | | | | | | |
% 219.56/37.06 | | | | | | | Case 2:
% 219.56/37.06 | | | | | | | |
% 219.56/37.06 | | | | | | | | (2264) all_16_2 = e1
% 219.56/37.06 | | | | | | | | (2265) ( ~ (all_16_0 = e0) & op(all_16_1, e2) = all_16_0 &
% 219.56/37.06 | | | | | | | | op(e2, e1) = all_16_1 & $i(all_16_0) & $i(all_16_1))
% 219.56/37.06 | | | | | | | | | ( ~ (all_16_1 = e3) & op(e2, e1) = all_16_1 &
% 219.56/37.06 | | | | | | | | $i(all_16_1))
% 219.56/37.06 | | | | | | | |
% 219.56/37.06 | | | | | | | | COMBINE_EQS: (324), (2264) imply:
% 219.56/37.06 | | | | | | | | (2266) all_8_2 = e1
% 219.56/37.06 | | | | | | | |
% 219.56/37.06 | | | | | | | | SIMP: (2266) implies:
% 219.56/37.06 | | | | | | | | (2267) all_8_2 = e1
% 219.56/37.06 | | | | | | | |
% 219.56/37.06 | | | | | | | | COMBINE_EQS: (305), (2267) imply:
% 219.56/37.06 | | | | | | | | (2268) all_26_2 = e1
% 219.56/37.06 | | | | | | | |
% 219.56/37.06 | | | | | | | | REDUCE: (349), (2267) imply:
% 219.56/37.06 | | | | | | | | (2269) ~ (all_53_1 = e1)
% 219.56/37.06 | | | | | | | |
% 219.56/37.06 | | | | | | | | REDUCE: (352), (2267) imply:
% 219.56/37.06 | | | | | | | | (2270) ~ (all_53_4 = e1)
% 219.56/37.06 | | | | | | | |
% 219.56/37.06 | | | | | | | | REDUCE: (354), (2267) imply:
% 219.56/37.06 | | | | | | | | (2271) ~ (all_53_6 = e1)
% 219.56/37.06 | | | | | | | |
% 219.56/37.06 | | | | | | | | REDUCE: (356), (2267) imply:
% 219.56/37.06 | | | | | | | | (2272) ~ (all_53_7 = e1)
% 219.56/37.06 | | | | | | | |
% 219.56/37.06 | | | | | | | | REDUCE: (358), (2267) imply:
% 219.56/37.06 | | | | | | | | (2273) ~ (all_53_9 = e1)
% 219.56/37.06 | | | | | | | |
% 219.56/37.06 | | | | | | | | REDUCE: (360), (2267) imply:
% 219.56/37.06 | | | | | | | | (2274) ~ (all_53_13 = e1)
% 219.56/37.06 | | | | | | | |
% 219.56/37.06 | | | | | | | | REDUCE: (375), (2267) imply:
% 219.56/37.06 | | | | | | | | (2275) ~ (e3 = e1)
% 219.56/37.06 | | | | | | | |
% 219.56/37.06 | | | | | | | | BETA: splitting (223) gives:
% 219.56/37.06 | | | | | | | |
% 219.56/37.06 | | | | | | | | Case 1:
% 219.56/37.06 | | | | | | | | |
% 219.56/37.06 | | | | | | | | | (2276) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1 &
% 219.56/37.06 | | | | | | | | | op(e2, e2) = e1)
% 219.56/37.06 | | | | | | | | |
% 219.56/37.06 | | | | | | | | | BETA: splitting (2276) gives:
% 219.56/37.06 | | | | | | | | |
% 219.56/37.06 | | | | | | | | | Case 1:
% 219.56/37.06 | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | (2277) all_57_2 = e1 & op(e2, e3) = e1
% 219.56/37.06 | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | REF_CLOSE: (168), (2269), (2277), (function-axioms) are
% 219.56/37.06 | | | | | | | | | | inconsistent by sub-proof #2156.
% 219.56/37.06 | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | Case 2:
% 219.56/37.06 | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | (2278) all_57_3 = e1 & op(e2, e2) = e1
% 219.56/37.06 | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | ALPHA: (2278) implies:
% 219.56/37.06 | | | | | | | | | | (2279) all_57_3 = e1
% 219.56/37.06 | | | | | | | | | | (2280) op(e2, e2) = e1
% 219.56/37.06 | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | BETA: splitting (58) gives:
% 219.56/37.06 | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | Case 1:
% 219.56/37.06 | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | (2281) ~ (all_18_2 = e0)
% 219.56/37.06 | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | REDUCE: (327), (2281) imply:
% 219.56/37.06 | | | | | | | | | | | (2282) ~ (all_10_2 = e0)
% 219.56/37.06 | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | BETA: splitting (61) gives:
% 219.56/37.06 | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | Case 1:
% 219.56/37.06 | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | (2283) ~ (all_20_2 = e2)
% 219.56/37.06 | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | REDUCE: (299), (2283) imply:
% 219.56/37.06 | | | | | | | | | | | | (2284) ~ (all_10_2 = e2)
% 219.56/37.06 | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | BETA: splitting (205) gives:
% 219.56/37.06 | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | Case 1:
% 219.56/37.06 | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | (2285) all_55_0 = e3
% 219.56/37.06 | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | COMBINE_EQS: (277), (2285) imply:
% 219.56/37.06 | | | | | | | | | | | | | (2286) all_10_2 = e3
% 219.56/37.06 | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | REDUCE: (342), (2286) imply:
% 219.56/37.06 | | | | | | | | | | | | | (2287) ~ (all_53_3 = e3)
% 219.56/37.06 | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | REDUCE: (344), (2286) imply:
% 219.56/37.06 | | | | | | | | | | | | | (2288) ~ (all_53_4 = e3)
% 219.56/37.06 | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | REDUCE: (346), (2286) imply:
% 219.56/37.06 | | | | | | | | | | | | | (2289) ~ (all_53_8 = e3)
% 219.56/37.06 | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | REDUCE: (348), (2286) imply:
% 219.56/37.06 | | | | | | | | | | | | | (2290) ~ (all_53_12 = e3)
% 219.56/37.06 | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | REDUCE: (45), (2286) imply:
% 219.56/37.06 | | | | | | | | | | | | | (2291) op(e3, e3) = e3
% 219.56/37.06 | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | BETA: splitting (237) gives:
% 219.56/37.06 | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | Case 1:
% 219.56/37.06 | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | (2292) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_1 = e3
% 219.56/37.06 | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 219.56/37.06 | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | BETA: splitting (2292) gives:
% 219.56/37.06 | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | Case 1:
% 219.56/37.06 | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | (2293) all_57_0 = e3 & op(e3, e3) = e3
% 219.56/37.06 | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | ALPHA: (2293) implies:
% 219.56/37.06 | | | | | | | | | | | | | | | (2294) all_57_0 = e3
% 219.56/37.06 | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 219.56/37.06 | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | Case 1:
% 219.56/37.06 | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | (2295) ~ (all_24_2 = e0)
% 219.56/37.06 | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | REDUCE: (315), (2295) imply:
% 219.56/37.06 | | | | | | | | | | | | | | | | (2296) ~ (all_6_2 = e0)
% 219.56/37.06 | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 219.56/37.06 | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.06 | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | (2297) ~ (all_26_2 = e1)
% 219.56/37.06 | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | REDUCE: (2268), (2297) imply:
% 219.56/37.06 | | | | | | | | | | | | | | | | | (2298) $false
% 219.56/37.06 | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | CLOSE: (2298) is inconsistent.
% 219.56/37.06 | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.06 | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | (2299) ( ~ (all_26_0 = e3) & op(all_26_1, e2) = all_26_0
% 219.56/37.06 | | | | | | | | | | | | | | | | | & op(e2, e1) = all_26_1 & $i(all_26_0) &
% 219.56/37.06 | | | | | | | | | | | | | | | | | $i(all_26_1)) | ( ~ (all_26_1 = e0) & op(e2, e1)
% 219.56/37.06 | | | | | | | | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 219.56/37.06 | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 219.56/37.06 | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.06 | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | (2300) ~ (all_30_2 = e1)
% 219.56/37.06 | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | REDUCE: (330), (2300) imply:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | (2301) ~ (all_4_2 = e1)
% 219.56/37.06 | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 219.56/37.06 | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | (2302) all_55_15 = e3
% 219.56/37.06 | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (378), (2302) are inconsistent by sub-proof
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | #2503.
% 219.56/37.06 | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | (2303) ~ (all_55_15 = e3)
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | (2304) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 219.56/37.06 | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | BETA: splitting (2304) gives:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | (2305) all_55_15 = e2
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (2305) are inconsistent by sub-proof
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | #2502.
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | (2306) ~ (all_55_15 = e2)
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | (2307) all_55_15 = e1 | all_55_15 = e0
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2307) gives:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | (2308) all_55_15 = e1
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (2301), (2308) are inconsistent by
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | sub-proof #2501.
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | (2309) all_55_15 = e0
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (2309) imply:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | (2310) all_4_2 = e0
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | SIMP: (2310) implies:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | (2311) all_4_2 = e0
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (2311) imply:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | (2312) ~ (all_53_3 = e0)
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (2311) imply:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | (2313) ~ (all_53_7 = e0)
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (2311) imply:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | (2314) ~ (all_53_11 = e0)
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (2311) imply:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | (2315) ~ (all_53_12 = e0)
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (2311) imply:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | (2316) ~ (all_53_13 = e0)
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (2311) imply:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | (2317) ~ (all_53_14 = e0)
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (378), (2311) imply:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | (2318) ~ (e3 = e0)
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (2311) imply:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | (2319) ~ (e2 = e0)
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2301), (2311) imply:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | (2320) ~ (e1 = e0)
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | (2321) all_57_15 = e0 & op(e0, e0) = e0
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2321) implies:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | (2322) all_57_15 = e0
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | (2323) op(e0, e0) = e0
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | (2324) ~ (all_38_2 = e2)
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (249), (2324) imply:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | (2325) ~ (all_6_2 = e2)
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | (2326) all_55_10 = e3
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (374), (2326) are inconsistent by sub-proof
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | #2500.
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | (2327) ~ (all_55_10 = e3)
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | (2328) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2328) gives:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | (2329) all_55_10 = e2
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (2325), (2329) are inconsistent by
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2499.
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | (2330) ~ (all_55_10 = e2)
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | (2331) all_55_10 = e1 | all_55_10 = e0
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2331) gives:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (2332) all_55_10 = e1
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (2332) imply:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (2333) all_6_2 = e1
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2333) implies:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (2334) all_6_2 = e1
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2325), (2334) imply:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (2335) ~ (e2 = e1)
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (2334) imply:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (2336) op(e1, e1) = e1
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2337) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (228), (229),
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2280), (2291), (2337), (function-axioms) are
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1856.
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2338) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2338) gives:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2339) all_57_4 = e1 & op(e3, e1) = e1
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2339) implies:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2340) all_57_4 = e1
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2341) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 =
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2341) gives:
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2342) all_57_9 = e1 & op(e3, e0) = e1
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (113),
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (161), (165), (168), (169), (171), (194),
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (214), (216), (217), (218), (220), (221),
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (228), (229),
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (235), (248), (374), (2269),
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2279), (2280), (2288), (2291), (2296), (2315),
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2316), (2317), (2323), (2336), (2342),
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1847.
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2343) all_57_10 = e1 & op(e2, e0) = e1
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2274), (2343), (function-axioms) are
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2084.
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2344) (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 =
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2344) gives:
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2345) all_57_11 = e1 & op(e1, e0) = e1
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2345) implies:
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2346) all_57_11 = e1
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2347) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2347) gives:
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2348) all_57_6 = e3 & op(e1, e3) = e3
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2348) implies:
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2349) all_57_6 = e3
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (232), (234),
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2294), (2349) are inconsistent by sub-proof
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2010.
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2350) all_57_7 = e3 & op(e1, e2) = e3
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2350) implies:
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2351) all_57_7 = e3
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2352) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2352) gives:
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2353) all_57_0 = e0 & op(e3, e3) = e0
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2353) implies:
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2354) op(e3, e3) = e0
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2291), (2354), (function-axioms) are
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2494.
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2355) all_57_1 = e0 & op(e3, e2) = e0
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2355) implies:
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2356) op(e3, e2) = e0
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2357) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2357) gives:
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.56/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2358) all_57_6 = e0 & op(e1, e3) = e0
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2358) implies:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2359) all_57_6 = e0
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (216), (2336), (2346), (2351),
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2359), (function-axioms) are inconsistent by
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1844.
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2360) all_57_7 = e0 & op(e1, e2) = e0
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2351), (2360) are inconsistent by sub-proof
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2042.
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2361) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2361) gives:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2362) all_57_8 = e0 & op(e1, e1) = e0
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2362) implies:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2363) op(e1, e1) = e0
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (107), (129), (136), (137), (159),
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (161), (165), (169), (171), (190), (192), (196),
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (226), (244), (246), (256), (362), (370),
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (371), (372), (373), (378), (2270), (2271),
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2272), (2280), (2291), (2301), (2323), (2356),
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2363), (function-axioms) are inconsistent by
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1834.
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2364) all_57_11 = e0 & op(e1, e0) = e0
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (2317), (2364), (function-axioms) are
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2341.
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2365) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2365) gives:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2366) all_57_4 = e0 & op(e3, e1) = e0
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2340), (2366) are inconsistent by sub-proof
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2429.
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2367) all_57_9 = e0 & op(e3, e0) = e0
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2315), (2367), (function-axioms) are
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2434.
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2368) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (374), (2346), (2368),
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2004.
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2369) all_57_15 = e1 & op(e0, e0) = e1
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2369) implies:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2370) op(e0, e0) = e1
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2323), (2370), (function-axioms) are
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2290.
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2371) all_57_9 = e1 & op(e3, e0) = e1
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (113),
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (161), (165), (168), (169), (171), (194),
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (214), (216), (217), (218), (220), (221),
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (228), (229),
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (235), (248), (374), (2269),
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2279), (2280), (2288), (2291), (2296), (2315),
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2316), (2317), (2323), (2336), (2371),
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1847.
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (2372) all_55_10 = e0
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (2296), (2372) are inconsistent by
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2118.
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | (2373) all_38_2 = e2
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (2373) imply:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | (2374) all_6_2 = e2
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (2374) imply:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | (2375) ~ (all_53_6 = e2)
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (2374) imply:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | (2376) ~ (all_53_8 = e2)
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (2374) imply:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | (2377) ~ (all_53_9 = e2)
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (2374) imply:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | (2378) ~ (all_53_11 = e2)
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (2374) imply:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | (2379) ~ (all_53_14 = e2)
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (374), (2374) imply:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | (2380) ~ (e3 = e2)
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (2374) imply:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | (2381) op(e1, e1) = e2
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | (2382) all_55_1 = e3
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (2288), (2382) are inconsistent by
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2295.
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | (2383) all_55_1 = e2 | all_55_1 = e1 | all_55_1 = e0
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | (2384) all_55_13 = e3
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (2384) imply:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | (2385) all_53_7 = e3
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2385) implies:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | (2386) all_53_7 = e3
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (2386) imply:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | (2387) ~ (all_53_6 = e3)
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (2386) imply:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | (2388) ~ (all_53_11 = e3)
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2388) implies:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | (2389) ~ (all_53_11 = e3)
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.87/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (2390) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2390) gives:
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2391) all_57_6 = e3 & op(e1, e3) = e3
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2391) implies:
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2392) all_57_6 = e3
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (232), (234),
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2294), (2392) are inconsistent by sub-proof
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2010.
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2393) all_57_7 = e3 & op(e1, e2) = e3
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2393) implies:
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2394) all_57_7 = e3
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2395) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 =
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2395) gives:
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2396) all_57_12 = e3 & op(e0, e3) = e3
% 219.90/37.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (168), (223),
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (230), (232), (234), (2269), (2279),
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2291), (2312), (2396), (function-axioms) are
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1833.
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2397) all_57_13 = e3 & op(e0, e2) = e3
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2397) implies:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2398) all_57_13 = e3
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2399) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2399) gives:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2400) all_57_1 = e2 & op(e3, e2) = e2
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2400) implies:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2401) all_57_1 = e2
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2402) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2402) gives:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2403) all_57_4 = e1 & op(e3, e1) = e1
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2403) implies:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2404) all_57_4 = e1
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (137), (169), (171), (196), (231),
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (256), (2271), (2291), (2315), (2375), (2387),
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2404), (function-axioms) are inconsistent by
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1830.
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2405) all_57_5 = e1 & op(e2, e1) = e1
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (2273), (2405), (function-axioms) are
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2305.
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2406) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2406) gives:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2407) all_57_8 = e1 & op(e1, e1) = e1
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2407) implies:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2408) op(e1, e1) = e1
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2381), (2408), (function-axioms) are
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2423.
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2409) all_57_14 = e1 & op(e0, e1) = e1
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2409) implies:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2410) all_57_14 = e1
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2411) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2411) gives:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2412) all_57_4 = e3 & op(e3, e1) = e3
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (235),
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2291), (2401), (2412), (function-axioms) are
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2413) all_57_5 = e3 & op(e2, e1) = e3
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2413) implies:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2414) all_57_5 = e3
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2415) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2415) gives:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2416) all_57_12 = e2 & op(e0, e3) = e2
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2416) implies:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2417) all_57_12 = e2
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2418) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2418) gives:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2419) all_57_0 = e1 & op(e3, e3) = e1
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2419) implies:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2420) op(e3, e3) = e1
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2291), (2420), (function-axioms) are
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2421) all_57_2 = e1 & op(e2, e3) = e1
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2421) implies:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2422) all_57_2 = e1
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (222), (224), (2280),
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2414), (2422), (function-axioms) are inconsistent
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1825.
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2423) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2423) gives:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2424) all_57_6 = e1 & op(e1, e3) = e1
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2424) implies:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2425) all_57_6 = e1
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2426) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2426) gives:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2427) all_57_2 = e0 & op(e2, e3) = e0
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2427) implies:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2428) all_57_2 = e0
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2429) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2429) gives:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2430) all_57_6 = e0 & op(e1, e3) = e0
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2430) implies:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2431) all_57_6 = e0
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2425), (2431) imply:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2432) e1 = e0
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2279), (2428), (2432) are inconsistent by
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1824.
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2433) all_57_7 = e0 & op(e1, e2) = e0
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2433) implies:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2434) all_57_7 = e0
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2394), (2434) imply:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2435) e3 = e0
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2414), (2435) imply:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2436) all_57_5 = e0
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (224), (225), (2280),
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2428), (2436), (function-axioms) are inconsistent
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1848.
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2437) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2437) gives:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2438) all_57_8 = e0 & op(e1, e1) = e0
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (2296), (2438), (function-axioms) are
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2412.
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2439) all_57_11 = e0 & op(e1, e0) = e0
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (2317), (2439), (function-axioms) are
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2341.
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2440) all_57_3 = e0 & op(e2, e2) = e0
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2440) implies:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2441) all_57_3 = e0
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (227), (2394), (2398), (2401),
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2441) are inconsistent by sub-proof #2008.
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2442) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (165), (2316), (2414), (2442),
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2222.
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2443) all_57_12 = e1 & op(e0, e3) = e1
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (228), (229),
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2280), (2401), (2417), (2443), (function-axioms)
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1823.
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2444) all_57_13 = e2 & op(e0, e2) = e2
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (161), (163),
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (217), (374), (2271), (2296),
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2317), (2381), (2394), (2398), (2444),
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1816.
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2445) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2445) gives:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2446) all_57_14 = e2 & op(e0, e1) = e2
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (228), (229),
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2280), (2401), (2410), (2446), (function-axioms)
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1850.
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2447) all_57_15 = e2 & op(e0, e0) = e2
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2447) implies:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2448) all_57_15 = e2
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2322), (2448) are inconsistent by sub-proof
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2126.
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2449) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (39), (137), (166), (169),
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (171), (196), (219), (231), (256), (374), (2271),
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2273), (2291), (2315), (2375), (2381), (2387),
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2449), (function-axioms) are inconsistent by
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1813.
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2450) all_57_3 = e2 & op(e2, e2) = e2
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2450) implies:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2451) op(e2, e2) = e2
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2280), (2451), (function-axioms) are
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2452) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2452) gives:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2453) all_57_7 = e2 & op(e1, e2) = e2
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2453) implies:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2454) all_57_7 = e2
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (161), (163),
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (217), (374), (2271), (2296),
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2317), (2381), (2454), (function-axioms) are
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1817.
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2455) all_57_13 = e2 & op(e0, e2) = e2
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (161), (163),
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (217), (374), (2271), (2296),
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2317), (2381), (2394), (2398), (2455),
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1816.
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2456) (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 =
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2456) gives:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2457) all_57_14 = e3 & op(e0, e1) = e3
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (137), (166), (169), (171),
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (219), (231), (256), (2271), (2273),
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2291), (2315), (2375), (2381), (2387), (2457),
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1814.
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2458) all_57_15 = e3 & op(e0, e0) = e3
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2458) implies:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2459) all_57_15 = e3
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2460) op(e0, e0) = e3
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (70), (107),
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (163), (166), (171), (204), (207), (208),
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (211), (212), (217), (221), (222), (223),
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (270),
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (2265), (2268), (2270), (2273), (2279),
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2280), (2291), (2459), (2460), (function-axioms)
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1732.
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (2461) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2461) gives:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2462) all_57_8 = e3 & op(e1, e1) = e3
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2462) implies:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2463) op(e1, e1) = e3
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (2463), (function-axioms) are
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2464) all_57_11 = e3 & op(e1, e0) = e3
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2464) implies:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2465) all_57_11 = e3
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2466) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 =
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2466) gives:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2467) all_57_12 = e3 & op(e0, e3) = e3
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (168), (223),
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (230), (232), (234), (2269), (2279),
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2291), (2312), (2467), (function-axioms) are
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1833.
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2468) all_57_13 = e3 & op(e0, e2) = e3
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2468) implies:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2469) all_57_13 = e3
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2470) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2470) gives:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2471) all_57_1 = e2 & op(e3, e2) = e2
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2471) implies:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2472) all_57_1 = e2
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2473) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 =
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2473) gives:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2474) all_57_9 = e1 & op(e3, e0) = e1
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2474) implies:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2475) all_57_9 = e1
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2476) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2476) gives:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2477) all_57_4 = e3 & op(e3, e1) = e3
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (235),
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2291), (2472), (2477), (function-axioms) are
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2478) all_57_5 = e3 & op(e2, e1) = e3
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2478) implies:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2479) all_57_5 = e3
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2480) op(e2, e1) = e3
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2481) all_55_9 = e3
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (2387), (2481) are inconsistent by
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2159.
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2482) all_55_9 = e2 | all_55_9 = e1 | all_55_9 = e0
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2482) gives:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2483) all_55_9 = e2
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (2375), (2483) are inconsistent by
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2274.
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2484) all_55_9 = e1 | all_55_9 = e0
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2485) all_55_14 = e3
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (245), (2389), (2485) are inconsistent by
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2294.
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2486) ~ (all_55_14 = e3)
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2487) all_55_14 = e2 | all_55_14 = e1 | all_55_14 = e0
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2487) gives:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2488) all_55_14 = e2
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (245), (2378), (2488) are inconsistent by
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2293.
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2489) ~ (all_55_14 = e2)
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2490) all_55_14 = e1 | all_55_14 = e0
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2490) gives:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2491) all_55_14 = e1
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (2491) imply:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2492) all_53_11 = e1
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2492) implies:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2493) all_53_11 = e1
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (2493) imply:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2494) ~ (all_53_8 = e1)
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2378), (2493) imply:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2495) ~ (e2 = e1)
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2496) all_55_2 = e3
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (2289), (2496) are inconsistent by
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2028.
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2497) all_55_2 = e2 | all_55_2 = e1 | all_55_2 = e0
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2498) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2498) gives:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2499) all_57_0 = e0 & op(e3, e3) = e0
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2499) implies:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2500) op(e3, e3) = e0
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2291), (2500), (function-axioms) are
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2494.
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2501) all_57_1 = e0 & op(e3, e2) = e0
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2501) implies:
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2502) op(e3, e2) = e0
% 219.90/37.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (137), (171), (256), (2271), (2484), (2502),
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1832.
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2503) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2503) gives:
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2504) all_57_4 = e0 & op(e3, e1) = e0
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2504) implies:
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2505) all_57_4 = e0
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2497) gives:
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2506) all_55_2 = e2
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (2376), (2506) are inconsistent by
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2027.
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2507) ~ (all_55_2 = e2)
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2508) all_55_2 = e1 | all_55_2 = e0
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2508) gives:
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2509) all_55_2 = e1
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (2494), (2509) are inconsistent by
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2032.
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2510) all_55_2 = e0
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (2510) imply:
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2511) all_53_8 = e0
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2511) implies:
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2512) all_53_8 = e0
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (2512) imply:
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2513) ~ (all_53_4 = e0)
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (2512) imply:
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2514) op(e3, e1) = e0
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2515) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2515) gives:
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2516) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2516) implies:
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2517) op(e3, e1) = all_52_5
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2518) op(all_52_5, all_52_5) = e1
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2323), (2514), (2517), (2518),
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2167.
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2519) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2519) implies:
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2520) op(e2, e1) = all_52_13
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2521) op(all_52_13, all_52_13) = e1
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (70), (2268), (2291), (2480), (2520), (2521),
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1791.
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2522) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2522) gives:
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2523) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2523) implies:
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2524) op(e1, e3) = all_52_17
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2525) op(all_52_17, all_52_17) = e3
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (39), (163), (195), (215), (336), (374),
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2271), (2381), (2465), (2524), (2525),
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1731.
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2526) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2526) implies:
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2527) op(e0, e1) = all_52_29
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2528) op(all_52_29, all_52_29) = e1
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (204), (219), (233),
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (270), (2270), (2288), (2291), (2381),
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2475), (2479), (2505), (2513), (2527), (2528),
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1728.
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 219.90/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2529) all_57_9 = e0 & op(e3, e0) = e0
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2315), (2529), (function-axioms) are
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2434.
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2530) all_55_14 = e0
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (245), (2314), (2530) are inconsistent by
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2288.
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2531) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (39), (137), (166), (169),
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (171), (196), (219), (231), (256), (374), (2271),
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2273), (2291), (2315), (2375), (2381), (2387),
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2531), (function-axioms) are inconsistent by
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1813.
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2532) all_57_10 = e1 & op(e2, e0) = e1
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2274), (2532), (function-axioms) are
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2084.
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2533) (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 =
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (2323), (2465), (2533),
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1727.
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2534) all_57_3 = e2 & op(e2, e2) = e2
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2534) implies:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2535) op(e2, e2) = e2
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2280), (2535), (function-axioms) are
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2536) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2536) gives:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2537) all_57_7 = e2 & op(e1, e2) = e2
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2537) implies:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2538) all_57_7 = e2
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (161), (163),
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (217), (374), (2271), (2296),
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2317), (2381), (2538), (function-axioms) are
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1817.
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2539) all_57_13 = e2 & op(e0, e2) = e2
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2539) implies:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2540) all_57_13 = e2
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2469), (2540) imply:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2541) e3 = e2
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2465), (2541) imply:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2542) all_57_11 = e2
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (39), (161), (163),
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (217), (374), (2271), (2296),
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2317), (2381), (2542), (function-axioms) are
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1724.
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2543) (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 =
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2543) gives:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2544) all_57_14 = e3 & op(e0, e1) = e3
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (137), (166), (169), (171),
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (219), (231), (256), (2271), (2273),
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2291), (2315), (2375), (2381), (2387), (2544),
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1814.
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2545) all_57_15 = e3 & op(e0, e0) = e3
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2545) implies:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2546) all_57_15 = e3
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (211), (212),
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2465), (2546) are inconsistent by sub-proof
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2134.
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | (2547) all_55_13 = e2 | all_55_13 = e1 | all_55_13 = e0
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (2548) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 =
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2548) gives:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2549) all_57_12 = e3 & op(e0, e3) = e3
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (168), (223),
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (230), (232), (234), (2269), (2279),
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2291), (2312), (2549), (function-axioms) are
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1833.
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2550) all_57_13 = e3 & op(e0, e2) = e3
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2550) implies:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2551) all_57_13 = e3
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2552) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2552) gives:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2553) all_57_1 = e2 & op(e3, e2) = e2
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2553) implies:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2554) all_57_1 = e2
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2555) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (2291), (2554), (2555),
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1722.
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2556) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (119), (124), (126), (140), (141), (169), (170),
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (193), (199), (245), (246), (247), (259),
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2272), (2273), (2287), (2312), (2313), (2314),
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2315), (2377), (2547), (2556), (function-axioms)
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1718.
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2557) all_57_3 = e2 & op(e2, e2) = e2
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2557) implies:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2558) op(e2, e2) = e2
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2280), (2558), (function-axioms) are
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2559) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2559) gives:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2560) all_57_7 = e2 & op(e1, e2) = e2
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2560) implies:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2561) all_57_7 = e2
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (161), (163),
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (217), (374), (2271), (2296),
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2317), (2381), (2561), (function-axioms) are
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1817.
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2562) all_57_13 = e2 & op(e0, e2) = e2
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2551), (2562) are inconsistent by sub-proof
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2146.
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (2563) (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 =
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2563) gives:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2564) all_57_14 = e3 & op(e0, e1) = e3
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2564) implies:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2565) all_57_14 = e3
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2566) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2566) gives:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2567) all_57_4 = e1 & op(e3, e1) = e1
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2567) implies:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2568) all_57_4 = e1
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2569) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (223),
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (2279), (2280), (2296), (2565),
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2568), (2569), (function-axioms) are inconsistent
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1715.
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2570) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2570) gives:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2571) all_57_5 = e0 & op(e2, e1) = e0
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2571) implies:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2572) op(e2, e1) = e0
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2573) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2573) gives:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2574) all_57_0 = e0 & op(e3, e3) = e0
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2574) implies:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2575) op(e3, e3) = e0
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2291), (2575), (function-axioms) are
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2494.
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2576) all_57_1 = e0 & op(e3, e2) = e0
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2547) gives:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2577) all_55_13 = e2
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (2577) imply:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2578) all_53_7 = e2
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2578) implies:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2579) all_53_7 = e2
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (2579) imply:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2580) ~ (all_53_4 = e2)
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2383) gives:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2581) all_55_1 = e2
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (2580), (2581) are inconsistent by
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2284.
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2582) ~ (all_55_1 = e2)
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2583) all_55_1 = e1 | all_55_1 = e0
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2583) gives:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2584) all_55_1 = e1
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (2270), (2584) are inconsistent by
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2283.
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2585) all_55_1 = e0
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (2585) imply:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2586) all_53_4 = e0
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2586) implies:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2587) all_53_4 = e0
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (2587) imply:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2588) ~ (all_53_6 = e0)
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2588) implies:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2589) ~ (all_53_6 = e0)
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (2587) imply:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2590) ~ (all_53_12 = e0)
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (2587) imply:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2591) op(e3, e2) = e0
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2592) all_55_9 = e3
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (2592) imply:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2593) all_53_6 = e3
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2593) implies:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2594) all_53_6 = e3
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (2594) imply:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2595) ~ (all_53_14 = e3)
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2595) implies:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2596) ~ (all_53_14 = e3)
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2597) all_55_11 = e3
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (2597) imply:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2598) all_53_14 = e3
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2596), (2598) imply:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2599) $false
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2599) is inconsistent.
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2600) all_55_11 = e2 | all_55_11 = e1 | all_55_11 = e0
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.01/37.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2601) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2601) gives:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2602) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2602) implies:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2603) op(e3, e2) = all_52_3
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2604) op(all_52_3, all_52_3) = e2
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2323), (2591), (2603), (2604),
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2399.
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2605) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2605) implies:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2606) op(e2, e1) = all_52_13
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2607) op(all_52_13, all_52_13) = e1
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2299) gives:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2608) ~ (all_26_0 = e3) & op(all_26_1, e2) = all_26_0 &
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_26_1 & $i(all_26_0) &
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2608) implies:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2609) op(e2, e1) = all_26_1
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2265), (2323), (2572), (2606), (2607),
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2609), (function-axioms) are inconsistent by
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1713.
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2610) ~ (all_26_1 = e0) & op(e2, e1) = all_26_1 &
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2610) implies:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2611) op(e2, e1) = all_26_1
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2265), (2323), (2572), (2606), (2607),
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2611), (function-axioms) are inconsistent by
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1713.
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2612) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2612) gives:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2613) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2613) implies:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2614) op(e1, e0) = all_52_23
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2615) op(e1, e1) = all_52_21
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2616) op(all_52_23, all_52_23) = e0
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2617) op(all_52_21, all_52_21) = e1
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2600) gives:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2618) all_55_11 = e2
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (2379), (2618) are inconsistent by
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2282.
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2619) all_55_11 = e1 | all_55_11 = e0
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2619) gives:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2620) all_55_11 = e1
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (2620) imply:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2621) all_53_14 = e1
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2621) implies:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2622) all_53_14 = e1
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (2622) imply:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2623) ~ (all_53_12 = e1)
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (161), (2622) imply:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2624) op(e1, e0) = e1
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2625) all_55_3 = e3
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (2290), (2625) are inconsistent by
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2169.
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2626) all_55_3 = e2 | all_55_3 = e1 | all_55_3 = e0
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2626) gives:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_23, e0, e1, simplifying with (2614), (2624)
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2627) all_52_23 = e1
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2616), (2627) imply:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2628) op(e1, e1) = e0
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (165), (169), (171), (207), (2270), (2315),
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2316), (2317), (2576), (2615), (2617), (2628),
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1842.
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2629) all_55_3 = e1 | all_55_3 = e0
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (2315), (2623), (2629) are inconsistent by
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2132.
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2630) all_55_11 = e0
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (2317), (2630) are inconsistent by
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2308.
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2631) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2631) implies:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2632) op(e0, e2) = all_52_27
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2633) op(all_52_27, all_52_27) = e2
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (192), (246), (2265), (2272), (2280),
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2299), (2313), (2572), (2632), (2633),
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1709.
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2634) all_55_9 = e2 | all_55_9 = e1 | all_55_9 = e0
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (2271), (2375), (2589), (2634) are
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2271.
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2635) all_55_13 = e1 | all_55_13 = e0
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (2272), (2313), (2635) are inconsistent by
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1837.
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2636) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (119), (124), (126), (140), (141), (169), (170),
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (193), (199), (245), (246), (247), (259),
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2272), (2273), (2287), (2312), (2313), (2314),
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2315), (2377), (2547), (2636), (function-axioms)
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1718.
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2637) all_57_10 = e0 & op(e2, e0) = e0
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2637) implies:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2638) op(e2, e0) = e0
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2316), (2638), (function-axioms) are
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2470.
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2639) all_57_5 = e1 & op(e2, e1) = e1
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (2273), (2639), (function-axioms) are
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2305.
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.01/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2640) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 220.09/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 220.09/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (2381), (2565), (2640),
% 220.09/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.09/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1815.
% 220.09/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2641) all_57_15 = e3 & op(e0, e0) = e3
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2641) implies:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2642) all_57_15 = e3
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2643) op(e0, e0) = e3
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (70), (107),
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (163), (166), (171), (204), (207), (208),
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (211), (212), (217), (221), (222), (223),
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (270),
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (2265), (2268), (2270), (2273), (2279),
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2280), (2291), (2642), (2643), (function-axioms)
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1732.
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | (2644) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (165), (169), (2315), (2316), (2317),
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | (2644), (function-axioms) are inconsistent by
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2112.
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.13 | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.13 | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.13 | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | (2645) all_30_2 = e1
% 220.09/37.13 | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (2645) imply:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | (2646) all_4_2 = e1
% 220.09/37.13 | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | SIMP: (2646) implies:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | (2647) all_4_2 = e1
% 220.09/37.13 | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | REDUCE: (351), (2647) imply:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | (2648) ~ (all_53_3 = e1)
% 220.09/37.13 | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | REDUCE: (370), (2647) imply:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | (2649) ~ (all_53_12 = e1)
% 220.09/37.13 | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | REDUCE: (373), (2647) imply:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | (2650) ~ (e2 = e1)
% 220.09/37.13 | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | REDUCE: (36), (2647) imply:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | (2651) op(e0, e0) = e1
% 220.09/37.13 | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 220.09/37.13 | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | (2652) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 220.09/37.13 | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (228), (229),
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | (2280), (2291), (2652), (function-axioms) are
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1856.
% 220.09/37.13 | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | (2653) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 220.09/37.13 | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | BETA: splitting (2653) gives:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | (2654) all_57_4 = e1 & op(e3, e1) = e1
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | ALPHA: (2654) implies:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | (2655) all_57_4 = e1
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | (2656) op(e3, e1) = e1
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | (2657) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (2269), (2291), (2657),
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | #2155.
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | (2658) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2658) gives:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | (2659) all_57_6 = e1 & op(e1, e3) = e1
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2659) implies:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | (2660) all_57_6 = e1
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | (2661) op(e1, e3) = e1
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_2, e1,
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (164), (2661) gives:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | (2662) all_53_2 = e1
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_8, e1,
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (170), (2656) gives:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | (2663) all_53_8 = e1
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (2662) imply:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | (2664) ~ (all_53_6 = e1)
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (142), (2662) imply:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | (2665) ~ (all_53_14 = e1)
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2665) implies:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | (2666) ~ (all_53_14 = e1)
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (124), (2663) imply:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | (2667) ~ (all_53_9 = e1)
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (2663) imply:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | (2668) ~ (all_53_12 = e1)
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (2663) imply:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | (2669) ~ (all_6_2 = e1)
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2669) implies:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | (2670) ~ (all_6_2 = e1)
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | (2671) all_55_10 = e3
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (374), (2671) are inconsistent by sub-proof
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | #2500.
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | (2672) ~ (all_55_10 = e3)
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | (2673) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2673) gives:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | (2674) all_55_10 = e2
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (2674) imply:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | (2675) all_6_2 = e2
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2675) implies:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | (2676) all_6_2 = e2
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (2676) imply:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | (2677) ~ (all_53_6 = e2)
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (2676) imply:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | (2678) ~ (all_53_14 = e2)
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (2676) imply:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | (2679) op(e1, e1) = e2
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | (2680) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2680) gives:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (2681) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2681) implies:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (2682) op(e3, e1) = all_52_5
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (2683) op(all_52_5, all_52_5) = e1
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_52_5,
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (2656), (2682) gives:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (2684) all_52_5 = e1
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2683), (2684) imply:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (2685) op(e1, e1) = e1
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2679), (2685), (function-axioms) are
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2423.
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (2686) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2686) implies:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (2687) op(e2, e0) = all_52_15
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (2688) op(e2, e1) = all_52_13
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (2689) op(e2, e2) = all_52_11
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (2690) op(all_52_15, all_52_15) = e0
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (2691) op(all_52_13, all_52_13) = e1
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (2692) op(all_52_11, all_52_11) = e2
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_13,
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_15, e0, e2, simplifying with (165), (2687)
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (2693) all_53_13 = all_52_15
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_9,
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_13, e1, e2, simplifying with (166), (2688)
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (2694) all_53_9 = all_52_13
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_11, e2, e2, simplifying with (2280), (2689)
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (2695) all_52_11 = e1
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (2693) imply:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (2696) all_55_7 = all_52_15
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (2693) imply:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (2697) ~ (all_53_12 = all_52_15)
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (2693) imply:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (2698) ~ (all_53_14 = all_52_15)
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2698) implies:
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (2699) ~ (all_53_14 = all_52_15)
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.13 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2274), (2693) imply:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (2700) ~ (all_52_15 = e1)
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2701) all_55_3 = e3
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (2290), (2701) are inconsistent by
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2169.
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2702) ~ (all_55_3 = e3)
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2703) all_55_3 = e2 | all_55_3 = e1 | all_55_3 = e0
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2704) all_55_9 = e3
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (2704) imply:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2705) all_53_6 = e3
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2705) implies:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2706) all_53_6 = e3
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (2706) imply:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2707) ~ (all_53_14 = e3)
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2707) implies:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2708) ~ (all_53_14 = e3)
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2709) all_55_11 = e3
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (2708), (2709) are inconsistent by
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2497.
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2710) ~ (all_55_11 = e3)
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2711) all_55_11 = e2 | all_55_11 = e1 | all_55_11 = e0
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2712) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 =
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2712) gives:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2713) all_57_12 = e3 & op(e0, e3) = e3
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2713) implies:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2714) all_57_12 = e3
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2715) (all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 =
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2715) gives:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2716) all_57_9 = e3 & op(e3, e0) = e3
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2716) implies:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2717) op(e3, e0) = e3
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2290), (2717), (function-axioms) are
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2458.
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2718) all_57_10 = e3 & op(e2, e0) = e3
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2718) implies:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2719) all_57_10 = e3
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2720) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2720) gives:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2721) all_57_6 = e3 & op(e1, e3) = e3
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2721) implies:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2722) all_57_6 = e3
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (232), (234),
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2294), (2722) are inconsistent by sub-proof
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2010.
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2723) all_57_7 = e3 & op(e1, e2) = e3
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2723) implies:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2724) all_57_7 = e3
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2725) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2725) gives:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2726) all_57_2 = e2 & op(e2, e3) = e2
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2726) implies:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2727) all_57_2 = e2
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2728) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2728) gives:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2729) all_57_4 = e3 & op(e3, e1) = e3
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2729) implies:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2730) all_57_4 = e3
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (235),
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2291), (2730), (function-axioms) are inconsistent
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2474.
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2731) all_57_5 = e3 & op(e2, e1) = e3
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2731) implies:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2732) op(e2, e1) = e3
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (70), (2268), (2291), (2688), (2691), (2732),
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1791.
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2733) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2733) gives:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2734) all_57_8 = e3 & op(e1, e1) = e3
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2734) implies:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2735) op(e1, e1) = e3
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (2735), (function-axioms) are
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2736) all_57_14 = e3 & op(e0, e1) = e3
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2736) implies:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2737) all_57_14 = e3
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2738) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2738) gives:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2739) all_57_9 = e2 & op(e3, e0) = e2
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2739) implies:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2740) all_57_9 = e2
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2741) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2741) gives:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2742) all_57_0 = e0 & op(e3, e3) = e0
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2742) implies:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2743) op(e3, e3) = e0
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2291), (2743), (function-axioms) are
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2494.
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2744) all_57_1 = e0 & op(e3, e2) = e0
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2744) implies:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2745) all_57_1 = e0
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2746) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2746) gives:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2747) all_57_0 = e0 & op(e3, e3) = e0
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2747) implies:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2748) all_57_0 = e0
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2749) op(e3, e3) = e0
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (226), (227),
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (233), (235), (237), (2279), (2280),
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2290), (2724), (2745), (2748), (2749),
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1706.
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2750) all_57_2 = e0 & op(e2, e3) = e0
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2750) implies:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2751) all_57_2 = e0
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (223),
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (2279), (2280), (2296), (2655),
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2737), (2751), (function-axioms) are inconsistent
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1716.
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2752) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2752) gives:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2753) all_57_6 = e0 & op(e1, e3) = e0
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (232), (2291), (2714), (2727),
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2753), (function-axioms) are inconsistent by
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2225.
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2754) all_57_12 = e0 & op(e0, e3) = e0
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2714), (2754) are inconsistent by sub-proof
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2237.
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2755) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2755) gives:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2756) all_57_4 = e0 & op(e3, e1) = e0
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2756) implies:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2757) all_57_4 = e0
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2655), (2757) imply:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2758) e1 = e0
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2279), (2758) imply:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2759) all_57_3 = e0
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (2291), (2714), (2727), (2759),
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2224.
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2760) all_57_9 = e0 & op(e3, e0) = e0
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (223),
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (2279), (2280), (2296), (2655),
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2727), (2737), (2740), (2760), (function-axioms)
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1705.
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2761) all_57_10 = e2 & op(e2, e0) = e2
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (218), (221),
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (2296), (2655), (2719), (2737), (2761),
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1704.
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2762) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2762) gives:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2763) all_57_11 = e2 & op(e1, e0) = e2
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2763) implies:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2764) all_57_11 = e2
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2765) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (223),
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (2279), (2280), (2291), (2296),
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2655), (2737), (2765), (function-axioms) are
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1703.
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2766) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2766) gives:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2767) all_57_6 = e0 & op(e1, e3) = e0
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (232), (2291), (2714), (2727),
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2767), (function-axioms) are inconsistent by
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2225.
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2768) all_57_12 = e0 & op(e0, e3) = e0
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (39), (217), (374), (2660), (2714),
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2724), (2764), (2768), (function-axioms) are
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1702.
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2769) all_57_15 = e2 & op(e0, e0) = e2
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2769) implies:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2770) op(e0, e0) = e2
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2651), (2770), (function-axioms) are
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2177.
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2771) all_57_3 = e2 & op(e2, e2) = e2
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2771) implies:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2772) op(e2, e2) = e2
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2280), (2772), (function-axioms) are
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2773) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2773) gives:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2774) all_57_5 = e2 & op(e2, e1) = e2
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2774) implies:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2775) all_57_5 = e2
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2776) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2776) gives:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2777) all_57_2 = e0 & op(e2, e3) = e0
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (221),
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (374), (2279), (2280),
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2296), (2655), (2775), (2777), (function-axioms)
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1701.
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2778) all_57_3 = e0 & op(e2, e2) = e0
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2778) implies:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2779) all_57_3 = e0
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (234), (2291), (2714), (2779),
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2223.
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2780) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2780) gives:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2781) all_57_5 = e0 & op(e2, e1) = e0
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2775), (2781) are inconsistent by sub-proof
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2428.
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2782) all_57_10 = e0 & op(e2, e0) = e0
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2719), (2782) are inconsistent by sub-proof
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1981.
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2783) all_57_10 = e2 & op(e2, e0) = e2
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2783) implies:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2784) all_57_10 = e2
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2719), (2784) are inconsistent by sub-proof
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2356.
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2785) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (161), (374), (2708), (2785),
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2310.
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2786) (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 =
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2786) gives:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2787) all_57_11 = e3 & op(e1, e0) = e3
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2787) implies:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2788) op(e1, e0) = e3
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (2708), (2788), (function-axioms) are
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2330.
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2789) all_57_15 = e3 & op(e0, e0) = e3
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2789) implies:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2790) all_57_15 = e3
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2791) op(e0, e0) = e3
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (70), (107),
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (163), (166), (171), (204), (207), (208),
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (211), (212), (217), (221), (222), (223),
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (270),
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (2265), (2268), (2270), (2273), (2279),
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2280), (2291), (2790), (2791), (function-axioms)
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1732.
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2792) all_57_13 = e3 & op(e0, e2) = e3
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2792) implies:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2793) all_57_13 = e3
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2794) (all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 =
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2794) gives:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2795) all_57_9 = e3 & op(e3, e0) = e3
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2795) implies:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2796) op(e3, e0) = e3
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2290), (2796), (function-axioms) are
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2458.
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2797) all_57_10 = e3 & op(e2, e0) = e3
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2797) implies:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2798) all_57_10 = e3
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2799) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2799) gives:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2800) all_57_6 = e3 & op(e1, e3) = e3
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2800) implies:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2801) all_57_6 = e3
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (232), (234),
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2294), (2801) are inconsistent by sub-proof
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2010.
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2802) all_57_7 = e3 & op(e1, e2) = e3
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2802) implies:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2803) all_57_7 = e3
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2804) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2804) gives:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2805) all_57_2 = e2 & op(e2, e3) = e2
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2805) implies:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2806) all_57_2 = e2
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2807) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2807) gives:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2808) all_57_0 = e0 & op(e3, e3) = e0
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2808) implies:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2809) op(e3, e3) = e0
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2291), (2809), (function-axioms) are
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2494.
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2810) all_57_2 = e0 & op(e2, e3) = e0
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2806), (2810) are inconsistent by sub-proof
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1700.
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2811) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2811) gives:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2812) all_57_6 = e0 & op(e1, e3) = e0
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2812) implies:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2813) all_57_6 = e0
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2660), (2813) imply:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2814) e1 = e0
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2279), (2814) imply:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2815) all_57_3 = e0
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (223), (224), (227),
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (2793), (2798), (2803), (2806), (2815) are
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1699.
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2816) all_57_12 = e0 & op(e0, e3) = e0
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2816) implies:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2817) all_57_12 = e0
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2818) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2818) gives:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2819) all_57_12 = e2 & op(e0, e3) = e2
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2819) implies:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2820) all_57_12 = e2
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2817), (2820) are inconsistent by sub-proof
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2385.
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2821) all_57_13 = e2 & op(e0, e2) = e2
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2821) implies:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2822) all_57_13 = e2
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2793), (2822) imply:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2823) e3 = e2
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2823) implies:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2824) e3 = e2
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2803), (2824) imply:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2825) all_57_7 = e2
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (2280), (2822), (2825), (function-axioms)
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1696.
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2826) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (221),
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (2296), (2651), (2655), (2826),
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1695.
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2827) all_57_3 = e2 & op(e2, e2) = e2
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2827) implies:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2828) op(e2, e2) = e2
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2280), (2828), (function-axioms) are
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2829) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2829) gives:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2830) all_57_5 = e2 & op(e2, e1) = e2
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2830) implies:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2831) all_57_5 = e2
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2832) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2832) gives:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2833) all_57_1 = e2 & op(e3, e2) = e2
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2833) implies:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2834) all_57_1 = e2
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2835) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2835) gives:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2836) all_57_4 = e3 & op(e3, e1) = e3
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (235),
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2291), (2834), (2836), (function-axioms) are
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1829.
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2837) all_57_5 = e3 & op(e2, e1) = e3
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2837) implies:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2838) op(e2, e1) = e3
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (70), (2268), (2291), (2688), (2691), (2838),
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1791.
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2839) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2839) gives:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2840) all_57_8 = e3 & op(e1, e1) = e3
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2840) implies:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2841) op(e1, e1) = e3
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (2841), (function-axioms) are
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2842) all_57_14 = e3 & op(e0, e1) = e3
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2842) implies:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2843) all_57_14 = e3
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2844) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2844) gives:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2845) all_57_9 = e2 & op(e3, e0) = e2
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2845) implies:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2846) all_57_9 = e2
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2847) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 220.09/37.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (2291), (2834), (2847),
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1722.
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2848) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2848) gives:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2849) all_57_4 = e0 & op(e3, e1) = e0
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2849) implies:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2850) all_57_4 = e0
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2655), (2850) imply:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2851) e1 = e0
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2279), (2851) imply:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2852) all_57_3 = e0
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (219), (221),
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (231), (233), (235), (374), (2291),
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2679), (2798), (2831), (2850), (2852),
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1691.
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2853) all_57_9 = e0 & op(e3, e0) = e0
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2846), (2853) are inconsistent by sub-proof
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1973.
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2854) all_57_10 = e2 & op(e2, e0) = e2
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2854) implies:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2855) all_57_10 = e2
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2798), (2855) imply:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2856) e3 = e2
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2793), (2856) imply:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2857) all_57_13 = e2
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2803), (2856) imply:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2858) all_57_7 = e2
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (2280), (2857), (2858), (function-axioms)
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1696.
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2859) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2859) gives:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2860) all_57_11 = e2 & op(e1, e0) = e2
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2860) implies:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2861) all_57_11 = e2
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (217), (218),
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (2296), (2655), (2660), (2803), (2831),
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2843), (2861), (function-axioms) are inconsistent
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1690.
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2862) all_57_15 = e2 & op(e0, e0) = e2
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2862) implies:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2863) op(e0, e0) = e2
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2651), (2863), (function-axioms) are
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2177.
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2864) all_57_3 = e2 & op(e2, e2) = e2
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2864) implies:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2865) op(e2, e2) = e2
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2280), (2865), (function-axioms) are
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2866) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2866) gives:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2867) all_57_7 = e2 & op(e1, e2) = e2
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2867) implies:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2868) all_57_7 = e2
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2803), (2868) imply:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2869) e3 = e2
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2869) implies:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2870) e3 = e2
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2793), (2870) imply:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2871) all_57_13 = e2
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (2280), (2868), (2871), (function-axioms)
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1696.
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2872) all_57_13 = e2 & op(e0, e2) = e2
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2872) implies:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2873) all_57_13 = e2
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2793), (2873) imply:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2874) e3 = e2
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2803), (2874) imply:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2875) all_57_7 = e2
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (2280), (2873), (2875), (function-axioms)
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1696.
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2876) all_57_10 = e2 & op(e2, e0) = e2
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2876) implies:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2877) all_57_10 = e2
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2798), (2877) imply:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2878) e3 = e2
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2878) implies:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2879) e3 = e2
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2793), (2879) imply:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2880) all_57_13 = e2
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2803), (2879) imply:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2881) all_57_7 = e2
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (2280), (2880), (2881), (function-axioms)
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1696.
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2882) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (161), (374), (2708), (2882),
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2310.
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2883) (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 =
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2883) gives:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2884) all_57_11 = e3 & op(e1, e0) = e3
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2884) implies:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2885) op(e1, e0) = e3
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (2708), (2885), (function-axioms) are
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2330.
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2886) all_57_15 = e3 & op(e0, e0) = e3
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2886) implies:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2887) all_57_15 = e3
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2888) op(e0, e0) = e3
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (208), (209),
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2793), (2887), (2888), (function-axioms) are
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1792.
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2889) (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 =
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2889) gives:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2890) all_57_14 = e3 & op(e0, e1) = e3
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2890) implies:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2891) all_57_14 = e3
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2892) (all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 =
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2892) gives:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2893) all_57_9 = e3 & op(e3, e0) = e3
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2893) implies:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2894) op(e3, e0) = e3
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2290), (2894), (function-axioms) are
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2458.
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2895) all_57_10 = e3 & op(e2, e0) = e3
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2895) implies:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2896) all_57_10 = e3
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2897) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2897) gives:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2898) all_57_6 = e3 & op(e1, e3) = e3
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2898) implies:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2899) all_57_6 = e3
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (232), (234),
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2294), (2899) are inconsistent by sub-proof
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2010.
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2900) all_57_7 = e3 & op(e1, e2) = e3
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2900) implies:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2901) all_57_7 = e3
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2902) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2902) gives:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2903) all_57_2 = e2 & op(e2, e3) = e2
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2903) implies:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2904) all_57_2 = e2
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2905) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (223),
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (2279), (2280), (2296), (2655),
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2891), (2905), (function-axioms) are inconsistent
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1715.
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2906) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2906) gives:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2907) all_57_5 = e0 & op(e2, e1) = e0
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2907) implies:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2908) all_57_5 = e0
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2909) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2909) gives:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2910) all_57_9 = e2 & op(e3, e0) = e2
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2910) implies:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2911) all_57_9 = e2
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2711) gives:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2912) all_55_11 = e2
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (2678), (2912) are inconsistent by
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2282.
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2913) all_55_11 = e1 | all_55_11 = e0
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2914) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2914) gives:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2915) all_57_0 = e0 & op(e3, e3) = e0
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2915) implies:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2916) op(e3, e3) = e0
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2291), (2916), (function-axioms) are
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2494.
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2917) all_57_1 = e0 & op(e3, e2) = e0
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2917) implies:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2918) all_57_1 = e0
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2913) gives:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2919) all_55_11 = e1
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (2666), (2919) are inconsistent by
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2309.
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2920) all_55_11 = e0
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (2920) imply:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2921) all_53_14 = e0
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2921) implies:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2922) all_53_14 = e0
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (2922) imply:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2923) ~ (all_53_12 = e0)
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2699), (2922) imply:
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2924) ~ (all_52_15 = e0)
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2924) implies:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2925) ~ (all_52_15 = e0)
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2703) gives:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2926) all_55_3 = e2
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (2926) imply:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2927) all_53_12 = e2
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2927) implies:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2928) all_53_12 = e2
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2697), (2928) imply:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2929) ~ (all_52_15 = e2)
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2929) implies:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2930) ~ (all_52_15 = e2)
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2931) all_55_7 = e3
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (237), (2290), (2655), (2690), (2696),
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2700), (2918), (2925), (2931), (function-axioms)
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2279.
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2932) all_55_7 = e2 | all_55_7 = e1 | all_55_7 = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2651), (2690), (2696), (2700), (2930), (2932),
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2078.
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2933) all_55_3 = e1 | all_55_3 = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (2649), (2923), (2933) are inconsistent by
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2132.
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2934) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2934) gives:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2935) all_57_4 = e0 & op(e3, e1) = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2655), (2935) are inconsistent by sub-proof
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2429.
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2936) all_57_9 = e0 & op(e3, e0) = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (223),
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (2279), (2280), (2296), (2655),
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2891), (2904), (2911), (2936), (function-axioms)
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1705.
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2937) all_57_10 = e2 & op(e2, e0) = e2
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (218), (221),
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (2296), (2655), (2891), (2896), (2937),
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1704.
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2938) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2938) gives:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2939) all_57_11 = e2 & op(e1, e0) = e2
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2939) implies:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2940) all_57_11 = e2
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2941) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (223),
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (2279), (2280), (2291), (2296),
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2655), (2891), (2941), (function-axioms) are
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1703.
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2942) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2942) gives:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2943) all_57_6 = e0 & op(e1, e3) = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2660), (2943) are inconsistent by sub-proof
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2347.
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2944) all_57_12 = e0 & op(e0, e3) = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2944) implies:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2945) all_57_12 = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2946) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2946) gives:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2947) all_57_12 = e2 & op(e0, e3) = e2
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2947) implies:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2948) all_57_12 = e2
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2945), (2948) imply:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2949) e2 = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2949) implies:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2950) e2 = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2904), (2950) imply:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2951) all_57_2 = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (223),
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (2279), (2280), (2296), (2655),
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2891), (2951), (function-axioms) are inconsistent
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1716.
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2952) all_57_13 = e2 & op(e0, e2) = e2
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2952) implies:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2953) all_57_13 = e2
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2954) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2954) gives:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2955) all_57_1 = e0 & op(e3, e2) = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2955) implies:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2956) all_57_1 = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2957) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2957) gives:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2958) all_57_6 = e0 & op(e1, e3) = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2958) implies:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2959) all_57_6 = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2660), (2959) imply:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2960) e1 = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2279), (2960) imply:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2961) all_57_3 = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (227), (228), (2901),
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2956), (2961) are inconsistent by sub-proof
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2098.
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2962) all_57_7 = e0 & op(e1, e2) = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2962) implies:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2963) all_57_7 = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (39), (217), (374), (2660), (2940),
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2963), (function-axioms) are inconsistent by
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2343.
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2964) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2964) gives:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2965) all_57_8 = e0 & op(e1, e1) = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2965) implies:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2966) op(e1, e1) = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2280), (2689), (2692), (2966),
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1843.
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2967) all_57_11 = e0 & op(e1, e0) = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2967) implies:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2968) all_57_11 = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2940), (2968) imply:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2969) e2 = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2904), (2969) imply:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2970) all_57_2 = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (223),
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (2279), (2280), (2296), (2655),
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2891), (2970), (function-axioms) are inconsistent
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1716.
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2971) all_57_3 = e0 & op(e2, e2) = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2971) implies:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2972) all_57_3 = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2973) op(e2, e2) = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (223), (224),
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (2274), (2908), (2972), (2973),
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1689.
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2974) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2974) gives:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2975) all_57_7 = e0 & op(e1, e2) = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2975) implies:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2976) all_57_7 = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (39), (217), (374), (2660), (2940),
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2976), (function-axioms) are inconsistent by
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2343.
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2977) all_57_13 = e0 & op(e0, e2) = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2977) implies:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2978) all_57_13 = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2953), (2978) imply:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2979) e2 = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2904), (2979) imply:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2980) all_57_2 = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (223),
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (2279), (2280), (2296), (2655),
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2891), (2980), (function-axioms) are inconsistent
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1716.
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2981) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (221),
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (2296), (2651), (2655), (2981),
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1695.
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2982) all_57_15 = e2 & op(e0, e0) = e2
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2982) implies:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2983) op(e0, e0) = e2
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2651), (2983), (function-axioms) are
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2177.
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2984) all_57_10 = e0 & op(e2, e0) = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2896), (2984) are inconsistent by sub-proof
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1981.
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2985) all_57_3 = e2 & op(e2, e2) = e2
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2985) implies:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2986) op(e2, e2) = e2
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2280), (2986), (function-axioms) are
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2987) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2987) gives:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2988) all_57_5 = e2 & op(e2, e1) = e2
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2988) implies:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2989) all_57_5 = e2
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2990) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2990) gives:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2991) all_57_2 = e0 & op(e2, e3) = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (221),
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (374), (2279), (2280),
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2296), (2655), (2989), (2991), (function-axioms)
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1701.
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2992) all_57_3 = e0 & op(e2, e2) = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2992) implies:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2993) op(e2, e2) = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2280), (2993), (function-axioms) are
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2994) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2994) gives:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2995) all_57_5 = e0 & op(e2, e1) = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2989), (2995) are inconsistent by sub-proof
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2428.
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2996) all_57_10 = e0 & op(e2, e0) = e0
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2896), (2996) are inconsistent by sub-proof
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1981.
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2997) all_57_10 = e2 & op(e2, e0) = e2
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2997) implies:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2998) all_57_10 = e2
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2896), (2998) imply:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2999) e3 = e2
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2999) implies:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3000) e3 = e2
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2891), (3000) imply:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3001) all_57_14 = e2
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (218), (221),
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (2296), (2655), (3001), (function-axioms)
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2408.
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3002) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (161), (374), (2708), (3002),
% 220.09/37.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2310.
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3003) (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 =
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (161), (207), (208),
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (2708), (2891), (3003), (function-axioms)
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2311.
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3004) all_57_15 = e3 & op(e0, e0) = e3
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3004) implies:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3005) all_57_15 = e3
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3006) op(e0, e0) = e3
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (70), (107),
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (163), (166), (171), (204), (207), (208),
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (211), (212), (217), (221), (222), (223),
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (270),
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (2265), (2268), (2270), (2273), (2279),
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2280), (2291), (3005), (3006), (function-axioms)
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1732.
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3007) all_55_9 = e2 | all_55_9 = e1 | all_55_9 = e0
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3007) gives:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3008) all_55_9 = e2
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (2677), (3008) are inconsistent by
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2274.
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3009) all_55_9 = e1 | all_55_9 = e0
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3009) gives:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3010) all_55_9 = e1
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (2271), (3010) are inconsistent by
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2273.
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3011) all_55_9 = e0
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (3011) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3012) all_53_6 = e0
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3012) implies:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3013) all_53_6 = e0
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (3013) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3014) ~ (all_53_14 = e0)
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3014) implies:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3015) ~ (all_53_14 = e0)
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2271), (3013) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3016) ~ (e1 = e0)
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3017) all_55_11 = e3
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (3017) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3018) all_53_14 = e3
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3018) implies:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3019) all_53_14 = e3
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2699), (3019) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3020) ~ (all_52_15 = e3)
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (198), (2280), (2651), (2690), (2696),
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2700), (3020), (function-axioms) are inconsistent
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1687.
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3021) all_55_11 = e2 | all_55_11 = e1 | all_55_11 = e0
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3021) gives:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3022) all_55_11 = e2
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (2678), (3022) are inconsistent by
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2282.
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3023) all_55_11 = e1 | all_55_11 = e0
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (2666), (3015), (3023) are inconsistent by
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2307.
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | (3024) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (195), (336), (374), (2296), (2651), (2661),
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | (3024), (function-axioms) are inconsistent by
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1686.
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | (3025) all_55_10 = e1 | all_55_10 = e0
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (2296), (2670), (3025) are inconsistent by
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1685.
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | (3026) all_57_12 = e1 & op(e0, e3) = e1
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (2648), (3026), (function-axioms) are
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1947.
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | (3027) all_57_9 = e1 & op(e3, e0) = e1
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2649), (3027), (function-axioms) are
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2131.
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.19 | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.19 | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | End of split
% 220.09/37.19 | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | End of split
% 220.09/37.19 | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | Case 2:
% 220.09/37.19 | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | (3028) all_24_2 = e0
% 220.09/37.19 | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | COMBINE_EQS: (315), (3028) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | (3029) all_6_2 = e0
% 220.09/37.19 | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | REDUCE: (350), (3029) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | (3030) ~ (all_53_2 = e0)
% 220.09/37.19 | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | REDUCE: (361), (3029) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | (3031) ~ (all_53_6 = e0)
% 220.09/37.19 | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | REDUCE: (363), (3029) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | (3032) ~ (all_53_8 = e0)
% 220.09/37.19 | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | REDUCE: (364), (3029) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | (3033) ~ (all_53_9 = e0)
% 220.09/37.19 | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | REDUCE: (366), (3029) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | (3034) ~ (all_53_11 = e0)
% 220.09/37.19 | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | REDUCE: (368), (3029) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | (3035) ~ (all_53_14 = e0)
% 220.09/37.19 | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | REDUCE: (374), (3029) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | (3036) ~ (e3 = e0)
% 220.09/37.19 | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 220.09/37.19 | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.19 | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | (3037) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 220.09/37.19 | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 220.09/37.19 | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (164), (3030), (3031), (3037),
% 220.09/37.19 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.09/37.19 | | | | | | | | | | | | | | | | | #2038.
% 220.09/37.19 | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.19 | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | (3038) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 220.09/37.19 | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 220.09/37.19 | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | BETA: splitting (3038) gives:
% 220.09/37.19 | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.19 | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | (3039) all_57_8 = e0 & op(e1, e1) = e0
% 220.09/37.19 | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | ALPHA: (3039) implies:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | (3040) all_57_8 = e0
% 220.09/37.19 | | | | | | | | | | | | | | | | | | (3041) op(e1, e1) = e0
% 220.09/37.19 | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 220.09/37.19 | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | (3042) ~ (all_30_2 = e1)
% 220.09/37.19 | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | REDUCE: (330), (3042) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | (3043) ~ (all_4_2 = e1)
% 220.09/37.19 | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | (3044) all_55_15 = e3
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (3044) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | (3045) all_4_2 = e3
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | REDUCE: (378), (3045) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | (3046) $false
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | CLOSE: (3046) is inconsistent.
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | (3047) ~ (all_55_15 = e3)
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | (3048) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3048) gives:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | (3049) all_55_15 = e2
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (3049) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | (3050) all_4_2 = e2
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (3050) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | (3051) $false
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3051) is inconsistent.
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | (3052) ~ (all_55_15 = e2)
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | (3053) all_55_15 = e1 | all_55_15 = e0
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3053) gives:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | (3054) all_55_15 = e1
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (3054) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | (3055) all_4_2 = e1
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3043), (3055) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | (3056) $false
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3056) is inconsistent.
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | (3057) all_55_15 = e0
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (3057) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | (3058) all_4_2 = e0
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (3058) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | (3059) ~ (all_53_7 = e0)
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (3058) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | (3060) ~ (e2 = e0)
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3043), (3058) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | (3061) ~ (e1 = e0)
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (3058) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | (3062) op(e0, e0) = e0
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | (3063) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3063) gives:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | (3064) all_57_1 = e0 & op(e3, e2) = e0
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3064) implies:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | (3065) op(e3, e2) = e0
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (107), (129), (136), (137), (159),
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | (161), (165), (169), (171), (190), (192), (196),
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | (207), (226), (244), (246), (256), (362), (370),
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | (371), (372), (373), (378), (2270), (2271),
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | (2272), (2280), (2291), (3041), (3043), (3062),
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | (3065), (function-axioms) are inconsistent by
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1834.
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | (3066) all_57_3 = e0 & op(e2, e2) = e0
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3066) implies:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | (3067) op(e2, e2) = e0
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2280), (3067), (function-axioms) are
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | (3068) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (3031), (3059), (3068),
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | #2024.
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.19 | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | (3069) all_30_2 = e1
% 220.09/37.19 | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (3069) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | (3070) all_4_2 = e1
% 220.09/37.19 | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | REDUCE: (351), (3070) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | (3071) ~ (all_53_3 = e1)
% 220.09/37.19 | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | REDUCE: (370), (3070) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | (3072) ~ (all_53_12 = e1)
% 220.09/37.19 | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | REDUCE: (373), (3070) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | (3073) ~ (e2 = e1)
% 220.09/37.19 | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | REDUCE: (36), (3070) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | (3074) op(e0, e0) = e1
% 220.09/37.19 | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | (3075) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3075) gives:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | (3076) all_57_6 = e1 & op(e1, e3) = e1
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3076) implies:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | (3077) all_57_6 = e1
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | (3078) op(e1, e3) = e1
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | (3079) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3079) gives:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | (3080) all_57_4 = e1 & op(e3, e1) = e1
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3080) implies:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | (3081) op(e3, e1) = e1
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_2, e1,
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (164), (3078) gives:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | (3082) all_53_2 = e1
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_8, e1,
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (170), (3081) gives:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | (3083) all_53_8 = e1
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (3082) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | (3084) ~ (all_53_3 = e1)
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (3082) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | (3085) ~ (all_53_6 = e1)
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (124), (3083) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | (3086) ~ (all_53_9 = e1)
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (3083) imply:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | (3087) ~ (all_53_11 = e1)
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3087) implies:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | (3088) ~ (all_53_11 = e1)
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | (3089) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3089) gives:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3090) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3090) implies:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3091) op(e3, e1) = all_52_5
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3092) op(all_52_5, all_52_5) = e1
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (39), (163), (170),
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (374), (2271), (3032),
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3040), (3041), (3077), (3080), (3091), (3092),
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | #1684.
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3093) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3093) implies:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3094) op(e2, e2) = all_52_11
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3095) op(all_52_11, all_52_11) = e2
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2280), (3041), (3094), (3095),
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | #1843.
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | (3096) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3096) gives:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3097) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3097) implies:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3098) op(e1, e3) = all_52_17
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3099) op(all_52_17, all_52_17) = e3
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (195), (336), (374), (3078), (3098), (3099),
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | #1998.
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3100) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3100) implies:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3101) op(e0, e0) = all_52_31
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3102) op(e0, e1) = all_52_29
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3103) op(e0, e3) = all_52_25
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3104) op(all_52_31, all_52_31) = e0
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3105) op(all_52_29, all_52_29) = e1
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3106) op(all_52_25, all_52_25) = e3
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_11,
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29, e1, e0, simplifying with (158), (3102)
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3107) all_53_11 = all_52_29
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_3,
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_25, e3, e0, simplifying with (160), (3103)
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3108) all_53_3 = all_52_25
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (3107) imply:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3109) all_55_14 = all_52_29
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (3108) imply:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3110) all_55_12 = all_52_25
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (3107), (3108) imply:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3111) ~ (all_52_25 = all_52_29)
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2287), (3108) imply:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3112) ~ (all_52_25 = e3)
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3071), (3108) imply:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3113) ~ (all_52_25 = e1)
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (3107) imply:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3114) ~ (all_53_9 = all_52_29)
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3088), (3107) imply:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3115) ~ (all_52_29 = e1)
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3034), (3107) imply:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3116) ~ (all_52_29 = e0)
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (3117) all_55_6 = e3
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (3117) imply:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (3118) all_53_9 = e3
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3118) implies:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (3119) all_53_9 = e3
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3114), (3119) imply:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (3120) ~ (all_52_29 = e3)
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3120) implies:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (3121) ~ (all_52_29 = e3)
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3122) all_55_14 = e3
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3109), (3122) imply:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3123) all_52_29 = e3
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3121), (3123) imply:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3124) $false
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3124) is inconsistent.
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3125) all_55_14 = e2 | all_55_14 = e1 | all_55_14 = e0
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3125) gives:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3126) all_55_14 = e2
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3109), (3126) imply:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3127) all_52_29 = e2
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3127) implies:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3128) all_52_29 = e2
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3111), (3128) imply:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3129) ~ (all_52_25 = e2)
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3130) all_55_12 = e3
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3110), (3112), (3130) are inconsistent by
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1683.
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3131) ~ (all_55_12 = e3)
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3132) all_55_12 = e2 | all_55_12 = e1 | all_55_12 = e0
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3132) gives:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3133) all_55_12 = e2
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3110), (3129), (3133) are inconsistent by
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1682.
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3134) all_55_12 = e1 | all_55_12 = e0
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3134) gives:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3135) all_55_12 = e1
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3110), (3113), (3135) are inconsistent by
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1681.
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3136) all_55_12 = e0
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3110), (3136) imply:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3137) all_52_25 = e0
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3137) implies:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3138) all_52_25 = e0
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3106), (3138) imply:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3139) op(e0, e0) = e3
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (70), (2268), (2291), (3101), (3104), (3139),
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1789.
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3140) all_55_14 = e1 | all_55_14 = e0
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (245), (3034), (3088), (3140) are inconsistent by
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1720.
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (3141) all_55_6 = e2 | all_55_6 = e1 | all_55_6 = e0
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (191), (259), (2273), (2291), (3033), (3105),
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (3109), (3114), (3115), (3116), (3141),
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | #1680.
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | (3142) all_57_5 = e1 & op(e2, e1) = e1
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (2273), (3142), (function-axioms) are
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2305.
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | (3143) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3143) gives:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | (3144) all_57_8 = e1 & op(e1, e1) = e1
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3144) implies:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | (3145) op(e1, e1) = e1
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3041), (3145), (function-axioms) are
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2427.
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | (3146) all_57_14 = e1 & op(e0, e1) = e1
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3146) implies:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | (3147) all_57_14 = e1
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | (3148) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3148) gives:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3149) all_57_4 = e3 & op(e3, e1) = e3
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3149) implies:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3150) all_57_4 = e3
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (235),
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (2291), (3150), (function-axioms) are inconsistent
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2474.
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3151) all_57_5 = e3 & op(e2, e1) = e3
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3151) implies:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3152) all_57_5 = e3
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | (3153) op(e2, e1) = e3
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (3154) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (228), (229),
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2280), (2291), (3154), (function-axioms) are
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1856.
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (3155) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3155) gives:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3156) all_57_4 = e1 & op(e3, e1) = e1
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3156) implies:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3157) all_57_4 = e1
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3158) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 =
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3158) gives:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3159) all_57_12 = e3 & op(e0, e3) = e3
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3159) implies:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3160) all_57_12 = e3
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (164), (230), (234), (2291),
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3030), (3077), (3160), (function-axioms) are
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2152.
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3161) all_57_13 = e3 & op(e0, e2) = e3
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3161) implies:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3162) all_57_13 = e3
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3163) all_57_15 = e0 & op(e0, e0) = e0
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3163) implies:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3164) op(e0, e0) = e0
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3074), (3164), (function-axioms) are
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2290.
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3165) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3165) implies:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3166) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3166) gives:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3167) all_57_12 = e0 & op(e0, e3) = e0
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3167) implies:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3168) all_57_12 = e0
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3169) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (3162), (3168), (3169) are inconsistent
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2061.
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3170) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3074), (3147), (3170), (function-axioms) are
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2176.
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3171) (all_57_13 = e0 & op(e0, e2) = e0) | (all_57_14 =
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3171) gives:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3172) all_57_13 = e0 & op(e0, e2) = e0
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3172) implies:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3173) all_57_13 = e0
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3162), (3173) are inconsistent by sub-proof
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2184.
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3174) all_57_14 = e0 & op(e0, e1) = e0
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3174) implies:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3175) all_57_14 = e0
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3147), (3175) imply:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3176) e1 = e0
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3157), (3176) imply:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3177) all_57_4 = e0
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (219), (220), (3152),
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3175), (3177), (function-axioms) are inconsistent
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2378.
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3178) (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 =
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3178) gives:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3179) all_57_14 = e3 & op(e0, e1) = e3
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3147), (3179) are inconsistent by sub-proof
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1966.
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3180) all_57_15 = e3 & op(e0, e0) = e3
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3180) implies:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3181) all_57_15 = e3
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3182) op(e0, e0) = e3
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (70), (107),
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (163), (166), (171), (204), (207), (211),
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (230), (232), (234), (270), (374),
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2265), (2268), (2270), (2273), (2280), (2291),
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2294), (3153), (3181), (3182), (function-axioms)
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1785.
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3183) all_57_9 = e1 & op(e3, e0) = e1
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (3072), (3183), (function-axioms) are
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2131.
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | (3184) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (374), (3147), (3184),
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | #2263.
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | (3185) all_57_7 = e1 & op(e1, e2) = e1
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2271), (3185), (function-axioms) are
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2265.
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | (3186) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3186) gives:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | (3187) all_57_8 = e1 & op(e1, e1) = e1
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3187) implies:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | (3188) op(e1, e1) = e1
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3041), (3188), (function-axioms) are
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2427.
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | (3189) all_57_11 = e1 & op(e1, e0) = e1
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3189) implies:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | (3190) all_57_11 = e1
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | (3191) (all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 =
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3191) gives:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | (3192) all_57_9 = e3 & op(e3, e0) = e3
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3192) implies:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | (3193) op(e3, e0) = e3
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2290), (3193), (function-axioms) are
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2458.
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | (3194) all_57_10 = e3 & op(e2, e0) = e3
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3194) implies:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | (3195) all_57_10 = e3
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | (3196) all_57_15 = e0 & op(e0, e0) = e0
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3196) implies:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | (3197) op(e0, e0) = e0
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3074), (3197), (function-axioms) are
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2290.
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | (3198) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3198) implies:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | (3199) (all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 & op(e1,
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3199) gives:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | (3200) all_57_9 = e0 & op(e3, e0) = e0
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3200) implies:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | (3201) all_57_9 = e0
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (212), (213), (3074),
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | (3190), (3201), (function-axioms) are inconsistent
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2047.
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | (3202) (all_57_10 = e0 & op(e2, e0) = e0) | (all_57_11 =
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3202) gives:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (3203) all_57_10 = e0 & op(e2, e0) = e0
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3203) implies:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (3204) all_57_10 = e0
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3195), (3204) imply:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (3205) e3 = e0
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2294), (3205) imply:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (3206) all_57_0 = e0
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (39), (160), (168),
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (232), (374), (2269), (3040),
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (3071), (3190), (3206), (function-axioms) are
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1678.
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (3207) all_57_11 = e0 & op(e1, e0) = e0
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (3035), (3207), (function-axioms) are
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2341.
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | (3208) (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 =
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3208) gives:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | (3209) all_57_11 = e3 & op(e1, e0) = e3
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3209) implies:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | (3210) all_57_11 = e3
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3190), (3210) are inconsistent by sub-proof
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | #2218.
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | (3211) all_57_15 = e3 & op(e0, e0) = e3
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3211) implies:
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | (3212) all_57_15 = e3
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | (3213) op(e0, e0) = e3
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (70), (107),
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | (137), (163), (166), (171), (204), (207), (208),
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | (209), (211), (212), (217), (221), (222), (223),
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (270),
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | (374), (2265), (2268), (2270), (2273), (2279),
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | (2280), (2291), (3212), (3213), (function-axioms)
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1732.
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.21 | | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.21 | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.21 | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | (3214) all_57_11 = e0 & op(e1, e0) = e0
% 220.09/37.21 | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (3035), (3214), (function-axioms) are
% 220.09/37.21 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2341.
% 220.09/37.21 | | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | End of split
% 220.09/37.21 | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | End of split
% 220.09/37.21 | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | End of split
% 220.09/37.21 | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | Case 2:
% 220.09/37.21 | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | (3215) all_57_1 = e3 & op(e3, e2) = e3
% 220.09/37.21 | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | REF_CLOSE: (171), (2288), (3215), (function-axioms) are
% 220.09/37.21 | | | | | | | | | | | | | | | inconsistent by sub-proof #2286.
% 220.09/37.21 | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | End of split
% 220.09/37.21 | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | Case 2:
% 220.09/37.21 | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | (3216) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_9 = e3
% 220.09/37.21 | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 220.09/37.21 | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (231), (233),
% 220.09/37.21 | | | | | | | | | | | | | | (235), (2290), (2291), (3216), (function-axioms)
% 220.09/37.21 | | | | | | | | | | | | | | are inconsistent by sub-proof #1955.
% 220.09/37.21 | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | End of split
% 220.09/37.21 | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | Case 2:
% 220.09/37.21 | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | (3217) all_55_0 = e2 | all_55_0 = e1 | all_55_0 = e0
% 220.09/37.21 | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | REF_CLOSE: (277), (376), (2282), (2284), (3217) are
% 220.09/37.21 | | | | | | | | | | | | | inconsistent by sub-proof #1953.
% 220.09/37.21 | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | End of split
% 220.09/37.21 | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | Case 2:
% 220.09/37.21 | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | (3218) all_20_2 = e2
% 220.09/37.21 | | | | | | | | | | | | (3219) ( ~ (all_20_0 = e1) & op(all_20_1, e3) = all_20_0
% 220.09/37.21 | | | | | | | | | | | | & op(e3, e2) = all_20_1 & $i(all_20_0) &
% 220.09/37.21 | | | | | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e0) & op(e3, e2)
% 220.09/37.21 | | | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 220.09/37.21 | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | COMBINE_EQS: (299), (3218) imply:
% 220.09/37.21 | | | | | | | | | | | | (3220) all_10_2 = e2
% 220.09/37.21 | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | COMBINE_EQS: (329), (3220) imply:
% 220.09/37.21 | | | | | | | | | | | | (3221) all_28_2 = e2
% 220.09/37.21 | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | REDUCE: (338), (3220) imply:
% 220.09/37.21 | | | | | | | | | | | | (3222) ~ (all_53_1 = e2)
% 220.09/37.21 | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | REDUCE: (342), (3220) imply:
% 220.09/37.21 | | | | | | | | | | | | (3223) ~ (all_53_3 = e2)
% 220.09/37.21 | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | REDUCE: (344), (3220) imply:
% 220.09/37.21 | | | | | | | | | | | | (3224) ~ (all_53_4 = e2)
% 220.09/37.21 | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | REDUCE: (346), (3220) imply:
% 220.09/37.21 | | | | | | | | | | | | (3225) ~ (all_53_8 = e2)
% 220.09/37.21 | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | REDUCE: (348), (3220) imply:
% 220.09/37.21 | | | | | | | | | | | | (3226) ~ (all_53_12 = e2)
% 220.09/37.21 | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | REDUCE: (45), (3220) imply:
% 220.09/37.21 | | | | | | | | | | | | (3227) op(e3, e3) = e2
% 220.09/37.21 | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | BETA: splitting (67) gives:
% 220.09/37.21 | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | Case 1:
% 220.09/37.21 | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | (3228) ~ (all_24_2 = e0)
% 220.09/37.21 | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | REDUCE: (315), (3228) imply:
% 220.09/37.21 | | | | | | | | | | | | | (3229) ~ (all_6_2 = e0)
% 220.09/37.21 | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | BETA: splitting (76) gives:
% 220.09/37.21 | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | Case 1:
% 220.09/37.21 | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | (3230) ~ (all_30_2 = e1)
% 220.09/37.21 | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | REDUCE: (330), (3230) imply:
% 220.09/37.21 | | | | | | | | | | | | | | (3231) ~ (all_4_2 = e1)
% 220.09/37.21 | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 220.09/37.21 | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | Case 1:
% 220.09/37.21 | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | (3232) all_55_15 = e3
% 220.09/37.21 | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | REF_CLOSE: (244), (378), (3232) are inconsistent by sub-proof
% 220.09/37.21 | | | | | | | | | | | | | | | #2503.
% 220.09/37.21 | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | Case 2:
% 220.09/37.21 | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | (3233) ~ (all_55_15 = e3)
% 220.09/37.21 | | | | | | | | | | | | | | | (3234) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 220.09/37.21 | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | BETA: splitting (3234) gives:
% 220.09/37.21 | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | Case 1:
% 220.09/37.21 | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | (3235) all_55_15 = e2
% 220.09/37.21 | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (3235) are inconsistent by sub-proof
% 220.09/37.21 | | | | | | | | | | | | | | | | #2502.
% 220.09/37.21 | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | Case 2:
% 220.09/37.21 | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | (3236) ~ (all_55_15 = e2)
% 220.09/37.21 | | | | | | | | | | | | | | | | (3237) all_55_15 = e1 | all_55_15 = e0
% 220.09/37.21 | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | BETA: splitting (3237) gives:
% 220.09/37.21 | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.21 | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | (3238) all_55_15 = e1
% 220.09/37.21 | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (3231), (3238) are inconsistent by
% 220.09/37.21 | | | | | | | | | | | | | | | | | sub-proof #2501.
% 220.09/37.21 | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.21 | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | (3239) all_55_15 = e0
% 220.09/37.21 | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (3239) imply:
% 220.09/37.21 | | | | | | | | | | | | | | | | | (3240) all_4_2 = e0
% 220.09/37.21 | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | SIMP: (3240) implies:
% 220.09/37.21 | | | | | | | | | | | | | | | | | (3241) all_4_2 = e0
% 220.09/37.21 | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | REDUCE: (351), (3241) imply:
% 220.09/37.21 | | | | | | | | | | | | | | | | | (3242) ~ (all_53_3 = e0)
% 220.09/37.21 | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | REDUCE: (362), (3241) imply:
% 220.09/37.21 | | | | | | | | | | | | | | | | | (3243) ~ (all_53_7 = e0)
% 220.09/37.21 | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | REDUCE: (369), (3241) imply:
% 220.09/37.21 | | | | | | | | | | | | | | | | | (3244) ~ (all_53_11 = e0)
% 220.09/37.21 | | | | | | | | | | | | | | | | |
% 220.09/37.21 | | | | | | | | | | | | | | | | | REDUCE: (370), (3241) imply:
% 220.09/37.21 | | | | | | | | | | | | | | | | | (3245) ~ (all_53_12 = e0)
% 220.09/37.21 | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | REDUCE: (371), (3241) imply:
% 220.09/37.22 | | | | | | | | | | | | | | | | | (3246) ~ (all_53_13 = e0)
% 220.09/37.22 | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | REDUCE: (372), (3241) imply:
% 220.09/37.22 | | | | | | | | | | | | | | | | | (3247) ~ (all_53_14 = e0)
% 220.09/37.22 | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | REDUCE: (378), (3241) imply:
% 220.09/37.22 | | | | | | | | | | | | | | | | | (3248) ~ (e3 = e0)
% 220.09/37.22 | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | REDUCE: (373), (3241) imply:
% 220.09/37.22 | | | | | | | | | | | | | | | | | (3249) ~ (e2 = e0)
% 220.09/37.22 | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | REDUCE: (3231), (3241) imply:
% 220.09/37.22 | | | | | | | | | | | | | | | | | (3250) ~ (e1 = e0)
% 220.09/37.22 | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 220.09/37.22 | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.22 | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | (3251) all_57_15 = e0 & op(e0, e0) = e0
% 220.09/37.22 | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | ALPHA: (3251) implies:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | (3252) all_57_15 = e0
% 220.09/37.22 | | | | | | | | | | | | | | | | | | (3253) op(e0, e0) = e0
% 220.09/37.22 | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 220.09/37.22 | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | (3254) ~ (all_38_2 = e2)
% 220.09/37.22 | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | REDUCE: (249), (3254) imply:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | (3255) ~ (all_6_2 = e2)
% 220.09/37.22 | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | (3256) all_55_10 = e3
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (374), (3256) are inconsistent by sub-proof
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | #2500.
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | (3257) ~ (all_55_10 = e3)
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | (3258) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3258) gives:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | (3259) all_55_10 = e2
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (3255), (3259) are inconsistent by
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | sub-proof #2499.
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | (3260) ~ (all_55_10 = e2)
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | (3261) all_55_10 = e1 | all_55_10 = e0
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3261) gives:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | (3262) all_55_10 = e1
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (3262) imply:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | (3263) all_6_2 = e1
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3263) implies:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | (3264) all_6_2 = e1
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3255), (3264) imply:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | (3265) ~ (e2 = e1)
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (3264) imply:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | (3266) op(e1, e1) = e1
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | (3267) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (228), (229),
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | (2280), (3227), (3267), (function-axioms) are
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1677.
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | (3268) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3268) gives:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | (3269) all_57_4 = e1 & op(e3, e1) = e1
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3269) implies:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | (3270) all_57_4 = e1
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | (3271) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3271) gives:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (3272) all_57_4 = e0 & op(e3, e1) = e0
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3272) implies:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (3273) all_57_4 = e0
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3270), (3273) are inconsistent by sub-proof
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | #2438.
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (3274) all_57_5 = e0 & op(e2, e1) = e0
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3274) implies:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (3275) all_57_5 = e0
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3276) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 =
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3276) gives:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3277) all_57_9 = e1 & op(e3, e0) = e1
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3277) implies:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3278) all_57_9 = e1
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (231), (237), (3227),
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3270), (3278), (function-axioms) are inconsistent
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1672.
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3279) all_57_10 = e1 & op(e2, e0) = e1
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2274), (3279), (function-axioms) are
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2084.
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3280) (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 =
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3280) gives:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3281) all_57_11 = e1 & op(e1, e0) = e1
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3281) implies:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3282) all_57_11 = e1
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3283) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3283) gives:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3284) all_57_9 = e2 & op(e3, e0) = e2
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3284) implies:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3285) op(e3, e0) = e2
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (3226), (3285), (function-axioms) are
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2331.
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3286) all_57_10 = e2 & op(e2, e0) = e2
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3286) implies:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3287) all_57_10 = e2
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3288) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_7 = e2
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3288) gives:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3289) all_57_6 = e2 & op(e1, e3) = e2
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3289) implies:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3290) all_57_6 = e2
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3291) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (224), (225), (2280),
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3227), (3275), (3291), (function-axioms) are
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1671.
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3292) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (160), (3242), (3290), (3292),
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1670.
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3293) all_57_7 = e2 & op(e1, e2) = e2
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3293) implies:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3294) all_57_7 = e2
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.09/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3295) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (224), (225), (2280),
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3227), (3275), (3295), (function-axioms) are
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1671.
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3296) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3296) gives:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3297) all_57_6 = e0 & op(e1, e3) = e0
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3297) implies:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3298) all_57_6 = e0
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (39), (217), (374), (3282), (3294),
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3298), (function-axioms) are inconsistent by
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1818.
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3299) all_57_12 = e0 & op(e0, e3) = e0
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3299) implies:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3300) op(e0, e3) = e0
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (3242), (3300), (function-axioms) are
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2366.
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3301) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_11 =
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3301) gives:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3302) all_57_8 = e2 & op(e1, e1) = e2
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3302) implies:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3303) op(e1, e1) = e2
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3266), (3303), (function-axioms) are
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2423.
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3304) all_57_11 = e2 & op(e1, e0) = e2
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3304) implies:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3305) all_57_11 = e2
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3306) (all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 =
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3306) gives:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3307) all_57_9 = e3 & op(e3, e0) = e3
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3307) implies:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3308) all_57_9 = e3
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (211), (3252), (3287), (3305),
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3308) are inconsistent by sub-proof #1668.
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3309) all_57_10 = e3 & op(e2, e0) = e3
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3287), (3309) are inconsistent by sub-proof
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2051.
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3310) (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 =
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (3253), (3305), (3310),
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1667.
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3311) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (3252), (3282), (3311) are inconsistent
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1666.
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3312) all_57_15 = e1 & op(e0, e0) = e1
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3312) implies:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3313) op(e0, e0) = e1
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3253), (3313), (function-axioms) are
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2290.
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | (3314) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (220), (221),
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | (374), (3266), (3270), (3314), (function-axioms)
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2417.
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | (3315) all_57_9 = e1 & op(e3, e0) = e1
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3315) implies:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | (3316) all_57_9 = e1
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | (3317) op(e3, e0) = e1
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | (3318) (all_57_12 = e1 & op(e0, e3) = e1) | (all_57_13 =
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3318) gives:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (3319) all_57_12 = e1 & op(e0, e3) = e1
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (88), (107), (113), (121), (122), (124),
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (126), (127), (129), (134), (135), (136), (137),
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (140), (141), (142), (144), (159), (160), (161),
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (164), (165), (166), (169), (170), (171),
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (192), (194), (195), (196), (202), (203),
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (207), (208), (209), (210), (211), (212),
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (236),
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (245), (246), (248), (249), (256), (268),
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (270), (336), (361), (363), (368), (374),
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (2271), (2280), (3223), (3224), (3225), (3226),
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (3227), (3242), (3243), (3244), (3245), (3246),
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (3247), (3252), (3253), (3266), (3316), (3317),
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (3319), (function-axioms) are inconsistent by
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1599.
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (3320) all_57_13 = e1 & op(e0, e2) = e1
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3320) implies:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (3321) all_57_13 = e1
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3322) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 220.47/37.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (88),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (107), (111), (113), (121), (122), (124), (126),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (127), (129), (134), (135), (136), (137), (140),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (141), (142), (144), (159), (160), (161), (163),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (166), (168), (169), (170), (171),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (192), (194), (195), (196), (202), (203),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (207), (208), (209), (210), (211), (212),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (216), (217), (218), (219),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (225), (226),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (244), (245), (246), (248), (249),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (256), (268), (269), (270), (336), (361), (362),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (363), (368), (370), (371), (372), (373), (374),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2269), (2270), (2271), (2274), (2280), (3223),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3224), (3225), (3226), (3227), (3229), (3231),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3237), (3242), (3243), (3244), (3245), (3246),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3247), (3252), (3253), (3266), (3316), (3317),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3322), (function-axioms) are inconsistent by
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1592.
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3323) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3323) gives:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3324) all_57_14 = e2 & op(e0, e1) = e2
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3324) implies:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3325) all_57_14 = e2
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3326) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (237),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2280), (3227), (3326), (function-axioms) are
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1591.
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3327) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3327) gives:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3328) all_57_7 = e2 & op(e1, e2) = e2
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3328) implies:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3329) all_57_7 = e2
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3330) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3330) gives:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3331) all_57_1 = e3 & op(e3, e2) = e3
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3331) implies:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3332) all_57_1 = e3
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3333) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (2279), (2280), (3227), (3321), (3329),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3332), (3333), (function-axioms) are inconsistent
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1588.
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3334) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3334) gives:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3335) all_57_6 = e1 & op(e1, e3) = e1
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3335) implies:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3336) all_57_6 = e1
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3337) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3337) gives:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3338) all_57_6 = e0 & op(e1, e3) = e0
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3338) implies:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3339) all_57_6 = e0
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3336), (3339) imply:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3340) e1 = e0
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (227), (2279), (3321), (3329),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3332), (3340) are inconsistent by sub-proof
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1587.
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3341) all_57_7 = e0 & op(e1, e2) = e0
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3341) implies:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3342) all_57_7 = e0
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3329), (3342) imply:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3343) e2 = e0
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3325), (3343) imply:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3344) all_57_14 = e0
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (209), (210), (3252),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3253), (3321), (3344), (function-axioms) are
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2123.
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3345) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3345) gives:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3346) all_57_8 = e0 & op(e1, e1) = e0
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3346) implies:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3347) op(e1, e1) = e0
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3266), (3347), (function-axioms) are
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2427.
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3348) all_57_11 = e0 & op(e1, e0) = e0
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (39), (217), (374), (3329), (3336),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3348), (function-axioms) are inconsistent by
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1586.
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3349) all_57_12 = e1 & op(e0, e3) = e1
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (88), (107), (113), (121), (122), (124),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (126), (127), (129), (134), (135), (136), (137),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (140), (141), (142), (144), (159), (160), (161),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (164), (165), (166), (169), (170), (171),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (192), (194), (195), (196), (202), (203),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (207), (208), (209), (210), (211), (212),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (236),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (245), (246), (248), (249), (256), (268),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (270), (336), (361), (363), (368), (374),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2271), (2280), (3223), (3224), (3225), (3226),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3227), (3242), (3243), (3244), (3245), (3246),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3247), (3252), (3253), (3266), (3316), (3317),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3349), (function-axioms) are inconsistent by
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1599.
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3350) all_57_3 = e3 & op(e2, e2) = e3
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3350) implies:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3351) op(e2, e2) = e3
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2280), (3351), (function-axioms) are
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1912.
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3352) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3352) gives:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3353) all_57_7 = e3 & op(e1, e2) = e3
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3353) implies:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3354) all_57_7 = e3
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3329), (3354) are inconsistent by sub-proof
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2102.
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3355) all_57_13 = e3 & op(e0, e2) = e3
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3355) implies:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3356) all_57_13 = e3
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3321), (3356) are inconsistent by sub-proof
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2268.
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3357) all_57_13 = e2 & op(e0, e2) = e2
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3357) implies:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3358) all_57_13 = e2
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (208), (210),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3253), (3325), (3358), (function-axioms) are
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1581.
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3359) all_57_15 = e2 & op(e0, e0) = e2
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3359) implies:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3360) all_57_15 = e2
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3252), (3360) are inconsistent by sub-proof
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2126.
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | (3361) (all_57_14 = e1 & op(e0, e1) = e1) | (all_57_15 =
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3361) gives:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (3362) all_57_14 = e1 & op(e0, e1) = e1
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3362) implies:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (3363) all_57_14 = e1
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3364) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (88),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (107), (111), (113), (121), (122), (124), (126),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (127), (129), (134), (135), (136), (137), (140),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (141), (142), (144), (159), (160), (161), (163),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (166), (168), (169), (170), (171),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (192), (194), (195), (196), (202), (203),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (207), (208), (209), (210), (211), (212),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (216), (217), (218), (219),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (225), (226),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (244), (245), (246), (248), (249),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (256), (268), (269), (270), (336), (361), (362),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (363), (368), (370), (371), (372), (373), (374),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2269), (2270), (2271), (2274), (2280), (3223),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3224), (3225), (3226), (3227), (3229), (3231),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3237), (3242), (3243), (3244), (3245), (3246),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3247), (3252), (3253), (3266), (3316), (3317),
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3364), (function-axioms) are inconsistent by
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1592.
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3365) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3365) gives:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3366) all_57_14 = e2 & op(e0, e1) = e2
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3366) implies:
% 220.47/37.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3367) all_57_14 = e2
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3363), (3367) are inconsistent by sub-proof
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2178.
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3368) all_57_15 = e2 & op(e0, e0) = e2
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3368) implies:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3369) all_57_15 = e2
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3252), (3369) are inconsistent by sub-proof
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2126.
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (3370) all_57_15 = e1 & op(e0, e0) = e1
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3370) implies:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (3371) op(e0, e0) = e1
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3253), (3371), (function-axioms) are
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2290.
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | (3372) all_55_10 = e0
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (3229), (3372) are inconsistent by
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2118.
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.24 | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | (3373) all_38_2 = e2
% 220.47/37.24 | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (3373) imply:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | (3374) all_6_2 = e2
% 220.47/37.24 | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | REDUCE: (374), (3374) imply:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | (3375) ~ (e3 = e2)
% 220.47/37.24 | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | REDUCE: (39), (3374) imply:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | (3376) op(e1, e1) = e2
% 220.47/37.24 | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | (3377) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (237),
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | (2280), (3227), (3377), (function-axioms) are
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1591.
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | (3378) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3378) gives:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | (3379) all_57_7 = e2 & op(e1, e2) = e2
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3379) implies:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | (3380) all_57_7 = e2
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (161), (163),
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | (214), (215), (217), (374), (2271), (3229),
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | (3247), (3376), (3380), (function-axioms) are
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1817.
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | (3381) all_57_13 = e2 & op(e0, e2) = e2
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3381) implies:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | (3382) op(e0, e2) = e2
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (107),
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | (111), (113), (159), (161), (163), (164), (165),
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | (169), (171), (194), (195), (202), (207), (212),
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (217), (226), (244), (248),
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | (268), (336), (362), (370), (371), (372), (373),
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | (374), (2270), (2271), (2274), (2280), (3226),
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | (3227), (3229), (3231), (3237), (3246), (3247),
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | (3252), (3253), (3376), (3382), (function-axioms)
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1596.
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.24 | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.24 | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.24 | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | (3383) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 220.47/37.24 | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 220.47/37.24 | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 220.47/37.24 | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 220.47/37.24 | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 220.47/37.24 | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (165), (169), (3245), (3246), (3247),
% 220.47/37.24 | | | | | | | | | | | | | | | | | | (3383), (function-axioms) are inconsistent by
% 220.47/37.24 | | | | | | | | | | | | | | | | | | sub-proof #2112.
% 220.47/37.24 | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | End of split
% 220.47/37.24 | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | End of split
% 220.47/37.24 | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | End of split
% 220.47/37.24 | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | End of split
% 220.47/37.24 | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | Case 2:
% 220.47/37.24 | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | (3384) all_30_2 = e1
% 220.47/37.24 | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | COMBINE_EQS: (330), (3384) imply:
% 220.47/37.24 | | | | | | | | | | | | | | (3385) all_4_2 = e1
% 220.47/37.24 | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | SIMP: (3385) implies:
% 220.47/37.24 | | | | | | | | | | | | | | (3386) all_4_2 = e1
% 220.47/37.24 | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | REDUCE: (351), (3386) imply:
% 220.47/37.24 | | | | | | | | | | | | | | (3387) ~ (all_53_3 = e1)
% 220.47/37.24 | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | REDUCE: (370), (3386) imply:
% 220.47/37.24 | | | | | | | | | | | | | | (3388) ~ (all_53_12 = e1)
% 220.47/37.24 | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | REDUCE: (373), (3386) imply:
% 220.47/37.24 | | | | | | | | | | | | | | (3389) ~ (e2 = e1)
% 220.47/37.24 | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | REDUCE: (36), (3386) imply:
% 220.47/37.24 | | | | | | | | | | | | | | (3390) op(e0, e0) = e1
% 220.47/37.24 | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 220.47/37.24 | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | Case 1:
% 220.47/37.24 | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | (3391) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 220.47/37.24 | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 220.47/37.24 | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (228), (229),
% 220.47/37.24 | | | | | | | | | | | | | | | (2280), (3227), (3391), (function-axioms) are
% 220.47/37.24 | | | | | | | | | | | | | | | inconsistent by sub-proof #1677.
% 220.47/37.24 | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | Case 2:
% 220.47/37.24 | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | (3392) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 220.47/37.24 | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 220.47/37.24 | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | BETA: splitting (3392) gives:
% 220.47/37.24 | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | Case 1:
% 220.47/37.24 | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | (3393) all_57_4 = e1 & op(e3, e1) = e1
% 220.47/37.24 | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | ALPHA: (3393) implies:
% 220.47/37.24 | | | | | | | | | | | | | | | | (3394) all_57_4 = e1
% 220.47/37.24 | | | | | | | | | | | | | | | | (3395) op(e3, e1) = e1
% 220.47/37.24 | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 220.47/37.24 | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.24 | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | (3396) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 220.47/37.24 | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 220.47/37.24 | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (168), (2269), (3227), (3396),
% 220.47/37.24 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.47/37.24 | | | | | | | | | | | | | | | | | #1598.
% 220.47/37.24 | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.24 | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | (3397) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 220.47/37.24 | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 220.47/37.24 | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | BETA: splitting (3397) gives:
% 220.47/37.24 | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.24 | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | (3398) all_57_6 = e1 & op(e1, e3) = e1
% 220.47/37.24 | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | ALPHA: (3398) implies:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | (3399) all_57_6 = e1
% 220.47/37.24 | | | | | | | | | | | | | | | | | | (3400) op(e1, e3) = e1
% 220.47/37.24 | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_2, e1,
% 220.47/37.24 | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (164), (3400) gives:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | (3401) all_53_2 = e1
% 220.47/37.24 | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_8, e1,
% 220.47/37.24 | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (170), (3395) gives:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | (3402) all_53_8 = e1
% 220.47/37.24 | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | REDUCE: (363), (3402) imply:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | (3403) ~ (all_6_2 = e1)
% 220.47/37.24 | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | SIMP: (3403) implies:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | (3404) ~ (all_6_2 = e1)
% 220.47/37.24 | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 220.47/37.24 | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | (3405) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 220.47/37.24 | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | BETA: splitting (3405) gives:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | (3406) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | ALPHA: (3406) implies:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | (3407) op(e3, e1) = all_52_5
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | (3408) op(e3, e3) = all_52_1
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | (3409) op(all_52_5, all_52_5) = e1
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | (3410) op(all_52_1, all_52_1) = e3
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | (3411) all_55_10 = e3
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (3411) imply:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | (3412) all_6_2 = e3
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | REDUCE: (374), (3412) imply:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | (3413) $false
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3413) is inconsistent.
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | (3414) ~ (all_55_10 = e3)
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | (3415) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3415) gives:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | (3416) all_55_10 = e2
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (3416) imply:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | (3417) all_6_2 = e2
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (374), (3417) imply:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | (3418) ~ (e3 = e2)
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (3417) imply:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | (3419) op(e1, e1) = e2
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | (3420) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3420) gives:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | (3421) all_57_9 = e2 & op(e3, e0) = e2
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3421) implies:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | (3422) op(e3, e0) = e2
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (3226), (3422), (function-axioms) are
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2331.
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | (3423) all_57_10 = e2 & op(e2, e0) = e2
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (165),
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | (209), (218), (221), (226), (227), (228), (229),
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (237), (374), (2274), (2280),
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | (3223), (3227), (3229), (3390), (3394), (3395),
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | (3407), (3408), (3409), (3410), (3419), (3423),
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | #1578.
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | (3424) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3424) gives:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | (3425) all_57_11 = e2 & op(e1, e0) = e2
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3425) implies:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | (3426) all_57_11 = e2
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | (3427) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (237),
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | (3227), (3408), (3410), (3427), (function-axioms)
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1580.
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | (3428) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3428) gives:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (3429) all_57_7 = e2 & op(e1, e2) = e2
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (209),
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (221), (226), (227), (228), (229), (374),
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (2280), (3223), (3229), (3390), (3394), (3429),
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | #1579.
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (3430) all_57_13 = e2 & op(e0, e2) = e2
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3430) implies:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (3431) all_57_13 = e2
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3432) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3432) gives:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3433) all_57_2 = e2 & op(e2, e3) = e2
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (209),
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (217), (221), (223), (224), (226), (227),
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (232), (236), (374), (2279),
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2280), (3227), (3390), (3394), (3399), (3426),
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3431), (3433), (function-axioms) are inconsistent
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1574.
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3434) all_57_3 = e2 & op(e2, e2) = e2
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3434) implies:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3435) op(e2, e2) = e2
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3227), (3408), (3410), (3435),
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1951.
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3436) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3436) gives:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3437) all_57_5 = e2 & op(e2, e1) = e2
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (217), (218),
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (374), (3229), (3394), (3399), (3426),
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3437), (function-axioms) are inconsistent by
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1573.
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3438) all_57_10 = e2 & op(e2, e0) = e2
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (165),
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (218), (221), (226), (227), (228), (229),
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (237), (374), (2274), (2280),
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3223), (3227), (3229), (3390), (3394), (3395),
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3407), (3408), (3409), (3410), (3419), (3438),
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1578.
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | (3439) all_57_15 = e2 & op(e0, e0) = e2
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3439) implies:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | (3440) op(e0, e0) = e2
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3390), (3440), (function-axioms) are
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2177.
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | (3441) all_55_10 = e1 | all_55_10 = e0
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (3229), (3404), (3441) are inconsistent by
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1685.
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | (3442) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | ALPHA: (3442) implies:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | (3443) op(e2, e0) = all_52_15
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | (3444) op(e2, e2) = all_52_11
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | (3445) op(all_52_15, all_52_15) = e0
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | (3446) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3446) gives:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | (3447) all_57_9 = e2 & op(e3, e0) = e2
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3447) implies:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | (3448) op(e3, e0) = e2
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (3226), (3448), (function-axioms) are
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2331.
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | (3449) all_57_10 = e2 & op(e2, e0) = e2
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (165),
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | (209), (218), (221), (226), (227), (228), (229),
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | (231), (233), (237), (374), (2280), (3223),
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | (3227), (3229), (3390), (3394), (3443), (3444),
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | (3445), (3449), (function-axioms) are inconsistent
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1572.
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | (3450) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3450) gives:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | (3451) all_57_11 = e2 & op(e1, e0) = e2
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3451) implies:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | (3452) all_57_11 = e2
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | (3453) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (237),
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | (2280), (3227), (3453), (function-axioms) are
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1591.
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | (3454) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3454) gives:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | (3455) all_57_7 = e2 & op(e1, e2) = e2
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (209),
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | (218), (221), (226), (227), (228), (229), (374),
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | (2280), (3223), (3229), (3390), (3394), (3455),
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | #1579.
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | (3456) all_57_13 = e2 & op(e0, e2) = e2
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3456) implies:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | (3457) all_57_13 = e2
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | (3458) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3458) gives:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (3459) all_57_2 = e2 & op(e2, e3) = e2
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (209),
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (217), (221), (223), (224), (226), (227),
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (232), (236), (374), (2279),
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (2280), (3227), (3390), (3394), (3399), (3452),
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (3457), (3459), (function-axioms) are inconsistent
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1574.
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (3460) all_57_3 = e2 & op(e2, e2) = e2
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3460) implies:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (3461) op(e2, e2) = e2
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2280), (3461), (function-axioms) are
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | (3462) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3462) gives:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (3463) all_57_5 = e2 & op(e2, e1) = e2
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (217), (218),
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (374), (3229), (3394), (3399), (3452),
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (3463), (function-axioms) are inconsistent by
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1573.
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (3464) all_57_10 = e2 & op(e2, e0) = e2
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (165),
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (218), (221), (226), (227), (228), (229),
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (237), (374), (2280), (3223),
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (3227), (3229), (3390), (3394), (3443), (3444),
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (3445), (3464), (function-axioms) are inconsistent
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1572.
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | (3465) all_57_15 = e2 & op(e0, e0) = e2
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3465) implies:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | (3466) op(e0, e0) = e2
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3390), (3466), (function-axioms) are
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2177.
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.25 | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | (3467) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 220.47/37.25 | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (195), (336), (374), (3229), (3390), (3400),
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | (3467), (function-axioms) are inconsistent by
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | sub-proof #1686.
% 220.47/37.25 | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.25 | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.25 | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | (3468) all_57_12 = e1 & op(e0, e3) = e1
% 220.47/37.25 | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (3387), (3468), (function-axioms) are
% 220.47/37.25 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1947.
% 220.47/37.25 | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | End of split
% 220.47/37.25 | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | End of split
% 220.47/37.25 | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | Case 2:
% 220.47/37.25 | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | (3469) all_57_9 = e1 & op(e3, e0) = e1
% 220.47/37.25 | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | REF_CLOSE: (169), (3388), (3469), (function-axioms) are
% 220.47/37.25 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2131.
% 220.47/37.25 | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | End of split
% 220.47/37.25 | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | End of split
% 220.47/37.25 | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | End of split
% 220.47/37.25 | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | Case 2:
% 220.47/37.25 | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | (3470) all_24_2 = e0
% 220.47/37.25 | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | COMBINE_EQS: (315), (3470) imply:
% 220.47/37.25 | | | | | | | | | | | | | (3471) all_6_2 = e0
% 220.47/37.25 | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | REDUCE: (350), (3471) imply:
% 220.47/37.25 | | | | | | | | | | | | | (3472) ~ (all_53_2 = e0)
% 220.47/37.25 | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | REDUCE: (361), (3471) imply:
% 220.47/37.25 | | | | | | | | | | | | | (3473) ~ (all_53_6 = e0)
% 220.47/37.25 | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | REDUCE: (363), (3471) imply:
% 220.47/37.25 | | | | | | | | | | | | | (3474) ~ (all_53_8 = e0)
% 220.47/37.25 | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | REDUCE: (364), (3471) imply:
% 220.47/37.25 | | | | | | | | | | | | | (3475) ~ (all_53_9 = e0)
% 220.47/37.25 | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | REDUCE: (366), (3471) imply:
% 220.47/37.25 | | | | | | | | | | | | | (3476) ~ (all_53_11 = e0)
% 220.47/37.25 | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | REDUCE: (368), (3471) imply:
% 220.47/37.25 | | | | | | | | | | | | | (3477) ~ (all_53_14 = e0)
% 220.47/37.25 | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | REDUCE: (374), (3471) imply:
% 220.47/37.25 | | | | | | | | | | | | | (3478) ~ (e3 = e0)
% 220.47/37.25 | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | BETA: splitting (214) gives:
% 220.47/37.25 | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | Case 1:
% 220.47/37.25 | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | (3479) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 220.47/37.25 | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 220.47/37.25 | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | REF_CLOSE: (163), (164), (3472), (3473), (3479),
% 220.47/37.25 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.47/37.25 | | | | | | | | | | | | | | #2038.
% 220.47/37.25 | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | Case 2:
% 220.47/37.25 | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | (3480) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 220.47/37.25 | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 220.47/37.25 | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | BETA: splitting (3480) gives:
% 220.47/37.25 | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | Case 1:
% 220.47/37.25 | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | (3481) all_57_8 = e0 & op(e1, e1) = e0
% 220.47/37.25 | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | ALPHA: (3481) implies:
% 220.47/37.25 | | | | | | | | | | | | | | | (3482) all_57_8 = e0
% 220.47/37.25 | | | | | | | | | | | | | | | (3483) op(e1, e1) = e0
% 220.47/37.25 | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 220.47/37.25 | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | Case 1:
% 220.47/37.25 | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | (3484) ~ (all_28_2 = e2)
% 220.47/37.25 | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | REDUCE: (3221), (3484) imply:
% 220.47/37.25 | | | | | | | | | | | | | | | | (3485) $false
% 220.47/37.25 | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | CLOSE: (3485) is inconsistent.
% 220.47/37.25 | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | Case 2:
% 220.47/37.25 | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | (3486) ( ~ (all_28_0 = e0) & op(all_28_1, e3) = all_28_0
% 220.47/37.25 | | | | | | | | | | | | | | | | & op(e3, e2) = all_28_1 & $i(all_28_0) &
% 220.47/37.25 | | | | | | | | | | | | | | | | $i(all_28_1)) | ( ~ (all_28_1 = e1) & op(e3, e2)
% 220.47/37.25 | | | | | | | | | | | | | | | | = all_28_1 & $i(all_28_1))
% 220.47/37.25 | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 220.47/37.25 | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.25 | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | (3487) ~ (all_30_2 = e1)
% 220.47/37.25 | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | REDUCE: (330), (3487) imply:
% 220.47/37.25 | | | | | | | | | | | | | | | | | (3488) ~ (all_4_2 = e1)
% 220.47/37.25 | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 220.47/37.25 | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.25 | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | (3489) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 220.47/37.25 | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 220.47/37.25 | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 220.47/37.25 | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 220.47/37.25 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 220.47/37.25 | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 220.47/37.25 | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 220.47/37.25 | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 220.47/37.25 | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 220.47/37.25 | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 220.47/37.25 | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 220.47/37.25 | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 220.47/37.25 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 220.47/37.25 | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 220.47/37.25 | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 220.47/37.25 | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | BETA: splitting (3489) gives:
% 220.47/37.25 | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | (3490) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 220.47/37.25 | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | ALPHA: (3490) implies:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | (3491) op(e3, e3) = all_52_1
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | (3492) op(all_52_1, all_52_1) = e3
% 220.47/37.25 | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | (3493) all_55_15 = e3
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (378), (3493) are inconsistent by sub-proof
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | #2503.
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | (3494) ~ (all_55_15 = e3)
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | (3495) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3495) gives:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | (3496) all_55_15 = e2
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (3496) are inconsistent by sub-proof
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | #2502.
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | (3497) all_55_15 = e1 | all_55_15 = e0
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3497) gives:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | (3498) all_55_15 = e1
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (3488), (3498) are inconsistent by
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2501.
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | (3499) all_55_15 = e0
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (3499) imply:
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | (3500) all_4_2 = e0
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.25 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3500) implies:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | (3501) all_4_2 = e0
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (3501) imply:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | (3502) ~ (all_53_7 = e0)
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | (3503) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3503) gives:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_52_1,
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (3227), (3491) gives:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | | (3504) all_52_1 = e2
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3492), (3504) imply:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | | (3505) op(e2, e2) = e3
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2280), (3505), (function-axioms) are
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1912.
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | | (3506) all_57_3 = e0 & op(e2, e2) = e0
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3506) implies:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | | (3507) op(e2, e2) = e0
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3227), (3491), (3492), (3507),
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | | #1653.
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | (3508) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (3473), (3502), (3508),
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | #2024.
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.26 | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | (3509) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 220.47/37.26 | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | ALPHA: (3509) implies:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | (3510) op(e2, e3) = all_52_9
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | (3511) op(all_52_9, all_52_9) = e3
% 220.47/37.26 | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (160), (164), (168), (190), (230), (244),
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | (351), (373), (378), (3227), (3472), (3488),
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | (3510), (3511), (function-axioms) are inconsistent
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | by sub-proof #1570.
% 220.47/37.26 | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.26 | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.26 | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | (3512) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 220.47/37.26 | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 220.47/37.26 | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 220.47/37.26 | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 220.47/37.26 | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 220.47/37.26 | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 220.47/37.26 | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 220.47/37.26 | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 220.47/37.26 | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 220.47/37.26 | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 220.47/37.26 | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 220.47/37.26 | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 220.47/37.26 | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 220.47/37.26 | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | BETA: splitting (3512) gives:
% 220.47/37.26 | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | (3513) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 220.47/37.26 | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | ALPHA: (3513) implies:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | (3514) op(e1, e1) = all_52_21
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | (3515) op(e1, e2) = all_52_19
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | (3516) op(all_52_21, all_52_21) = e1
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | (3517) op(all_52_19, all_52_19) = e2
% 220.47/37.26 | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (159), (161), (165), (169), (171), (190),
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | (207), (226), (244), (362), (370), (371), (372),
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | (373), (378), (2270), (2280), (3483), (3488),
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | (3514), (3515), (3516), (3517), (function-axioms)
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1838.
% 220.47/37.26 | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | (3518) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 220.47/37.26 | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | ALPHA: (3518) implies:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | (3519) op(e0, e3) = all_52_25
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | (3520) op(all_52_25, all_52_25) = e3
% 220.47/37.26 | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | (3521) all_55_15 = e3
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (378), (3521) are inconsistent by sub-proof
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | #2503.
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | (3522) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (160), (163), (171), (193), (226), (244),
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | (247), (351), (362), (373), (2280), (3219),
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | (3223), (3227), (3473), (3486), (3488), (3519),
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | (3520), (3522), (function-axioms) are inconsistent
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | by sub-proof #1566.
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.26 | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.26 | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | End of split
% 220.47/37.26 | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.26 | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | (3523) all_30_2 = e1
% 220.47/37.26 | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (3523) imply:
% 220.47/37.26 | | | | | | | | | | | | | | | | | (3524) all_4_2 = e1
% 220.47/37.26 | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | REDUCE: (351), (3524) imply:
% 220.47/37.26 | | | | | | | | | | | | | | | | | (3525) ~ (all_53_3 = e1)
% 220.47/37.26 | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | REDUCE: (370), (3524) imply:
% 220.47/37.26 | | | | | | | | | | | | | | | | | (3526) ~ (all_53_12 = e1)
% 220.47/37.26 | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | REDUCE: (373), (3524) imply:
% 220.47/37.26 | | | | | | | | | | | | | | | | | (3527) ~ (e2 = e1)
% 220.47/37.26 | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 220.47/37.26 | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.26 | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | (3528) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 220.47/37.26 | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 220.47/37.26 | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | BETA: splitting (3528) gives:
% 220.47/37.26 | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | (3529) all_57_6 = e1 & op(e1, e3) = e1
% 220.47/37.26 | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | ALPHA: (3529) implies:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | (3530) all_57_6 = e1
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | (3531) op(e1, e3) = e1
% 220.47/37.26 | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | (3532) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (228), (229),
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | (2280), (3227), (3532), (function-axioms) are
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1677.
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | (3533) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3533) gives:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | (3534) all_57_4 = e1 & op(e3, e1) = e1
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3534) implies:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | (3535) op(e3, e1) = e1
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_2, e1,
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (164), (3531) gives:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | (3536) all_53_2 = e1
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_8, e1,
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (170), (3535) gives:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | (3537) all_53_8 = e1
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (3536) imply:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | (3538) ~ (all_53_3 = e1)
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (3536) imply:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | (3539) ~ (all_53_6 = e1)
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | REDUCE: (124), (3537) imply:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | (3540) ~ (all_53_9 = e1)
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (3537) imply:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | (3541) ~ (all_53_11 = e1)
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | SIMP: (3541) implies:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | (3542) ~ (all_53_11 = e1)
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | (3543) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3543) gives:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | (3544) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3544) implies:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | (3545) op(e3, e1) = all_52_5
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | (3546) op(all_52_5, all_52_5) = e1
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (39), (163), (170),
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (374), (2271), (3474),
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | (3482), (3483), (3530), (3534), (3545), (3546),
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | #1684.
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | (3547) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3547) implies:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | (3548) op(e2, e2) = all_52_11
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | (3549) op(all_52_11, all_52_11) = e2
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2280), (3483), (3548), (3549),
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | #1843.
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | (3550) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3550) gives:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | (3551) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3551) implies:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | (3552) op(e1, e3) = all_52_17
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | (3553) op(all_52_17, all_52_17) = e3
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (195), (336), (374), (3531), (3552), (3553),
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | #1998.
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | (3554) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3554) implies:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | (3555) op(e0, e1) = all_52_29
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | (3556) op(e0, e3) = all_52_25
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | (3557) op(all_52_29, all_52_29) = e1
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | (3558) op(all_52_25, all_52_25) = e3
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_11,
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | all_52_29, e1, e0, simplifying with (158), (3555)
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | (3559) all_53_11 = all_52_29
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_3,
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | all_52_25, e3, e0, simplifying with (160), (3556)
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | (3560) all_53_3 = all_52_25
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (3559) imply:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | (3561) all_55_14 = all_52_29
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (3560) imply:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | (3562) all_55_12 = all_52_25
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (3560) imply:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | (3563) ~ (all_53_1 = all_52_25)
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3223), (3560) imply:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | (3564) ~ (all_52_25 = e2)
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3525), (3560) imply:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | (3565) ~ (all_52_25 = e1)
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (3559) imply:
% 220.47/37.26 | | | | | | | | | | | | | | | | | | | | | | | (3566) ~ (all_53_9 = all_52_29)
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3542), (3559) imply:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | (3567) ~ (all_52_29 = e1)
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3476), (3559) imply:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | (3568) ~ (all_52_29 = e0)
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | (3569) all_55_4 = e3
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (3569) imply:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | (3570) all_53_1 = e3
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3570) implies:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | (3571) all_53_1 = e3
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (3571) imply:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | (3572) ~ (all_53_9 = e3)
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3572) implies:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | (3573) ~ (all_53_9 = e3)
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | (3574) all_55_6 = e3
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (3573), (3574) are inconsistent by
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2498.
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | (3575) all_55_6 = e2 | all_55_6 = e1 | all_55_6 = e0
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3575) gives:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (3576) all_55_6 = e2
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (3576) imply:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (3577) all_53_9 = e2
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3577) implies:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (3578) all_53_9 = e2
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3566), (3578) imply:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (3579) ~ (all_52_29 = e2)
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3579) implies:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (3580) ~ (all_52_29 = e2)
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (191), (3227), (3557), (3561), (3567),
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (3568), (3580), (function-axioms) are inconsistent
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1565.
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (3581) all_55_6 = e1 | all_55_6 = e0
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (2273), (3475), (3581) are inconsistent by
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2161.
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | (3582) all_55_4 = e2 | all_55_4 = e1 | all_55_4 = e0
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3582) gives:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | (3583) all_55_4 = e2
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (3222), (3583) are inconsistent by
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2168.
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | (3584) all_55_4 = e1 | all_55_4 = e0
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3584) gives:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (3585) all_55_4 = e1
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (2269), (3585) are inconsistent by
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2166.
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (3586) all_55_4 = e0
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (3586) imply:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (3587) all_53_1 = e0
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3587) implies:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (3588) all_53_1 = e0
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3563), (3588) imply:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (3589) ~ (all_52_25 = e0)
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3589) implies:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (3590) ~ (all_52_25 = e0)
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (193), (3227), (3558), (3562), (3564), (3565),
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (3590), (function-axioms) are inconsistent by
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1562.
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | (3591) all_57_9 = e1 & op(e3, e0) = e1
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (3526), (3591), (function-axioms) are
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2131.
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.27 | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | (3592) all_57_7 = e1 & op(e1, e2) = e1
% 220.47/37.27 | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (2271), (3592), (function-axioms) are
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2265.
% 220.47/37.27 | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.27 | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.27 | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | (3593) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 220.47/37.27 | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 220.47/37.27 | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | BETA: splitting (3593) gives:
% 220.47/37.27 | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | (3594) all_57_8 = e1 & op(e1, e1) = e1
% 220.47/37.27 | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | ALPHA: (3594) implies:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | (3595) op(e1, e1) = e1
% 220.47/37.27 | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3483), (3595), (function-axioms) are
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2427.
% 220.47/37.27 | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | (3596) all_57_11 = e1 & op(e1, e0) = e1
% 220.47/37.27 | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | ALPHA: (3596) implies:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | (3597) all_57_11 = e1
% 220.47/37.27 | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | (3598) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (168), (2269), (3227), (3598),
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | #1598.
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | (3599) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (39), (160), (216), (217),
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | (374), (3482), (3525), (3597), (3599),
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | #1679.
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.27 | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.27 | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | End of split
% 220.47/37.27 | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | End of split
% 220.47/37.27 | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | End of split
% 220.47/37.27 | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | Case 2:
% 220.47/37.27 | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | (3600) all_57_11 = e0 & op(e1, e0) = e0
% 220.47/37.27 | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | REF_CLOSE: (161), (3477), (3600), (function-axioms) are
% 220.47/37.27 | | | | | | | | | | | | | | | inconsistent by sub-proof #2341.
% 220.47/37.27 | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | End of split
% 220.47/37.27 | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | End of split
% 220.47/37.27 | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | End of split
% 220.47/37.27 | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | End of split
% 220.47/37.27 | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | Case 2:
% 220.47/37.27 | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | (3601) all_18_2 = e0
% 220.47/37.27 | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | COMBINE_EQS: (327), (3601) imply:
% 220.47/37.27 | | | | | | | | | | | (3602) all_10_2 = e0
% 220.47/37.27 | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | SIMP: (3602) implies:
% 220.47/37.27 | | | | | | | | | | | (3603) all_10_2 = e0
% 220.47/37.27 | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | REDUCE: (338), (3603) imply:
% 220.47/37.27 | | | | | | | | | | | (3604) ~ (all_53_1 = e0)
% 220.47/37.27 | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | REDUCE: (340), (3603) imply:
% 220.47/37.27 | | | | | | | | | | | (3605) ~ (all_53_2 = e0)
% 220.47/37.27 | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | REDUCE: (344), (3603) imply:
% 220.47/37.27 | | | | | | | | | | | (3606) ~ (all_53_4 = e0)
% 220.47/37.27 | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | REDUCE: (346), (3603) imply:
% 220.47/37.27 | | | | | | | | | | | (3607) ~ (all_53_8 = e0)
% 220.47/37.27 | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | REDUCE: (348), (3603) imply:
% 220.47/37.27 | | | | | | | | | | | (3608) ~ (all_53_12 = e0)
% 220.47/37.27 | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | REDUCE: (376), (3603) imply:
% 220.47/37.27 | | | | | | | | | | | (3609) ~ (e1 = e0)
% 220.47/37.27 | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | BETA: splitting (231) gives:
% 220.47/37.27 | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | Case 1:
% 220.47/37.27 | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | (3610) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 220.47/37.27 | | | | | | | | | | | | & op(e3, e2) = e0)
% 220.47/37.27 | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | BETA: splitting (3610) gives:
% 220.47/37.27 | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | Case 1:
% 220.47/37.27 | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | (3611) all_57_0 = e0 & op(e3, e3) = e0
% 220.47/37.27 | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | ALPHA: (3611) implies:
% 220.47/37.27 | | | | | | | | | | | | | (3612) all_57_0 = e0
% 220.47/37.27 | | | | | | | | | | | | | (3613) op(e3, e3) = e0
% 220.47/37.27 | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | BETA: splitting (67) gives:
% 220.47/37.27 | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | Case 1:
% 220.47/37.27 | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | (3614) ~ (all_24_2 = e0)
% 220.47/37.27 | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | REDUCE: (315), (3614) imply:
% 220.47/37.27 | | | | | | | | | | | | | | (3615) ~ (all_6_2 = e0)
% 220.47/37.27 | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 220.47/37.27 | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | Case 1:
% 220.47/37.27 | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | (3616) ~ (all_26_2 = e1)
% 220.47/37.27 | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | REDUCE: (2268), (3616) imply:
% 220.47/37.27 | | | | | | | | | | | | | | | (3617) $false
% 220.47/37.27 | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | CLOSE: (3617) is inconsistent.
% 220.47/37.27 | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | Case 2:
% 220.47/37.27 | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | (3618) ( ~ (all_26_0 = e3) & op(all_26_1, e2) = all_26_0
% 220.47/37.27 | | | | | | | | | | | | | | | & op(e2, e1) = all_26_1 & $i(all_26_0) &
% 220.47/37.27 | | | | | | | | | | | | | | | $i(all_26_1)) | ( ~ (all_26_1 = e0) & op(e2, e1)
% 220.47/37.27 | | | | | | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 220.47/37.27 | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 220.47/37.27 | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | Case 1:
% 220.47/37.27 | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | (3619) ~ (all_30_2 = e1)
% 220.47/37.27 | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | REDUCE: (330), (3619) imply:
% 220.47/37.27 | | | | | | | | | | | | | | | | (3620) ~ (all_4_2 = e1)
% 220.47/37.27 | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 220.47/37.27 | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.27 | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | (3621) all_55_15 = e3
% 220.47/37.27 | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (3621) imply:
% 220.47/37.27 | | | | | | | | | | | | | | | | | (3622) all_4_2 = e3
% 220.47/37.27 | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | REDUCE: (378), (3622) imply:
% 220.47/37.27 | | | | | | | | | | | | | | | | | (3623) $false
% 220.47/37.27 | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | CLOSE: (3623) is inconsistent.
% 220.47/37.27 | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.27 | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | (3624) ~ (all_55_15 = e3)
% 220.47/37.27 | | | | | | | | | | | | | | | | | (3625) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 220.47/37.27 | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | BETA: splitting (3625) gives:
% 220.47/37.27 | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.27 | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | (3626) all_55_15 = e2
% 220.47/37.27 | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (3626) imply:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | (3627) all_4_2 = e2
% 220.47/37.27 | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | REDUCE: (373), (3627) imply:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | (3628) $false
% 220.47/37.27 | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | CLOSE: (3628) is inconsistent.
% 220.47/37.27 | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.27 | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | (3629) ~ (all_55_15 = e2)
% 220.47/37.27 | | | | | | | | | | | | | | | | | | (3630) all_55_15 = e1 | all_55_15 = e0
% 220.47/37.27 | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | BETA: splitting (3630) gives:
% 220.47/37.27 | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | (3631) all_55_15 = e1
% 220.47/37.27 | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (3631) imply:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | (3632) all_4_2 = e1
% 220.47/37.27 | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | REDUCE: (3620), (3632) imply:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | (3633) $false
% 220.47/37.27 | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | CLOSE: (3633) is inconsistent.
% 220.47/37.27 | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | (3634) all_55_15 = e0
% 220.47/37.27 | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (3634) imply:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | (3635) all_4_2 = e0
% 220.47/37.27 | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | REDUCE: (362), (3635) imply:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | (3636) ~ (all_53_7 = e0)
% 220.47/37.27 | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | REDUCE: (371), (3635) imply:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | (3637) ~ (all_53_13 = e0)
% 220.47/37.27 | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | REDUCE: (372), (3635) imply:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | (3638) ~ (all_53_14 = e0)
% 220.47/37.27 | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | REDUCE: (378), (3635) imply:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | (3639) ~ (e3 = e0)
% 220.47/37.27 | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | REDUCE: (373), (3635) imply:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | (3640) ~ (e2 = e0)
% 220.47/37.27 | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | (3641) all_57_15 = e0 & op(e0, e0) = e0
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | ALPHA: (3641) implies:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | (3642) all_57_15 = e0
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | (3643) op(e0, e0) = e0
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | (3644) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (171), (2280), (3606), (3644),
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | #1561.
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | (3645) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3645) gives:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | (3646) all_57_7 = e0 & op(e1, e2) = e0
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3646) implies:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | (3647) all_57_7 = e0
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | (3648) op(e1, e2) = e0
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | (3649) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3649) gives:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | (3650) all_57_2 = e0 & op(e2, e3) = e0
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3650) implies:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | (3651) all_57_2 = e0
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | (3652) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3652) gives:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (3653) all_57_4 = e0 & op(e3, e1) = e0
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3653) implies:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (3654) op(e3, e1) = e0
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (3607), (3654), (function-axioms) are
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (3655) all_57_5 = e0 & op(e2, e1) = e0
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3655) implies:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (3656) all_57_5 = e0
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (224), (225), (2280),
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (3651), (3656), (function-axioms) are inconsistent
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1848.
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | (3657) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3657) gives:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (3658) all_57_8 = e0 & op(e1, e1) = e0
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (3615), (3658), (function-axioms) are
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2412.
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (3659) all_57_14 = e0 & op(e0, e1) = e0
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3659) implies:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (3660) all_57_14 = e0
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3661) (all_57_12 = e1 & op(e0, e3) = e1) | (all_57_13 =
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3661) gives:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3662) all_57_12 = e1 & op(e0, e3) = e1
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3662) implies:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3663) all_57_12 = e1
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (208), (209), (210),
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (228), (229), (234), (236), (2280), (3613),
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3642), (3647), (3651), (3660), (3663),
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1554.
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3664) all_57_13 = e1 & op(e0, e2) = e1
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3664) implies:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3665) all_57_13 = e1
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (209), (210), (3642),
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3643), (3660), (3665), (function-axioms) are
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2123.
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3666) (all_57_14 = e1 & op(e0, e1) = e1) | (all_57_15 =
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3666) gives:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3667) all_57_14 = e1 & op(e0, e1) = e1
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3667) implies:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3668) all_57_14 = e1
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3660), (3668) imply:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3669) e1 = e0
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2279), (3651), (3669) are inconsistent by
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1824.
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3670) all_57_15 = e1 & op(e0, e0) = e1
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3670) implies:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3671) op(e0, e0) = e1
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3643), (3671), (function-axioms) are
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2290.
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.27 | | | | | | | | | | | | | | | | | | | | | | | | (3672) all_57_3 = e0 & op(e2, e2) = e0
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3672) implies:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | (3673) op(e2, e2) = e0
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2280), (3673), (function-axioms) are
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | (3674) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (107), (129), (159), (163), (165),
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | (166), (192), (246), (2265), (2272), (2273),
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | (2280), (3613), (3618), (3637), (3643), (3648),
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | (3674), (function-axioms) are inconsistent by
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1552.
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | (3675) all_57_13 = e0 & op(e0, e2) = e0
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3675) implies:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | (3676) op(e0, e2) = e0
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (3636), (3676), (function-axioms) are
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2332.
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | (3677) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (165), (169), (3608), (3637), (3638),
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | (3677), (function-axioms) are inconsistent by
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | sub-proof #2112.
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.28 | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.28 | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | End of split
% 220.47/37.28 | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | End of split
% 220.47/37.28 | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | Case 2:
% 220.47/37.28 | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | (3678) all_30_2 = e1
% 220.47/37.28 | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (3678) imply:
% 220.47/37.28 | | | | | | | | | | | | | | | | (3679) all_4_2 = e1
% 220.47/37.28 | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | SIMP: (3679) implies:
% 220.47/37.28 | | | | | | | | | | | | | | | | (3680) all_4_2 = e1
% 220.47/37.28 | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | REDUCE: (351), (3680) imply:
% 220.47/37.28 | | | | | | | | | | | | | | | | (3681) ~ (all_53_3 = e1)
% 220.47/37.28 | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | REDUCE: (370), (3680) imply:
% 220.47/37.28 | | | | | | | | | | | | | | | | (3682) ~ (all_53_12 = e1)
% 220.47/37.28 | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | REDUCE: (373), (3680) imply:
% 220.47/37.28 | | | | | | | | | | | | | | | | (3683) ~ (e2 = e1)
% 220.47/37.28 | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | REDUCE: (36), (3680) imply:
% 220.47/37.28 | | | | | | | | | | | | | | | | (3684) op(e0, e0) = e1
% 220.47/37.28 | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 220.47/37.28 | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.28 | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | (3685) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 220.47/37.28 | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 220.47/37.28 | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (228), (229),
% 220.47/37.28 | | | | | | | | | | | | | | | | | (2280), (3612), (3685), (function-axioms) are
% 220.47/37.28 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1551.
% 220.47/37.28 | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.28 | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | (3686) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 220.47/37.28 | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 220.47/37.28 | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | BETA: splitting (3686) gives:
% 220.47/37.28 | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.28 | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | (3687) all_57_4 = e1 & op(e3, e1) = e1
% 220.47/37.28 | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | ALPHA: (3687) implies:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | (3688) all_57_4 = e1
% 220.47/37.28 | | | | | | | | | | | | | | | | | | (3689) op(e3, e1) = e1
% 220.47/37.28 | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 220.47/37.28 | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | (3690) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 220.47/37.28 | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | BETA: splitting (3690) gives:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | (3691) all_57_0 = e1 & op(e3, e3) = e1
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3612), (3691) are inconsistent by sub-proof
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | #2454.
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | (3692) all_57_2 = e1 & op(e2, e3) = e1
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | ALPHA: (3692) implies:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | (3693) op(e2, e3) = e1
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_1, e1,
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (168), (3693) gives:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | (3694) all_53_1 = e1
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | REDUCE: (2269), (3694) imply:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | (3695) $false
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | CLOSE: (3695) is inconsistent.
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.28 | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | (3696) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 220.47/37.28 | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | BETA: splitting (3696) gives:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | (3697) all_57_6 = e1 & op(e1, e3) = e1
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | ALPHA: (3697) implies:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | (3698) all_57_6 = e1
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | (3699) op(e1, e3) = e1
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_2, e1,
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (164), (3699) gives:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | (3700) all_53_2 = e1
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_8, e1,
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (170), (3689) gives:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | (3701) all_53_8 = e1
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (3700) imply:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | (3702) ~ (all_53_6 = e1)
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (3701) imply:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | (3703) ~ (all_53_12 = e1)
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (3701) imply:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | (3704) ~ (all_6_2 = e1)
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | SIMP: (3704) implies:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | (3705) ~ (all_6_2 = e1)
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | (3706) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3706) gives:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | (3707) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3707) implies:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | (3708) op(e3, e1) = all_52_5
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | (3709) op(all_52_5, all_52_5) = e1
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | (3710) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_7 = e2
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3710) gives:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | (3711) all_57_6 = e2 & op(e1, e3) = e2
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3711) implies:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | (3712) all_57_6 = e2
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3698), (3712) are inconsistent by sub-proof
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | #2233.
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | (3713) all_57_7 = e2 & op(e1, e2) = e2
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3713) implies:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | (3714) all_57_7 = e2
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (39), (164), (214), (217),
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | (374), (3605), (3615), (3698), (3714),
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | #1550.
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | (3715) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_11 =
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3715) gives:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | (3716) all_57_8 = e2 & op(e1, e1) = e2
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3716) implies:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | (3717) op(e1, e1) = e2
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_52_5,
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (3689), (3708) gives:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | (3718) all_52_5 = e1
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3709), (3718) imply:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | (3719) op(e1, e1) = e1
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3717), (3719), (function-axioms) are
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2423.
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | (3720) all_57_11 = e2 & op(e1, e0) = e2
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3720) implies:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | (3721) all_57_11 = e2
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | (3722) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3722) gives:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (3723) all_57_6 = e0 & op(e1, e3) = e0
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3723) implies:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (3724) op(e1, e3) = e0
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3605), (3724), (function-axioms) are
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2154.
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (3725) all_57_7 = e0 & op(e1, e2) = e0
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3725) implies:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (3726) all_57_7 = e0
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (39), (217), (374), (3698), (3721),
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (3726), (function-axioms) are inconsistent by
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2343.
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | (3727) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3727) gives:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (3728) all_57_8 = e0 & op(e1, e1) = e0
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (3615), (3728), (function-axioms) are
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2412.
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (3729) all_57_11 = e0 & op(e1, e0) = e0
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3729) implies:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (3730) all_57_11 = e0
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3721), (3730) are inconsistent by sub-proof
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | #1949.
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | (3731) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3731) implies:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | (3732) op(e2, e0) = all_52_15
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | (3733) op(e2, e2) = all_52_11
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | (3734) op(all_52_15, all_52_15) = e0
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | (3735) all_55_10 = e3
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (374), (3735) are inconsistent by sub-proof
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | #2500.
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | (3736) ~ (all_55_10 = e3)
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | (3737) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3737) gives:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | (3738) all_55_10 = e2
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (3738) imply:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | (3739) all_6_2 = e2
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3739) implies:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | (3740) all_6_2 = e2
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (3740) imply:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | (3741) ~ (all_53_6 = e2)
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_13,
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | all_52_15, e0, e2, simplifying with (165), (3732)
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | (3742) all_53_13 = all_52_15
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | all_52_11, e2, e2, simplifying with (2280), (3733)
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | (3743) all_52_11 = e1
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (3742) imply:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | (3744) all_55_7 = all_52_15
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (3742) imply:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | (3745) ~ (all_53_12 = all_52_15)
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (3742) imply:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | (3746) ~ (all_53_14 = all_52_15)
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3746) implies:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | (3747) ~ (all_53_14 = all_52_15)
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2274), (3742) imply:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | (3748) ~ (all_52_15 = e1)
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | (3749) all_55_1 = e3
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (3749) imply:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | (3750) all_53_4 = e3
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3750) implies:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | (3751) all_53_4 = e3
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (3751) imply:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | (3752) ~ (all_53_6 = e3)
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3752) implies:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | (3753) ~ (all_53_6 = e3)
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (3751) imply:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | (3754) ~ (all_53_12 = e3)
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3754) implies:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | (3755) ~ (all_53_12 = e3)
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (3751) imply:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | (3756) op(e3, e2) = e3
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (3757) all_55_3 = e3
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (3757) imply:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (3758) all_53_12 = e3
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3755), (3758) imply:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (3759) $false
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3759) is inconsistent.
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (3760) ~ (all_55_3 = e3)
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (3761) all_55_3 = e2 | all_55_3 = e1 | all_55_3 = e0
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3761) gives:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3762) all_55_3 = e2
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (3762) imply:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3763) all_53_12 = e2
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3763) implies:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3764) all_53_12 = e2
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3745), (3764) imply:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3765) ~ (all_52_15 = e2)
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3765) implies:
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3766) ~ (all_52_15 = e2)
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3755), (3764) imply:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3767) ~ (e3 = e2)
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3768) all_55_9 = e3
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (3753), (3768) are inconsistent by
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2159.
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3769) all_55_9 = e2 | all_55_9 = e1 | all_55_9 = e0
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3770) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3770) gives:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3771) all_57_1 = e2 & op(e3, e2) = e2
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3771) implies:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3772) op(e3, e2) = e2
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3756), (3772), (function-axioms) are
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1549.
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3773) all_57_3 = e2 & op(e2, e2) = e2
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3773) implies:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3774) op(e2, e2) = e2
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2280), (3774), (function-axioms) are
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3775) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3775) gives:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3776) all_57_7 = e2 & op(e1, e2) = e2
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3776) implies:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3777) all_57_7 = e2
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (39), (164), (214), (217),
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (3605), (3615), (3698), (3777),
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1550.
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3778) all_57_13 = e2 & op(e0, e2) = e2
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3778) implies:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3779) all_57_13 = e2
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3780) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_1 = e3
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3780) gives:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3781) all_57_0 = e3 & op(e3, e3) = e3
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3781) implies:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3782) op(e3, e3) = e3
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3613), (3782), (function-axioms) are
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2494.
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3783) all_57_1 = e3 & op(e3, e2) = e3
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3783) implies:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3784) all_57_1 = e3
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3785) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3785) gives:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3786) all_57_6 = e3 & op(e1, e3) = e3
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3786) implies:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3787) all_57_6 = e3
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (228), (229),
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2280), (3698), (3784), (3787), (function-axioms)
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1548.
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3788) all_57_7 = e3 & op(e1, e2) = e3
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3788) implies:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3789) all_57_7 = e3
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3790) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3790) gives:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3791) all_57_1 = e0 & op(e3, e2) = e0
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3791) implies:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3792) all_57_1 = e0
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (226), (227),
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (233), (235), (237), (2279), (2280),
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3612), (3613), (3755), (3779), (3789), (3792),
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1707.
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3793) all_57_3 = e0 & op(e2, e2) = e0
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3793) implies:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3794) all_57_3 = e0
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (227), (3779), (3784), (3789),
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3794) are inconsistent by sub-proof #1779.
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3795) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3795) gives:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3796) all_57_7 = e0 & op(e1, e2) = e0
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3796) implies:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3797) all_57_7 = e0
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (226), (227),
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (233), (235), (237), (2279), (2280),
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3612), (3613), (3755), (3779), (3784), (3789),
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3797), (function-axioms) are inconsistent by
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1547.
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3798) all_57_13 = e0 & op(e0, e2) = e0
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3798) implies:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3799) op(e0, e2) = e0
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (129), (159), (256), (2271), (3741), (3769),
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3799), (function-axioms) are inconsistent by
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2077.
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3800) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3800) gives:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3801) all_57_8 = e3 & op(e1, e1) = e3
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3801) implies:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3802) op(e1, e1) = e3
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (3802), (function-axioms) are
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3803) all_57_11 = e3 & op(e1, e0) = e3
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (194), (198), (248), (3684), (3734),
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3744), (3747), (3748), (3766), (3803),
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2062.
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3804) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_9 = e3
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (169), (3688), (3755), (3804),
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2281.
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3805) all_55_3 = e1 | all_55_3 = e0
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (3608), (3682), (3805) are inconsistent by
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2132.
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | (3806) all_55_1 = e2 | all_55_1 = e1 | all_55_1 = e0
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3806) gives:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (3807) all_55_1 = e2
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (3807) imply:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (3808) all_53_4 = e2
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3808) implies:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (3809) all_53_4 = e2
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (3809) imply:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (3810) ~ (all_53_12 = e2)
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3810) implies:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (3811) ~ (all_53_12 = e2)
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3812) all_55_3 = e3
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (3812) imply:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3813) all_53_12 = e3
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3813) implies:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3814) all_53_12 = e3
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3745), (3814) imply:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3815) ~ (all_52_15 = e3)
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (198), (2280), (3684), (3734), (3744),
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3748), (3815), (function-axioms) are inconsistent
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1687.
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3816) all_55_3 = e2 | all_55_3 = e1 | all_55_3 = e0
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (3608), (3682), (3811), (3816) are
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1546.
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (3817) all_55_1 = e1 | all_55_1 = e0
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (2270), (3606), (3817) are inconsistent by
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1730.
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | (3818) all_55_10 = e1 | all_55_10 = e0
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (3615), (3705), (3818) are inconsistent by
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1685.
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | | End of split
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | |
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.47/37.29 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | (3819) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3819) gives:
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | | (3820) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3820) implies:
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | | (3821) op(e1, e3) = all_52_17
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | | (3822) op(all_52_17, all_52_17) = e3
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (195), (336), (374), (3699), (3821), (3822),
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | | #1998.
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | | (3823) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3823) implies:
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | | (3824) op(e0, e0) = all_52_31
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | | (3825) op(all_52_31, all_52_31) = e0
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (3615), (3684), (3824), (3825),
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | | #2086.
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | (3826) all_57_12 = e1 & op(e0, e3) = e1
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (3681), (3826), (function-axioms) are
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1947.
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.29 | | | | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.29 | | | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.29 | | | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | | | (3827) all_57_9 = e1 & op(e3, e0) = e1
% 220.76/37.29 | | | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (3682), (3827), (function-axioms) are
% 220.76/37.29 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2131.
% 220.76/37.29 | | | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | | End of split
% 220.76/37.29 | | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | End of split
% 220.76/37.29 | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | End of split
% 220.76/37.29 | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | End of split
% 220.76/37.29 | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | Case 2:
% 220.76/37.29 | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | (3828) all_24_2 = e0
% 220.76/37.29 | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | COMBINE_EQS: (315), (3828) imply:
% 220.76/37.29 | | | | | | | | | | | | | | (3829) all_6_2 = e0
% 220.76/37.29 | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | SIMP: (3829) implies:
% 220.76/37.29 | | | | | | | | | | | | | | (3830) all_6_2 = e0
% 220.76/37.29 | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | REDUCE: (361), (3830) imply:
% 220.76/37.29 | | | | | | | | | | | | | | (3831) ~ (all_53_6 = e0)
% 220.76/37.29 | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | REDUCE: (364), (3830) imply:
% 220.76/37.29 | | | | | | | | | | | | | | (3832) ~ (all_53_9 = e0)
% 220.76/37.29 | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | REDUCE: (368), (3830) imply:
% 220.76/37.29 | | | | | | | | | | | | | | (3833) ~ (all_53_14 = e0)
% 220.76/37.29 | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | REDUCE: (374), (3830) imply:
% 220.76/37.29 | | | | | | | | | | | | | | (3834) ~ (e3 = e0)
% 220.76/37.29 | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 220.76/37.29 | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | Case 1:
% 220.76/37.29 | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | (3835) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 220.76/37.29 | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 220.76/37.29 | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | REF_CLOSE: (4), (171), (2280), (3606), (3835),
% 220.76/37.29 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.76/37.29 | | | | | | | | | | | | | | | #1561.
% 220.76/37.29 | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | Case 2:
% 220.76/37.29 | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | (3836) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 220.76/37.29 | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 220.76/37.29 | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | BETA: splitting (3836) gives:
% 220.76/37.29 | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | Case 1:
% 220.76/37.29 | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | (3837) all_57_7 = e0 & op(e1, e2) = e0
% 220.76/37.29 | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | REF_CLOSE: (163), (3831), (3837), (function-axioms) are
% 220.76/37.29 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2039.
% 220.76/37.29 | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | Case 2:
% 220.76/37.29 | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | (3838) all_57_13 = e0 & op(e0, e2) = e0
% 220.76/37.29 | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | ALPHA: (3838) implies:
% 220.76/37.29 | | | | | | | | | | | | | | | | (3839) op(e0, e2) = e0
% 220.76/37.29 | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 220.76/37.29 | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.29 | | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | | (3840) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 220.76/37.29 | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 220.76/37.29 | | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (164), (3605), (3831), (3840),
% 220.76/37.29 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.76/37.29 | | | | | | | | | | | | | | | | | #2038.
% 220.76/37.29 | | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.29 | | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | | (3841) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 220.76/37.29 | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 220.76/37.29 | | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | | BETA: splitting (3841) gives:
% 220.76/37.29 | | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.29 | | | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | | | (3842) all_57_8 = e0 & op(e1, e1) = e0
% 220.76/37.29 | | | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | | | ALPHA: (3842) implies:
% 220.76/37.29 | | | | | | | | | | | | | | | | | | (3843) all_57_8 = e0
% 220.76/37.29 | | | | | | | | | | | | | | | | | | (3844) op(e1, e1) = e0
% 220.76/37.29 | | | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 220.76/37.29 | | | | | | | | | | | | | | | | | |
% 220.76/37.29 | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.29 | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | (3845) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 220.76/37.30 | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | BETA: splitting (3845) gives:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | (3846) all_57_2 = e0 & op(e2, e3) = e0
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | ALPHA: (3846) implies:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | (3847) op(e2, e3) = e0
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_1, e0,
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (168), (3847) gives:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | (3848) all_53_1 = e0
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | REDUCE: (3604), (3848) imply:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | (3849) $false
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | CLOSE: (3849) is inconsistent.
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | (3850) all_57_3 = e0 & op(e2, e2) = e0
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | ALPHA: (3850) implies:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | (3851) op(e2, e2) = e0
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2280), (3851), (function-axioms) are
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.30 | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | (3852) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 220.76/37.30 | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | BETA: splitting (3852) gives:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | (3853) all_57_5 = e0 & op(e2, e1) = e0
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (3832), (3853), (function-axioms) are
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2023.
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | (3854) all_57_10 = e0 & op(e2, e0) = e0
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | ALPHA: (3854) implies:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | (3855) op(e2, e0) = e0
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_7, e0,
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (159), (3839) gives:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | (3856) all_53_7 = e0
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_13,
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | e0, e0, e2, simplifying with (165), (3855) gives:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | (3857) all_53_13 = e0
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (3857) imply:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | (3858) ~ (all_4_2 = e0)
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | SIMP: (3858) implies:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | (3859) ~ (all_4_2 = e0)
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | (3860) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3860) gives:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | (3861) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3861) implies:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | (3862) op(e3, e1) = all_52_5
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | (3863) op(all_52_5, all_52_5) = e1
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | (3864) all_55_15 = e3
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (378), (3864) are inconsistent by sub-proof
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | #2503.
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | (3865) ~ (all_55_15 = e3)
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | (3866) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3866) gives:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | (3867) all_55_15 = e2
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (3867) are inconsistent by sub-proof
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | #2502.
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | (3868) ~ (all_55_15 = e2)
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | (3869) all_55_15 = e1 | all_55_15 = e0
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3869) gives:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | (3870) all_55_15 = e1
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (3870) imply:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | (3871) all_4_2 = e1
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3871) implies:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | (3872) all_4_2 = e1
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (3872) imply:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | (3873) ~ (all_53_3 = e1)
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (3872) imply:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | (3874) ~ (all_53_12 = e1)
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (3872) imply:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | (3875) ~ (e2 = e1)
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (3876) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3876) gives:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3877) all_57_0 = e1 & op(e3, e3) = e1
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3612), (3877) are inconsistent by sub-proof
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2454.
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3878) all_57_2 = e1 & op(e2, e3) = e1
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (2269), (3878), (function-axioms) are
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2156.
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (3879) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3879) gives:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3880) all_57_6 = e1 & op(e1, e3) = e1
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3880) implies:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3881) all_57_6 = e1
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3882) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (228), (229),
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2280), (3612), (3882), (function-axioms) are
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1551.
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3883) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3883) gives:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3884) all_57_4 = e1 & op(e3, e1) = e1
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (39), (163), (170),
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (374), (2271), (3607),
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3843), (3844), (3862), (3863), (3881), (3884),
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1684.
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3885) all_57_9 = e1 & op(e3, e0) = e1
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (3874), (3885), (function-axioms) are
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2131.
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3886) all_57_12 = e1 & op(e0, e3) = e1
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (3873), (3886), (function-axioms) are
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1947.
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | (3887) all_55_15 = e0
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (3859), (3887) are inconsistent by
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1884.
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | (3888) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3888) implies:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | (3889) op(e2, e0) = all_52_15
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | (3890) op(all_52_15, all_52_15) = e0
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | (3891) all_55_15 = e3
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (378), (3891) are inconsistent by sub-proof
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | #2503.
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | (3892) ~ (all_55_15 = e3)
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | (3893) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3893) gives:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | (3894) all_55_15 = e2
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (3894) are inconsistent by sub-proof
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | #2502.
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | (3895) ~ (all_55_15 = e2)
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | (3896) all_55_15 = e1 | all_55_15 = e0
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3896) gives:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | (3897) all_55_15 = e1
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (3897) imply:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | (3898) all_4_2 = e1
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3898) implies:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | (3899) all_4_2 = e1
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (3899) imply:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | (3900) ~ (all_53_12 = e1)
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (3899) imply:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | (3901) ~ (e2 = e1)
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (3899) imply:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | (3902) op(e0, e0) = e1
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (3903) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (228), (229),
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (2280), (3612), (3903), (function-axioms) are
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1551.
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (3904) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3904) gives:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3905) all_57_4 = e1 & op(e3, e1) = e1
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3905) implies:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3906) op(e3, e1) = e1
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_15, e0, e2, simplifying with (3855), (3889)
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3907) all_52_15 = e0
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_8, e1,
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (170), (3906) gives:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3908) all_53_8 = e1
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3890), (3907) imply:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3909) op(e0, e0) = e0
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3902), (3909), (function-axioms) are
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2290.
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3910) all_57_9 = e1 & op(e3, e0) = e1
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (3900), (3910), (function-axioms) are
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2131.
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | (3911) all_55_15 = e0
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (3859), (3911) are inconsistent by
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1884.
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | (3912) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3912) gives:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | (3913) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3913) implies:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | (3914) op(e1, e3) = all_52_17
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | (3915) op(all_52_17, all_52_17) = e3
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | (3916) all_55_15 = e3
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (378), (3916) are inconsistent by sub-proof
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | #2503.
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | (3917) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3917) gives:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | (3918) all_55_15 = e2
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (3918) are inconsistent by sub-proof
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | #2502.
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | (3919) all_55_15 = e1 | all_55_15 = e0
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3919) gives:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | (3920) all_55_15 = e1
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (3920) imply:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | (3921) all_4_2 = e1
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3921) implies:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | (3922) all_4_2 = e1
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (3922) imply:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | (3923) ~ (all_53_3 = e1)
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (39), (160), (168), (195), (232), (336),
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | (374), (2269), (3612), (3914), (3915), (3923),
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | #1545.
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | (3924) all_55_15 = e0
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (3859), (3924) are inconsistent by
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1884.
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | (3925) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3925) implies:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | (3926) op(e0, e0) = all_52_31
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | (3927) op(e0, e2) = all_52_27
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | (3928) op(all_52_27, all_52_27) = e2
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | (3929) all_55_15 = e3
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (378), (3929) are inconsistent by sub-proof
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | | #2503.
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.30 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | (3930) ~ (all_55_15 = e3)
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | (3931) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3931) gives:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | (3932) all_55_15 = e2
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (3932) are inconsistent by sub-proof
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | #2502.
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | (3933) ~ (all_55_15 = e2)
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | (3934) all_55_15 = e1 | all_55_15 = e0
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3934) gives:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | (3935) all_55_15 = e1
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (3935) imply:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | (3936) all_4_2 = e1
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3936) implies:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | (3937) all_4_2 = e1
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (3937) imply:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | (3938) ~ (all_53_3 = e1)
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (3937) imply:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | (3939) ~ (all_53_12 = e1)
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (3937) imply:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | (3940) ~ (e2 = e1)
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (3941) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 =
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3941) gives:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3942) all_57_9 = e1 & op(e3, e0) = e1
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (3939), (3942), (function-axioms) are
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2131.
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3943) all_57_10 = e1 & op(e2, e0) = e1
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2274), (3943), (function-axioms) are
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2084.
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (3944) (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 =
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3944) gives:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3945) all_57_11 = e1 & op(e1, e0) = e1
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3945) implies:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3946) all_57_11 = e1
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (39), (160), (168),
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (232), (374), (2269), (3612),
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3843), (3938), (3946), (function-axioms) are
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1678.
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3947) all_57_15 = e1 & op(e0, e0) = e1
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3839), (3926), (3927), (3928), (3947),
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1877.
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | (3948) all_55_15 = e0
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (3859), (3948) are inconsistent by
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1884.
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.31 | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.31 | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.31 | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | (3949) all_57_11 = e0 & op(e1, e0) = e0
% 220.76/37.31 | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (3833), (3949), (function-axioms) are
% 220.76/37.31 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2341.
% 220.76/37.31 | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | End of split
% 220.76/37.31 | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | End of split
% 220.76/37.31 | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | End of split
% 220.76/37.31 | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | End of split
% 220.76/37.31 | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | End of split
% 220.76/37.31 | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | Case 2:
% 220.76/37.31 | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | (3950) all_57_1 = e0 & op(e3, e2) = e0
% 220.76/37.31 | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | ALPHA: (3950) implies:
% 220.76/37.31 | | | | | | | | | | | | | (3951) op(e3, e2) = e0
% 220.76/37.31 | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | REF_CLOSE: (171), (3606), (3951), (function-axioms) are
% 220.76/37.31 | | | | | | | | | | | | | inconsistent by sub-proof #1941.
% 220.76/37.31 | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | End of split
% 220.76/37.31 | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | Case 2:
% 220.76/37.31 | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | (3952) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 220.76/37.31 | | | | | | | | | | | | & op(e3, e0) = e0)
% 220.76/37.31 | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | REF_CLOSE: (169), (170), (3607), (3608), (3952),
% 220.76/37.31 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.76/37.31 | | | | | | | | | | | | #1544.
% 220.76/37.31 | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | End of split
% 220.76/37.31 | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | End of split
% 220.76/37.31 | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | End of split
% 220.76/37.31 | | | | | | | | |
% 220.76/37.31 | | | | | | | | Case 2:
% 220.76/37.31 | | | | | | | | |
% 220.76/37.31 | | | | | | | | | (3953) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 = e1
% 220.76/37.31 | | | | | | | | | & op(e2, e0) = e1)
% 220.76/37.31 | | | | | | | | |
% 220.76/37.31 | | | | | | | | | BETA: splitting (3953) gives:
% 220.76/37.31 | | | | | | | | |
% 220.76/37.31 | | | | | | | | | Case 1:
% 220.76/37.31 | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | (3954) all_57_5 = e1 & op(e2, e1) = e1
% 220.76/37.31 | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | REF_CLOSE: (166), (2273), (3954), (function-axioms) are
% 220.76/37.31 | | | | | | | | | | inconsistent by sub-proof #2305.
% 220.76/37.31 | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | Case 2:
% 220.76/37.31 | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | (3955) all_57_10 = e1 & op(e2, e0) = e1
% 220.76/37.31 | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | REF_CLOSE: (165), (2274), (3955), (function-axioms) are
% 220.76/37.31 | | | | | | | | | | inconsistent by sub-proof #2084.
% 220.76/37.31 | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | End of split
% 220.76/37.31 | | | | | | | | |
% 220.76/37.31 | | | | | | | | End of split
% 220.76/37.31 | | | | | | | |
% 220.76/37.31 | | | | | | | End of split
% 220.76/37.31 | | | | | | |
% 220.76/37.31 | | | | | | Case 2:
% 220.76/37.31 | | | | | | |
% 220.76/37.31 | | | | | | | (3956) all_14_2 = e0
% 220.76/37.31 | | | | | | | (3957) ( ~ (all_14_0 = e1) & op(all_14_1, e2) = all_14_0 &
% 220.76/37.31 | | | | | | | op(e2, e0) = all_14_1 & $i(all_14_0) & $i(all_14_1)) |
% 220.76/37.31 | | | | | | | ( ~ (all_14_1 = e3) & op(e2, e0) = all_14_1 &
% 220.76/37.31 | | | | | | | $i(all_14_1))
% 220.76/37.31 | | | | | | |
% 220.76/37.31 | | | | | | | COMBINE_EQS: (328), (3956) imply:
% 220.76/37.31 | | | | | | | (3958) all_8_2 = e0
% 220.76/37.31 | | | | | | |
% 220.76/37.31 | | | | | | | COMBINE_EQS: (290), (3958) imply:
% 220.76/37.31 | | | | | | | (3959) all_50_2 = e0
% 220.76/37.31 | | | | | | |
% 220.76/37.31 | | | | | | | REDUCE: (352), (3958) imply:
% 220.76/37.31 | | | | | | | (3960) ~ (all_53_4 = e0)
% 220.76/37.31 | | | | | | |
% 220.76/37.31 | | | | | | | REDUCE: (354), (3958) imply:
% 220.76/37.31 | | | | | | | (3961) ~ (all_53_6 = e0)
% 220.76/37.31 | | | | | | |
% 220.76/37.31 | | | | | | | REDUCE: (356), (3958) imply:
% 220.76/37.31 | | | | | | | (3962) ~ (all_53_7 = e0)
% 220.76/37.31 | | | | | | |
% 220.76/37.31 | | | | | | | REDUCE: (358), (3958) imply:
% 220.76/37.31 | | | | | | | (3963) ~ (all_53_9 = e0)
% 220.76/37.31 | | | | | | |
% 220.76/37.31 | | | | | | | REDUCE: (360), (3958) imply:
% 220.76/37.31 | | | | | | | (3964) ~ (all_53_13 = e0)
% 220.76/37.31 | | | | | | |
% 220.76/37.31 | | | | | | | REDUCE: (375), (3958) imply:
% 220.76/37.31 | | | | | | | (3965) ~ (e3 = e0)
% 220.76/37.31 | | | | | | |
% 220.76/37.31 | | | | | | | BETA: splitting (226) gives:
% 220.76/37.31 | | | | | | |
% 220.76/37.31 | | | | | | | Case 1:
% 220.76/37.31 | | | | | | | |
% 220.76/37.31 | | | | | | | | (3966) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0 &
% 220.76/37.31 | | | | | | | | op(e2, e2) = e0)
% 220.76/37.31 | | | | | | | |
% 220.76/37.31 | | | | | | | | BETA: splitting (3966) gives:
% 220.76/37.31 | | | | | | | |
% 220.76/37.31 | | | | | | | | Case 1:
% 220.76/37.31 | | | | | | | | |
% 220.76/37.31 | | | | | | | | | (3967) all_57_1 = e0 & op(e3, e2) = e0
% 220.76/37.31 | | | | | | | | |
% 220.76/37.31 | | | | | | | | | ALPHA: (3967) implies:
% 220.76/37.31 | | | | | | | | | (3968) op(e3, e2) = e0
% 220.76/37.31 | | | | | | | | |
% 220.76/37.31 | | | | | | | | | REF_CLOSE: (171), (3960), (3968), (function-axioms) are
% 220.76/37.31 | | | | | | | | | inconsistent by sub-proof #1941.
% 220.76/37.31 | | | | | | | | |
% 220.76/37.31 | | | | | | | | Case 2:
% 220.76/37.31 | | | | | | | | |
% 220.76/37.31 | | | | | | | | | (3969) all_57_3 = e0 & op(e2, e2) = e0
% 220.76/37.31 | | | | | | | | |
% 220.76/37.31 | | | | | | | | | ALPHA: (3969) implies:
% 220.76/37.31 | | | | | | | | | (3970) all_57_3 = e0
% 220.76/37.31 | | | | | | | | | (3971) op(e2, e2) = e0
% 220.76/37.31 | | | | | | | | |
% 220.76/37.31 | | | | | | | | | BETA: splitting (58) gives:
% 220.76/37.31 | | | | | | | | |
% 220.76/37.31 | | | | | | | | | Case 1:
% 220.76/37.31 | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | (3972) ~ (all_18_2 = e0)
% 220.76/37.31 | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | REDUCE: (327), (3972) imply:
% 220.76/37.31 | | | | | | | | | | (3973) ~ (all_10_2 = e0)
% 220.76/37.31 | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | BETA: splitting (61) gives:
% 220.76/37.31 | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | Case 1:
% 220.76/37.31 | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | (3974) ~ (all_20_2 = e2)
% 220.76/37.31 | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | REDUCE: (299), (3974) imply:
% 220.76/37.31 | | | | | | | | | | | (3975) ~ (all_10_2 = e2)
% 220.76/37.31 | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | BETA: splitting (205) gives:
% 220.76/37.31 | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | Case 1:
% 220.76/37.31 | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | (3976) all_55_0 = e3
% 220.76/37.31 | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | COMBINE_EQS: (277), (3976) imply:
% 220.76/37.31 | | | | | | | | | | | | (3977) all_10_2 = e3
% 220.76/37.31 | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | REDUCE: (340), (3977) imply:
% 220.76/37.31 | | | | | | | | | | | | (3978) ~ (all_53_2 = e3)
% 220.76/37.31 | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | REDUCE: (342), (3977) imply:
% 220.76/37.31 | | | | | | | | | | | | (3979) ~ (all_53_3 = e3)
% 220.76/37.31 | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | REDUCE: (344), (3977) imply:
% 220.76/37.31 | | | | | | | | | | | | (3980) ~ (all_53_4 = e3)
% 220.76/37.31 | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | REDUCE: (346), (3977) imply:
% 220.76/37.31 | | | | | | | | | | | | (3981) ~ (all_53_8 = e3)
% 220.76/37.31 | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | REDUCE: (348), (3977) imply:
% 220.76/37.31 | | | | | | | | | | | | (3982) ~ (all_53_12 = e3)
% 220.76/37.31 | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | REDUCE: (45), (3977) imply:
% 220.76/37.31 | | | | | | | | | | | | (3983) op(e3, e3) = e3
% 220.76/37.31 | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | BETA: splitting (237) gives:
% 220.76/37.31 | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | Case 1:
% 220.76/37.31 | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | (3984) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_1 = e3
% 220.76/37.31 | | | | | | | | | | | | | & op(e3, e2) = e3)
% 220.76/37.31 | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | BETA: splitting (3984) gives:
% 220.76/37.31 | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | Case 1:
% 220.76/37.31 | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | (3985) all_57_0 = e3 & op(e3, e3) = e3
% 220.76/37.31 | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | ALPHA: (3985) implies:
% 220.76/37.31 | | | | | | | | | | | | | | (3986) all_57_0 = e3
% 220.76/37.31 | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 220.76/37.31 | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | Case 1:
% 220.76/37.31 | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | (3987) ~ (all_24_2 = e0)
% 220.76/37.31 | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | REDUCE: (315), (3987) imply:
% 220.76/37.31 | | | | | | | | | | | | | | | (3988) ~ (all_6_2 = e0)
% 220.76/37.31 | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 220.76/37.31 | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | Case 1:
% 220.76/37.31 | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | (3989) ~ (all_30_2 = e1)
% 220.76/37.31 | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | REDUCE: (330), (3989) imply:
% 220.76/37.31 | | | | | | | | | | | | | | | | (3990) ~ (all_4_2 = e1)
% 220.76/37.31 | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 220.76/37.31 | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.31 | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | (3991) all_55_15 = e3
% 220.76/37.31 | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (3991) imply:
% 220.76/37.31 | | | | | | | | | | | | | | | | | (3992) all_4_2 = e3
% 220.76/37.31 | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | REDUCE: (378), (3992) imply:
% 220.76/37.31 | | | | | | | | | | | | | | | | | (3993) $false
% 220.76/37.31 | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | CLOSE: (3993) is inconsistent.
% 220.76/37.31 | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.31 | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | (3994) ~ (all_55_15 = e3)
% 220.76/37.31 | | | | | | | | | | | | | | | | | (3995) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 220.76/37.31 | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | BETA: splitting (3995) gives:
% 220.76/37.31 | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.31 | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | (3996) all_55_15 = e2
% 220.76/37.31 | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (3996) imply:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | (3997) all_4_2 = e2
% 220.76/37.31 | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | REDUCE: (373), (3997) imply:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | (3998) $false
% 220.76/37.31 | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | CLOSE: (3998) is inconsistent.
% 220.76/37.31 | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.31 | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | (3999) ~ (all_55_15 = e2)
% 220.76/37.31 | | | | | | | | | | | | | | | | | | (4000) all_55_15 = e1 | all_55_15 = e0
% 220.76/37.31 | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | BETA: splitting (4000) gives:
% 220.76/37.31 | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | (4001) all_55_15 = e1
% 220.76/37.31 | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (4001) imply:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | (4002) all_4_2 = e1
% 220.76/37.31 | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | REDUCE: (3990), (4002) imply:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | (4003) $false
% 220.76/37.31 | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | CLOSE: (4003) is inconsistent.
% 220.76/37.31 | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | (4004) all_55_15 = e0
% 220.76/37.31 | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (4004) imply:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | (4005) all_4_2 = e0
% 220.76/37.31 | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | REDUCE: (351), (4005) imply:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | (4006) ~ (all_53_3 = e0)
% 220.76/37.31 | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | REDUCE: (370), (4005) imply:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | (4007) ~ (all_53_12 = e0)
% 220.76/37.31 | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | REDUCE: (373), (4005) imply:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | (4008) ~ (e2 = e0)
% 220.76/37.31 | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | REDUCE: (3990), (4005) imply:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | (4009) ~ (e1 = e0)
% 220.76/37.31 | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | (4010) all_57_15 = e0 & op(e0, e0) = e0
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | ALPHA: (4010) implies:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | (4011) all_57_15 = e0
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | (4012) op(e0, e0) = e0
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | (4013) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | (3970), (3983), (4013), (function-axioms) are
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2229.
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | (4014) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4014) gives:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | (4015) all_57_6 = e0 & op(e1, e3) = e0
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4015) implies:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | (4016) all_57_6 = e0
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | (4017) op(e1, e3) = e0
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | (4018) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (171), (3960), (3983), (4018),
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | #1543.
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | (4019) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4019) gives:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | (4020) all_57_4 = e0 & op(e3, e1) = e0
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4020) implies:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | (4021) all_57_4 = e0
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | (4022) op(e3, e1) = e0
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (39), (45), (67), (88), (94),
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | (107), (111), (113), (119), (121), (122), (124),
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | (127), (129), (134), (135), (136), (137), (142),
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | (144), (158), (159), (161), (163), (164), (165),
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | (166), (169), (170), (171), (191), (192), (194),
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | (195), (196), (199), (202), (203), (204), (205),
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (225), (227), (228), (229),
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | (237), (245), (246), (248), (249), (256), (259),
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | (268), (269), (270), (277), (315), (332), (336),
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | (348), (361), (363), (364), (366), (368), (374),
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | (376), (3962), (3970), (3971), (3973), (3975),
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | (3980), (3981), (3982), (3983), (3986), (4011),
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | (4012), (4016), (4017), (4021), (4022),
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | #1410.
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | (4023) all_57_9 = e0 & op(e3, e0) = e0
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (4007), (4023), (function-axioms) are
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2434.
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | (4024) all_57_12 = e0 & op(e0, e3) = e0
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4024) implies:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | (4025) op(e0, e3) = e0
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (4006), (4025), (function-axioms) are
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2366.
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | (4026) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | ALPHA: (4026) implies:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | (4027) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | (4028) (all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 & op(e1,
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4027) gives:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | (4029) all_57_12 = e0 & op(e0, e3) = e0
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.31 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4029) implies:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | (4030) op(e0, e3) = e0
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (4006), (4030), (function-axioms) are
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2366.
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | (4031) (all_57_13 = e0 & op(e0, e2) = e0) | (all_57_14 =
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4031) gives:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | (4032) all_57_13 = e0 & op(e0, e2) = e0
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4032) implies:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | (4033) op(e0, e2) = e0
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (3962), (4033), (function-axioms) are
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2332.
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | (4034) all_57_14 = e0 & op(e0, e1) = e0
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4034) implies:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | (4035) all_57_14 = e0
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | (4036) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 =
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4036) gives:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | (4037) all_57_12 = e3 & op(e0, e3) = e3
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4037) implies:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | (4038) all_57_12 = e3
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | (4039) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4039) gives:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (4040) all_57_4 = e3 & op(e3, e1) = e3
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4040) implies:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (4041) all_57_4 = e3
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (235),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (3983), (4041), (function-axioms) are inconsistent
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2474.
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (4042) all_57_5 = e3 & op(e2, e1) = e3
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4042) implies:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (4043) all_57_5 = e3
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4028) gives:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4044) all_57_9 = e0 & op(e3, e0) = e0
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (4007), (4044), (function-axioms) are
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2434.
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4045) (all_57_10 = e0 & op(e2, e0) = e0) | (all_57_11 =
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4045) gives:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4046) all_57_10 = e0 & op(e2, e0) = e0
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4046) implies:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4047) all_57_10 = e0
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (223), (224), (3970),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4043), (4047) are inconsistent by sub-proof
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1518.
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4048) all_57_11 = e0 & op(e1, e0) = e0
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4048) implies:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4049) all_57_11 = e0
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4050) (all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 =
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (169), (223), (224),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3970), (3982), (4043), (4050), (function-axioms)
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1409.
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4051) (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 =
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4051) gives:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4052) all_57_11 = e3 & op(e1, e0) = e3
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4052) implies:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4053) all_57_11 = e3
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4049), (4053) are inconsistent by sub-proof
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1595.
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4054) all_57_15 = e3 & op(e0, e0) = e3
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4054) implies:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4055) all_57_15 = e3
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (208), (209), (4035),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4038), (4055) are inconsistent by sub-proof
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1763.
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | (4056) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (39), (374), (4035), (4056),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | #2419.
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | (4057) all_57_13 = e3 & op(e0, e2) = e3
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4057) implies:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | (4058) all_57_13 = e3
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | (4059) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4059) gives:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (4060) all_57_4 = e3 & op(e3, e1) = e3
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4060) implies:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (4061) all_57_4 = e3
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (235),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (3983), (4061), (function-axioms) are inconsistent
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2474.
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (4062) all_57_5 = e3 & op(e2, e1) = e3
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4062) implies:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (4063) all_57_5 = e3
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (4064) op(e2, e1) = e3
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4028) gives:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4065) all_57_9 = e0 & op(e3, e0) = e0
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (4007), (4065), (function-axioms) are
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2434.
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4066) (all_57_10 = e0 & op(e2, e0) = e0) | (all_57_11 =
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4066) gives:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4067) all_57_10 = e0 & op(e2, e0) = e0
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4067) implies:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4068) all_57_10 = e0
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (223), (224), (3970),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4063), (4068) are inconsistent by sub-proof
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1518.
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4069) all_57_11 = e0 & op(e1, e0) = e0
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4069) implies:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4070) all_57_11 = e0
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (67), (88),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (94), (107), (121), (124), (134), (135), (137),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (166), (169), (170), (171), (195), (202),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (204), (207), (208), (209), (211), (212),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (216), (217), (218), (219),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (223), (224), (227), (228), (229), (230),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (249), (268),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (270), (315), (332), (336), (363), (364),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (3960), (3963), (3970), (3971), (3982),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3983), (3986), (4058), (4063), (4064), (4070),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1408.
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | (4071) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (39), (374), (4035), (4071),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | | #2419.
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | (4072) (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 =
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4072) gives:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | (4073) all_57_14 = e3 & op(e0, e1) = e3
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4073) implies:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | (4074) all_57_14 = e3
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4035), (4074) are inconsistent by sub-proof
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | #2420.
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | (4075) all_57_15 = e3 & op(e0, e0) = e3
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4075) implies:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | (4076) all_57_15 = e3
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | (4077) op(e0, e0) = e3
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (39), (45), (67), (88), (94),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | (107), (121), (124), (134), (135), (137), (163),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | (166), (169), (170), (171), (195), (202), (203),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (207), (208), (209), (211), (212),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (225), (227), (228), (229),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | (237), (249), (268), (269), (270), (277), (315),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | (332), (336), (348), (363), (364), (374), (376),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | (3960), (3963), (3970), (3973), (3975), (4076),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | (4077), (function-axioms) are inconsistent by
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1414.
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.32 | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.32 | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | End of split
% 220.76/37.32 | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | End of split
% 220.76/37.32 | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | Case 2:
% 220.76/37.32 | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | (4078) all_30_2 = e1
% 220.76/37.32 | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (4078) imply:
% 220.76/37.32 | | | | | | | | | | | | | | | | (4079) all_4_2 = e1
% 220.76/37.32 | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | SIMP: (4079) implies:
% 220.76/37.32 | | | | | | | | | | | | | | | | (4080) all_4_2 = e1
% 220.76/37.32 | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | REDUCE: (351), (4080) imply:
% 220.76/37.32 | | | | | | | | | | | | | | | | (4081) ~ (all_53_3 = e1)
% 220.76/37.32 | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | REDUCE: (362), (4080) imply:
% 220.76/37.32 | | | | | | | | | | | | | | | | (4082) ~ (all_53_7 = e1)
% 220.76/37.32 | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | REDUCE: (371), (4080) imply:
% 220.76/37.32 | | | | | | | | | | | | | | | | (4083) ~ (all_53_13 = e1)
% 220.76/37.32 | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | REDUCE: (378), (4080) imply:
% 220.76/37.32 | | | | | | | | | | | | | | | | (4084) ~ (e3 = e1)
% 220.76/37.32 | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | REDUCE: (373), (4080) imply:
% 220.76/37.32 | | | | | | | | | | | | | | | | (4085) ~ (e2 = e1)
% 220.76/37.32 | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | REDUCE: (36), (4080) imply:
% 220.76/37.32 | | | | | | | | | | | | | | | | (4086) op(e0, e0) = e1
% 220.76/37.32 | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 220.76/37.32 | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.32 | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | (4087) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 =
% 220.76/37.32 | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 220.76/37.32 | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | BETA: splitting (4087) gives:
% 220.76/37.32 | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.32 | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (4088) all_57_9 = e1 & op(e3, e0) = e1
% 220.76/37.32 | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | ALPHA: (4088) implies:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (4089) all_57_9 = e1
% 220.76/37.32 | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (67),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (88), (94), (107), (111), (113), (119), (121),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (122), (124), (127), (129), (134), (135), (136),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (137), (142), (144), (158), (159), (161), (163),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (164), (165), (166), (169), (170), (171), (191),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (192), (194), (195), (196), (199), (202), (203),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (204), (205), (207), (208), (209), (210), (211),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (216), (217), (218),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (219), (220), (221), (223), (224), (225), (227),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (235), (236), (237), (245), (246), (248), (249),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (256), (259), (268), (269), (270), (277), (315),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (332), (336), (348), (361), (363), (364), (366),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (368), (374), (376), (3960), (3962), (3963),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (3964), (3970), (3971), (3973), (3975), (3980),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (3981), (3982), (3983), (3986), (4086), (4089),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.76/37.32 | | | | | | | | | | | | | | | | | | #1384.
% 220.76/37.32 | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.32 | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (4090) all_57_10 = e1 & op(e2, e0) = e1
% 220.76/37.32 | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (4083), (4090), (function-axioms) are
% 220.76/37.32 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2084.
% 220.76/37.32 | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | End of split
% 220.76/37.32 | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.32 | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | (4091) (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 =
% 220.76/37.32 | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 220.76/37.32 | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | BETA: splitting (4091) gives:
% 220.76/37.32 | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.32 | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (4092) all_57_11 = e1 & op(e1, e0) = e1
% 220.76/37.32 | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | ALPHA: (4092) implies:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (4093) all_57_11 = e1
% 220.76/37.32 | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (67),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (88), (94), (107), (111), (113), (119), (121),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (122), (124), (127), (129), (134), (135), (136),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (137), (142), (144), (158), (159), (161), (163),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (164), (165), (166), (169), (170), (171), (191),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (192), (194), (195), (196), (199), (202), (203),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (204), (205), (207), (208), (209), (210), (211),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (216), (217), (218),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (219), (220), (221), (223), (224), (225), (227),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (235), (236), (237), (245), (246), (248), (249),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (256), (259), (268), (269), (270), (277), (315),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (332), (336), (348), (361), (363), (364), (366),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (368), (374), (376), (3960), (3962), (3963),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (3964), (3970), (3971), (3973), (3975), (3980),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (3981), (3982), (3983), (3986), (3988), (4086),
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (4093), (function-axioms) are inconsistent by
% 220.76/37.32 | | | | | | | | | | | | | | | | | | sub-proof #1373.
% 220.76/37.32 | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.32 | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (4094) all_57_15 = e1 & op(e0, e0) = e1
% 220.76/37.32 | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | ALPHA: (4094) implies:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | (4095) all_57_15 = e1
% 220.76/37.32 | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 220.76/37.32 | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.32 | | | | | | | | | | | | | | | | | | |
% 220.76/37.32 | | | | | | | | | | | | | | | | | | | (4096) ~ (all_38_2 = e2)
% 220.76/37.33 | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | REDUCE: (249), (4096) imply:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | (4097) ~ (all_6_2 = e2)
% 220.76/37.33 | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | (4098) all_55_10 = e3
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (374), (4098) are inconsistent by sub-proof
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | #2500.
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | (4099) ~ (all_55_10 = e3)
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | (4100) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4100) gives:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | (4101) all_55_10 = e2
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (4097), (4101) are inconsistent by
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | sub-proof #2499.
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | (4102) ~ (all_55_10 = e2)
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | (4103) all_55_10 = e1 | all_55_10 = e0
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4103) gives:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | (4104) all_55_10 = e1
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (4104) imply:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | (4105) all_6_2 = e1
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | SIMP: (4105) implies:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | (4106) all_6_2 = e1
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (4106) imply:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | (4107) op(e1, e1) = e1
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | (4108) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4108) gives:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | (4109) all_57_0 = e1 & op(e3, e3) = e1
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4109) implies:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | (4110) op(e3, e3) = e1
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3983), (4110), (function-axioms) are
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | (4111) all_57_1 = e1 & op(e3, e2) = e1
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4111) implies:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | (4112) op(e3, e2) = e1
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_4, e1,
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (171), (4112) gives:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | (4113) all_53_4 = e1
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (4113) imply:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | (4114) ~ (all_53_6 = e1)
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4114) implies:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | (4115) ~ (all_53_6 = e1)
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (4113) imply:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | (4116) ~ (all_53_7 = e1)
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | (4117) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4117) gives:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (4118) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4107), (4112), (4118), (function-axioms) are
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2111.
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (4119) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3971), (4086), (4119), (function-axioms) are
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1372.
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | (4120) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4120) gives:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (4121) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4121) implies:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (4122) op(e1, e2) = all_52_19
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (4123) op(all_52_19, all_52_19) = e2
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_6,
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_19, e2, e1, simplifying with (163), (4122)
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (4124) all_53_6 = all_52_19
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (4124) imply:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (4125) all_55_9 = all_52_19
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (4124) imply:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (4126) ~ (all_53_7 = all_52_19)
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4126) implies:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (4127) ~ (all_53_7 = all_52_19)
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4115), (4124) imply:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (4128) ~ (all_52_19 = e1)
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3961), (4124) imply:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (4129) ~ (all_52_19 = e0)
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4130) all_55_13 = e3
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (4130) imply:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4131) all_53_7 = e3
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4131) implies:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4132) all_53_7 = e3
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4127), (4132) imply:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4133) ~ (all_52_19 = e3)
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4133) implies:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4134) ~ (all_52_19 = e3)
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4135) all_55_9 = e3
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4125), (4135) imply:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4136) all_52_19 = e3
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4134), (4136) imply:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4137) $false
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4137) is inconsistent.
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4138) all_55_9 = e2 | all_55_9 = e1 | all_55_9 = e0
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3971), (4123), (4125), (4128), (4129), (4138),
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1371.
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4139) all_55_13 = e2 | all_55_13 = e1 | all_55_13 = e0
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4139) gives:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4140) all_55_13 = e2
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (4140) imply:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4141) all_53_7 = e2
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4141) implies:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4142) all_53_7 = e2
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4127), (4142) imply:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4143) ~ (all_52_19 = e2)
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4143) implies:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4144) ~ (all_52_19 = e2)
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (196), (3983), (4123), (4125), (4128), (4129),
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4144), (function-axioms) are inconsistent by
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1370.
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4145) all_55_13 = e1 | all_55_13 = e0
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (3962), (4082), (4145) are inconsistent by
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1837.
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (4146) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4146) implies:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (4147) op(e0, e0) = all_52_31
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (4148) op(all_52_31, all_52_31) = e0
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (3988), (4086), (4147), (4148),
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | #2086.
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | (4149) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4149) gives:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | (4150) all_57_4 = e1 & op(e3, e1) = e1
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4150) implies:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | (4151) all_57_4 = e1
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | (4152) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (171), (3960), (3983), (4152),
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | #1543.
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | (4153) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4153) gives:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (4154) all_57_4 = e0 & op(e3, e1) = e0
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4154) implies:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (4155) all_57_4 = e0
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4151), (4155) are inconsistent by sub-proof
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | #2438.
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (4156) all_57_9 = e0 & op(e3, e0) = e0
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4156) implies:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (4157) all_57_9 = e0
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4158) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4158) gives:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4159) all_57_4 = e0 & op(e3, e1) = e0
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4159) implies:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4160) all_57_4 = e0
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (233), (235), (3983),
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4157), (4160), (function-axioms) are inconsistent
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2436.
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4161) all_57_5 = e0 & op(e2, e1) = e0
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4161) implies:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4162) all_57_5 = e0
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (223), (224),
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (3970), (3971), (4083), (4162),
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1689.
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4163) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (220), (221),
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (4107), (4151), (4163), (function-axioms)
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2417.
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | (4164) all_57_9 = e1 & op(e3, e0) = e1
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4164) implies:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | (4165) all_57_9 = e1
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (67),
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | (88), (94), (107), (111), (113), (119), (121),
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | (122), (124), (127), (129), (134), (135), (136),
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | (137), (142), (144), (158), (159), (161), (163),
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (166), (169), (170), (171), (191),
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | (192), (194), (195), (196), (199), (202), (203),
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (207), (208), (209), (210), (211),
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (216), (217), (218),
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (223), (224), (225), (227),
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (237), (245), (246), (248), (249),
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | (256), (259), (268), (269), (270), (277), (315),
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | (332), (336), (348), (361), (363), (364), (366),
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | (368), (374), (376), (3960), (3962), (3963),
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | (3964), (3970), (3971), (3973), (3975), (3980),
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | (3981), (3982), (3983), (3986), (4086), (4165),
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | | #1384.
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | (4166) all_55_10 = e0
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (3988), (4166) are inconsistent by
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2118.
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.33 | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | (4167) all_38_2 = e2
% 220.76/37.33 | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (4167) imply:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | (4168) all_6_2 = e2
% 220.76/37.33 | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | REDUCE: (350), (4168) imply:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | (4169) ~ (all_53_2 = e2)
% 220.76/37.33 | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | REDUCE: (361), (4168) imply:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | (4170) ~ (all_53_6 = e2)
% 220.76/37.33 | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | REDUCE: (374), (4168) imply:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | (4171) ~ (e3 = e2)
% 220.76/37.33 | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | REDUCE: (39), (4168) imply:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | (4172) op(e1, e1) = e2
% 220.76/37.33 | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | (4173) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4173) gives:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | |
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.33 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | (4174) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4174) implies:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | (4175) op(e3, e0) = all_52_7
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | (4176) op(e3, e1) = all_52_5
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | (4177) op(e3, e3) = all_52_1
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | (4178) op(all_52_7, all_52_7) = e0
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | (4179) op(all_52_5, all_52_5) = e1
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | (4180) op(all_52_1, all_52_1) = e3
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | (4181) ~ (all_50_2 = e0)
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3959), (4181) imply:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | (4182) $false
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4182) is inconsistent.
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | (4183) ( ~ (all_50_0 = e3) & op(all_50_1, e2) = all_50_0
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_50_1 & $i(all_50_0) &
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)) | ( ~ (all_50_1 = e1) & op(e2, e0)
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | (4184) all_55_13 = e3
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (4184) imply:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | (4185) all_53_7 = e3
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4185) implies:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | (4186) all_53_7 = e3
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (4186) imply:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | (4187) ~ (all_53_6 = e3)
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | (4188) all_55_9 = e3
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (4187), (4188) are inconsistent by
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2159.
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | (4189) ~ (all_55_9 = e3)
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | (4190) all_55_9 = e2 | all_55_9 = e1 | all_55_9 = e0
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4190) gives:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | (4191) all_55_9 = e2
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (4170), (4191) are inconsistent by
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2274.
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | (4192) ~ (all_55_9 = e2)
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | (4193) all_55_9 = e1 | all_55_9 = e0
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (4194) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4194) gives:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4195) all_57_4 = e3 & op(e3, e1) = e3
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4195) implies:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4196) all_57_4 = e3
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (235),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3983), (4196), (function-axioms) are inconsistent
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2474.
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4197) all_57_5 = e3 & op(e2, e1) = e3
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4197) implies:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4198) all_57_5 = e3
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4199) op(e2, e1) = e3
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4200) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 =
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4200) gives:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4201) all_57_12 = e3 & op(e0, e3) = e3
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4201) implies:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4202) all_57_12 = e3
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4203) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (144), (145),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (165), (171), (197), (207), (218), (219),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (223), (224), (225), (227), (228),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (256),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (257), (374), (3960), (3961), (3970), (3971),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3978), (3983), (3988), (4083), (4086), (4169),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4170), (4175), (4176), (4178), (4179), (4187),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4193), (4198), (4203), (function-axioms) are
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1364.
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4204) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4204) gives:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4205) all_57_8 = e3 & op(e1, e1) = e3
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4205) implies:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4206) op(e1, e1) = e3
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (4206), (function-axioms) are
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4207) all_57_11 = e3 & op(e1, e0) = e3
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4207) implies:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4208) all_57_11 = e3
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4209) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4209) gives:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4210) all_57_12 = e2 & op(e0, e3) = e2
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4210) implies:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4211) all_57_12 = e2
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4202), (4211) are inconsistent by sub-proof
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2392.
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4212) all_57_13 = e2 & op(e0, e2) = e2
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4212) implies:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4213) all_57_13 = e2
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (67),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (88), (94), (107), (111), (113), (119), (121),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (122), (124), (127), (129), (134), (135), (136),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (142), (144), (145), (158), (159), (160),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (161), (163), (164), (165), (166), (169), (170),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (171), (191), (192), (194), (195), (196), (197),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (199), (202), (203), (204), (205), (207), (208),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (211), (212), (213), (214), (215),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (223),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (227), (228), (229), (230), (231),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (245),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (248), (249), (256), (257), (259), (268),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (270), (277), (315), (332), (336), (348),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (361), (363), (364), (366), (368), (374), (376),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3960), (3961), (3962), (3963), (3964), (3970),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3971), (3973), (3975), (3978), (3980), (3981),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3982), (3983), (3986), (3988), (4083), (4086),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4169), (4170), (4175), (4176), (4177), (4178),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4179), (4180), (4187), (4193), (4198), (4208),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4213), (function-axioms) are inconsistent by
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1357.
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4214) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4214) gives:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4215) all_57_14 = e2 & op(e0, e1) = e2
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4215) implies:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4216) all_57_14 = e2
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (171), (219),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (223), (224), (225), (230), (231),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (374), (3960), (3970),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3971), (3983), (4086), (4175), (4177), (4178),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4180), (4202), (4216), (function-axioms) are
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1356.
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4217) all_57_15 = e2 & op(e0, e0) = e2
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4217) implies:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4218) op(e0, e0) = e2
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4086), (4218), (function-axioms) are
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2177.
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4219) all_57_13 = e3 & op(e0, e2) = e3
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4219) implies:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4220) all_57_13 = e3
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4221) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (144), (145),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (165), (171), (197), (207), (218), (219),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (223), (224), (225), (227), (228),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (256),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (257), (374), (3960), (3961), (3970), (3971),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3978), (3983), (3988), (4083), (4086), (4169),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4170), (4175), (4176), (4178), (4179), (4187),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4193), (4198), (4221), (function-axioms) are
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1364.
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4222) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4222) gives:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4223) all_57_8 = e3 & op(e1, e1) = e3
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4223) implies:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4224) op(e1, e1) = e3
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (4224), (function-axioms) are
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4225) all_57_11 = e3 & op(e1, e0) = e3
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4225) implies:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4226) all_57_11 = e3
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4227) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4227) gives:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4228) all_57_12 = e2 & op(e0, e3) = e2
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4228) implies:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4229) all_57_12 = e2
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4230) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4230) gives:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4231) all_57_4 = e1 & op(e3, e1) = e1
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4231) implies:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4232) all_57_4 = e1
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4233) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4233) gives:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4234) all_57_2 = e1 & op(e2, e3) = e1
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4234) implies:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4235) all_57_2 = e1
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4236) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4236) gives:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4237) all_57_4 = e0 & op(e3, e1) = e0
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (223), (224), (3970),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4198), (4232), (4235), (4237) are inconsistent by
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1355.
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4238) all_57_5 = e0 & op(e2, e1) = e0
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4238) implies:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4239) all_57_5 = e0
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3970), (3971), (4235), (4239), (function-axioms)
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2353.
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4240) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (171), (219),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (231), (3960), (3983), (3988), (4086),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4175), (4178), (4198), (4240), (function-axioms)
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1354.
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4241) all_57_3 = e1 & op(e2, e2) = e1
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4241) implies:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4242) op(e2, e2) = e1
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3971), (4242), (function-axioms) are
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4243) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4243) gives:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4244) all_57_5 = e1 & op(e2, e1) = e1
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4244) implies:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4245) all_57_5 = e1
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4198), (4245) imply:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4246) e3 = e1
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4226), (4246) imply:
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4247) all_57_11 = e1
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (67),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (88), (94), (107), (111), (113), (119), (121),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (122), (124), (127), (129), (134), (135), (136),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (142), (144), (158), (159), (161), (163),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (166), (169), (170), (171), (191),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (192), (194), (195), (196), (199), (202), (203),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (207), (208), (209), (210), (211),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (216), (217), (218),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (223), (224), (225), (227),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (237), (245), (246), (248), (249),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (256), (259), (268), (269), (270), (277), (315),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (332), (336), (348), (361), (363), (364), (366),
% 220.76/37.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (368), (374), (376), (3960), (3962), (3963),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3964), (3970), (3971), (3973), (3975), (3980),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3981), (3982), (3983), (3986), (3988), (4086),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4247), (function-axioms) are inconsistent by
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1373.
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4248) all_57_10 = e1 & op(e2, e0) = e1
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (4083), (4248), (function-axioms) are
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2084.
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4249) all_57_5 = e1 & op(e2, e1) = e1
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (67),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (88), (94), (107), (111), (113), (119), (121),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (122), (124), (127), (129), (134), (135), (136),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (142), (144), (158), (159), (161), (163),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (166), (169), (170), (171), (191),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (192), (194), (195), (196), (199), (202), (203),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (207), (208), (209), (210), (211),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (216), (217), (218),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (223), (224), (225), (227),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (237), (245), (246), (248), (249),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (256), (259), (268), (269), (270), (277), (315),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (332), (336), (348), (361), (363), (364), (366),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (368), (374), (376), (3960), (3962), (3963),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3964), (3970), (3971), (3973), (3975), (3980),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3981), (3982), (3983), (3986), (3988), (4086),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4198), (4226), (4249), (function-axioms) are
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1353.
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4250) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4250) gives:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4251) all_57_8 = e1 & op(e1, e1) = e1
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4251) implies:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4252) op(e1, e1) = e1
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4172), (4252), (function-axioms) are
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2423.
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4253) all_57_14 = e1 & op(e0, e1) = e1
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4253) implies:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4254) all_57_14 = e1
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4255) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4255) gives:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4256) all_57_2 = e1 & op(e2, e3) = e1
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4256) implies:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4257) all_57_2 = e1
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4258) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4258) gives:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4259) all_57_4 = e0 & op(e3, e1) = e0
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4259) implies:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4260) all_57_4 = e0
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4261) op(e3, e1) = e0
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4262) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3970), (3983), (4198), (4262), (function-axioms)
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1784.
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4263) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4263) gives:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4264) all_57_6 = e0 & op(e1, e3) = e0
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4264) implies:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4265) all_57_6 = e0
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4266) op(e1, e3) = e0
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4267) all_57_15 = e0 & op(e0, e0) = e0
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4267) implies:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4268) all_57_15 = e0
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4269) op(e0, e0) = e0
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (39), (45), (67), (88), (94),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (107), (111), (113), (119), (121), (122), (124),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (127), (129), (134), (135), (136), (137), (142),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (144), (158), (159), (161), (163), (164), (165),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (166), (169), (170), (171), (191), (192), (194),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (196), (199), (202), (203), (204), (205),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (213),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (225), (227), (228), (229),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (245), (246), (248), (249), (256), (259),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (268), (269), (270), (277), (315), (332), (336),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (348), (361), (363), (364), (366), (368), (374),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (3962), (3970), (3971), (3973), (3975),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3980), (3981), (3982), (3983), (3986), (4260),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4261), (4265), (4266), (4268), (4269),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1410.
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4270) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4270) implies:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4271) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4272) (all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 & op(e1,
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (67),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (88), (94), (107), (121), (124), (134), (135),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (159), (163), (165), (166), (169), (170),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (171), (195), (202), (203), (204), (205), (207),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (221),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (227), (228), (229), (230),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (249), (268), (269), (270), (277), (315), (332),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (336), (348), (363), (364), (374), (376), (3960),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3962), (3963), (3964), (3970), (3973), (3975),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3982), (3983), (4254), (4260), (4271), (4272),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1386.
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4273) all_57_12 = e0 & op(e0, e3) = e0
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4229), (4273) are inconsistent by sub-proof
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2185.
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4274) all_57_5 = e0 & op(e2, e1) = e0
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4274) implies:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4275) all_57_5 = e0
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3970), (3971), (4257), (4275), (function-axioms)
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2353.
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4276) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (171), (219),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (231), (3960), (3983), (3988), (4086),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4175), (4178), (4198), (4276), (function-axioms)
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1354.
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4277) all_57_3 = e1 & op(e2, e2) = e1
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4277) implies:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4278) op(e2, e2) = e1
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3971), (4278), (function-axioms) are
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4279) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4279) gives:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4280) all_57_5 = e1 & op(e2, e1) = e1
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (67),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (88), (94), (107), (111), (113), (119), (121),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (122), (124), (127), (129), (134), (135), (136),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (142), (144), (158), (159), (161), (163),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (166), (169), (170), (171), (191),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (192), (194), (195), (196), (199), (202), (203),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (207), (208), (209), (210), (211),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (216), (217), (218),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (223), (224), (225), (227),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (237), (245), (246), (248), (249),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (256), (259), (268), (269), (270), (277), (315),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (332), (336), (348), (361), (363), (364), (366),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (368), (374), (376), (3960), (3962), (3963),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3964), (3970), (3971), (3973), (3975), (3980),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3981), (3982), (3983), (3986), (3988), (4086),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4198), (4226), (4280), (function-axioms) are
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1353.
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4281) all_57_10 = e1 & op(e2, e0) = e1
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (4083), (4281), (function-axioms) are
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2084.
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4282) all_57_13 = e2 & op(e0, e2) = e2
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4282) implies:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4283) all_57_13 = e2
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (67),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (88), (94), (107), (111), (113), (119), (121),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (122), (124), (127), (129), (134), (135), (136),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (142), (144), (145), (158), (159), (160),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (161), (163), (164), (165), (166), (169), (170),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (171), (191), (192), (194), (195), (196), (197),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (199), (202), (203), (204), (205), (207), (208),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (211), (212), (213), (214), (215),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (223),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (227), (228), (229), (230), (231),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (245),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (248), (249), (256), (257), (259), (268),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (270), (277), (315), (332), (336), (348),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (361), (363), (364), (366), (368), (374), (376),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3960), (3961), (3962), (3963), (3964), (3970),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3971), (3973), (3975), (3978), (3980), (3981),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3982), (3983), (3986), (3988), (4083), (4086),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4169), (4170), (4175), (4176), (4177), (4178),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4179), (4180), (4187), (4193), (4198), (4226),
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4283), (function-axioms) are inconsistent by
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1357.
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4284) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 220.76/37.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (67),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (88), (94), (107), (111), (113), (119), (121),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (122), (124), (127), (129), (134), (135), (136),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (142), (144), (158), (159), (161), (163),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (166), (169), (170), (171), (191),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (192), (194), (195), (196), (199), (202), (203),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (207), (208), (209), (210), (211),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (216), (217), (218),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (223), (224), (225), (226),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (245), (246), (248),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (249), (256), (259), (268), (269), (270), (277),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (315), (332), (336), (348), (361), (363), (364),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (366), (368), (374), (376), (3960), (3962),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3963), (3964), (3970), (3971), (3973), (3975),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3980), (3981), (3982), (3983), (3986), (3988),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4083), (4086), (4095), (4172), (4175), (4177),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4178), (4180), (4220), (4284), (function-axioms)
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1347.
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4285) (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 =
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4285) gives:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4286) all_57_14 = e3 & op(e0, e1) = e3
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (67),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (88), (94), (107), (111), (113), (119), (121),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (122), (124), (127), (129), (134), (135), (136),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (142), (144), (145), (158), (159), (160),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (161), (163), (164), (165), (166), (169), (170),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (171), (191), (192), (194), (195), (196), (197),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (199), (202), (203), (204), (205), (207), (208),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (211), (212), (213), (214), (215),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (223),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (246), (248), (249), (256), (257), (259),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (268), (269), (270), (277), (315), (332), (336),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (348), (361), (363), (364), (366), (368), (374),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (3960), (3961), (3962), (3963), (3964),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3970), (3971), (3973), (3975), (3978), (3980),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3981), (3982), (3983), (3986), (3988), (4083),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4086), (4095), (4169), (4170), (4172), (4175),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4176), (4177), (4178), (4179), (4180), (4187),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4193), (4286), (function-axioms) are inconsistent
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1338.
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4287) all_57_15 = e3 & op(e0, e0) = e3
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4287) implies:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4288) all_57_15 = e3
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4289) op(e0, e0) = e3
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (67), (88),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (94), (107), (121), (124), (134), (135), (137),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (166), (169), (170), (171), (195), (202),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (204), (207), (208), (209), (211), (212),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (227), (228), (230), (231), (232),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (237), (249), (268), (269),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (270), (315), (332), (336), (363), (364), (374),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3960), (3963), (3970), (3982), (3983), (4198),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4199), (4288), (4289), (function-axioms) are
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1438.
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (4290) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4290) gives:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4291) all_57_8 = e3 & op(e1, e1) = e3
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4291) implies:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4292) op(e1, e1) = e3
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (4292), (function-axioms) are
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4293) all_57_14 = e3 & op(e0, e1) = e3
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (67),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (88), (94), (107), (111), (113), (119), (121),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (122), (124), (127), (129), (134), (135), (136),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (142), (144), (145), (158), (159), (160),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (161), (163), (164), (165), (166), (169), (170),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (171), (191), (192), (194), (195), (196), (197),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (199), (202), (203), (204), (205), (207), (208),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (211), (212), (213), (214), (215),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (223),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (246), (248), (249), (256), (257), (259),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (268), (269), (270), (277), (315), (332), (336),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (348), (361), (363), (364), (366), (368), (374),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (3960), (3961), (3962), (3963), (3964),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3970), (3971), (3973), (3975), (3978), (3980),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3981), (3982), (3983), (3986), (3988), (4083),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4086), (4095), (4169), (4170), (4172), (4175),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4176), (4177), (4178), (4179), (4180), (4187),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4193), (4293), (function-axioms) are inconsistent
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1338.
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | (4294) ~ (all_55_13 = e3)
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | (4295) all_55_13 = e2 | all_55_13 = e1 | all_55_13 = e0
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (246), (4294) imply:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | (4296) ~ (all_53_7 = e3)
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | (4297) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 =
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4297) gives:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | (4298) all_57_12 = e3 & op(e0, e3) = e3
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4298) implies:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | (4299) all_57_12 = e3
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (4300) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (3970), (3983), (4300), (function-axioms) are
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2229.
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (4301) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4301) gives:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4302) all_57_6 = e0 & op(e1, e3) = e0
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4302) implies:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4303) op(e1, e3) = e0
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (145), (164), (193), (246), (247), (3962),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3979), (4081), (4082), (4295), (4303),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1335.
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4304) all_57_12 = e0 & op(e0, e3) = e0
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4299), (4304) are inconsistent by sub-proof
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2237.
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | (4305) all_57_13 = e3 & op(e0, e2) = e3
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4305) implies:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | (4306) all_57_13 = e3
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (4307) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4307) gives:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4308) all_57_12 = e2 & op(e0, e3) = e2
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4308) implies:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4309) all_57_12 = e2
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4310) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3970), (3983), (4310), (function-axioms) are
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2229.
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4311) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4311) gives:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4312) all_57_6 = e0 & op(e1, e3) = e0
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4312) implies:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4313) op(e1, e3) = e0
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (145), (164), (193), (246), (247), (3962),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3979), (4081), (4082), (4295), (4313),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1335.
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4314) all_57_12 = e0 & op(e0, e3) = e0
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4309), (4314) are inconsistent by sub-proof
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2185.
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4315) all_57_13 = e2 & op(e0, e2) = e2
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4306), (4315) are inconsistent by sub-proof
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2146.
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (4316) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (67),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (88), (94), (107), (111), (113), (119), (121),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (122), (124), (127), (129), (134), (135), (136),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (142), (144), (158), (159), (161), (163),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (166), (169), (170), (171), (191),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (192), (194), (195), (196), (199), (202), (203),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (207), (208), (209), (210), (211),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (216), (217), (218),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (223), (224), (225), (226),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (245), (246), (248),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (249), (256), (259), (268), (269), (270), (277),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (315), (332), (336), (348), (361), (363), (364),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (366), (368), (374), (376), (3960), (3962),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (3963), (3964), (3970), (3971), (3973), (3975),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (3980), (3981), (3982), (3983), (3986), (3988),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (4083), (4086), (4095), (4172), (4175), (4177),
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (4178), (4180), (4306), (4316), (function-axioms)
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1347.
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.36 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | (4317) (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 =
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4317) gives:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | (4318) all_57_14 = e3 & op(e0, e1) = e3
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4318) implies:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | (4319) all_57_14 = e3
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (4320) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4320) gives:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4321) all_57_4 = e0 & op(e3, e1) = e0
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4321) implies:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4322) all_57_4 = e0
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4323) op(e3, e1) = e0
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4324) all_57_15 = e0 & op(e0, e0) = e0
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4324) implies:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4325) op(e0, e0) = e0
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4176), (4179), (4323), (4325),
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2167.
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4326) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4326) implies:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4327) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4328) (all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 & op(e1,
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4327) gives:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4329) all_57_12 = e0 & op(e0, e3) = e0
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4329) implies:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4330) all_57_12 = e0
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4331) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4331) gives:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4332) all_57_0 = e1 & op(e3, e3) = e1
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4332) implies:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4333) op(e3, e3) = e1
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3983), (4333), (function-axioms) are
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4334) all_57_1 = e1 & op(e3, e2) = e1
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4334) implies:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4335) all_57_1 = e1
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4336) op(e3, e2) = e1
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4337) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (3971), (4177), (4180), (4335), (4337),
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1342.
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4338) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4338) gives:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4339) all_57_4 = e2 & op(e3, e1) = e2
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (165), (171),
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (221), (223), (224), (225),
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (235), (374), (3960), (3970),
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3971), (3983), (3988), (4083), (4086), (4175),
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4178), (4339), (function-axioms) are inconsistent
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1361.
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4340) all_57_9 = e2 & op(e3, e0) = e2
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4340) implies:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4341) all_57_9 = e2
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4342) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4342) gives:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4343) all_57_1 = e3 & op(e3, e2) = e3
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4343) implies:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4344) all_57_1 = e3
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4335), (4344) imply:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4345) e3 = e1
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4345) implies:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4346) e3 = e1
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4319), (4346) imply:
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4347) all_57_14 = e1
% 220.76/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (67),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (88), (94), (107), (121), (124), (134), (135),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (163), (165), (166), (169), (170), (171),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (202), (203), (204), (205), (207), (208),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (211), (212), (213), (214), (215),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (223),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (227), (228), (229), (230), (231),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (249),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (268), (269), (270), (277), (315), (332), (336),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (348), (363), (364), (374), (376), (3960), (3963),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3964), (3970), (3973), (3975), (3982), (3983),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4322), (4328), (4330), (4347), (function-axioms)
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1387.
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4348) all_57_3 = e3 & op(e2, e2) = e3
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4348) implies:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4349) all_57_3 = e3
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3970), (4349) imply:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4350) e3 = e0
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4319), (4350) imply:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4351) all_57_14 = e0
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (219), (220),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (374), (4322), (4351), (function-axioms)
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2371.
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4352) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4352) gives:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4353) all_57_7 = e3 & op(e1, e2) = e3
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4353) implies:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4354) all_57_7 = e3
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4295) gives:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4355) all_55_13 = e2
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (4355) imply:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4356) all_53_7 = e2
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4356) implies:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4357) all_53_7 = e2
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (4357) imply:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4358) ~ (all_53_3 = e2)
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4359) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4359) gives:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4360) all_57_4 = e1 & op(e3, e1) = e1
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4360) implies:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4361) all_57_4 = e1
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4322), (4361) imply:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4362) e1 = e0
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4362) implies:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4363) e1 = e0
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4335), (4363) imply:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4364) all_57_1 = e0
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (233), (3983), (4322), (4341),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4364), (function-axioms) are inconsistent by
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2219.
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4365) all_57_5 = e1 & op(e2, e1) = e1
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4365) implies:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4366) all_57_5 = e1
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4367) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4367) gives:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4368) all_57_2 = e3 & op(e2, e3) = e3
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4368) implies:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4369) all_57_2 = e3
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4370) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4370) gives:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4371) all_57_6 = e0 & op(e1, e3) = e0
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4371) implies:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4372) all_57_6 = e0
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (67),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (88), (94), (107), (111), (113), (119), (121),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (122), (124), (127), (129), (134), (135), (136),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (142), (144), (158), (159), (161), (163),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (166), (169), (170), (171), (191),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (192), (194), (195), (196), (199), (202), (203),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (207), (208), (209), (210), (211),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (216), (217), (218),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (223), (224), (225), (227),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (237), (245), (246), (248), (249),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (256), (259), (268), (269), (270), (277), (315),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (332), (336), (348), (361), (363), (364), (366),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (368), (374), (376), (3960), (3962), (3963),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3964), (3970), (3971), (3973), (3975), (3980),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3981), (3982), (3983), (3986), (3988), (4086),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4172), (4322), (4335), (4341), (4354), (4372),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1341.
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4373) all_57_7 = e0 & op(e1, e2) = e0
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4373) implies:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4374) all_57_7 = e0
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (227), (228), (229),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3970), (3971), (4335), (4374), (function-axioms)
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1378.
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4375) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4375) gives:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4376) all_57_8 = e0 & op(e1, e1) = e0
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (3988), (4376), (function-axioms) are
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2412.
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4377) all_57_11 = e0 & op(e1, e0) = e0
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4377) implies:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4378) all_57_11 = e0
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (207),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (213), (221), (222), (223), (224),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (228), (231), (233), (235), (374),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3970), (3982), (3983), (4354), (4369), (4378),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1329.
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4379) all_57_3 = e3 & op(e2, e2) = e3
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4379) implies:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4380) all_57_3 = e3
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3970), (4380) imply:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4381) e3 = e0
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4381) implies:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4382) e3 = e0
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4354), (4382) imply:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4383) all_57_7 = e0
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (227), (228), (229),
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3970), (3971), (4335), (4383), (function-axioms)
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1378.
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4384) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4384) gives:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4385) all_57_5 = e3 & op(e2, e1) = e3
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4385) implies:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4386) all_57_5 = e3
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4366), (4386) imply:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4387) e3 = e1
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4387) implies:
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4388) e3 = e1
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4319), (4388) imply:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4389) all_57_14 = e1
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (8), (9), (160), (209), (210), (4086),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4330), (4358), (4389), (function-axioms) are
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1964.
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4390) all_57_10 = e3 & op(e2, e0) = e3
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4390) implies:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4391) op(e2, e0) = e3
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3957) gives:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4392) ~ (all_14_0 = e1) & op(all_14_1, e2) = all_14_0 &
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_14_1 & $i(all_14_0) &
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4392) implies:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4393) ~ (all_14_0 = e1)
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4394) op(e2, e0) = all_14_1
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4395) op(all_14_1, e2) = all_14_0
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4183) gives:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4396) ~ (all_50_0 = e3) & op(all_50_1, e2) = all_50_0 &
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_50_1 & $i(all_50_0) &
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4396) implies:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4397) op(e2, e0) = all_50_1
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4336), (4391), (4393), (4394), (4395), (4397),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1328.
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4398) ~ (all_50_1 = e1) & op(e2, e0) = all_50_1 &
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4398) implies:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4399) op(e2, e0) = all_50_1
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4336), (4391), (4393), (4394), (4395), (4399),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1328.
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4400) ~ (all_14_1 = e3) & op(e2, e0) = all_14_1 &
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4183), (4391), (4400), (function-axioms) are
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1326.
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4401) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4401) gives:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4402) all_57_8 = e1 & op(e1, e1) = e1
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4402) implies:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4403) op(e1, e1) = e1
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4172), (4403), (function-axioms) are
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2423.
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4404) all_57_14 = e1 & op(e0, e1) = e1
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4404) implies:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4405) all_57_14 = e1
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (8), (9), (160), (209), (210), (4086),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4330), (4358), (4405), (function-axioms) are
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1964.
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4406) all_55_13 = e1 | all_55_13 = e0
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (3962), (4082), (4406) are inconsistent by
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1837.
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4407) all_57_13 = e3 & op(e0, e2) = e3
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (67),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (88), (94), (107), (111), (113), (119), (121),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (122), (124), (127), (129), (134), (135), (136),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (142), (144), (158), (159), (161), (163),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (166), (169), (170), (171), (191),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (192), (194), (195), (196), (199), (202), (203),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (207), (208), (209), (210), (211),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (216), (217), (218),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (223), (224), (225), (226),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (245), (246), (248),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (249), (256), (259), (268), (269), (270), (277),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (315), (332), (336), (348), (361), (363), (364),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (366), (368), (374), (376), (3960), (3962),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3963), (3964), (3970), (3971), (3973), (3975),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3980), (3981), (3982), (3983), (3986), (3988),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4083), (4086), (4095), (4172), (4175), (4177),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4178), (4180), (4319), (4407), (function-axioms)
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1339.
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4408) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4408) gives:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4409) all_57_4 = e1 & op(e3, e1) = e1
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4322), (4409) are inconsistent by sub-proof
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1411.
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4410) all_57_9 = e1 & op(e3, e0) = e1
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4410) implies:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4411) all_57_9 = e1
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (67),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (88), (94), (107), (111), (113), (119), (121),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (122), (124), (127), (129), (134), (135), (136),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (142), (144), (158), (159), (161), (163),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (166), (169), (170), (171), (191),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (192), (194), (195), (196), (199), (202), (203),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (207), (208), (209), (210), (211),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (216), (217), (218),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (223), (224), (225), (227),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (237), (245), (246), (248), (249),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (256), (259), (268), (269), (270), (277), (315),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (332), (336), (348), (361), (363), (364), (366),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (368), (374), (376), (3960), (3962), (3963),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3964), (3970), (3971), (3973), (3975), (3980),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3981), (3982), (3983), (3986), (4086), (4322),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4323), (4411), (function-axioms) are inconsistent
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1385.
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4412) (all_57_13 = e0 & op(e0, e2) = e0) | (all_57_14 =
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (219),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (374), (3962), (4322), (4412),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1399.
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4413) all_57_5 = e0 & op(e2, e1) = e0
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4413) implies:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4414) all_57_5 = e0
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (223), (224),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (3970), (3971), (4083), (4414),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1689.
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (4415) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (171), (219),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (231), (233), (235), (374), (3960),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (3983), (3988), (4086), (4175), (4178), (4415),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | #1366.
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | (4416) all_57_15 = e3 & op(e0, e0) = e3
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4416) implies:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | (4417) all_57_15 = e3
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | (4418) op(e0, e0) = e3
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (39), (45), (67), (88), (94),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | (107), (121), (124), (134), (135), (137), (163),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | (166), (169), (170), (171), (195), (202), (203),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (207), (208), (209), (211), (212),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (225), (227), (228), (229),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | (237), (249), (268), (269), (270), (277), (315),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | (332), (336), (348), (363), (364), (374), (376),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | (3960), (3963), (3970), (3973), (3975), (4417),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | (4418), (function-axioms) are inconsistent by
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1414.
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | (4419) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3971), (4086), (4419), (function-axioms) are
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1372.
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | (4420) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4420) gives:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | (4421) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4421) implies:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | (4422) op(e1, e1) = all_52_21
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | (4423) op(all_52_21, all_52_21) = e1
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | (4424) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_5 = e2
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4424) gives:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | (4425) all_57_4 = e2 & op(e3, e1) = e2
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4425) implies:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | (4426) all_57_4 = e2
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | (4427) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4427) gives:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | (4428) all_57_0 = e1 & op(e3, e3) = e1
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4428) implies:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | (4429) op(e3, e3) = e1
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3983), (4429), (function-axioms) are
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | (4430) all_57_1 = e1 & op(e3, e2) = e1
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4430) implies:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | (4431) all_57_1 = e1
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (4432) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (223), (224),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (3970), (3971), (4083), (4426), (4432),
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | #1362.
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (4433) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4433) gives:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4434) all_57_8 = e0 & op(e1, e1) = e0
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (3988), (4434), (function-axioms) are
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2412.
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4435) all_57_14 = e0 & op(e0, e1) = e0
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4435) implies:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4436) all_57_14 = e0
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4437) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4437) gives:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4438) all_57_4 = e3 & op(e3, e1) = e3
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4438) implies:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4439) all_57_4 = e3
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (235),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3983), (4439), (function-axioms) are inconsistent
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2474.
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4440) all_57_5 = e3 & op(e2, e1) = e3
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4440) implies:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4441) all_57_5 = e3
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4442) op(e2, e1) = e3
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4443) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 =
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4443) gives:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4444) all_57_12 = e3 & op(e0, e3) = e3
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4444) implies:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4445) all_57_12 = e3
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (234), (3970), (3983), (4445),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2223.
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4446) all_57_13 = e3 & op(e0, e2) = e3
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4446) implies:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4447) all_57_13 = e3
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4448) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4448) gives:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4449) all_57_12 = e2 & op(e0, e3) = e2
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4449) implies:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4450) all_57_12 = e2
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4451) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (3971), (4431), (4451),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2208.
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4452) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4452) gives:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4453) all_57_7 = e2 & op(e1, e2) = e2
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4453) implies:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4454) all_57_7 = e2
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4455) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (171), (3960), (3983), (4455),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1543.
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4456) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4456) gives:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4457) all_57_4 = e0 & op(e3, e1) = e0
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4457) implies:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4458) all_57_4 = e0
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (219), (220), (4436),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4441), (4458), (function-axioms) are inconsistent
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2378.
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4459) all_57_9 = e0 & op(e3, e0) = e0
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4459) implies:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4460) all_57_9 = e0
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4461) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3970), (3983), (4441), (4461), (function-axioms)
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1784.
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4462) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4462) gives:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4463) all_57_6 = e0 & op(e1, e3) = e0
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4463) implies:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4464) all_57_6 = e0
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4465) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4465) gives:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4466) all_57_0 = e1 & op(e3, e3) = e1
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4466) implies:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4467) op(e3, e3) = e1
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3983), (4467), (function-axioms) are
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4468) all_57_2 = e1 & op(e2, e3) = e1
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4468) implies:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4469) all_57_2 = e1
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4470) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4470) gives:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4471) all_57_6 = e1 & op(e1, e3) = e1
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4471) implies:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4472) all_57_6 = e1
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4464), (4472) imply:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4473) e1 = e0
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4469), (4473) imply:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4474) all_57_2 = e0
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (223), (224), (3970),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4441), (4474) are inconsistent by sub-proof
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2253.
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4475) all_57_7 = e1 & op(e1, e2) = e1
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4454), (4475) are inconsistent by sub-proof
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2190.
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4476) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (212), (213), (4086),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4172), (4460), (4476), (function-axioms) are
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2043.
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4477) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4477) gives:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4478) all_57_6 = e1 & op(e1, e3) = e1
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4464), (4478) are inconsistent by sub-proof
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2044.
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4479) all_57_12 = e1 & op(e0, e3) = e1
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4479) implies:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4480) all_57_12 = e1
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4450), (4480) are inconsistent by sub-proof
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2321.
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4481) all_57_12 = e0 & op(e0, e3) = e0
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4481) implies:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4482) all_57_12 = e0
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4450), (4482) imply:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4483) e2 = e0
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4426), (4483) imply:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4484) all_57_4 = e0
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (233), (235), (3983),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4460), (4484), (function-axioms) are inconsistent
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2436.
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4485) all_57_13 = e2 & op(e0, e2) = e2
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (45),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (67), (88), (94), (107), (111), (113), (114),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (119), (121), (122), (124), (126), (129),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (140), (141), (159),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (161), (163), (165), (166), (169), (170),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (171), (190), (191), (192), (194), (195), (196),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (198), (199), (202), (203), (204), (205), (207),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (221),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (227), (228), (229), (230),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (248), (249), (256), (258),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (259), (268), (269), (270), (277), (315), (332),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (336), (348), (362), (363), (364), (369), (370),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (371), (372), (373), (374), (376), (378), (3960),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3961), (3962), (3963), (3970), (3971), (3973),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3975), (3980), (3981), (3982), (3983), (3986),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4083), (4095), (4172), (4441), (4447), (4485),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1299.
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4486) all_57_13 = e2 & op(e0, e2) = e2
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (45),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (67), (88), (94), (107), (111), (113), (114),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (119), (121), (122), (124), (126), (129),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (140), (141), (159),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (161), (163), (165), (166), (169), (170),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (171), (190), (191), (192), (194), (195), (196),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (198), (199), (202), (203), (204), (205), (207),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (221),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (227), (228), (229), (230),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (248), (249), (256), (258),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (259), (268), (269), (270), (277), (315), (332),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (336), (348), (362), (363), (364), (369), (370),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (371), (372), (373), (374), (376), (378), (3960),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3961), (3962), (3963), (3970), (3971), (3973),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3975), (3980), (3981), (3982), (3983), (3986),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4083), (4095), (4172), (4441), (4447), (4486),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1299.
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4487) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4487) gives:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4488) all_57_14 = e2 & op(e0, e1) = e2
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4488) implies:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4489) all_57_14 = e2
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (67),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (88), (94), (107), (111), (113), (119), (121),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (122), (124), (127), (129), (134), (135), (136),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (142), (144), (158), (159), (161), (163),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (166), (169), (170), (171), (191),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (192), (194), (195), (196), (199), (202), (203),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (207), (208), (209), (210), (211),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (216), (217), (218),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (223), (224), (225), (226),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (245), (246), (248),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (249), (256), (259), (268), (269), (270), (277),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (315), (332), (336), (348), (361), (363), (364),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (366), (368), (374), (376), (3960), (3962),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3963), (3964), (3970), (3971), (3973), (3975),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3980), (3981), (3982), (3983), (3986), (3988),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4083), (4086), (4095), (4172), (4447), (4489),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1298.
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4490) all_57_15 = e2 & op(e0, e0) = e2
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4490) implies:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4491) op(e0, e0) = e2
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4086), (4491), (function-axioms) are
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2177.
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4492) (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 =
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4492) gives:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4493) all_57_14 = e3 & op(e0, e1) = e3
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4493) implies:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4494) all_57_14 = e3
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4436), (4494) imply:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4495) e3 = e0
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4495) implies:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4496) e3 = e0
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4441), (4496) imply:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4497) all_57_5 = e0
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (223), (224),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (3970), (3971), (4083), (4497),
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1689.
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4498) all_57_15 = e3 & op(e0, e0) = e3
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4498) implies:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4499) all_57_15 = e3
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4500) op(e0, e0) = e3
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (67), (88),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (94), (107), (121), (124), (134), (135), (137),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (166), (169), (170), (171), (195), (202),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (204), (207), (208), (209), (211), (212),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (227), (228), (230), (231), (232),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (237), (249), (268), (269),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (270), (315), (332), (336), (363), (364), (374),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3960), (3963), (3970), (3982), (3983), (4441),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4442), (4499), (4500), (function-axioms) are
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1438.
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4501) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (39), (374), (4436), (4501),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2419.
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | (4502) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4502) gives:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (4503) all_57_4 = e1 & op(e3, e1) = e1
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4426), (4503) are inconsistent by sub-proof
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | #2452.
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (4504) all_57_9 = e1 & op(e3, e0) = e1
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4504) implies:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (4505) all_57_9 = e1
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (67),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (88), (94), (107), (111), (113), (119), (121),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (122), (124), (127), (129), (134), (135), (136),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (137), (142), (144), (158), (159), (161), (163),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (166), (169), (170), (171), (191),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (192), (194), (195), (196), (199), (202), (203),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (207), (208), (209), (210), (211),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (216), (217), (218),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (223), (224), (225), (227),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (237), (245), (246), (248), (249),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (256), (259), (268), (269), (270), (277), (315),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (332), (336), (348), (361), (363), (364), (366),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (368), (374), (376), (3960), (3962), (3963),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (3964), (3970), (3971), (3973), (3975), (3980),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (3981), (3982), (3983), (3986), (4086), (4505),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | #1384.
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | (4506) all_57_5 = e2 & op(e2, e1) = e2
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4506) implies:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | (4507) all_57_5 = e2
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (45),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | (67), (88), (94), (107), (111), (113), (114),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | (118), (119), (121), (122), (124), (126), (129),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (136), (137), (140), (141), (159),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | (160), (161), (163), (165), (166), (169), (170),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | (171), (190), (191), (192), (194), (195), (196),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | (198), (199), (202), (203), (204), (205), (207),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (213), (214),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (221),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (227), (228), (229), (230),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (248), (249), (256), (258),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | (259), (268), (269), (270), (277), (315), (332),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | (336), (348), (362), (363), (364), (369), (370),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | (371), (372), (373), (374), (376), (378), (3960),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | (3961), (3962), (3963), (3970), (3971), (3973),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | (3975), (3980), (3981), (3982), (3983), (3986),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | (4083), (4095), (4172), (4507), (function-axioms)
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1300.
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | (4508) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_14 =
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4508) gives:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | (4509) all_57_8 = e2 & op(e1, e1) = e2
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | all_52_21, e1, e1, simplifying with (4172), (4422)
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | (4510) all_52_21 = e2
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4423), (4510) imply:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | (4511) op(e2, e2) = e1
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3971), (4511), (function-axioms) are
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | (4512) all_57_14 = e2 & op(e0, e1) = e2
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4512) implies:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | (4513) all_57_14 = e2
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | (4514) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 =
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4514) gives:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (4515) all_57_12 = e3 & op(e0, e3) = e3
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4515) implies:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (4516) all_57_12 = e3
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (234), (3970), (3983), (4516),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | #2223.
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (4517) all_57_13 = e3 & op(e0, e2) = e3
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4517) implies:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (4518) all_57_13 = e3
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (67),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (88), (94), (107), (111), (113), (119), (121),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (122), (124), (127), (129), (134), (135), (136),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (137), (142), (144), (158), (159), (161), (163),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (166), (169), (170), (171), (191),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (192), (194), (195), (196), (199), (202), (203),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (207), (208), (209), (210), (211),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (216), (217), (218),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (223), (224), (225), (226),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (245), (246), (248),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (249), (256), (259), (268), (269), (270), (277),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (315), (332), (336), (348), (361), (363), (364),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (366), (368), (374), (376), (3960), (3962),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (3963), (3964), (3970), (3971), (3973), (3975),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (3980), (3981), (3982), (3983), (3986), (3988),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (4083), (4086), (4095), (4172), (4513), (4518),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | | #1298.
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | (4519) (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 =
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (39), (45), (67), (88), (94),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | (107), (121), (124), (134), (135), (137), (163),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | (166), (169), (170), (171), (195), (202), (203),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | (204), (205), (207), (208), (209), (211), (212),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (225), (227), (228), (229),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | (237), (249), (268), (269), (270), (277), (315),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | (332), (336), (348), (363), (364), (374), (376),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | (3960), (3963), (3970), (3973), (3975), (4513),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | (4519), (function-axioms) are inconsistent by
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1413.
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | (4520) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4520) implies:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | (4521) op(e0, e0) = all_52_31
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | (4522) op(all_52_31, all_52_31) = e0
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (3988), (4086), (4521), (4522),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | | #2086.
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.40 | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.40 | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | End of split
% 221.08/37.40 | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | End of split
% 221.08/37.40 | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | End of split
% 221.08/37.40 | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | Case 2:
% 221.08/37.40 | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | (4523) all_24_2 = e0
% 221.08/37.40 | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | COMBINE_EQS: (315), (4523) imply:
% 221.08/37.40 | | | | | | | | | | | | | | | (4524) all_6_2 = e0
% 221.08/37.40 | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | REDUCE: (350), (4524) imply:
% 221.08/37.40 | | | | | | | | | | | | | | | (4525) ~ (all_53_2 = e0)
% 221.08/37.40 | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | REDUCE: (363), (4524) imply:
% 221.08/37.40 | | | | | | | | | | | | | | | (4526) ~ (all_53_8 = e0)
% 221.08/37.40 | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | REDUCE: (39), (4524) imply:
% 221.08/37.40 | | | | | | | | | | | | | | | (4527) op(e1, e1) = e0
% 221.08/37.40 | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 221.08/37.40 | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | Case 1:
% 221.08/37.40 | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | (4528) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 221.08/37.40 | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 221.08/37.40 | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | BETA: splitting (4528) gives:
% 221.08/37.40 | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.40 | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | (4529) all_57_6 = e0 & op(e1, e3) = e0
% 221.08/37.40 | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | ALPHA: (4529) implies:
% 221.08/37.40 | | | | | | | | | | | | | | | | | (4530) op(e1, e3) = e0
% 221.08/37.40 | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4525), (4530), (function-axioms) are
% 221.08/37.40 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2154.
% 221.08/37.40 | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.40 | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | (4531) all_57_7 = e0 & op(e1, e2) = e0
% 221.08/37.40 | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | ALPHA: (4531) implies:
% 221.08/37.40 | | | | | | | | | | | | | | | | | (4532) all_57_7 = e0
% 221.08/37.40 | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 221.08/37.40 | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.40 | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | (4533) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 221.08/37.40 | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 221.08/37.40 | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 221.08/37.40 | | | | | | | | | | | | | | | | | | (3970), (3983), (4533), (function-axioms) are
% 221.08/37.40 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2229.
% 221.08/37.40 | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.40 | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | (4534) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 221.08/37.40 | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 221.08/37.40 | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | BETA: splitting (4534) gives:
% 221.08/37.40 | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | (4535) all_57_6 = e0 & op(e1, e3) = e0
% 221.08/37.40 | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | ALPHA: (4535) implies:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | (4536) op(e1, e3) = e0
% 221.08/37.40 | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4525), (4536), (function-axioms) are
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2154.
% 221.08/37.40 | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | (4537) all_57_12 = e0 & op(e0, e3) = e0
% 221.08/37.40 | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | ALPHA: (4537) implies:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | (4538) all_57_12 = e0
% 221.08/37.40 | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | (4539) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4539) gives:
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.40 | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | (4540) all_57_6 = e3 & op(e1, e3) = e3
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4540) implies:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | (4541) all_57_6 = e3
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (232), (234), (3986),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | (4538), (4541) are inconsistent by sub-proof
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | #2011.
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | (4542) all_57_7 = e3 & op(e1, e2) = e3
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4542) implies:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | (4543) all_57_7 = e3
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4532), (4543) are inconsistent by sub-proof
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | #2269.
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | (4544) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4544) gives:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | (4545) all_57_8 = e3 & op(e1, e1) = e3
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4545) implies:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | (4546) op(e1, e1) = e3
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (4546), (function-axioms) are
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | (4547) all_57_11 = e3 & op(e1, e0) = e3
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4547) implies:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | (4548) all_57_11 = e3
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | (4549) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (171), (3960), (3983), (4549),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | #1543.
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | (4550) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4550) gives:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | (4551) all_57_4 = e0 & op(e3, e1) = e0
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4551) implies:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | (4552) op(e3, e1) = e0
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (4526), (4552), (function-axioms) are
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | (4553) all_57_9 = e0 & op(e3, e0) = e0
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4553) implies:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | (4554) all_57_9 = e0
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | (4555) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4555) gives:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (4556) all_57_1 = e3 & op(e3, e2) = e3
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4556) implies:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (4557) all_57_1 = e3
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (4558) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4558) gives:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4559) all_57_0 = e2 & op(e3, e3) = e2
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4559) implies:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4560) op(e3, e3) = e2
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (227), (228), (229),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (237), (3970), (3971), (4532),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4560), (function-axioms) are inconsistent by
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1296.
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4561) all_57_1 = e2 & op(e3, e2) = e2
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4561) implies:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4562) all_57_1 = e2
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4557), (4562) imply:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4563) e3 = e2
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4548), (4563) imply:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4564) all_57_11 = e2
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (39), (215), (217),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (4527), (4532), (4564), (function-axioms)
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1314.
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (4565) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4565) gives:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4566) all_57_4 = e2 & op(e3, e1) = e2
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4566) implies:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4567) all_57_4 = e2
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4568) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4568) gives:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4569) all_57_0 = e1 & op(e3, e3) = e1
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4569) implies:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4570) op(e3, e3) = e1
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3983), (4570), (function-axioms) are
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4571) all_57_1 = e1 & op(e3, e2) = e1
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4571) implies:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4572) all_57_1 = e1
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (227), (228), (229),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3970), (3971), (4532), (4572), (function-axioms)
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1378.
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4573) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4573) gives:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4574) all_57_4 = e1 & op(e3, e1) = e1
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4567), (4574) are inconsistent by sub-proof
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2452.
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4575) all_57_9 = e1 & op(e3, e0) = e1
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4554), (4575) are inconsistent by sub-proof
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2437.
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4576) all_57_9 = e2 & op(e3, e0) = e2
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4554), (4576) are inconsistent by sub-proof
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2486.
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (4577) all_57_3 = e3 & op(e2, e2) = e3
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4577) implies:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (4578) all_57_3 = e3
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3970), (4578) imply:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (4579) e3 = e0
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4579) implies:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (4580) e3 = e0
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4548), (4580) imply:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (4581) all_57_11 = e0
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (67),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (88), (94), (107), (121), (124), (134), (135),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (137), (163), (166), (169), (170), (171), (195),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (202), (203), (204), (205), (207), (208), (209),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (212), (213), (214), (215), (216),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (220), (221), (223), (224),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (225), (227), (228), (229), (230), (231), (232),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (249), (268),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (269), (270), (277), (315), (332), (336), (348),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (363), (364), (374), (376), (3960), (3963),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (3970), (3971), (3973), (3975), (3982), (3983),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (3986), (4526), (4527), (4538), (4581),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | #1295.
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | (4582) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4582) gives:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (4583) all_57_7 = e3 & op(e1, e2) = e3
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4583) implies:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (4584) all_57_7 = e3
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4532), (4584) imply:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (4585) e3 = e0
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4585) implies:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (4586) e3 = e0
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4548), (4586) imply:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (4587) all_57_11 = e0
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (67),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (88), (94), (107), (121), (124), (134), (135),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (137), (163), (166), (169), (170), (171), (195),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (202), (203), (204), (205), (207), (208), (209),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (212), (213), (214), (215), (216),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (219), (220), (221), (223), (224),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (225), (227), (228), (229), (230), (231), (232),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (249), (268),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (269), (270), (277), (315), (332), (336), (348),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (363), (364), (374), (376), (3960), (3963),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (3970), (3971), (3973), (3975), (3982), (3983),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (4526), (4527), (4538), (4584), (4587),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | #1311.
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (4588) all_57_13 = e3 & op(e0, e2) = e3
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4588) implies:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (4589) all_57_13 = e3
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (227), (228), (229),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | (3970), (3971), (4532), (4589), (function-axioms)
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2199.
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.41 | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.41 | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | End of split
% 221.08/37.41 | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | End of split
% 221.08/37.41 | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | Case 2:
% 221.08/37.41 | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | (4590) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 221.08/37.41 | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 221.08/37.41 | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | BETA: splitting (4590) gives:
% 221.08/37.41 | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.41 | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | (4591) all_57_8 = e0 & op(e1, e1) = e0
% 221.08/37.41 | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | ALPHA: (4591) implies:
% 221.08/37.41 | | | | | | | | | | | | | | | | | (4592) all_57_8 = e0
% 221.08/37.41 | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 221.08/37.41 | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.41 | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | (4593) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 221.08/37.41 | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 221.08/37.41 | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | (3970), (3983), (4593), (function-axioms) are
% 221.08/37.41 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2229.
% 221.08/37.41 | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.41 | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | (4594) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 221.08/37.41 | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 221.08/37.41 | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | BETA: splitting (4594) gives:
% 221.08/37.41 | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | (4595) all_57_6 = e0 & op(e1, e3) = e0
% 221.08/37.41 | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | ALPHA: (4595) implies:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | (4596) op(e1, e3) = e0
% 221.08/37.41 | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4525), (4596), (function-axioms) are
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2154.
% 221.08/37.41 | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | (4597) all_57_12 = e0 & op(e0, e3) = e0
% 221.08/37.41 | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | ALPHA: (4597) implies:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | (4598) all_57_12 = e0
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | (4599) op(e0, e3) = e0
% 221.08/37.41 | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | (4600) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (171), (3960), (3983), (4600),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | #1543.
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | (4601) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4601) gives:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | (4602) all_57_4 = e0 & op(e3, e1) = e0
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4602) implies:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | (4603) op(e3, e1) = e0
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (4526), (4603), (function-axioms) are
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | (4604) all_57_9 = e0 & op(e3, e0) = e0
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4604) implies:
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | (4605) all_57_9 = e0
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | (4606) op(e3, e0) = e0
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (36), (39), (45), (67), (88), (94),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | (107), (111), (113), (114), (118), (119), (121),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | (122), (124), (126), (129), (134), (135), (136),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | (137), (140), (141), (160), (161), (163), (165),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | (166), (169), (170), (171), (190), (191), (192),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | (194), (195), (196), (198), (199), (202), (203),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | (204), (205), (207), (208), (209), (210), (211),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (215), (216), (217), (218),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (223), (224), (225), (227),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | (235), (236), (237), (244), (245), (246), (248),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | (249), (256), (258), (259), (268), (269), (270),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | (277), (315), (332), (336), (348), (362), (363),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | (364), (369), (370), (371), (372), (373), (374),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | (376), (378), (3961), (3963), (3970), (3971),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | (3973), (3975), (3980), (3981), (3982), (3983),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | (3986), (4527), (4592), (4598), (4599), (4605),
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | (4606), (function-axioms) are inconsistent by
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | | sub-proof #1301.
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.41 | | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.41 | | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | End of split
% 221.08/37.41 | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.41 | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | (4607) all_57_11 = e0 & op(e1, e0) = e0
% 221.08/37.41 | | | | | | | | | | | | | | | | |
% 221.08/37.41 | | | | | | | | | | | | | | | | | ALPHA: (4607) implies:
% 221.08/37.41 | | | | | | | | | | | | | | | | | (4608) all_57_11 = e0
% 221.08/37.41 | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (67),
% 221.08/37.42 | | | | | | | | | | | | | | | | | (88), (94), (107), (121), (124), (134), (135),
% 221.08/37.42 | | | | | | | | | | | | | | | | | (137), (163), (164), (166), (169), (170), (171),
% 221.08/37.42 | | | | | | | | | | | | | | | | | (195), (202), (203), (204), (205), (207), (208),
% 221.08/37.42 | | | | | | | | | | | | | | | | | (209), (210), (211), (212), (213), (214), (215),
% 221.08/37.42 | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (223),
% 221.08/37.42 | | | | | | | | | | | | | | | | | (224), (225), (227), (228), (229), (230), (231),
% 221.08/37.42 | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (249),
% 221.08/37.42 | | | | | | | | | | | | | | | | | (268), (269), (270), (277), (315), (332), (336),
% 221.08/37.42 | | | | | | | | | | | | | | | | | (348), (363), (364), (374), (376), (3960), (3963),
% 221.08/37.42 | | | | | | | | | | | | | | | | | (3970), (3971), (3973), (3975), (3982), (3983),
% 221.08/37.42 | | | | | | | | | | | | | | | | | (3986), (4525), (4526), (4527), (4608),
% 221.08/37.42 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.42 | | | | | | | | | | | | | | | | | #1294.
% 221.08/37.42 | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | End of split
% 221.08/37.42 | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | End of split
% 221.08/37.42 | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | End of split
% 221.08/37.42 | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | Case 2:
% 221.08/37.42 | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | (4609) all_57_1 = e3 & op(e3, e2) = e3
% 221.08/37.42 | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | REF_CLOSE: (171), (3980), (4609), (function-axioms) are
% 221.08/37.42 | | | | | | | | | | | | | | inconsistent by sub-proof #2286.
% 221.08/37.42 | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | End of split
% 221.08/37.42 | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | Case 2:
% 221.08/37.42 | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | (4610) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_9 = e3
% 221.08/37.42 | | | | | | | | | | | | | & op(e3, e0) = e3)
% 221.08/37.42 | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (231), (233),
% 221.08/37.42 | | | | | | | | | | | | | (235), (3982), (3983), (4610), (function-axioms)
% 221.08/37.42 | | | | | | | | | | | | | are inconsistent by sub-proof #1955.
% 221.08/37.42 | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | End of split
% 221.08/37.42 | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | Case 2:
% 221.08/37.42 | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | (4611) all_55_0 = e2 | all_55_0 = e1 | all_55_0 = e0
% 221.08/37.42 | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | REF_CLOSE: (277), (376), (3973), (3975), (4611) are
% 221.08/37.42 | | | | | | | | | | | | inconsistent by sub-proof #1953.
% 221.08/37.42 | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | End of split
% 221.08/37.42 | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | Case 2:
% 221.08/37.42 | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | (4612) all_20_2 = e2
% 221.08/37.42 | | | | | | | | | | | (4613) ( ~ (all_20_0 = e1) & op(all_20_1, e3) = all_20_0
% 221.08/37.42 | | | | | | | | | | | & op(e3, e2) = all_20_1 & $i(all_20_0) &
% 221.08/37.42 | | | | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e0) & op(e3, e2)
% 221.08/37.42 | | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 221.08/37.42 | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | COMBINE_EQS: (299), (4612) imply:
% 221.08/37.42 | | | | | | | | | | | (4614) all_10_2 = e2
% 221.08/37.42 | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | COMBINE_EQS: (329), (4614) imply:
% 221.08/37.42 | | | | | | | | | | | (4615) all_28_2 = e2
% 221.08/37.42 | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | REDUCE: (338), (4614) imply:
% 221.08/37.42 | | | | | | | | | | | (4616) ~ (all_53_1 = e2)
% 221.08/37.42 | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | REDUCE: (340), (4614) imply:
% 221.08/37.42 | | | | | | | | | | | (4617) ~ (all_53_2 = e2)
% 221.08/37.42 | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | REDUCE: (342), (4614) imply:
% 221.08/37.42 | | | | | | | | | | | (4618) ~ (all_53_3 = e2)
% 221.08/37.42 | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | REDUCE: (344), (4614) imply:
% 221.08/37.42 | | | | | | | | | | | (4619) ~ (all_53_4 = e2)
% 221.08/37.42 | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | REDUCE: (346), (4614) imply:
% 221.08/37.42 | | | | | | | | | | | (4620) ~ (all_53_8 = e2)
% 221.08/37.42 | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | REDUCE: (348), (4614) imply:
% 221.08/37.42 | | | | | | | | | | | (4621) ~ (all_53_12 = e2)
% 221.08/37.42 | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | REDUCE: (45), (4614) imply:
% 221.08/37.42 | | | | | | | | | | | (4622) op(e3, e3) = e2
% 221.08/37.42 | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | BETA: splitting (235) gives:
% 221.08/37.42 | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | Case 1:
% 221.08/37.42 | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | (4623) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 221.08/37.42 | | | | | | | | | | | | & op(e3, e2) = e2)
% 221.08/37.42 | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | BETA: splitting (4623) gives:
% 221.08/37.42 | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | Case 1:
% 221.08/37.42 | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | (4624) all_57_0 = e2 & op(e3, e3) = e2
% 221.08/37.42 | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | ALPHA: (4624) implies:
% 221.08/37.42 | | | | | | | | | | | | | (4625) all_57_0 = e2
% 221.08/37.42 | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | BETA: splitting (67) gives:
% 221.08/37.42 | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | Case 1:
% 221.08/37.42 | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | (4626) ~ (all_24_2 = e0)
% 221.08/37.42 | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | REDUCE: (315), (4626) imply:
% 221.08/37.42 | | | | | | | | | | | | | | (4627) ~ (all_6_2 = e0)
% 221.08/37.42 | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 221.08/37.42 | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | Case 1:
% 221.08/37.42 | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | (4628) ~ (all_28_2 = e2)
% 221.08/37.42 | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | REDUCE: (4615), (4628) imply:
% 221.08/37.42 | | | | | | | | | | | | | | | (4629) $false
% 221.08/37.42 | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | CLOSE: (4629) is inconsistent.
% 221.08/37.42 | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | Case 2:
% 221.08/37.42 | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | (4630) ( ~ (all_28_0 = e0) & op(all_28_1, e3) = all_28_0
% 221.08/37.42 | | | | | | | | | | | | | | | & op(e3, e2) = all_28_1 & $i(all_28_0) &
% 221.08/37.42 | | | | | | | | | | | | | | | $i(all_28_1)) | ( ~ (all_28_1 = e1) & op(e3, e2)
% 221.08/37.42 | | | | | | | | | | | | | | | = all_28_1 & $i(all_28_1))
% 221.08/37.42 | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 221.08/37.42 | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | Case 1:
% 221.08/37.42 | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | (4631) ~ (all_30_2 = e1)
% 221.08/37.42 | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | REDUCE: (330), (4631) imply:
% 221.08/37.42 | | | | | | | | | | | | | | | | (4632) ~ (all_4_2 = e1)
% 221.08/37.42 | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 221.08/37.42 | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.42 | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | (4633) all_55_15 = e3
% 221.08/37.42 | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (4633) imply:
% 221.08/37.42 | | | | | | | | | | | | | | | | | (4634) all_4_2 = e3
% 221.08/37.42 | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | REDUCE: (378), (4634) imply:
% 221.08/37.42 | | | | | | | | | | | | | | | | | (4635) $false
% 221.08/37.42 | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | CLOSE: (4635) is inconsistent.
% 221.08/37.42 | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.42 | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | (4636) ~ (all_55_15 = e3)
% 221.08/37.42 | | | | | | | | | | | | | | | | | (4637) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 221.08/37.42 | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | BETA: splitting (4637) gives:
% 221.08/37.42 | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.42 | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | (4638) all_55_15 = e2
% 221.08/37.42 | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (4638) imply:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | (4639) all_4_2 = e2
% 221.08/37.42 | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | REDUCE: (373), (4639) imply:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | (4640) $false
% 221.08/37.42 | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | CLOSE: (4640) is inconsistent.
% 221.08/37.42 | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.42 | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | (4641) ~ (all_55_15 = e2)
% 221.08/37.42 | | | | | | | | | | | | | | | | | | (4642) all_55_15 = e1 | all_55_15 = e0
% 221.08/37.42 | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | BETA: splitting (4642) gives:
% 221.08/37.42 | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | (4643) all_55_15 = e1
% 221.08/37.42 | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (4643) imply:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | (4644) all_4_2 = e1
% 221.08/37.42 | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | REDUCE: (4632), (4644) imply:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | (4645) $false
% 221.08/37.42 | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | CLOSE: (4645) is inconsistent.
% 221.08/37.42 | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | (4646) all_55_15 = e0
% 221.08/37.42 | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (4646) imply:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | (4647) all_4_2 = e0
% 221.08/37.42 | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | REDUCE: (351), (4647) imply:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | (4648) ~ (all_53_3 = e0)
% 221.08/37.42 | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | REDUCE: (370), (4647) imply:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | (4649) ~ (all_53_12 = e0)
% 221.08/37.42 | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | REDUCE: (373), (4647) imply:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | (4650) ~ (e2 = e0)
% 221.08/37.42 | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | REDUCE: (4632), (4647) imply:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | (4651) ~ (e1 = e0)
% 221.08/37.42 | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | (4652) all_57_15 = e0 & op(e0, e0) = e0
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | ALPHA: (4652) implies:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | (4653) all_57_15 = e0
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | (4654) op(e0, e0) = e0
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | (4655) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (171), (3960), (4622), (4655),
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | #1321.
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | (4656) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4656) gives:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | | (4657) all_57_4 = e0 & op(e3, e1) = e0
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4657) implies:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | | (4658) all_57_4 = e0
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | | (4659) op(e3, e1) = e0
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (88), (107),
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | | (113), (121), (127), (129), (134), (135), (136),
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | | (137), (142), (144), (159), (160), (164), (169),
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | | (170), (192), (194), (195), (196), (202), (204),
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (211), (212), (214),
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (219), (220), (221), (222),
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (227), (228), (229), (230),
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (236), (237), (246), (248),
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | | (249), (256), (268), (270), (336), (361), (363),
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | | (368), (374), (3962), (3970), (3971), (4618),
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | | (4619), (4620), (4621), (4622), (4648), (4653),
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | | (4654), (4658), (4659), (function-axioms) are
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1611.
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | | (4660) all_57_9 = e0 & op(e3, e0) = e0
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (4649), (4660), (function-axioms) are
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2434.
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | (4661) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | ALPHA: (4661) implies:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | (4662) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4662) gives:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | (4663) all_57_12 = e0 & op(e0, e3) = e0
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4663) implies:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | (4664) op(e0, e3) = e0
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (4648), (4664), (function-axioms) are
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2366.
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | (4665) (all_57_13 = e0 & op(e0, e2) = e0) | (all_57_14 =
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4665) gives:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | | (4666) all_57_13 = e0 & op(e0, e2) = e0
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4666) implies:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | | (4667) op(e0, e2) = e0
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (3962), (4667), (function-axioms) are
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2332.
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | | (4668) all_57_14 = e0 & op(e0, e1) = e0
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4668) implies:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | | (4669) all_57_14 = e0
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (171),
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (231), (374), (3960), (4622),
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | | (4649), (4669), (function-axioms) are inconsistent
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1293.
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.42 | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.42 | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | End of split
% 221.08/37.42 | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | End of split
% 221.08/37.42 | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | Case 2:
% 221.08/37.42 | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | (4670) all_30_2 = e1
% 221.08/37.42 | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (4670) imply:
% 221.08/37.42 | | | | | | | | | | | | | | | | (4671) all_4_2 = e1
% 221.08/37.42 | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | SIMP: (4671) implies:
% 221.08/37.42 | | | | | | | | | | | | | | | | (4672) all_4_2 = e1
% 221.08/37.42 | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | REDUCE: (371), (4672) imply:
% 221.08/37.42 | | | | | | | | | | | | | | | | (4673) ~ (all_53_13 = e1)
% 221.08/37.42 | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | REDUCE: (378), (4672) imply:
% 221.08/37.42 | | | | | | | | | | | | | | | | (4674) ~ (e3 = e1)
% 221.08/37.42 | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | REDUCE: (373), (4672) imply:
% 221.08/37.42 | | | | | | | | | | | | | | | | (4675) ~ (e2 = e1)
% 221.08/37.42 | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | REDUCE: (36), (4672) imply:
% 221.08/37.42 | | | | | | | | | | | | | | | | (4676) op(e0, e0) = e1
% 221.08/37.42 | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 221.08/37.42 | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.42 | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | (4677) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 221.08/37.42 | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 221.08/37.42 | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 221.08/37.42 | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 221.08/37.42 | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 221.08/37.42 | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 221.08/37.42 | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 221.08/37.42 | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 221.08/37.42 | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 221.08/37.42 | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 221.08/37.42 | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 221.08/37.42 | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 221.08/37.42 | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 221.08/37.42 | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 221.08/37.42 | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 221.08/37.42 | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | BETA: splitting (4677) gives:
% 221.08/37.42 | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.42 | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | (4678) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 221.08/37.42 | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 221.08/37.42 | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 221.08/37.42 | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 221.08/37.42 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 221.08/37.42 | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 221.08/37.42 | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 221.08/37.42 | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 221.08/37.42 | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | ALPHA: (4678) implies:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | (4679) op(e3, e3) = all_52_1
% 221.08/37.42 | | | | | | | | | | | | | | | | | | (4680) op(all_52_1, all_52_1) = e3
% 221.08/37.42 | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3971), (4622), (4679), (4680),
% 221.08/37.42 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.42 | | | | | | | | | | | | | | | | | | #1653.
% 221.08/37.42 | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.42 | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | (4681) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 221.08/37.42 | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 221.08/37.42 | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 221.08/37.42 | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 221.08/37.42 | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 221.08/37.42 | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 221.08/37.42 | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 221.08/37.42 | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 221.08/37.42 | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | ALPHA: (4681) implies:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | (4682) op(e2, e2) = all_52_11
% 221.08/37.42 | | | | | | | | | | | | | | | | | | (4683) op(all_52_11, all_52_11) = e2
% 221.08/37.42 | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 221.08/37.42 | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | (4684) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 =
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 221.08/37.42 | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | BETA: splitting (4684) gives:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | (4685) all_57_9 = e1 & op(e3, e0) = e1
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | ALPHA: (4685) implies:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | (4686) all_57_9 = e1
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (165),
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | (169), (171), (207), (208), (209), (210), (211),
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (216), (217), (219), (220),
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (225), (227), (228), (229),
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (236), (237),
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | (374), (3960), (3964), (3970), (3971), (4618),
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | (4621), (4622), (4625), (4673), (4676), (4686),
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | #1266.
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | (4687) all_57_10 = e1 & op(e2, e0) = e1
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (4673), (4687), (function-axioms) are
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2084.
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.42 | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | (4688) (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 =
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 221.08/37.42 | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | BETA: splitting (4688) gives:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | (4689) all_57_11 = e1 & op(e1, e0) = e1
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | ALPHA: (4689) implies:
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | (4690) all_57_11 = e1
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (165),
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | (169), (171), (207), (208), (209), (210), (211),
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (216), (217), (219), (220),
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (227), (228),
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (236),
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | (237), (374), (3960), (3964), (3970), (3971),
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | (4618), (4621), (4622), (4625), (4673), (4676),
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | (4690), (function-axioms) are inconsistent by
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | | sub-proof #1250.
% 221.08/37.42 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | (4691) all_57_15 = e1 & op(e0, e0) = e1
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3971), (4682), (4683), (4691),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | #2066.
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.43 | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.43 | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | End of split
% 221.08/37.43 | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.43 | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | (4692) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 221.08/37.43 | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 221.08/37.43 | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 221.08/37.43 | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 221.08/37.43 | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 221.08/37.43 | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 221.08/37.43 | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 221.08/37.43 | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 221.08/37.43 | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 221.08/37.43 | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 221.08/37.43 | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 221.08/37.43 | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 221.08/37.43 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 221.08/37.43 | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 221.08/37.43 | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 221.08/37.43 | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 221.08/37.43 | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | BETA: splitting (4692) gives:
% 221.08/37.43 | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.43 | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | (4693) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 221.08/37.43 | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 221.08/37.43 | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 221.08/37.43 | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 221.08/37.43 | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 221.08/37.43 | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 221.08/37.43 | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 221.08/37.43 | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 221.08/37.43 | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | ALPHA: (4693) implies:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | (4694) op(e1, e1) = all_52_21
% 221.08/37.43 | | | | | | | | | | | | | | | | | | (4695) op(e1, e3) = all_52_17
% 221.08/37.43 | | | | | | | | | | | | | | | | | | (4696) op(all_52_21, all_52_21) = e1
% 221.08/37.43 | | | | | | | | | | | | | | | | | | (4697) op(all_52_17, all_52_17) = e3
% 221.08/37.43 | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 221.08/37.43 | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | (4698) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 =
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 221.08/37.43 | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | BETA: splitting (4698) gives:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | (4699) all_57_9 = e1 & op(e3, e0) = e1
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | ALPHA: (4699) implies:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | (4700) all_57_9 = e1
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (165),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | (169), (171), (207), (208), (209), (210), (211),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (216), (217), (219), (220),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (225), (227), (228), (229),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (236), (237),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | (374), (3960), (3964), (3970), (3971), (4618),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | (4621), (4622), (4625), (4673), (4676), (4700),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | #1266.
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | (4701) all_57_10 = e1 & op(e2, e0) = e1
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (4673), (4701), (function-axioms) are
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2084.
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.43 | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | (4702) (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 =
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 221.08/37.43 | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | BETA: splitting (4702) gives:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | (4703) all_57_11 = e1 & op(e1, e0) = e1
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | ALPHA: (4703) implies:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | (4704) all_57_11 = e1
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (165),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | (169), (171), (207), (208), (209), (210), (211),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (216), (217), (219), (220),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (227), (228),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (236),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | (237), (374), (3960), (3964), (3970), (3971),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | (4618), (4621), (4622), (4625), (4673), (4676),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | (4704), (function-axioms) are inconsistent by
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | sub-proof #1250.
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | (4705) all_57_15 = e1 & op(e0, e0) = e1
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | ALPHA: (4705) implies:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | (4706) all_57_15 = e1
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | all_52_21, e1, e1, simplifying with (39), (4694)
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | gives:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | (4707) all_52_21 = all_6_2
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_2,
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | all_52_17, e3, e1, simplifying with (164), (4695)
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | gives:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | (4708) all_53_2 = all_52_17
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (4708) imply:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | (4709) all_55_8 = all_52_17
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (4708) imply:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | (4710) ~ (all_53_1 = all_52_17)
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | REDUCE: (4617), (4708) imply:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | (4711) ~ (all_52_17 = e2)
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | REDUCE: (4696), (4707) imply:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | (4712) op(all_6_2, all_6_2) = e1
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | (4713) ~ (all_38_2 = e2)
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | REDUCE: (249), (4713) imply:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | (4714) ~ (all_6_2 = e2)
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | (4715) all_55_10 = e3
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (374), (4715) are inconsistent by sub-proof
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | #2500.
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | (4716) ~ (all_55_10 = e3)
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | (4717) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4717) gives:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | (4718) all_55_10 = e2
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (4714), (4718) are inconsistent by
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2499.
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | (4719) ~ (all_55_10 = e2)
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | (4720) all_55_10 = e1 | all_55_10 = e0
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4720) gives:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | (4721) all_55_10 = e1
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (4721) imply:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | (4722) all_6_2 = e1
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4722) implies:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | (4723) all_6_2 = e1
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (4723) imply:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | (4724) op(e1, e1) = e1
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | (4725) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4725) gives:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (4726) all_57_0 = e1 & op(e3, e3) = e1
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4726) implies:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (4727) op(e3, e3) = e1
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4622), (4727), (function-axioms) are
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1950.
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (4728) all_57_2 = e1 & op(e2, e3) = e1
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (165),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (171), (197), (207), (208), (209),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (212), (213), (214), (216), (217),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (221), (223), (224), (225),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (237), (374), (3960), (3964),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (3970), (3971), (4613), (4618), (4621), (4622),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (4625), (4630), (4673), (4676), (4695), (4697),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (4709), (4710), (4711), (4724), (4728),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | #1240.
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | (4729) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4729) gives:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (4730) all_57_6 = e1 & op(e1, e3) = e1
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4730) implies:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (4731) all_57_6 = e1
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (214), (216),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (227), (228), (229), (231), (233), (237),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (3970), (3971), (4622), (4724), (4731),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | #1239.
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (4732) all_57_12 = e1 & op(e0, e3) = e1
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4732) implies:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (4733) all_57_12 = e1
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4734) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4734) gives:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4735) all_57_1 = e1 & op(e3, e2) = e1
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4735) implies:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4736) all_57_1 = e1
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4737) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4737) gives:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4738) all_57_2 = e1 & op(e2, e3) = e1
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (165),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (171), (197), (207), (208), (209),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (212), (213), (214), (216), (217),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (221), (223), (224), (225),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (237), (374), (3960), (3964),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3970), (3971), (4613), (4618), (4621), (4622),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4625), (4630), (4673), (4676), (4695), (4697),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4709), (4710), (4711), (4724), (4738),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1240.
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4739) all_57_3 = e1 & op(e2, e2) = e1
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4739) implies:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4740) op(e2, e2) = e1
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3971), (4740), (function-axioms) are
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4741) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4741) gives:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4742) all_57_5 = e1 & op(e2, e1) = e1
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4742) implies:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4743) all_57_5 = e1
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4744) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4744) gives:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4745) all_57_2 = e2 & op(e2, e3) = e2
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4745) implies:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4746) all_57_2 = e2
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (236), (3970), (4622), (4733), (4746),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1629.
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4747) all_57_3 = e2 & op(e2, e2) = e2
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4747) implies:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4748) op(e2, e2) = e2
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3971), (4748), (function-axioms) are
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2472.
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4749) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4749) gives:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4750) all_57_5 = e2 & op(e2, e1) = e2
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4750) implies:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4751) all_57_5 = e2
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4743), (4751) are inconsistent by sub-proof
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1885.
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4752) all_57_10 = e2 & op(e2, e0) = e2
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4752) implies:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4753) all_57_10 = e2
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4754) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3970), (4622), (4754), (function-axioms) are
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1654.
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4755) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4755) gives:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4756) all_57_6 = e0 & op(e1, e3) = e0
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4756) implies:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4757) all_57_6 = e0
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4758) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_5 = e2
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4758) gives:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4759) all_57_4 = e2 & op(e3, e1) = e2
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4759) implies:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4760) all_57_4 = e2
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4761) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4761) gives:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4762) all_57_4 = e0 & op(e3, e1) = e0
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4762) implies:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4763) all_57_4 = e0
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (207),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (225), (236), (374), (3962),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3970), (4622), (4706), (4733), (4743), (4753),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4757), (4763), (function-axioms) are inconsistent
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1238.
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4764) all_57_5 = e0 & op(e2, e1) = e0
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4764) implies:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4765) all_57_5 = e0
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (223), (225), (3970),
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4753), (4765) are inconsistent by sub-proof
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2355.
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4766) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4766) gives:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4767) all_57_8 = e0 & op(e1, e1) = e0
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4767) implies:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4768) op(e1, e1) = e0
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4724), (4768), (function-axioms) are
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2427.
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4769) all_57_14 = e0 & op(e0, e1) = e0
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4769) implies:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4770) all_57_14 = e0
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4771) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_2 = e3
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4771) gives:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4772) all_57_0 = e3 & op(e3, e3) = e3
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4772) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4773) op(e3, e3) = e3
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4622), (4773), (function-axioms) are
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2490.
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4774) all_57_2 = e3 & op(e2, e3) = e3
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4774) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4775) all_57_2 = e3
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4776) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 =
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4776) gives:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4777) all_57_12 = e3 & op(e0, e3) = e3
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4777) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4778) all_57_12 = e3
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4733), (4778) imply:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4779) e3 = e1
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4779) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4780) e3 = e1
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4775), (4780) imply:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4781) all_57_2 = e1
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4758) gives:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4782) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4782) gives:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4783) all_57_2 = e2 & op(e2, e3) = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4783) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4784) all_57_2 = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4781), (4784) imply:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4785) e2 = e1
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4785) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4786) e2 = e1
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4760), (4786) imply:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4787) all_57_4 = e1
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (220),
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (225), (374), (3970), (3971),
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4724), (4781), (4787), (function-axioms) are
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1242.
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4788) all_57_3 = e2 & op(e2, e2) = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4788) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4789) op(e2, e2) = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3971), (4789), (function-axioms) are
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2472.
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4749) gives:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4790) all_57_5 = e2 & op(e2, e1) = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4790) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4791) all_57_5 = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4743), (4791) imply:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4792) e2 = e1
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4792) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4793) e2 = e1
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4760), (4793) imply:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4794) all_57_4 = e1
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (220),
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (225), (374), (3970), (3971),
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4724), (4781), (4794), (function-axioms) are
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1242.
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (225), (3970), (4743), (4753),
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4781) are inconsistent by sub-proof #1645.
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4795) all_57_5 = e2 & op(e2, e1) = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4795) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4796) all_57_5 = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4743), (4796) are inconsistent by sub-proof
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1885.
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4797) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_14 =
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4797) gives:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4798) all_57_8 = e2 & op(e1, e1) = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4798) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4799) op(e1, e1) = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4724), (4799), (function-axioms) are
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2423.
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4800) all_57_14 = e2 & op(e0, e1) = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4800) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4801) all_57_14 = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4802) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4802) gives:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4803) all_57_2 = e2 & op(e2, e3) = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4803) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4804) all_57_2 = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4781), (4804) imply:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4805) e2 = e1
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (159), (160), (207),
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (227), (229), (3962), (3970),
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3971), (4618), (4676), (4706), (4736), (4801),
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4805), (function-axioms) are inconsistent by
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1236.
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4806) all_57_3 = e2 & op(e2, e2) = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4806) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4807) op(e2, e2) = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3971), (4807), (function-axioms) are
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2472.
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4749) gives:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4808) all_57_5 = e2 & op(e2, e1) = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4808) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4809) all_57_5 = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4743), (4809) imply:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4810) e2 = e1
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (159), (160), (207),
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (227), (229), (3962), (3970),
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3971), (4618), (4676), (4706), (4736), (4801),
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4810), (function-axioms) are inconsistent by
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1236.
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (225), (3970), (4743), (4753),
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4781) are inconsistent by sub-proof #1645.
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4811) all_57_13 = e3 & op(e0, e2) = e3
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4811) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4812) all_57_13 = e3
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4813) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4813) gives:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4814) all_57_12 = e2 & op(e0, e3) = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4814) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4815) op(e0, e3) = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (4618), (4815), (function-axioms) are
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1980.
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4816) all_57_13 = e2 & op(e0, e2) = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4812), (4816) are inconsistent by sub-proof
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2146.
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4817) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4817) gives:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4818) all_57_14 = e2 & op(e0, e1) = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4818) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4819) all_57_14 = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (207),
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (221), (223), (224), (225), (236), (374),
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3962), (3970), (4622), (4706), (4724), (4733),
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4743), (4753), (4757), (4819), (function-axioms)
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1235.
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4820) all_57_15 = e2 & op(e0, e0) = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4820) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4821) op(e0, e0) = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4676), (4821), (function-axioms) are
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2177.
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4822) (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 =
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4822) gives:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4823) all_57_14 = e3 & op(e0, e1) = e3
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4823) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4824) all_57_14 = e3
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (223), (225),
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3970), (4724), (4753), (4760), (4824),
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1233.
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4825) all_57_15 = e3 & op(e0, e0) = e3
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4825) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4826) all_57_15 = e3
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (208),
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (220), (221), (374), (4724), (4743),
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4770), (4826), (function-axioms) are inconsistent
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1230.
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4827) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_12 =
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (4733), (4757), (4827) are inconsistent
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1631.
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4828) all_57_5 = e2 & op(e2, e1) = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4828) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4829) all_57_5 = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4743), (4829) are inconsistent by sub-proof
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1885.
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4830) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_14 =
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4830) gives:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4831) all_57_8 = e2 & op(e1, e1) = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4831) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4832) op(e1, e1) = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4724), (4832), (function-axioms) are
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2423.
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4833) all_57_14 = e2 & op(e0, e1) = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4833) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4834) all_57_14 = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (207),
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (221), (223), (224), (225), (236), (374),
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3962), (3970), (4622), (4706), (4724), (4733),
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4743), (4753), (4757), (4834), (function-axioms)
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1235.
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4835) all_57_12 = e0 & op(e0, e3) = e0
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4835) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4836) all_57_12 = e0
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4733), (4836) imply:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4837) e1 = e0
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4837) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4838) e1 = e0
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4743), (4838) imply:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4839) all_57_5 = e0
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (223), (225), (3970),
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4753), (4839) are inconsistent by sub-proof
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2355.
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4840) all_57_10 = e1 & op(e2, e0) = e1
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (4673), (4840), (function-axioms) are
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2084.
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4841) all_57_3 = e1 & op(e2, e2) = e1
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4841) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4842) op(e2, e2) = e1
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3971), (4842), (function-axioms) are
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4843) (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_13 =
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4843) gives:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4844) all_57_7 = e1 & op(e1, e2) = e1
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4844) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4845) all_57_7 = e1
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4846) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (237),
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3971), (4622), (4846), (function-axioms) are
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1297.
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4847) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4847) gives:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4848) all_57_7 = e2 & op(e1, e2) = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4848) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4849) all_57_7 = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4845), (4849) are inconsistent by sub-proof
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1761.
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4850) all_57_13 = e2 & op(e0, e2) = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4850) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4851) all_57_13 = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4852) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_7 = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4852) gives:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4853) all_57_6 = e2 & op(e1, e3) = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4853) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4854) all_57_6 = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4855) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 =
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4855) gives:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4856) all_57_12 = e3 & op(e0, e3) = e3
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4856) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4857) all_57_12 = e3
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4733), (4857) are inconsistent by sub-proof
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2151.
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4858) all_57_13 = e3 & op(e0, e2) = e3
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4851), (4858) are inconsistent by sub-proof
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1358.
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4859) (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 =
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4859) gives:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4860) all_57_14 = e3 & op(e0, e1) = e3
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4860) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4861) all_57_14 = e3
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4862) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_5 = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4862) gives:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4863) all_57_4 = e2 & op(e3, e1) = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4863) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4864) all_57_4 = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4865) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4865) gives:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4866) all_57_9 = e2 & op(e3, e0) = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4866) implies:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4867) op(e3, e0) = e2
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (4621), (4867), (function-axioms) are
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2331.
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4868) all_57_10 = e2 & op(e2, e0) = e2
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4868) implies:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4869) all_57_10 = e2
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (218), (223), (225),
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3970), (4724), (4861), (4864), (4869),
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1233.
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4870) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4870) gives:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4871) all_57_11 = e2 & op(e1, e0) = e2
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4871) implies:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4872) all_57_11 = e2
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (214), (217),
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (229), (374), (3970), (3971), (4724),
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4845), (4851), (4872), (function-axioms) are
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1621.
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4873) all_57_15 = e2 & op(e0, e0) = e2
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4873) implies:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4874) op(e0, e0) = e2
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4676), (4874), (function-axioms) are
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2177.
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4875) all_57_5 = e2 & op(e2, e1) = e2
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4875) implies:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4876) all_57_5 = e2
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4877) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4877) gives:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4878) all_57_2 = e1 & op(e2, e3) = e1
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4878) implies:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4879) all_57_2 = e1
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (165),
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (171), (207), (208), (209), (210), (211),
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (216), (217), (219), (220),
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (225), (227), (228), (229),
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (236), (237),
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (3960), (3964), (3970), (3971), (4618),
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4621), (4622), (4625), (4673), (4676), (4724),
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4845), (4851), (4854), (4879), (function-axioms)
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1244.
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4880) all_57_3 = e1 & op(e2, e2) = e1
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4880) implies:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4881) op(e2, e2) = e1
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3971), (4881), (function-axioms) are
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4882) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4882) gives:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4883) all_57_5 = e1 & op(e2, e1) = e1
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4883) implies:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4884) all_57_5 = e1
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4876), (4884) imply:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4885) e2 = e1
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4854), (4885) imply:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4886) all_57_6 = e1
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (214), (216),
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (227), (228), (229), (231), (233), (237),
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (3970), (3971), (4622), (4724), (4886),
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1239.
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4887) all_57_10 = e1 & op(e2, e0) = e1
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (4673), (4887), (function-axioms) are
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2084.
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4888) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_14 =
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (4724), (4861), (4888),
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2089.
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4889) all_57_15 = e3 & op(e0, e0) = e3
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4889) implies:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4890) all_57_15 = e3
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (374), (4845), (4854), (4890),
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1245.
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4891) all_57_7 = e2 & op(e1, e2) = e2
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4891) implies:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4892) all_57_7 = e2
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4845), (4892) are inconsistent by sub-proof
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1761.
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4893) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_11 =
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4893) gives:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4894) all_57_8 = e2 & op(e1, e1) = e2
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4894) implies:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4895) op(e1, e1) = e2
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4724), (4895), (function-axioms) are
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2423.
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4896) all_57_11 = e2 & op(e1, e0) = e2
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4896) implies:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4897) all_57_11 = e2
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (214), (217),
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (229), (374), (3970), (3971), (4724),
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4845), (4851), (4897), (function-axioms) are
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1621.
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4898) all_57_13 = e1 & op(e0, e2) = e1
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4898) implies:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4899) all_57_13 = e1
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4900) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 =
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4900) gives:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4901) all_57_12 = e3 & op(e0, e3) = e3
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4901) implies:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4902) all_57_12 = e3
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4733), (4902) are inconsistent by sub-proof
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2151.
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4903) all_57_13 = e3 & op(e0, e2) = e3
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4903) implies:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4904) all_57_13 = e3
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4899), (4904) are inconsistent by sub-proof
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2268.
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4905) (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 =
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4905) gives:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4906) all_57_14 = e3 & op(e0, e1) = e3
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4906) implies:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4907) all_57_14 = e3
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (160), (209), (4618), (4676), (4899),
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4907), (function-axioms) are inconsistent by
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1976.
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4908) all_57_15 = e3 & op(e0, e0) = e3
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4908) implies:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4909) op(e0, e0) = e3
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4676), (4909), (function-axioms) are
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2183.
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | (4910) all_55_10 = e0
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (4627), (4910) are inconsistent by
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2118.
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | (4911) all_38_2 = e2
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (4911) imply:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | (4912) all_6_2 = e2
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4712), (4912) imply:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | (4913) op(e2, e2) = e1
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3971), (4913), (function-axioms) are
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.45 | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.45 | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.45 | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | (4914) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 221.08/37.45 | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 221.08/37.45 | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 221.08/37.45 | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 221.08/37.45 | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 221.08/37.45 | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 221.08/37.45 | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 221.08/37.45 | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 221.08/37.45 | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | ALPHA: (4914) implies:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | (4915) op(e0, e0) = all_52_31
% 221.08/37.45 | | | | | | | | | | | | | | | | | | (4916) op(all_52_31, all_52_31) = e0
% 221.08/37.45 | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (4627), (4676), (4915), (4916),
% 221.08/37.45 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.45 | | | | | | | | | | | | | | | | | | #2086.
% 221.08/37.45 | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | End of split
% 221.08/37.45 | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | End of split
% 221.08/37.45 | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | End of split
% 221.08/37.45 | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | End of split
% 221.08/37.45 | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | Case 2:
% 221.08/37.45 | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | (4917) all_24_2 = e0
% 221.08/37.45 | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | COMBINE_EQS: (315), (4917) imply:
% 221.08/37.45 | | | | | | | | | | | | | | (4918) all_6_2 = e0
% 221.08/37.45 | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | SIMP: (4918) implies:
% 221.08/37.45 | | | | | | | | | | | | | | (4919) all_6_2 = e0
% 221.08/37.45 | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | REDUCE: (350), (4919) imply:
% 221.08/37.45 | | | | | | | | | | | | | | (4920) ~ (all_53_2 = e0)
% 221.08/37.45 | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | REDUCE: (363), (4919) imply:
% 221.08/37.45 | | | | | | | | | | | | | | (4921) ~ (all_53_8 = e0)
% 221.08/37.45 | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 221.08/37.45 | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | Case 1:
% 221.08/37.45 | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | (4922) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 221.08/37.45 | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 221.08/37.45 | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | REF_CLOSE: (5), (171), (3960), (4622), (4922),
% 221.08/37.45 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.45 | | | | | | | | | | | | | | | #1321.
% 221.08/37.45 | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | Case 2:
% 221.08/37.45 | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | (4923) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 221.08/37.45 | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 221.08/37.45 | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | BETA: splitting (4923) gives:
% 221.08/37.45 | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | Case 1:
% 221.08/37.45 | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | (4924) all_57_4 = e0 & op(e3, e1) = e0
% 221.08/37.45 | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | ALPHA: (4924) implies:
% 221.08/37.45 | | | | | | | | | | | | | | | | (4925) op(e3, e1) = e0
% 221.08/37.45 | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | REF_CLOSE: (170), (4921), (4925), (function-axioms) are
% 221.08/37.45 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 221.08/37.45 | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | Case 2:
% 221.08/37.45 | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | (4926) all_57_9 = e0 & op(e3, e0) = e0
% 221.08/37.45 | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | ALPHA: (4926) implies:
% 221.08/37.45 | | | | | | | | | | | | | | | | (4927) op(e3, e0) = e0
% 221.08/37.45 | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 221.08/37.45 | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.45 | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | (4928) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 221.08/37.45 | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 221.08/37.45 | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 221.08/37.45 | | | | | | | | | | | | | | | | | (3970), (4622), (4928), (function-axioms) are
% 221.08/37.45 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1654.
% 221.08/37.45 | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.45 | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | (4929) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 221.08/37.45 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 221.08/37.45 | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | BETA: splitting (4929) gives:
% 221.08/37.45 | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.45 | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | (4930) all_57_6 = e0 & op(e1, e3) = e0
% 221.08/37.45 | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | ALPHA: (4930) implies:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | (4931) op(e1, e3) = e0
% 221.08/37.45 | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_2, e0,
% 221.08/37.45 | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (164), (4931) gives:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | (4932) all_53_2 = e0
% 221.08/37.45 | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | REDUCE: (4920), (4932) imply:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | (4933) $false
% 221.08/37.45 | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | CLOSE: (4933) is inconsistent.
% 221.08/37.45 | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.45 | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | (4934) all_57_12 = e0 & op(e0, e3) = e0
% 221.08/37.45 | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | ALPHA: (4934) implies:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | (4935) all_57_12 = e0
% 221.08/37.45 | | | | | | | | | | | | | | | | | | (4936) op(e0, e3) = e0
% 221.08/37.45 | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_3, e0,
% 221.08/37.45 | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (160), (4936) gives:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | (4937) all_53_3 = e0
% 221.08/37.45 | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_12,
% 221.08/37.45 | | | | | | | | | | | | | | | | | | e0, e0, e3, simplifying with (169), (4927) gives:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | (4938) all_53_12 = e0
% 221.08/37.45 | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | REDUCE: (149), (4937) imply:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | (4939) ~ (all_53_1 = e0)
% 221.08/37.45 | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | REDUCE: (370), (4938) imply:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | (4940) ~ (all_4_2 = e0)
% 221.08/37.45 | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | SIMP: (4940) implies:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | (4941) ~ (all_4_2 = e0)
% 221.08/37.45 | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 221.08/37.45 | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | (4942) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 221.08/37.45 | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | BETA: splitting (4942) gives:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | (4943) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | ALPHA: (4943) implies:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | (4944) op(e3, e3) = all_52_1
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | (4945) op(all_52_1, all_52_1) = e3
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3971), (4622), (4944), (4945),
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | #1653.
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | (4946) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | ALPHA: (4946) implies:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | (4947) op(e2, e2) = all_52_11
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | (4948) op(all_52_11, all_52_11) = e2
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | (4949) all_55_15 = e3
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (378), (4949) are inconsistent by sub-proof
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | #2503.
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | (4950) ~ (all_55_15 = e3)
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | (4951) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4951) gives:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | (4952) all_55_15 = e2
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (4952) are inconsistent by sub-proof
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | #2502.
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | (4953) ~ (all_55_15 = e2)
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | (4954) all_55_15 = e1 | all_55_15 = e0
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4954) gives:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.45 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | (4955) all_55_15 = e1
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (4955) imply:
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | (4956) all_4_2 = e1
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4956) implies:
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | (4957) all_4_2 = e1
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (378), (4957) imply:
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | (4958) ~ (e3 = e1)
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (4957) imply:
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | (4959) ~ (e2 = e1)
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (4957) imply:
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | (4960) op(e0, e0) = e1
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (160), (208), (209),
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | (210), (3971), (4618), (4935), (4947), (4948),
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | (4960), (function-axioms) are inconsistent by
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1228.
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | (4961) all_55_15 = e0
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (4941), (4961) are inconsistent by
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1884.
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.46 | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.46 | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | (4962) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 221.08/37.46 | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | BETA: splitting (4962) gives:
% 221.08/37.46 | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | (4963) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | ALPHA: (4963) implies:
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | (4964) op(e1, e3) = all_52_17
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | (4965) op(all_52_17, all_52_17) = e3
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (150), (164), (190), (197), (201), (244),
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | (257), (267), (374), (378), (4616), (4617),
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | (4622), (4920), (4939), (4964), (4965),
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | #1864.
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | (4966) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | ALPHA: (4966) implies:
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | (4967) op(e0, e0) = all_52_31
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | (4968) op(e0, e3) = all_52_25
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | (4969) op(all_52_25, all_52_25) = e3
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | (4970) all_55_15 = e3
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (378), (4970) are inconsistent by sub-proof
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | #2503.
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | (4971) ~ (all_55_15 = e3)
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | (4972) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4972) gives:
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | (4973) all_55_15 = e2
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (4973) are inconsistent by sub-proof
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | #2502.
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | (4974) ~ (all_55_15 = e2)
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | (4975) all_55_15 = e1 | all_55_15 = e0
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4975) gives:
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | (4976) all_55_15 = e1
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (4976) imply:
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | (4977) all_4_2 = e1
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4977) implies:
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | (4978) all_4_2 = e1
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (378), (4978) imply:
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | (4979) ~ (e3 = e1)
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (4978) imply:
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | (4980) ~ (e2 = e1)
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (4978) imply:
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | (4981) op(e0, e0) = e1
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (160), (208), (209),
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | (210), (4618), (4935), (4936), (4967), (4968),
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | (4969), (4981), (function-axioms) are inconsistent
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1962.
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | (4982) all_55_15 = e0
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (4941), (4982) are inconsistent by
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1884.
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.46 | | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.46 | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | End of split
% 221.08/37.46 | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | End of split
% 221.08/37.46 | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | End of split
% 221.08/37.46 | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | End of split
% 221.08/37.46 | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | End of split
% 221.08/37.46 | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | Case 2:
% 221.08/37.46 | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | (4983) all_57_1 = e2 & op(e3, e2) = e2
% 221.08/37.46 | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | ALPHA: (4983) implies:
% 221.08/37.46 | | | | | | | | | | | | | (4984) all_57_1 = e2
% 221.08/37.46 | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (237),
% 221.08/37.46 | | | | | | | | | | | | | (4622), (4984), (function-axioms) are inconsistent
% 221.08/37.46 | | | | | | | | | | | | | by sub-proof #1655.
% 221.08/37.46 | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | End of split
% 221.08/37.46 | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | Case 2:
% 221.08/37.46 | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | (4985) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 221.08/37.46 | | | | | | | | | | | | & op(e3, e0) = e2)
% 221.08/37.46 | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | BETA: splitting (4985) gives:
% 221.08/37.46 | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | Case 1:
% 221.08/37.46 | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | (4986) all_57_4 = e2 & op(e3, e1) = e2
% 221.08/37.46 | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | ALPHA: (4986) implies:
% 221.08/37.46 | | | | | | | | | | | | | (4987) all_57_4 = e2
% 221.08/37.46 | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | BETA: splitting (231) gives:
% 221.08/37.46 | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | Case 1:
% 221.08/37.46 | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | (4988) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 221.08/37.46 | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 221.08/37.46 | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | REF_CLOSE: (5), (171), (3960), (4622), (4988),
% 221.08/37.46 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.46 | | | | | | | | | | | | | | #1321.
% 221.08/37.46 | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | Case 2:
% 221.08/37.46 | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | (4989) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 221.08/37.46 | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 221.08/37.46 | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (233), (237),
% 221.08/37.46 | | | | | | | | | | | | | | (4622), (4987), (4989), (function-axioms) are
% 221.08/37.46 | | | | | | | | | | | | | | inconsistent by sub-proof #1605.
% 221.08/37.46 | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | End of split
% 221.08/37.46 | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | Case 2:
% 221.08/37.46 | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | (4990) all_57_9 = e2 & op(e3, e0) = e2
% 221.08/37.46 | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | ALPHA: (4990) implies:
% 221.08/37.46 | | | | | | | | | | | | | (4991) op(e3, e0) = e2
% 221.08/37.46 | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | REF_CLOSE: (169), (4621), (4991), (function-axioms) are
% 221.08/37.46 | | | | | | | | | | | | | inconsistent by sub-proof #2331.
% 221.08/37.46 | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | End of split
% 221.08/37.46 | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | End of split
% 221.08/37.46 | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | End of split
% 221.08/37.46 | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | Case 2:
% 221.08/37.46 | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | (4992) all_18_2 = e0
% 221.08/37.46 | | | | | | | | | | (4993) ( ~ (all_18_0 = e1) & op(all_18_1, e3) = all_18_0
% 221.08/37.46 | | | | | | | | | | & op(e3, e0) = all_18_1 & $i(all_18_0) &
% 221.08/37.46 | | | | | | | | | | $i(all_18_1)) | ( ~ (all_18_1 = e2) & op(e3, e0)
% 221.08/37.46 | | | | | | | | | | = all_18_1 & $i(all_18_1))
% 221.08/37.46 | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | COMBINE_EQS: (327), (4992) imply:
% 221.08/37.46 | | | | | | | | | | (4994) all_10_2 = e0
% 221.08/37.46 | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | SIMP: (4994) implies:
% 221.08/37.46 | | | | | | | | | | (4995) all_10_2 = e0
% 221.08/37.46 | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | COMBINE_EQS: (279), (4995) imply:
% 221.08/37.46 | | | | | | | | | | (4996) all_48_2 = e0
% 221.08/37.46 | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | REDUCE: (338), (4995) imply:
% 221.08/37.46 | | | | | | | | | | (4997) ~ (all_53_1 = e0)
% 221.08/37.46 | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | REDUCE: (340), (4995) imply:
% 221.08/37.46 | | | | | | | | | | (4998) ~ (all_53_2 = e0)
% 221.08/37.46 | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | REDUCE: (342), (4995) imply:
% 221.08/37.46 | | | | | | | | | | (4999) ~ (all_53_3 = e0)
% 221.08/37.46 | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | REDUCE: (346), (4995) imply:
% 221.08/37.46 | | | | | | | | | | (5000) ~ (all_53_8 = e0)
% 221.08/37.46 | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | REDUCE: (348), (4995) imply:
% 221.08/37.46 | | | | | | | | | | (5001) ~ (all_53_12 = e0)
% 221.08/37.46 | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | REDUCE: (376), (4995) imply:
% 221.08/37.46 | | | | | | | | | | (5002) ~ (e1 = e0)
% 221.08/37.46 | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | BETA: splitting (231) gives:
% 221.08/37.46 | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | Case 1:
% 221.08/37.46 | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | (5003) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 221.08/37.46 | | | | | | | | | | | & op(e3, e2) = e0)
% 221.08/37.46 | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | BETA: splitting (5003) gives:
% 221.08/37.46 | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | Case 1:
% 221.08/37.46 | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | (5004) all_57_0 = e0 & op(e3, e3) = e0
% 221.08/37.46 | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | ALPHA: (5004) implies:
% 221.08/37.46 | | | | | | | | | | | | (5005) all_57_0 = e0
% 221.08/37.46 | | | | | | | | | | | | (5006) op(e3, e3) = e0
% 221.08/37.46 | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | BETA: splitting (67) gives:
% 221.08/37.46 | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | Case 1:
% 221.08/37.46 | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | (5007) ~ (all_24_2 = e0)
% 221.08/37.46 | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | REDUCE: (315), (5007) imply:
% 221.08/37.46 | | | | | | | | | | | | | (5008) ~ (all_6_2 = e0)
% 221.08/37.46 | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | BETA: splitting (214) gives:
% 221.08/37.46 | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | Case 1:
% 221.08/37.46 | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | (5009) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 221.08/37.46 | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 221.08/37.46 | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | REF_CLOSE: (163), (164), (3961), (4998), (5009),
% 221.08/37.46 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.46 | | | | | | | | | | | | | | #2038.
% 221.08/37.46 | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | Case 2:
% 221.08/37.46 | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | (5010) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 221.08/37.46 | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 221.08/37.46 | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | BETA: splitting (5010) gives:
% 221.08/37.46 | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | Case 1:
% 221.08/37.46 | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | (5011) all_57_8 = e0 & op(e1, e1) = e0
% 221.08/37.46 | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | REF_CLOSE: (39), (5008), (5011), (function-axioms) are
% 221.08/37.46 | | | | | | | | | | | | | | | inconsistent by sub-proof #2412.
% 221.08/37.46 | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | Case 2:
% 221.08/37.46 | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | (5012) all_57_11 = e0 & op(e1, e0) = e0
% 221.08/37.46 | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | ALPHA: (5012) implies:
% 221.08/37.46 | | | | | | | | | | | | | | | (5013) op(e1, e0) = e0
% 221.08/37.46 | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 221.08/37.46 | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | Case 1:
% 221.08/37.46 | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | (5014) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 221.08/37.46 | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 221.08/37.46 | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | BETA: splitting (5014) gives:
% 221.08/37.46 | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.46 | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | (5015) all_57_4 = e0 & op(e3, e1) = e0
% 221.08/37.46 | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | ALPHA: (5015) implies:
% 221.08/37.46 | | | | | | | | | | | | | | | | | (5016) op(e3, e1) = e0
% 221.08/37.46 | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (5000), (5016), (function-axioms) are
% 221.08/37.46 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 221.08/37.46 | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.46 | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | (5017) all_57_5 = e0 & op(e2, e1) = e0
% 221.08/37.46 | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | ALPHA: (5017) implies:
% 221.08/37.46 | | | | | | | | | | | | | | | | | (5018) op(e2, e1) = e0
% 221.08/37.46 | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_9, e0,
% 221.08/37.46 | | | | | | | | | | | | | | | | | e1, e2, simplifying with (166), (5018) gives:
% 221.08/37.46 | | | | | | | | | | | | | | | | | (5019) all_53_9 = e0
% 221.08/37.46 | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | REDUCE: (3963), (5019) imply:
% 221.08/37.46 | | | | | | | | | | | | | | | | | (5020) $false
% 221.08/37.46 | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | CLOSE: (5020) is inconsistent.
% 221.08/37.46 | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | End of split
% 221.08/37.46 | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | Case 2:
% 221.08/37.46 | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | (5021) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 221.08/37.46 | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 221.08/37.46 | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | BETA: splitting (5021) gives:
% 221.08/37.46 | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.46 | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | (5022) all_57_8 = e0 & op(e1, e1) = e0
% 221.08/37.46 | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (5008), (5022), (function-axioms) are
% 221.08/37.46 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2412.
% 221.08/37.46 | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.46 | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | (5023) all_57_14 = e0 & op(e0, e1) = e0
% 221.08/37.46 | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | ALPHA: (5023) implies:
% 221.08/37.46 | | | | | | | | | | | | | | | | | (5024) all_57_14 = e0
% 221.08/37.46 | | | | | | | | | | | | | | | | | (5025) op(e0, e1) = e0
% 221.08/37.46 | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (36), (39), (91), (107), (158),
% 221.08/37.46 | | | | | | | | | | | | | | | | | (161), (190), (208), (209), (210), (244), (295),
% 221.08/37.46 | | | | | | | | | | | | | | | | | (368), (372), (373), (378), (3971), (5006),
% 221.08/37.46 | | | | | | | | | | | | | | | | | (5013), (5024), (5025), (function-axioms) are
% 221.08/37.46 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1226.
% 221.08/37.46 | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | End of split
% 221.08/37.46 | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | End of split
% 221.08/37.46 | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | End of split
% 221.08/37.46 | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | End of split
% 221.08/37.46 | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | Case 2:
% 221.08/37.46 | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | (5026) all_24_2 = e0
% 221.08/37.46 | | | | | | | | | | | | | (5027) ( ~ (all_24_0 = e2) & op(all_24_1, e1) = all_24_0
% 221.08/37.46 | | | | | | | | | | | | | & op(e1, e0) = all_24_1 & $i(all_24_0) &
% 221.08/37.46 | | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e3) & op(e1, e0)
% 221.08/37.46 | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 221.08/37.46 | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | COMBINE_EQS: (315), (5026) imply:
% 221.08/37.46 | | | | | | | | | | | | | (5028) all_6_2 = e0
% 221.08/37.46 | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | SIMP: (5028) implies:
% 221.08/37.46 | | | | | | | | | | | | | (5029) all_6_2 = e0
% 221.08/37.46 | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | COMBINE_EQS: (311), (5029) imply:
% 221.08/37.46 | | | | | | | | | | | | | (5030) all_34_2 = e0
% 221.08/37.46 | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | REDUCE: (368), (5029) imply:
% 221.08/37.46 | | | | | | | | | | | | | (5031) ~ (all_53_14 = e0)
% 221.08/37.46 | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | BETA: splitting (214) gives:
% 221.08/37.46 | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | Case 1:
% 221.08/37.46 | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | (5032) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 221.08/37.46 | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 221.08/37.46 | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | REF_CLOSE: (163), (164), (3961), (4998), (5032),
% 221.08/37.46 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.46 | | | | | | | | | | | | | | #2038.
% 221.08/37.46 | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | Case 2:
% 221.08/37.46 | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | (5033) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 221.08/37.46 | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 221.08/37.46 | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | BETA: splitting (5033) gives:
% 221.08/37.46 | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | Case 1:
% 221.08/37.46 | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | (5034) all_57_8 = e0 & op(e1, e1) = e0
% 221.08/37.46 | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | ALPHA: (5034) implies:
% 221.08/37.46 | | | | | | | | | | | | | | | (5035) all_57_8 = e0
% 221.08/37.46 | | | | | | | | | | | | | | | (5036) op(e1, e1) = e0
% 221.08/37.46 | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 221.08/37.46 | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | Case 1:
% 221.08/37.46 | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | (5037) all_57_15 = e0 & op(e0, e0) = e0
% 221.08/37.46 | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | ALPHA: (5037) implies:
% 221.08/37.46 | | | | | | | | | | | | | | | | (5038) all_57_15 = e0
% 221.08/37.46 | | | | | | | | | | | | | | | | (5039) op(e0, e0) = e0
% 221.08/37.46 | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e0,
% 221.08/37.46 | | | | | | | | | | | | | | | | e0, e0, simplifying with (36), (5039) gives:
% 221.08/37.46 | | | | | | | | | | | | | | | | (5040) all_4_2 = e0
% 221.08/37.46 | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | REDUCE: (369), (5040) imply:
% 221.08/37.46 | | | | | | | | | | | | | | | | (5041) ~ (all_53_11 = e0)
% 221.08/37.46 | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | REDUCE: (373), (5040) imply:
% 221.08/37.46 | | | | | | | | | | | | | | | | (5042) ~ (e2 = e0)
% 221.08/37.46 | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 221.08/37.46 | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.46 | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | (5043) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 221.08/37.46 | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 221.08/37.46 | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 221.08/37.46 | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 221.08/37.46 | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 221.08/37.46 | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 221.08/37.46 | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 221.08/37.46 | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 221.08/37.46 | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 221.08/37.46 | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 221.08/37.46 | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 221.08/37.46 | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 221.08/37.46 | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 221.08/37.46 | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 221.08/37.46 | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 221.08/37.46 | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | BETA: splitting (5043) gives:
% 221.08/37.46 | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.46 | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | (5044) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 221.08/37.46 | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 221.08/37.46 | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 221.08/37.46 | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 221.08/37.46 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 221.08/37.46 | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 221.08/37.46 | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 221.08/37.46 | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 221.08/37.46 | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5006), (5039), (5044), (function-axioms) are
% 221.08/37.46 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1939.
% 221.08/37.46 | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.46 | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | (5045) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 221.08/37.46 | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 221.08/37.46 | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 221.08/37.46 | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 221.08/37.46 | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 221.08/37.46 | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 221.08/37.46 | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 221.08/37.46 | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 221.08/37.46 | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | ALPHA: (5045) implies:
% 221.08/37.46 | | | | | | | | | | | | | | | | | | (5046) op(e2, e2) = all_52_11
% 221.08/37.46 | | | | | | | | | | | | | | | | | | (5047) op(all_52_11, all_52_11) = e2
% 221.08/37.46 | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3971), (5039), (5046), (5047),
% 221.08/37.46 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.46 | | | | | | | | | | | | | | | | | | #2270.
% 221.08/37.46 | | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | | End of split
% 221.08/37.46 | | | | | | | | | | | | | | | | |
% 221.08/37.46 | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.46 | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | (5048) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 221.08/37.47 | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 221.08/37.47 | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 221.08/37.47 | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 221.08/37.47 | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 221.08/37.47 | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 221.08/37.47 | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 221.08/37.47 | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 221.08/37.47 | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 221.08/37.47 | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 221.08/37.47 | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 221.08/37.47 | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 221.08/37.47 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 221.08/37.47 | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 221.08/37.47 | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 221.08/37.47 | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 221.08/37.47 | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | BETA: splitting (5048) gives:
% 221.08/37.47 | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.47 | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | (5049) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 221.08/37.47 | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 221.08/37.47 | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 221.08/37.47 | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 221.08/37.47 | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 221.08/37.47 | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 221.08/37.47 | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 221.08/37.47 | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 221.08/37.47 | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5036), (5039), (5049), (function-axioms) are
% 221.08/37.47 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2036.
% 221.08/37.47 | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.47 | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | (5050) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 221.08/37.47 | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 221.08/37.47 | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 221.08/37.47 | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 221.08/37.47 | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 221.08/37.47 | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 221.08/37.47 | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 221.08/37.47 | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 221.08/37.47 | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | ALPHA: (5050) implies:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | (5051) op(e0, e0) = all_52_31
% 221.08/37.47 | | | | | | | | | | | | | | | | | | (5052) op(e0, e1) = all_52_29
% 221.08/37.47 | | | | | | | | | | | | | | | | | | (5053) op(e0, e2) = all_52_27
% 221.08/37.47 | | | | | | | | | | | | | | | | | | (5054) op(e0, e3) = all_52_25
% 221.08/37.47 | | | | | | | | | | | | | | | | | | (5055) op(all_52_29, all_52_29) = e1
% 221.08/37.47 | | | | | | | | | | | | | | | | | | (5056) op(all_52_27, all_52_27) = e2
% 221.08/37.47 | | | | | | | | | | | | | | | | | | (5057) op(all_52_25, all_52_25) = e3
% 221.08/37.47 | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 221.08/37.47 | | | | | | | | | | | | | | | | | | all_52_31, e0, e0, simplifying with (5039), (5051)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | gives:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | (5058) all_52_31 = e0
% 221.08/37.47 | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_11,
% 221.08/37.47 | | | | | | | | | | | | | | | | | | all_52_29, e1, e0, simplifying with (158), (5052)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | gives:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | (5059) all_53_11 = all_52_29
% 221.08/37.47 | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_7,
% 221.08/37.47 | | | | | | | | | | | | | | | | | | all_52_27, e2, e0, simplifying with (159), (5053)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | gives:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | (5060) all_53_7 = all_52_27
% 221.08/37.47 | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_3,
% 221.08/37.47 | | | | | | | | | | | | | | | | | | all_52_25, e3, e0, simplifying with (160), (5054)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | gives:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | (5061) all_53_3 = all_52_25
% 221.08/37.47 | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (5059) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | (5062) all_55_14 = all_52_29
% 221.08/37.47 | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5060) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | (5063) all_55_13 = all_52_27
% 221.08/37.47 | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (5061) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | (5064) all_55_12 = all_52_25
% 221.08/37.47 | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | REDUCE: (149), (5061) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | (5065) ~ (all_53_1 = all_52_25)
% 221.08/37.47 | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | REDUCE: (145), (5061) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | (5066) ~ (all_53_2 = all_52_25)
% 221.08/37.47 | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | REDUCE: (4999), (5061) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | (5067) ~ (all_52_25 = e0)
% 221.08/37.47 | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | REDUCE: (136), (5060) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | (5068) ~ (all_53_4 = all_52_27)
% 221.08/37.47 | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | REDUCE: (129), (5060) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | (5069) ~ (all_53_6 = all_52_27)
% 221.08/37.47 | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | REDUCE: (126), (5059), (5060) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | (5070) ~ (all_52_27 = all_52_29)
% 221.08/37.47 | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | REDUCE: (3962), (5060) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | (5071) ~ (all_52_27 = e0)
% 221.08/37.47 | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | REDUCE: (122), (5059) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | (5072) ~ (all_53_8 = all_52_29)
% 221.08/37.47 | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | REDUCE: (119), (5059) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | (5073) ~ (all_53_9 = all_52_29)
% 221.08/37.47 | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | REDUCE: (5041), (5059) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | (5074) ~ (all_52_29 = e0)
% 221.08/37.47 | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 221.08/37.47 | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | (5075) ~ (all_34_2 = e0)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | REDUCE: (5030), (5075) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | (5076) $false
% 221.08/37.47 | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | CLOSE: (5076) is inconsistent.
% 221.08/37.47 | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | (5077) ( ~ (all_34_0 = e3) & op(all_34_1, e1) = all_34_0
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_34_1 & $i(all_34_0) &
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | $i(all_34_1)) | ( ~ (all_34_1 = e2) & op(e1, e0)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | = all_34_1 & $i(all_34_1))
% 221.08/37.47 | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | (5078) ~ (all_48_2 = e0)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | REDUCE: (4996), (5078) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | (5079) $false
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | CLOSE: (5079) is inconsistent.
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | (5080) ( ~ (all_48_0 = e2) & op(all_48_1, e3) = all_48_0
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_48_1 & $i(all_48_0) &
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | $i(all_48_1)) | ( ~ (all_48_1 = e1) & op(e3, e0)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | = all_48_1 & $i(all_48_1))
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | (5081) ~ (all_50_2 = e0)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3959), (5081) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | (5082) $false
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | CLOSE: (5082) is inconsistent.
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | (5083) ( ~ (all_50_0 = e3) & op(all_50_1, e2) = all_50_0
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_50_1 & $i(all_50_0) &
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)) | ( ~ (all_50_1 = e1) & op(e2, e0)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | (5084) all_55_7 = e3
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (5084) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | (5085) all_53_13 = e3
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | SIMP: (5085) implies:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | (5086) all_53_13 = e3
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (5086) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | (5087) ~ (all_53_12 = e3)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (5086) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | (5088) ~ (all_53_14 = e3)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | SIMP: (5088) implies:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | (5089) ~ (all_53_14 = e3)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | (5090) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5090) gives:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | (5091) all_57_2 = e3 & op(e2, e3) = e3
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5091) implies:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | (5092) all_57_2 = e3
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | (5093) (all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 =
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (169), (223), (224),
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | (3970), (5087), (5092), (5093), (function-axioms)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1334.
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | (5094) (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 =
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (161), (5039), (5089), (5094),
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | #2303.
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | (5095) all_57_3 = e3 & op(e2, e2) = e3
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5095) implies:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | (5096) all_57_3 = e3
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3970), (5096) are inconsistent by sub-proof
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | #2358.
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | (5097) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5097) gives:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | (5098) all_57_5 = e3 & op(e2, e1) = e3
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5098) implies:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | (5099) all_57_5 = e3
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | (5100) (all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 =
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (169), (223), (224),
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | (3970), (5087), (5099), (5100), (function-axioms)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1409.
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | (5101) (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 =
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (161), (5039), (5089), (5101),
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | #2303.
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | (5102) all_57_10 = e3 & op(e2, e0) = e3
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5102) implies:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | (5103) all_57_10 = e3
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | (5104) op(e2, e0) = e3
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3957) gives:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | (5105) ~ (all_14_0 = e1) & op(all_14_1, e2) = all_14_0 &
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_14_1 & $i(all_14_0) &
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5105) implies:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | (5106) ~ (all_14_0 = e1)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | (5107) op(e2, e0) = all_14_1
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | (5108) op(all_14_1, e2) = all_14_0
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5083) gives:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5109) ~ (all_50_0 = e3) & op(all_50_1, e2) = all_50_0 &
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_50_1 & $i(all_50_0) &
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5109) implies:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5110) ~ (all_50_0 = e3)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5111) op(e2, e0) = all_50_1
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5112) op(all_50_1, e2) = all_50_0
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_1,
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_1, e0, e2, simplifying with (5107), (5111)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5113) all_50_1 = all_14_1
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_50_1,
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (5104), (5111) gives:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5114) all_50_1 = e3
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5113), (5114) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5115) all_14_1 = e3
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5112), (5114) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5116) op(e3, e2) = all_50_0
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5108), (5115) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5117) op(e3, e2) = all_14_0
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_4,
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | all_14_0, e2, e3, simplifying with (171), (5117)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5118) all_53_4 = all_14_0
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_4,
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_0, e2, e3, simplifying with (171), (5116)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5119) all_53_4 = all_50_0
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5118), (5119) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5120) all_50_0 = all_14_0
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5120) implies:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5121) all_50_0 = all_14_0
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (5118) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5122) all_55_1 = all_14_0
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (5118) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5123) ~ (all_53_6 = all_14_0)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5123) implies:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5124) ~ (all_53_6 = all_14_0)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (5118) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5125) ~ (all_53_8 = all_14_0)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5125) implies:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5126) ~ (all_53_8 = all_14_0)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (5118) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5127) ~ (all_53_12 = all_14_0)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5127) implies:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5128) ~ (all_53_12 = all_14_0)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5068), (5118) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5129) ~ (all_52_27 = all_14_0)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5129) implies:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5130) ~ (all_52_27 = all_14_0)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3960), (5118) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5131) ~ (all_14_0 = e0)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5110), (5121) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5132) ~ (all_14_0 = e3)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5133) all_55_1 = e3
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5122), (5132), (5133) are inconsistent by
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1225.
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5134) ~ (all_55_1 = e3)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5135) all_55_1 = e2 | all_55_1 = e1 | all_55_1 = e0
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (39), (121), (144), (161), (164), (169),
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (192), (196), (197), (202), (203), (209),
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (214), (215), (216), (217), (219),
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (225), (226), (227), (228),
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (256), (257), (268), (269), (374),
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3961), (3970), (3971), (4993), (4998), (5000),
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5001), (5005), (5006), (5035), (5036), (5038),
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5039), (5055), (5056), (5062), (5063), (5069),
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5070), (5071), (5072), (5074), (5080), (5087),
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5089), (5103), (5104), (5106), (5107), (5108),
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5111), (5117), (5122), (5124), (5126), (5128),
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5130), (5131), (5132), (5135), (function-axioms)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1196.
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5136) ~ (all_50_1 = e1) & op(e2, e0) = all_50_1 &
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5136) implies:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5137) op(e2, e0) = all_50_1
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_1,
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_1, e0, e2, simplifying with (5107), (5137)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5138) all_50_1 = all_14_1
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_50_1,
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (5104), (5137) gives:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5139) all_50_1 = e3
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5138), (5139) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5140) all_14_1 = e3
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5108), (5140) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5141) op(e3, e2) = all_14_0
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_4,
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | all_14_0, e2, e3, simplifying with (171), (5141)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5142) all_53_4 = all_14_0
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (5142) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5143) all_55_1 = all_14_0
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (5142) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5144) ~ (all_53_6 = all_14_0)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5144) implies:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5145) ~ (all_53_6 = all_14_0)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (5142) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5146) ~ (all_53_8 = all_14_0)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5146) implies:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5147) ~ (all_53_8 = all_14_0)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (5142) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5148) ~ (all_53_12 = all_14_0)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5148) implies:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5149) ~ (all_53_12 = all_14_0)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5068), (5142) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5150) ~ (all_52_27 = all_14_0)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5150) implies:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5151) ~ (all_52_27 = all_14_0)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3960), (5142) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5152) ~ (all_14_0 = e0)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5153) all_55_1 = e3
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5143), (5153) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5154) all_14_0 = e3
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5154) implies:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5155) all_14_0 = e3
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5141), (5155) imply:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5156) op(e3, e2) = e3
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5157) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5157) gives:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5158) all_57_4 = e3 & op(e3, e1) = e3
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5158) implies:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5159) all_57_4 = e3
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5160) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (5006), (5156), (5160),
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1195.
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5161) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5161) gives:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5162) all_57_4 = e2 & op(e3, e1) = e2
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5162) implies:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5163) all_57_4 = e2
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5159), (5163) are inconsistent by sub-proof
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2482.
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5164) all_57_9 = e2 & op(e3, e0) = e2
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5164) implies:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5165) all_57_9 = e2
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5166) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5166) gives:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5167) all_57_0 = e1 & op(e3, e3) = e1
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5005), (5167) are inconsistent by sub-proof
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2454.
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5168) all_57_1 = e1 & op(e3, e2) = e1
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5168) implies:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5169) op(e3, e2) = e1
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5104), (5106), (5107), (5108), (5137), (5169),
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1328.
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5170) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (5159), (5165), (5170) are inconsistent
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1194.
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5171) all_57_5 = e3 & op(e2, e1) = e3
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5171) implies:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5172) all_57_5 = e3
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (223), (224), (3970),
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5103), (5172) are inconsistent by sub-proof
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1693.
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5173) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (39), (374), (5006), (5052), (5055), (5173),
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1933.
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5174) ~ (all_55_1 = e3)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5175) all_55_1 = e2 | all_55_1 = e1 | all_55_1 = e0
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5143), (5174) imply:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5176) ~ (all_14_0 = e3)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (39), (121), (144), (161), (164), (169),
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (192), (196), (197), (202), (203), (209),
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (214), (215), (216), (217), (219),
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (225), (226), (227), (228),
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (256), (257), (268), (269), (374),
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3961), (3970), (3971), (4993), (4998), (5000),
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5001), (5005), (5006), (5035), (5036), (5038),
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5039), (5055), (5056), (5062), (5063), (5069),
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5070), (5071), (5072), (5074), (5080), (5087),
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5089), (5103), (5104), (5106), (5107), (5108),
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5137), (5141), (5143), (5145), (5147), (5149),
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5151), (5152), (5175), (5176), (function-axioms)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1196.
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | (5177) ~ (all_14_1 = e3) & op(e2, e0) = all_14_1 &
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5083), (5104), (5177), (function-axioms) are
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1326.
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | (5178) ~ (all_55_7 = e3)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (258), (5178) imply:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | (5179) ~ (all_53_13 = e3)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | (5180) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5180) gives:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | (5181) all_57_2 = e3 & op(e2, e3) = e3
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5181) implies:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | (5182) all_57_2 = e3
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | (5183) op(e2, e3) = e3
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_1, e3,
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (168), (5183) gives:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | (5184) all_53_1 = e3
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (5184) imply:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | (5185) ~ (all_53_9 = e3)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5185) implies:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | (5186) ~ (all_53_9 = e3)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | (5187) all_55_6 = e3
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (5186), (5187) are inconsistent by
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2498.
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | (5188) all_55_6 = e2 | all_55_6 = e1 | all_55_6 = e0
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (5189) (all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 =
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5189) gives:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5190) all_57_9 = e3 & op(e3, e0) = e3
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5190) implies:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5191) all_57_9 = e3
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5192) op(e3, e0) = e3
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_12,
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e3, simplifying with (169), (5192) gives:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5193) all_53_12 = e3
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (5193) imply:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5194) ~ (all_53_14 = e3)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5194) implies:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5195) ~ (all_53_14 = e3)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5196) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5196) gives:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5197) all_57_4 = e3 & op(e3, e1) = e3
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5197) implies:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5198) all_57_4 = e3
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5199) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5199) gives:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5200) all_57_0 = e2 & op(e3, e3) = e2
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5200) implies:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5201) op(e3, e3) = e2
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5006), (5201), (function-axioms) are
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2403.
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5202) all_57_1 = e2 & op(e3, e2) = e2
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5202) implies:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5203) all_57_1 = e2
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5204) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5204) gives:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5205) all_57_6 = e3 & op(e1, e3) = e3
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5205) implies:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5206) all_57_6 = e3
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (232), (234), (5005),
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5006), (5182), (5206), (function-axioms) are
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1287.
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5207) all_57_7 = e3 & op(e1, e2) = e3
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5207) implies:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5208) all_57_7 = e3
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5209) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (3971), (5203), (5209),
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2209.
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5210) (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_13 =
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5210) gives:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5211) all_57_7 = e1 & op(e1, e2) = e1
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5211) implies:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5212) all_57_7 = e1
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5208), (5212) are inconsistent by sub-proof
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2115.
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5213) all_57_13 = e1 & op(e0, e2) = e1
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5213) implies:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5214) all_57_13 = e1
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5215) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5215) gives:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5216) all_57_0 = e1 & op(e3, e3) = e1
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5005), (5216) are inconsistent by sub-proof
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2454.
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5217) all_57_1 = e1 & op(e3, e2) = e1
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5217) implies:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5218) all_57_1 = e1
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (228), (229), (3970),
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3971), (5214), (5218), (function-axioms) are
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1193.
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5219) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5219) gives:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5220) all_57_4 = e1 & op(e3, e1) = e1
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5198), (5220) are inconsistent by sub-proof
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2484.
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5221) all_57_9 = e1 & op(e3, e0) = e1
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5191), (5221) are inconsistent by sub-proof
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1669.
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5222) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (161), (374), (5195), (5222),
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2310.
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5223) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5223) gives:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5224) all_57_4 = e2 & op(e3, e1) = e2
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5198), (5224) are inconsistent by sub-proof
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2487.
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5225) all_57_9 = e2 & op(e3, e0) = e2
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5225) implies:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5226) all_57_9 = e2
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5191), (5226) are inconsistent by sub-proof
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1192.
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5227) all_57_5 = e3 & op(e2, e1) = e3
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5227) implies:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5228) all_57_5 = e3
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (223), (224), (3970),
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5182), (5228) are inconsistent by sub-proof
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1802.
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5229) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (39), (374), (5006), (5052), (5055), (5229),
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1933.
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5230) all_57_10 = e3 & op(e2, e0) = e3
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5230) implies:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5231) all_57_10 = e3
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (223), (224), (3970),
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5182), (5231) are inconsistent by sub-proof
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1433.
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (5232) (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 =
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5232) gives:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5233) all_57_11 = e3 & op(e1, e0) = e3
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5233) implies:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5234) all_57_11 = e3
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5235) op(e1, e0) = e3
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_14,
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e1, simplifying with (161), (5235) gives:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5236) all_53_14 = e3
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5077) gives:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5237) ~ (all_34_0 = e3) & op(all_34_1, e1) = all_34_0 &
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_34_1 & $i(all_34_0) &
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5237) implies:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5238) ~ (all_34_0 = e3)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5239) op(e1, e0) = all_34_1
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5240) op(all_34_1, e1) = all_34_0
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5027) gives:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5241) ~ (all_24_0 = e2) & op(all_24_1, e1) = all_24_0 &
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_24_1 & $i(all_24_0) &
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5241) implies:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5242) ~ (all_24_0 = e2)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5243) op(e1, e0) = all_24_1
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5244) op(all_24_1, e1) = all_24_0
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_34_1,
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (5235), (5239) gives:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5245) all_34_1 = e3
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_24_1,
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_34_1, e0, e1, simplifying with (5239), (5243)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5246) all_34_1 = all_24_1
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5245), (5246) imply:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5247) all_24_1 = e3
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5247) implies:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5248) all_24_1 = e3
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5240), (5245) imply:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5249) op(e3, e1) = all_34_0
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5244), (5248) imply:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5250) op(e3, e1) = all_24_0
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_8,
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_0, e1, e3, simplifying with (170), (5250)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5251) all_53_8 = all_24_0
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_8,
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_34_0, e1, e3, simplifying with (170), (5249)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5252) all_53_8 = all_34_0
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5251), (5252) imply:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5253) all_34_0 = all_24_0
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5253) implies:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5254) all_34_0 = all_24_0
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (5251) imply:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5255) all_55_2 = all_24_0
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (124), (5251) imply:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5256) ~ (all_53_9 = all_24_0)
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5256) implies:
% 221.08/37.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5257) ~ (all_53_9 = all_24_0)
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5072), (5251) imply:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5258) ~ (all_52_29 = all_24_0)
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5258) implies:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5259) ~ (all_52_29 = all_24_0)
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5000), (5251) imply:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5260) ~ (all_24_0 = e0)
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5238), (5254) imply:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5261) ~ (all_24_0 = e3)
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5262) all_55_2 = e3
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5255), (5262) imply:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5263) all_24_0 = e3
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5261), (5263) imply:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5264) $false
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5264) is inconsistent.
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5265) all_55_2 = e2 | all_55_2 = e1 | all_55_2 = e0
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5265) gives:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5266) all_55_2 = e2
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5255), (5266) imply:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5267) all_24_0 = e2
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5242), (5267) imply:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5268) $false
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5268) is inconsistent.
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5269) all_55_2 = e1 | all_55_2 = e0
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5269) gives:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5270) all_55_2 = e1
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5255), (5270) imply:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5271) all_24_0 = e1
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5257), (5271) imply:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5272) ~ (all_53_9 = e1)
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5259), (5271) imply:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5273) ~ (all_52_29 = e1)
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5188) gives:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5274) all_55_6 = e2
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (5274) imply:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5275) all_53_9 = e2
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5073), (5275) imply:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5276) ~ (all_52_29 = e2)
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (191), (5006), (5052), (5055), (5062),
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5074), (5273), (5276), (function-axioms) are
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1191.
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5277) all_55_6 = e1 | all_55_6 = e0
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (3963), (5272), (5277) are inconsistent by
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2161.
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5278) all_55_2 = e0
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5255), (5278) imply:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5279) all_24_0 = e0
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5260), (5279) imply:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5280) $false
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5280) is inconsistent.
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5281) ~ (all_24_1 = e3) & op(e1, e0) = all_24_1 &
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5281) implies:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5282) ~ (all_24_1 = e3)
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5283) op(e1, e0) = all_24_1
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5235), (5239), (5282), (5283), (function-axioms)
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1961.
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5284) ~ (all_34_1 = e2) & op(e1, e0) = all_34_1 &
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5284) implies:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5285) ~ (all_34_1 = e2)
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5286) op(e1, e0) = all_34_1
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5287) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5287) gives:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5288) all_57_4 = e3 & op(e3, e1) = e3
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5288) implies:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5289) all_57_4 = e3
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5290) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 =
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5290) gives:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5291) all_57_12 = e3 & op(e0, e3) = e3
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5291) implies:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5292) all_57_12 = e3
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5293) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5293) gives:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5294) all_57_0 = e1 & op(e3, e3) = e1
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5005), (5294) are inconsistent by sub-proof
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2454.
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5295) all_57_2 = e1 & op(e2, e3) = e1
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5182), (5295) are inconsistent by sub-proof
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1928.
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5296) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5296) gives:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5297) all_57_6 = e1 & op(e1, e3) = e1
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5297) implies:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5298) all_57_6 = e1
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5299) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5299) gives:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5300) all_57_1 = e3 & op(e3, e2) = e3
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5300) implies:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5301) all_57_1 = e3
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (235),
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5006), (5289), (5301), (function-axioms) are
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1220.
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5302) all_57_3 = e3 & op(e2, e2) = e3
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5302) implies:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5303) all_57_3 = e3
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3970), (5303) imply:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5304) e3 = e0
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5182), (5304) imply:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5305) all_57_2 = e0
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3970), (5305) are inconsistent by sub-proof
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2246.
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5306) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5306) gives:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5307) all_57_7 = e3 & op(e1, e2) = e3
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5307) implies:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5308) all_57_7 = e3
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5309) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_7 = e2
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5309) gives:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5310) all_57_6 = e2 & op(e1, e3) = e2
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5310) implies:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5311) all_57_6 = e2
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5298), (5311) are inconsistent by sub-proof
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2233.
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5312) all_57_7 = e2 & op(e1, e2) = e2
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5312) implies:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5313) all_57_7 = e2
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5308), (5313) are inconsistent by sub-proof
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2102.
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5314) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_11 =
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5035), (5285), (5286), (5314),
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1189.
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5315) all_57_13 = e3 & op(e0, e2) = e3
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5315) implies:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5316) all_57_13 = e3
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5317) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_7 = e2
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5317) gives:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5318) all_57_6 = e2 & op(e1, e3) = e2
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5318) implies:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5319) all_57_6 = e2
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5298), (5319) are inconsistent by sub-proof
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2233.
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5320) all_57_7 = e2 & op(e1, e2) = e2
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5320) implies:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5321) all_57_7 = e2
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5322) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5322) gives:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5323) all_57_12 = e2 & op(e0, e3) = e2
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5292), (5323) are inconsistent by sub-proof
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2232.
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5324) all_57_13 = e2 & op(e0, e2) = e2
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5316), (5324) are inconsistent by sub-proof
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2146.
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5325) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5325) gives:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5326) all_57_14 = e2 & op(e0, e1) = e2
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5326) implies:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5327) all_57_14 = e2
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5328) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5328) gives:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5329) all_57_4 = e1 & op(e3, e1) = e1
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5329) implies:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5330) all_57_4 = e1
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5289), (5330) imply:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5331) e3 = e1
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5292), (5331) imply:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5332) all_57_12 = e1
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (234), (236), (5006),
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5298), (5332), (function-axioms) are inconsistent
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1205.
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5333) all_57_5 = e1 & op(e2, e1) = e1
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5333) implies:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5334) all_57_5 = e1
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5335) (all_57_12 = e1 & op(e0, e3) = e1) | (all_57_13 =
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5335) gives:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5336) all_57_12 = e1 & op(e0, e3) = e1
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5336) implies:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5337) all_57_12 = e1
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5292), (5337) are inconsistent by sub-proof
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2151.
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5338) all_57_13 = e1 & op(e0, e2) = e1
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5338) implies:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5339) all_57_13 = e1
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5316), (5339) are inconsistent by sub-proof
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2268.
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5340) (all_57_14 = e1 & op(e0, e1) = e1) | (all_57_15 =
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5340) gives:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5341) all_57_14 = e1 & op(e0, e1) = e1
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5341) implies:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5342) all_57_14 = e1
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (220), (5035), (5289), (5334),
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5342) are inconsistent by sub-proof #1187.
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5343) all_57_15 = e1 & op(e0, e0) = e1
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5343) implies:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5344) op(e0, e0) = e1
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5039), (5344), (function-axioms) are
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2290.
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5345) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (5036), (5327), (5345),
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2374.
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5346) all_57_15 = e2 & op(e0, e0) = e2
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5346) implies:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5347) all_57_15 = e2
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5038), (5347) imply:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5348) e2 = e0
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5321), (5348) imply:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5349) all_57_7 = e0
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (227), (228), (229),
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3970), (3971), (5316), (5349), (function-axioms)
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2199.
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5350) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_11 =
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5035), (5285), (5286), (5350),
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1189.
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5351) all_57_12 = e1 & op(e0, e3) = e1
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5351) implies:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5352) all_57_12 = e1
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5292), (5352) are inconsistent by sub-proof
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2151.
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5353) all_57_13 = e3 & op(e0, e2) = e3
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5353) implies:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5354) op(e0, e2) = e3
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_27,
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, e0, simplifying with (5053), (5354) gives:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5355) all_52_27 = e3
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5056), (5355) imply:
% 221.08/37.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5356) op(e3, e3) = e2
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5006), (5356), (function-axioms) are
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2403.
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5357) (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 =
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (211), (212),
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5006), (5052), (5055), (5234), (5357),
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1186.
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5358) all_57_5 = e3 & op(e2, e1) = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5358) implies:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5359) all_57_5 = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (223), (224), (3970),
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5182), (5359) are inconsistent by sub-proof
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1802.
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5360) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (39), (374), (5006), (5052), (5055), (5360),
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1933.
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5361) all_57_15 = e3 & op(e0, e0) = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5361) implies:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5362) op(e0, e0) = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5039), (5362), (function-axioms) are
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | (5363) all_57_3 = e3 & op(e2, e2) = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5363) implies:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | (5364) all_57_3 = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3970), (5364) are inconsistent by sub-proof
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | #2358.
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | (5365) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5365) gives:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | (5366) all_57_5 = e3 & op(e2, e1) = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5366) implies:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | (5367) all_57_5 = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | (5368) op(e2, e1) = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_9, e3,
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (166), (5368) gives:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | (5369) all_53_9 = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | (5370) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_1 = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5370) gives:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (5371) all_57_0 = e3 & op(e3, e3) = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5371) implies:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (5372) op(e3, e3) = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5006), (5372), (function-axioms) are
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2494.
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (5373) all_57_1 = e3 & op(e3, e2) = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5373) implies:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (5374) all_57_1 = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (5375) op(e3, e2) = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_4, e3,
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (171), (5375) gives:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (5376) all_53_4 = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (5376) imply:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (5377) ~ (all_53_12 = e3)
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5377) implies:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (5378) ~ (all_53_12 = e3)
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5379) (all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 =
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (169), (223), (224),
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3970), (5367), (5378), (5379), (function-axioms)
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1409.
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5380) (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 =
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5380) gives:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5381) all_57_11 = e3 & op(e1, e0) = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5381) implies:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5382) all_57_11 = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5383) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 =
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5383) gives:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5384) all_57_12 = e3 & op(e0, e3) = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5384) implies:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5385) all_57_12 = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5386) op(e0, e3) = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_25,
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, e0, simplifying with (5054), (5386) gives:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5387) all_52_25 = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (223), (224), (225),
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (234), (3970), (5057), (5067),
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5385), (5387), (function-axioms) are inconsistent
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1185.
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5388) all_57_13 = e3 & op(e0, e2) = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5388) implies:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5389) all_57_13 = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5390) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (3971), (5375), (5390),
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1184.
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5391) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5391) gives:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5392) all_57_7 = e2 & op(e1, e2) = e2
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5392) implies:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5393) all_57_7 = e2
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5394) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5394) gives:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5395) all_57_6 = e1 & op(e1, e3) = e1
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5395) implies:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5396) all_57_6 = e1
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5397) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_2 = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5397) gives:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5398) all_57_0 = e3 & op(e3, e3) = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5398) implies:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5399) op(e3, e3) = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5006), (5399), (function-axioms) are
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2494.
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5400) all_57_2 = e3 & op(e2, e3) = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5400) implies:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5401) all_57_2 = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (223), (224), (3970),
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5367), (5401) are inconsistent by sub-proof
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1802.
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5402) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_12 =
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5402) gives:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5403) all_57_6 = e3 & op(e1, e3) = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5403) implies:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5404) all_57_6 = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5396), (5404) imply:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5405) e3 = e1
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (229), (3970), (5374), (5389),
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5393), (5405) are inconsistent by sub-proof
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1183.
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5406) all_57_12 = e3 & op(e0, e3) = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5406) implies:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5407) all_57_12 = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5408) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5408) gives:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5409) all_57_1 = e1 & op(e3, e2) = e1
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (234), (236), (5006),
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5374), (5396), (5407), (5409), (function-axioms)
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1182.
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5410) all_57_3 = e1 & op(e2, e2) = e1
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5410) implies:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5411) op(e2, e2) = e1
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3971), (5411), (function-axioms) are
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5412) (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_13 =
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5412) gives:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5413) all_57_7 = e1 & op(e1, e2) = e1
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5413) implies:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5414) all_57_7 = e1
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5393), (5414) are inconsistent by sub-proof
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1761.
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5415) all_57_13 = e1 & op(e0, e2) = e1
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5415) implies:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5416) all_57_13 = e1
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5389), (5416) imply:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5417) e3 = e1
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5374), (5417) imply:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5418) all_57_1 = e1
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (228), (229), (3970),
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3971), (5416), (5418), (function-axioms) are
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1193.
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5419) all_57_7 = e1 & op(e1, e2) = e1
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5393), (5419) are inconsistent by sub-proof
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2190.
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5420) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5420) gives:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5421) all_57_8 = e1 & op(e1, e1) = e1
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5421) implies:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5422) op(e1, e1) = e1
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5036), (5422), (function-axioms) are
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2427.
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5423) all_57_11 = e1 & op(e1, e0) = e1
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5423) implies:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5424) all_57_11 = e1
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5382), (5424) imply:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5425) e3 = e1
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (229), (3970), (5374), (5389),
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5393), (5425) are inconsistent by sub-proof
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1183.
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5426) all_57_13 = e2 & op(e0, e2) = e2
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5426) implies:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5427) all_57_13 = e2
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5389), (5427) are inconsistent by sub-proof
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2203.
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5428) (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 =
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (211), (212),
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5006), (5052), (5055), (5382), (5428),
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1186.
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5429) all_57_15 = e3 & op(e0, e0) = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5429) implies:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5430) op(e0, e0) = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5039), (5430), (function-axioms) are
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | (5431) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_9 = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5431) gives:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (5432) all_57_4 = e3 & op(e3, e1) = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5432) implies:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (5433) all_57_4 = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (219), (220), (5035),
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (5036), (5367), (5433), (function-axioms) are
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1181.
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (5434) all_57_9 = e3 & op(e3, e0) = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5434) implies:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (5435) all_57_9 = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (5436) op(e3, e0) = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_12,
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e3, simplifying with (169), (5436) gives:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (5437) all_53_12 = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (5437) imply:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (5438) ~ (all_53_4 = e3)
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (5437) imply:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (5439) ~ (all_53_13 = e3)
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4993) gives:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5440) ~ (all_18_0 = e1) & op(all_18_1, e3) = all_18_0 &
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_18_1 & $i(all_18_0) &
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5440) implies:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5441) ~ (all_18_0 = e1)
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5442) op(e3, e0) = all_18_1
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5443) op(all_18_1, e3) = all_18_0
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5080) gives:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5444) ~ (all_48_0 = e2) & op(all_48_1, e3) = all_48_0 &
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_48_1 & $i(all_48_0) &
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5444) implies:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5445) ~ (all_48_0 = e2)
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5446) op(e3, e0) = all_48_1
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5447) op(all_48_1, e3) = all_48_0
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_48_1,
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (5436), (5446) gives:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5448) all_48_1 = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_1,
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_1, e0, e3, simplifying with (5442), (5446)
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5449) all_48_1 = all_18_1
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5448), (5449) imply:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5450) all_18_1 = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5450) implies:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5451) all_18_1 = e3
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5447), (5448) imply:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5452) op(e3, e3) = all_48_0
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5443), (5451) imply:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5453) op(e3, e3) = all_18_0
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_48_0,
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (5006), (5452) gives:
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5454) all_48_0 = e0
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_0,
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, e3, e3, simplifying with (5452), (5453)
% 221.08/37.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5455) all_48_0 = all_18_0
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5454), (5455) imply:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5456) all_18_0 = e0
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (111), (127), (137), (142),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (144), (161), (165), (168), (192), (193), (196),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (204), (208), (209), (210), (211), (212),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (230), (232), (234), (236),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (256), (257), (270), (3957), (3960), (3961),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3964), (3970), (3971), (4998), (5031), (5038),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5039), (5052), (5055), (5056), (5057), (5063),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5064), (5065), (5066), (5067), (5068), (5071),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5077), (5083), (5179), (5367), (5368), (5435),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5438), (5441), (5453), (5456), (function-axioms)
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1171.
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5457) ~ (all_48_1 = e1) & op(e3, e0) = all_48_1 &
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5457) implies:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5458) ~ (all_48_1 = e1)
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5459) op(e3, e0) = all_48_1
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_48_1,
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (5436), (5459) gives:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5460) all_48_1 = e3
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_1,
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_1, e0, e3, simplifying with (5442), (5459)
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5461) all_48_1 = all_18_1
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5460), (5461) imply:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5462) all_18_1 = e3
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5462) implies:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5463) all_18_1 = e3
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5443), (5463) imply:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5464) op(e3, e3) = all_18_0
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_18_0,
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (5006), (5464) gives:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5465) all_18_0 = e0
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (111), (127), (137), (142),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (144), (161), (165), (168), (192), (193), (196),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (204), (208), (209), (210), (211), (212),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (230), (232), (234), (236),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (256), (257), (270), (3957), (3960), (3961),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3964), (3970), (3971), (4998), (5031), (5038),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5039), (5052), (5055), (5056), (5057), (5063),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5064), (5065), (5066), (5067), (5068), (5071),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5077), (5083), (5179), (5367), (5368), (5435),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5438), (5441), (5464), (5465), (function-axioms)
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1171.
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5466) ~ (all_18_1 = e2) & op(e3, e0) = all_18_1 &
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5466) implies:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5467) ~ (all_18_1 = e2)
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5468) op(e3, e0) = all_18_1
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5080) gives:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5469) ~ (all_48_0 = e2) & op(all_48_1, e3) = all_48_0 &
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_48_1 & $i(all_48_0) &
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5469) implies:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5470) ~ (all_48_0 = e2)
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5471) op(e3, e0) = all_48_1
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5472) op(all_48_1, e3) = all_48_0
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_48_1,
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (5436), (5471) gives:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5473) all_48_1 = e3
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_1,
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_1, e0, e3, simplifying with (5468), (5471)
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5474) all_48_1 = all_18_1
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5473), (5474) imply:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5475) all_18_1 = e3
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5475) implies:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5476) all_18_1 = e3
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5472), (5473) imply:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5477) op(e3, e3) = all_48_0
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_48_0,
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (5006), (5477) gives:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5478) all_48_0 = e0
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (111), (127), (137),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (142), (144), (161), (165), (168), (192), (193),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (197), (204), (208), (209), (210), (211),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (223), (224), (225), (230), (232), (234),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (256), (257), (270), (3957), (3960),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3961), (3964), (3970), (3971), (4998), (5006),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5031), (5038), (5039), (5052), (5055), (5056),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5057), (5063), (5064), (5065), (5066), (5067),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5068), (5071), (5077), (5083), (5179), (5367),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5368), (5435), (5438), (5467), (5468), (5471),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1170.
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5479) ~ (all_48_1 = e1) & op(e3, e0) = all_48_1 &
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5479) implies:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5480) ~ (all_48_1 = e1)
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5481) op(e3, e0) = all_48_1
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_48_1,
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (5436), (5481) gives:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5482) all_48_1 = e3
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_1,
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_1, e0, e3, simplifying with (5468), (5481)
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5483) all_48_1 = all_18_1
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5482), (5483) imply:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5484) all_18_1 = e3
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5484) implies:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5485) all_18_1 = e3
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (111), (127), (137),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (142), (144), (161), (165), (168), (192), (193),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (197), (204), (208), (209), (210), (211),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (223), (224), (225), (230), (232), (234),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (256), (257), (270), (3957), (3960),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3961), (3964), (3970), (3971), (4998), (5006),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5031), (5038), (5039), (5052), (5055), (5056),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5057), (5063), (5064), (5065), (5066), (5067),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5068), (5071), (5077), (5083), (5179), (5367),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5368), (5435), (5438), (5467), (5468), (5481),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1170.
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | (5486) all_57_10 = e3 & op(e2, e0) = e3
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5486) implies:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | (5487) op(e2, e0) = e3
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (5179), (5487), (function-axioms) are
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2301.
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.51 | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.51 | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | End of split
% 221.08/37.51 | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | End of split
% 221.08/37.51 | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | Case 2:
% 221.08/37.51 | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | (5488) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 221.08/37.51 | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 221.08/37.51 | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 221.08/37.51 | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 221.08/37.51 | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 221.08/37.51 | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | ALPHA: (5488) implies:
% 221.08/37.51 | | | | | | | | | | | | | | | | (5489) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 221.08/37.51 | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 221.08/37.51 | | | | | | | | | | | | | | | | e1) = e0)
% 221.08/37.51 | | | | | | | | | | | | | | | | (5490) (all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 221.08/37.51 | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 & op(e1,
% 221.08/37.51 | | | | | | | | | | | | | | | | e0) = e0)
% 221.08/37.51 | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | BETA: splitting (5489) gives:
% 221.08/37.51 | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.51 | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | (5491) all_57_12 = e0 & op(e0, e3) = e0
% 221.08/37.51 | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | ALPHA: (5491) implies:
% 221.08/37.51 | | | | | | | | | | | | | | | | | (5492) op(e0, e3) = e0
% 221.08/37.51 | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (4999), (5492), (function-axioms) are
% 221.08/37.51 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2366.
% 221.08/37.51 | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.51 | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | (5493) (all_57_13 = e0 & op(e0, e2) = e0) | (all_57_14 =
% 221.08/37.51 | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 221.08/37.51 | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | BETA: splitting (5493) gives:
% 221.08/37.51 | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.51 | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | (5494) all_57_13 = e0 & op(e0, e2) = e0
% 221.08/37.51 | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | ALPHA: (5494) implies:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | (5495) op(e0, e2) = e0
% 221.08/37.51 | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (3962), (5495), (function-axioms) are
% 221.08/37.51 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2332.
% 221.08/37.51 | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.51 | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | (5496) all_57_14 = e0 & op(e0, e1) = e0
% 221.08/37.51 | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | ALPHA: (5496) implies:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | (5497) all_57_14 = e0
% 221.08/37.51 | | | | | | | | | | | | | | | | | | (5498) op(e0, e1) = e0
% 221.08/37.51 | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | BETA: splitting (5490) gives:
% 221.08/37.51 | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | (5499) all_57_9 = e0 & op(e3, e0) = e0
% 221.08/37.51 | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5001), (5499), (function-axioms) are
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2434.
% 221.08/37.51 | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | (5500) (all_57_10 = e0 & op(e2, e0) = e0) | (all_57_11 =
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 221.08/37.51 | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | BETA: splitting (5500) gives:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | (5501) all_57_10 = e0 & op(e2, e0) = e0
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | ALPHA: (5501) implies:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | (5502) op(e2, e0) = e0
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3964), (5502), (function-axioms) are
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2470.
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | (5503) all_57_11 = e0 & op(e1, e0) = e0
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | ALPHA: (5503) implies:
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | (5504) op(e1, e0) = e0
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (36), (39), (91), (107), (158),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | (161), (190), (208), (209), (210), (244), (295),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | (368), (372), (373), (378), (3971), (5006),
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | (5497), (5498), (5504), (function-axioms) are
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1226.
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.51 | | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.51 | | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | | End of split
% 221.08/37.51 | | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | | End of split
% 221.08/37.51 | | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | End of split
% 221.08/37.51 | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | Case 2:
% 221.08/37.51 | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | (5505) all_57_11 = e0 & op(e1, e0) = e0
% 221.08/37.51 | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | | REF_CLOSE: (161), (5031), (5505), (function-axioms) are
% 221.08/37.51 | | | | | | | | | | | | | | | inconsistent by sub-proof #2341.
% 221.08/37.51 | | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | | End of split
% 221.08/37.51 | | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | | End of split
% 221.08/37.51 | | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | End of split
% 221.08/37.51 | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | Case 2:
% 221.08/37.51 | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | (5506) all_57_1 = e0 & op(e3, e2) = e0
% 221.08/37.51 | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | ALPHA: (5506) implies:
% 221.08/37.51 | | | | | | | | | | | | (5507) op(e3, e2) = e0
% 221.08/37.51 | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | | REF_CLOSE: (171), (3960), (5507), (function-axioms) are
% 221.08/37.51 | | | | | | | | | | | | inconsistent by sub-proof #1941.
% 221.08/37.51 | | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | End of split
% 221.08/37.51 | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | Case 2:
% 221.08/37.51 | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | (5508) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 221.08/37.51 | | | | | | | | | | | & op(e3, e0) = e0)
% 221.08/37.51 | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | | REF_CLOSE: (169), (170), (5000), (5001), (5508),
% 221.08/37.51 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.51 | | | | | | | | | | | #1544.
% 221.08/37.51 | | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | | End of split
% 221.08/37.51 | | | | | | | | | |
% 221.08/37.51 | | | | | | | | | End of split
% 221.08/37.51 | | | | | | | | |
% 221.08/37.51 | | | | | | | | End of split
% 221.08/37.51 | | | | | | | |
% 221.08/37.51 | | | | | | | Case 2:
% 221.08/37.51 | | | | | | | |
% 221.08/37.51 | | | | | | | | (5509) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 = e0 &
% 221.08/37.51 | | | | | | | | op(e0, e2) = e0)
% 221.08/37.51 | | | | | | | |
% 221.08/37.51 | | | | | | | | REF_CLOSE: (159), (163), (3961), (3962), (5509),
% 221.08/37.51 | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.51 | | | | | | | | #2024.
% 221.08/37.51 | | | | | | | |
% 221.08/37.51 | | | | | | | End of split
% 221.08/37.51 | | | | | | |
% 221.08/37.51 | | | | | | End of split
% 221.08/37.51 | | | | | |
% 221.08/37.51 | | | | | Case 2:
% 221.08/37.51 | | | | | |
% 221.08/37.51 | | | | | | (5510) all_12_2 = e3
% 221.08/37.52 | | | | | | (5511) ( ~ (all_12_0 = e2) & op(all_12_1, e0) = all_12_0 & op(e0,
% 221.08/37.52 | | | | | | e3) = all_12_1 & $i(all_12_0) & $i(all_12_1)) | ( ~
% 221.08/37.52 | | | | | | (all_12_1 = e1) & op(e0, e3) = all_12_1 & $i(all_12_1))
% 221.08/37.52 | | | | | |
% 221.08/37.52 | | | | | | COMBINE_EQS: (325), (5510) imply:
% 221.08/37.52 | | | | | | (5512) all_4_2 = e3
% 221.08/37.52 | | | | | |
% 221.08/37.52 | | | | | | SIMP: (5512) implies:
% 221.08/37.52 | | | | | | (5513) all_4_2 = e3
% 221.08/37.52 | | | | | |
% 221.08/37.52 | | | | | | COMBINE_EQS: (318), (5513) imply:
% 221.08/37.52 | | | | | | (5514) all_22_2 = e3
% 221.08/37.52 | | | | | |
% 221.08/37.52 | | | | | | REDUCE: (351), (5513) imply:
% 221.08/37.52 | | | | | | (5515) ~ (all_53_3 = e3)
% 221.08/37.52 | | | | | |
% 221.08/37.52 | | | | | | REDUCE: (362), (5513) imply:
% 221.08/37.52 | | | | | | (5516) ~ (all_53_7 = e3)
% 221.08/37.52 | | | | | |
% 221.08/37.52 | | | | | | REDUCE: (369), (5513) imply:
% 221.08/37.52 | | | | | | (5517) ~ (all_53_11 = e3)
% 221.08/37.52 | | | | | |
% 221.08/37.52 | | | | | | REDUCE: (370), (5513) imply:
% 221.08/37.52 | | | | | | (5518) ~ (all_53_12 = e3)
% 221.08/37.52 | | | | | |
% 221.08/37.52 | | | | | | REDUCE: (371), (5513) imply:
% 221.08/37.52 | | | | | | (5519) ~ (all_53_13 = e3)
% 221.08/37.52 | | | | | |
% 221.08/37.52 | | | | | | REDUCE: (372), (5513) imply:
% 221.08/37.52 | | | | | | (5520) ~ (all_53_14 = e3)
% 221.08/37.52 | | | | | |
% 221.08/37.52 | | | | | | BETA: splitting (213) gives:
% 221.08/37.52 | | | | | |
% 221.08/37.52 | | | | | | Case 1:
% 221.08/37.52 | | | | | | |
% 221.08/37.52 | | | | | | | (5521) (all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 = e3 &
% 221.08/37.52 | | | | | | | op(e2, e0) = e3)
% 221.08/37.52 | | | | | | |
% 221.08/37.52 | | | | | | | REF_CLOSE: (165), (169), (5518), (5519), (5521), (function-axioms)
% 221.08/37.52 | | | | | | | are inconsistent by sub-proof #2300.
% 221.08/37.52 | | | | | | |
% 221.08/37.52 | | | | | | Case 2:
% 221.08/37.52 | | | | | | |
% 221.08/37.52 | | | | | | | (5522) (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 = e3 &
% 221.08/37.52 | | | | | | | op(e0, e0) = e3)
% 221.08/37.52 | | | | | | |
% 221.08/37.52 | | | | | | | BETA: splitting (5522) gives:
% 221.08/37.52 | | | | | | |
% 221.08/37.52 | | | | | | | Case 1:
% 221.08/37.52 | | | | | | | |
% 221.08/37.52 | | | | | | | | (5523) all_57_11 = e3 & op(e1, e0) = e3
% 221.08/37.52 | | | | | | | |
% 221.08/37.52 | | | | | | | | ALPHA: (5523) implies:
% 221.08/37.52 | | | | | | | | (5524) op(e1, e0) = e3
% 221.08/37.52 | | | | | | | |
% 221.08/37.52 | | | | | | | | REF_CLOSE: (161), (5520), (5524), (function-axioms) are
% 221.08/37.52 | | | | | | | | inconsistent by sub-proof #2330.
% 221.08/37.52 | | | | | | | |
% 221.08/37.52 | | | | | | | Case 2:
% 221.08/37.52 | | | | | | | |
% 221.08/37.52 | | | | | | | | (5525) all_57_15 = e3 & op(e0, e0) = e3
% 221.08/37.52 | | | | | | | |
% 221.08/37.52 | | | | | | | | ALPHA: (5525) implies:
% 221.08/37.52 | | | | | | | | (5526) all_57_15 = e3
% 221.08/37.52 | | | | | | | | (5527) op(e0, e0) = e3
% 221.08/37.52 | | | | | | | |
% 221.08/37.52 | | | | | | | | BETA: splitting (52) gives:
% 221.08/37.52 | | | | | | | |
% 221.08/37.52 | | | | | | | | Case 1:
% 221.08/37.52 | | | | | | | | |
% 221.08/37.52 | | | | | | | | | (5528) ~ (all_14_2 = e0)
% 221.08/37.52 | | | | | | | | |
% 221.08/37.52 | | | | | | | | | REDUCE: (328), (5528) imply:
% 221.08/37.52 | | | | | | | | | (5529) ~ (all_8_2 = e0)
% 221.08/37.52 | | | | | | | | |
% 221.08/37.52 | | | | | | | | | BETA: splitting (55) gives:
% 221.08/37.52 | | | | | | | | |
% 221.08/37.52 | | | | | | | | | Case 1:
% 221.08/37.52 | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | (5530) ~ (all_16_2 = e1)
% 221.08/37.52 | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | REDUCE: (324), (5530) imply:
% 221.08/37.52 | | | | | | | | | | (5531) ~ (all_8_2 = e1)
% 221.08/37.52 | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | BETA: splitting (200) gives:
% 221.08/37.52 | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | Case 1:
% 221.08/37.52 | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | (5532) all_55_5 = e3
% 221.08/37.52 | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | COMBINE_EQS: (266), (5532) imply:
% 221.08/37.52 | | | | | | | | | | | (5533) all_8_2 = e3
% 221.08/37.52 | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | REDUCE: (375), (5533) imply:
% 221.08/37.52 | | | | | | | | | | | (5534) $false
% 221.08/37.52 | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | CLOSE: (5534) is inconsistent.
% 221.08/37.52 | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | Case 2:
% 221.08/37.52 | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | (5535) ~ (all_55_5 = e3)
% 221.08/37.52 | | | | | | | | | | | (5536) all_55_5 = e2 | all_55_5 = e1 | all_55_5 = e0
% 221.08/37.52 | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | BETA: splitting (5536) gives:
% 221.08/37.52 | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | Case 1:
% 221.08/37.52 | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | (5537) all_55_5 = e2
% 221.08/37.52 | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | COMBINE_EQS: (266), (5537) imply:
% 221.08/37.52 | | | | | | | | | | | | (5538) all_8_2 = e2
% 221.08/37.52 | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | REDUCE: (349), (5538) imply:
% 221.08/37.52 | | | | | | | | | | | | (5539) ~ (all_53_1 = e2)
% 221.08/37.52 | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | REDUCE: (352), (5538) imply:
% 221.08/37.52 | | | | | | | | | | | | (5540) ~ (all_53_4 = e2)
% 221.08/37.52 | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | REDUCE: (354), (5538) imply:
% 221.08/37.52 | | | | | | | | | | | | (5541) ~ (all_53_6 = e2)
% 221.08/37.52 | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | REDUCE: (356), (5538) imply:
% 221.08/37.52 | | | | | | | | | | | | (5542) ~ (all_53_7 = e2)
% 221.08/37.52 | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | REDUCE: (358), (5538) imply:
% 221.08/37.52 | | | | | | | | | | | | (5543) ~ (all_53_9 = e2)
% 221.08/37.52 | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | REDUCE: (360), (5538) imply:
% 221.08/37.52 | | | | | | | | | | | | (5544) ~ (all_53_13 = e2)
% 221.08/37.52 | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | REDUCE: (375), (5538) imply:
% 221.08/37.52 | | | | | | | | | | | | (5545) ~ (e3 = e2)
% 221.08/37.52 | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | REDUCE: (42), (5538) imply:
% 221.08/37.52 | | | | | | | | | | | | (5546) op(e2, e2) = e2
% 221.08/37.52 | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | BETA: splitting (224) gives:
% 221.08/37.52 | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | Case 1:
% 221.08/37.52 | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | (5547) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 221.08/37.52 | | | | | | | | | | | | | & op(e2, e2) = e2)
% 221.08/37.52 | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | BETA: splitting (5547) gives:
% 221.08/37.52 | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | Case 1:
% 221.08/37.52 | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | (5548) all_57_2 = e2 & op(e2, e3) = e2
% 221.08/37.52 | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | ALPHA: (5548) implies:
% 221.08/37.52 | | | | | | | | | | | | | | (5549) all_57_2 = e2
% 221.08/37.52 | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (211), (212),
% 221.08/37.52 | | | | | | | | | | | | | | (222), (223), (225), (5526), (5527), (5546),
% 221.08/37.52 | | | | | | | | | | | | | | (5549), (function-axioms) are inconsistent by
% 221.08/37.52 | | | | | | | | | | | | | | sub-proof #1169.
% 221.08/37.52 | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | Case 2:
% 221.08/37.52 | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | (5550) all_57_3 = e2 & op(e2, e2) = e2
% 221.08/37.52 | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | ALPHA: (5550) implies:
% 221.08/37.52 | | | | | | | | | | | | | | (5551) all_57_3 = e2
% 221.08/37.52 | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (58),
% 221.08/37.52 | | | | | | | | | | | | | | (61), (64), (67), (82), (88), (103), (107), (111),
% 221.08/37.52 | | | | | | | | | | | | | | (113), (114), (119), (121), (124), (126), (127),
% 221.08/37.52 | | | | | | | | | | | | | | (129), (134), (135), (136), (137), (140), (141),
% 221.08/37.52 | | | | | | | | | | | | | | (142), (144), (145), (149), (150), (158), (159),
% 221.08/37.52 | | | | | | | | | | | | | | (160), (161), (163), (164), (165), (166), (168),
% 221.08/37.52 | | | | | | | | | | | | | | (169), (170), (171), (191), (192), (194), (195),
% 221.08/37.52 | | | | | | | | | | | | | | (196), (197), (198), (199), (201), (202), (203),
% 221.08/37.52 | | | | | | | | | | | | | | (204), (205), (207), (208), (209), (211), (212),
% 221.08/37.52 | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 221.08/37.52 | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 221.08/37.52 | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 221.08/37.52 | | | | | | | | | | | | | | (235), (236), (237), (245), (246), (248), (249),
% 221.08/37.52 | | | | | | | | | | | | | | (256), (257), (258), (259), (267), (268), (269),
% 221.08/37.52 | | | | | | | | | | | | | | (270), (277), (279), (299), (311), (315), (327),
% 221.08/37.52 | | | | | | | | | | | | | | (336), (338), (340), (342), (344), (346), (348),
% 221.08/37.52 | | | | | | | | | | | | | | (350), (361), (363), (364), (366), (368), (374),
% 221.08/37.52 | | | | | | | | | | | | | | (376), (5511), (5514), (5516), (5517), (5518),
% 221.08/37.52 | | | | | | | | | | | | | | (5519), (5520), (5526), (5527), (5539), (5540),
% 221.08/37.52 | | | | | | | | | | | | | | (5541), (5542), (5543), (5544), (5546), (5551),
% 221.08/37.52 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.52 | | | | | | | | | | | | | | #818.
% 221.08/37.52 | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | End of split
% 221.08/37.52 | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | Case 2:
% 221.08/37.52 | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | (5552) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 221.08/37.52 | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 221.08/37.52 | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | BETA: splitting (5552) gives:
% 221.08/37.52 | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | Case 1:
% 221.08/37.52 | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | (5553) all_57_5 = e2 & op(e2, e1) = e2
% 221.08/37.52 | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | ALPHA: (5553) implies:
% 221.08/37.52 | | | | | | | | | | | | | | (5554) all_57_5 = e2
% 221.08/37.52 | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 221.08/37.52 | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | Case 1:
% 221.08/37.52 | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | (5555) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 221.08/37.52 | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 221.08/37.52 | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | BETA: splitting (5555) gives:
% 221.08/37.52 | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | Case 1:
% 221.08/37.52 | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | (5556) all_57_4 = e3 & op(e3, e1) = e3
% 221.08/37.52 | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | ALPHA: (5556) implies:
% 221.08/37.52 | | | | | | | | | | | | | | | | (5557) all_57_4 = e3
% 221.08/37.52 | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 221.08/37.52 | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.52 | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | (5558) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 221.08/37.52 | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 221.08/37.52 | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | BETA: splitting (5558) gives:
% 221.08/37.52 | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.52 | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | (5559) all_57_2 = e3 & op(e2, e3) = e3
% 221.08/37.52 | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | ALPHA: (5559) implies:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | (5560) all_57_2 = e3
% 221.08/37.52 | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 221.08/37.52 | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | (5561) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 221.08/37.52 | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (5546), (5560), (5561),
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | #817.
% 221.08/37.52 | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | (5562) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 221.08/37.52 | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | BETA: splitting (5562) gives:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | (5563) all_57_5 = e0 & op(e2, e1) = e0
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | ALPHA: (5563) implies:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | (5564) all_57_5 = e0
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5554), (5564) are inconsistent by sub-proof
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | #2363.
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | (5565) all_57_10 = e0 & op(e2, e0) = e0
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | ALPHA: (5565) implies:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | (5566) all_57_10 = e0
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | (5567) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5567) gives:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | (5568) all_57_1 = e2 & op(e3, e2) = e2
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5568) implies:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | (5569) all_57_1 = e2
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | (5570) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5570) gives:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | (5571) all_57_1 = e3 & op(e3, e2) = e3
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5571) implies:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | (5572) all_57_1 = e3
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5569), (5572) imply:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | (5573) e3 = e2
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (211), (212),
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (225), (5526), (5527), (5546),
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | (5560), (5573), (function-axioms) are inconsistent
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #816.
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | (5574) all_57_3 = e3 & op(e2, e2) = e3
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5574) implies:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | (5575) op(e2, e2) = e3
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5546), (5575), (function-axioms) are
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2298.
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | (5576) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5576) gives:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | (5577) all_57_7 = e3 & op(e1, e2) = e3
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5577) implies:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | (5578) all_57_7 = e3
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | (5579) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5546), (5569), (5579), (function-axioms) are
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1133.
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | (5580) (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_13 =
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5580) gives:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (5581) all_57_7 = e1 & op(e1, e2) = e1
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5581) implies:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (5582) all_57_7 = e1
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5578), (5582) are inconsistent by sub-proof
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | #2115.
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (5583) all_57_13 = e1 & op(e0, e2) = e1
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5583) implies:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (5584) all_57_13 = e1
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5585) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5585) gives:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5586) all_57_0 = e1 & op(e3, e3) = e1
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5586) implies:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5587) all_57_0 = e1
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5588) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5588) gives:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5589) all_57_0 = e0 & op(e3, e3) = e0
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5589) implies:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5590) all_57_0 = e0
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5587), (5590) imply:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5591) e1 = e0
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5584), (5591) imply:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5592) all_57_13 = e0
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (227), (5546), (5569), (5578),
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5592), (function-axioms) are inconsistent by
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #871.
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5593) all_57_1 = e0 & op(e3, e2) = e0
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5569), (5593) are inconsistent by sub-proof
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1723.
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5594) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5594) gives:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5595) all_57_4 = e0 & op(e3, e1) = e0
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5557), (5595) are inconsistent by sub-proof
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2491.
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5596) all_57_9 = e0 & op(e3, e0) = e0
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5596) implies:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5597) all_57_9 = e0
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5598) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5598) gives:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5599) all_57_1 = e0 & op(e3, e2) = e0
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5569), (5599) are inconsistent by sub-proof
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1723.
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5600) all_57_3 = e0 & op(e2, e2) = e0
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5600) implies:
% 221.08/37.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5601) all_57_3 = e0
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5602) op(e2, e2) = e0
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5558) gives:
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (223), (5554), (5560), (5566),
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5602), (function-axioms) are inconsistent by
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #815.
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5603) all_57_3 = e3 & op(e2, e2) = e3
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5603) implies:
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5604) all_57_3 = e3
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5601), (5604) are inconsistent by sub-proof
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2358.
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5605) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5605) gives:
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5606) all_57_5 = e3 & op(e2, e1) = e3
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5606) implies:
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5607) all_57_5 = e3
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (223), (224), (5566),
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5601), (5607) are inconsistent by sub-proof
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1518.
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5608) all_57_10 = e3 & op(e2, e0) = e3
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5608) implies:
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5609) all_57_10 = e3
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (211), (212),
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5526), (5597), (5609) are inconsistent by
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1982.
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5610) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5610) gives:
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5611) all_57_7 = e0 & op(e1, e2) = e0
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5611) implies:
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5612) all_57_7 = e0
% 221.08/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5578), (5612) are inconsistent by sub-proof
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2269.
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5613) all_57_13 = e0 & op(e0, e2) = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5613) implies:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5614) all_57_13 = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (227), (5546), (5569), (5578),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5614), (function-axioms) are inconsistent by
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #871.
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5615) all_57_1 = e1 & op(e3, e2) = e1
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5569), (5615) are inconsistent by sub-proof
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2210.
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5616) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5616) gives:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5617) all_57_4 = e1 & op(e3, e1) = e1
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5617) implies:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5618) all_57_4 = e1
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5557), (5618) are inconsistent by sub-proof
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2426.
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5619) all_57_9 = e1 & op(e3, e0) = e1
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5619) implies:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5620) all_57_9 = e1
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5621) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5621) gives:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5622) all_57_0 = e0 & op(e3, e3) = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5622) implies:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5623) op(e3, e3) = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5624) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5624) gives:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5625) all_57_1 = e0 & op(e3, e2) = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5625) implies:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5626) all_57_1 = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (169), (235), (237), (5518),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5620), (5623), (5626), (function-axioms) are
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2400.
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5627) all_57_3 = e0 & op(e2, e2) = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5627) implies:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5628) op(e2, e2) = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (223), (5554), (5560), (5566),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5628), (function-axioms) are inconsistent by
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #815.
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5629) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5629) gives:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5630) all_57_7 = e0 & op(e1, e2) = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5630) implies:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5631) all_57_7 = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5578), (5631) imply:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5632) e3 = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5632) implies:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5633) e3 = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5557), (5633) imply:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5634) all_57_4 = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (169), (237), (5518), (5569), (5623),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5634), (function-axioms) are inconsistent by
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1405.
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5635) all_57_13 = e0 & op(e0, e2) = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5635) implies:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5636) all_57_13 = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (227), (5546), (5569), (5578),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5636), (function-axioms) are inconsistent by
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #871.
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5637) all_57_1 = e0 & op(e3, e2) = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5569), (5637) are inconsistent by sub-proof
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1723.
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5638) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5638) gives:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5639) all_57_4 = e0 & op(e3, e1) = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5639) implies:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5640) all_57_4 = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5557), (5640) are inconsistent by sub-proof
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2372.
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5641) all_57_9 = e0 & op(e3, e0) = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5641) implies:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5642) all_57_9 = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5620), (5642) imply:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5643) e1 = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5643) implies:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5644) e1 = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5584), (5644) imply:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5645) all_57_13 = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (227), (5546), (5569), (5578),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5645), (function-axioms) are inconsistent by
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #871.
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | (5646) all_57_13 = e3 & op(e0, e2) = e3
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5646) implies:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | (5647) all_57_13 = e3
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (208), (209),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | (5526), (5527), (5647), (function-axioms) are
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1792.
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | (5648) all_57_3 = e2 & op(e2, e2) = e2
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5648) implies:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | (5649) all_57_3 = e2
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (58),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | (61), (64), (67), (82), (88), (103), (107), (111),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | (113), (114), (119), (121), (124), (126), (127),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | (129), (134), (135), (136), (137), (140), (141),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | (142), (144), (145), (149), (150), (158), (159),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | (160), (161), (163), (164), (165), (166), (168),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | (169), (170), (171), (191), (192), (194), (195),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | (196), (197), (198), (199), (201), (202), (203),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | (204), (205), (207), (208), (209), (211), (212),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | (235), (236), (237), (245), (246), (248), (249),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | (256), (257), (258), (259), (267), (268), (269),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | (270), (277), (279), (299), (311), (315), (327),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | (336), (338), (340), (342), (344), (346), (348),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | (350), (361), (363), (364), (366), (368), (374),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | (376), (5511), (5514), (5516), (5517), (5518),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | (5519), (5520), (5526), (5527), (5539), (5540),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | (5541), (5542), (5543), (5544), (5546), (5649),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | #818.
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | (5650) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5650) gives:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | (5651) all_57_7 = e2 & op(e1, e2) = e2
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5651) implies:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | (5652) all_57_7 = e2
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | (5653) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5653) gives:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | (5654) all_57_6 = e3 & op(e1, e3) = e3
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5654) implies:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | (5655) all_57_6 = e3
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | (5656) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5656) gives:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (5657) all_57_1 = e3 & op(e3, e2) = e3
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5657) implies:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (5658) all_57_1 = e3
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5659) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5659) gives:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5660) all_57_0 = e1 & op(e3, e3) = e1
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5660) implies:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5661) all_57_0 = e1
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (231), (235), (5557),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5658), (5661) are inconsistent by sub-proof
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1808.
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5662) all_57_1 = e1 & op(e3, e2) = e1
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5662) implies:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5663) all_57_1 = e1
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5658), (5663) imply:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5664) e3 = e1
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5655), (5664) imply:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5665) all_57_6 = e1
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (226), (227), (228), (374), (5526),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5546), (5658), (5665), (function-axioms) are
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1071.
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5666) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5666) gives:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5667) all_57_4 = e1 & op(e3, e1) = e1
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5667) implies:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5668) all_57_4 = e1
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5557), (5668) imply:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5669) e3 = e1
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5669) implies:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5670) e3 = e1
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5655), (5670) imply:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5671) all_57_6 = e1
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (226), (227), (228), (374), (5526),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5546), (5658), (5671), (function-axioms) are
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1071.
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5672) all_57_9 = e1 & op(e3, e0) = e1
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5672) implies:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5673) all_57_9 = e1
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5674) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5674) gives:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5675) all_57_0 = e0 & op(e3, e3) = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5675) implies:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5676) op(e3, e3) = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (235),
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5557), (5658), (5676), (function-axioms) are
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1220.
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5677) all_57_1 = e0 & op(e3, e2) = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5677) implies:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5678) all_57_1 = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5658), (5678) imply:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5679) e3 = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5655), (5679) imply:
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5680) all_57_6 = e0
% 221.68/37.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (374), (5526), (5652), (5680),
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1775.
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5681) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5681) gives:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5682) all_57_4 = e0 & op(e3, e1) = e0
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5682) implies:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5683) all_57_4 = e0
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5557), (5683) imply:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5684) e3 = e0
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5684) implies:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5685) e3 = e0
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5655), (5685) imply:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5686) all_57_6 = e0
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (374), (5526), (5652), (5686),
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1775.
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5687) all_57_9 = e0 & op(e3, e0) = e0
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5687) implies:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5688) all_57_9 = e0
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5673), (5688) are inconsistent by sub-proof
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2479.
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (5689) all_57_3 = e3 & op(e2, e2) = e3
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5689) implies:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (5690) op(e2, e2) = e3
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5546), (5690), (function-axioms) are
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2298.
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | (5691) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5691) gives:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (5692) all_57_7 = e3 & op(e1, e2) = e3
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5692) implies:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (5693) all_57_7 = e3
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5652), (5693) imply:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (5694) e3 = e2
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5560), (5694) imply:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (5695) all_57_2 = e2
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (211), (212),
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (225), (5526), (5527), (5546),
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (5695), (function-axioms) are inconsistent by
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1169.
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (5696) all_57_13 = e3 & op(e0, e2) = e3
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5696) implies:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (5697) all_57_13 = e3
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (208), (209),
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (5526), (5527), (5697), (function-axioms) are
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1792.
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | (5698) all_57_7 = e3 & op(e1, e2) = e3
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5698) implies:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | (5699) all_57_7 = e3
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5652), (5699) imply:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | (5700) e3 = e2
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (211), (212),
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (225), (5526), (5527), (5546),
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | (5560), (5700), (function-axioms) are inconsistent
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #816.
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | (5701) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (39), (211), (212),
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | (374), (5526), (5566), (5701), (function-axioms)
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #978.
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | (5702) all_57_13 = e2 & op(e0, e2) = e2
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5702) implies:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | (5703) op(e0, e2) = e2
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (5542), (5703), (function-axioms) are
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2335.
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.54 | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.54 | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.54 | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | (5704) all_57_3 = e3 & op(e2, e2) = e3
% 221.68/37.54 | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | ALPHA: (5704) implies:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | (5705) op(e2, e2) = e3
% 221.68/37.54 | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5546), (5705), (function-axioms) are
% 221.68/37.54 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2298.
% 221.68/37.54 | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | End of split
% 221.68/37.54 | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.54 | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | (5706) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 221.68/37.54 | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 221.68/37.54 | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (211), (212),
% 221.68/37.54 | | | | | | | | | | | | | | | | | (5526), (5527), (5554), (5706), (function-axioms)
% 221.68/37.54 | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1745.
% 221.68/37.54 | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | End of split
% 221.68/37.54 | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | Case 2:
% 221.68/37.54 | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | (5707) all_57_5 = e3 & op(e2, e1) = e3
% 221.68/37.54 | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | ALPHA: (5707) implies:
% 221.68/37.54 | | | | | | | | | | | | | | | | (5708) all_57_5 = e3
% 221.68/37.54 | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5554), (5708) are inconsistent by sub-proof
% 221.68/37.54 | | | | | | | | | | | | | | | | #2189.
% 221.68/37.54 | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | End of split
% 221.68/37.54 | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | Case 2:
% 221.68/37.54 | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | (5709) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 221.68/37.54 | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 221.68/37.54 | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (208),
% 221.68/37.54 | | | | | | | | | | | | | | | (209), (374), (5526), (5709), (function-axioms)
% 221.68/37.54 | | | | | | | | | | | | | | | are inconsistent by sub-proof #1794.
% 221.68/37.54 | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | End of split
% 221.68/37.54 | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | Case 2:
% 221.68/37.54 | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | (5710) all_57_10 = e2 & op(e2, e0) = e2
% 221.68/37.54 | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | REF_CLOSE: (165), (5544), (5710), (function-axioms) are
% 221.68/37.54 | | | | | | | | | | | | | | inconsistent by sub-proof #2432.
% 221.68/37.54 | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | End of split
% 221.68/37.54 | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | End of split
% 221.68/37.54 | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | Case 2:
% 221.68/37.54 | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | (5711) all_55_5 = e1 | all_55_5 = e0
% 221.68/37.54 | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | REF_CLOSE: (266), (5529), (5531), (5711) are inconsistent by
% 221.68/37.54 | | | | | | | | | | | | sub-proof #1857.
% 221.68/37.54 | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | End of split
% 221.68/37.54 | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | End of split
% 221.68/37.54 | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | Case 2:
% 221.68/37.54 | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | (5712) all_16_2 = e1
% 221.68/37.54 | | | | | | | | | | (5713) ( ~ (all_16_0 = e0) & op(all_16_1, e2) = all_16_0
% 221.68/37.54 | | | | | | | | | | & op(e2, e1) = all_16_1 & $i(all_16_0) &
% 221.68/37.54 | | | | | | | | | | $i(all_16_1)) | ( ~ (all_16_1 = e3) & op(e2, e1)
% 221.68/37.54 | | | | | | | | | | = all_16_1 & $i(all_16_1))
% 221.68/37.54 | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | COMBINE_EQS: (324), (5712) imply:
% 221.68/37.54 | | | | | | | | | | (5714) all_8_2 = e1
% 221.68/37.54 | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | SIMP: (5714) implies:
% 221.68/37.54 | | | | | | | | | | (5715) all_8_2 = e1
% 221.68/37.54 | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | COMBINE_EQS: (305), (5715) imply:
% 221.68/37.54 | | | | | | | | | | (5716) all_26_2 = e1
% 221.68/37.54 | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | REDUCE: (349), (5715) imply:
% 221.68/37.54 | | | | | | | | | | (5717) ~ (all_53_1 = e1)
% 221.68/37.54 | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | REDUCE: (352), (5715) imply:
% 221.68/37.54 | | | | | | | | | | (5718) ~ (all_53_4 = e1)
% 221.68/37.54 | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | REDUCE: (354), (5715) imply:
% 221.68/37.54 | | | | | | | | | | (5719) ~ (all_53_6 = e1)
% 221.68/37.54 | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | REDUCE: (358), (5715) imply:
% 221.68/37.54 | | | | | | | | | | (5720) ~ (all_53_9 = e1)
% 221.68/37.54 | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | REDUCE: (360), (5715) imply:
% 221.68/37.54 | | | | | | | | | | (5721) ~ (all_53_13 = e1)
% 221.68/37.54 | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | REDUCE: (375), (5715) imply:
% 221.68/37.54 | | | | | | | | | | (5722) ~ (e3 = e1)
% 221.68/37.54 | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | REDUCE: (42), (5715) imply:
% 221.68/37.54 | | | | | | | | | | (5723) op(e2, e2) = e1
% 221.68/37.54 | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | BETA: splitting (223) gives:
% 221.68/37.54 | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | Case 1:
% 221.68/37.54 | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | (5724) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 221.68/37.54 | | | | | | | | | | | & op(e2, e2) = e1)
% 221.68/37.54 | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | BETA: splitting (5724) gives:
% 221.68/37.54 | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | Case 1:
% 221.68/37.54 | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | (5725) all_57_2 = e1 & op(e2, e3) = e1
% 221.68/37.54 | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | ALPHA: (5725) implies:
% 221.68/37.54 | | | | | | | | | | | | (5726) all_57_2 = e1
% 221.68/37.54 | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (211), (212),
% 221.68/37.54 | | | | | | | | | | | | (222), (224), (225), (5526), (5527), (5723),
% 221.68/37.54 | | | | | | | | | | | | (5726), (function-axioms) are inconsistent by
% 221.68/37.54 | | | | | | | | | | | | sub-proof #814.
% 221.68/37.54 | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | Case 2:
% 221.68/37.54 | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | (5727) all_57_3 = e1 & op(e2, e2) = e1
% 221.68/37.54 | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | ALPHA: (5727) implies:
% 221.68/37.54 | | | | | | | | | | | | (5728) all_57_3 = e1
% 221.68/37.54 | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | BETA: splitting (58) gives:
% 221.68/37.54 | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | Case 1:
% 221.68/37.54 | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | (5729) ~ (all_18_2 = e0)
% 221.68/37.54 | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | REDUCE: (327), (5729) imply:
% 221.68/37.54 | | | | | | | | | | | | | (5730) ~ (all_10_2 = e0)
% 221.68/37.54 | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | BETA: splitting (61) gives:
% 221.68/37.54 | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | Case 1:
% 221.68/37.54 | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | (5731) ~ (all_20_2 = e2)
% 221.68/37.54 | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | REDUCE: (299), (5731) imply:
% 221.68/37.54 | | | | | | | | | | | | | | (5732) ~ (all_10_2 = e2)
% 221.68/37.54 | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 221.68/37.54 | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | Case 1:
% 221.68/37.54 | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | (5733) all_55_0 = e3
% 221.68/37.54 | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | COMBINE_EQS: (277), (5733) imply:
% 221.68/37.54 | | | | | | | | | | | | | | | (5734) all_10_2 = e3
% 221.68/37.54 | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | REDUCE: (45), (5734) imply:
% 221.68/37.54 | | | | | | | | | | | | | | | (5735) op(e3, e3) = e3
% 221.68/37.54 | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (70), (107),
% 221.68/37.54 | | | | | | | | | | | | | | | (137), (163), (166), (171), (204), (207), (208),
% 221.68/37.54 | | | | | | | | | | | | | | | (209), (211), (212), (217), (221), (222), (223),
% 221.68/37.54 | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 221.68/37.54 | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (270),
% 221.68/37.54 | | | | | | | | | | | | | | | (374), (5526), (5527), (5713), (5716), (5718),
% 221.68/37.54 | | | | | | | | | | | | | | | (5720), (5723), (5728), (5735), (function-axioms)
% 221.68/37.54 | | | | | | | | | | | | | | | are inconsistent by sub-proof #1732.
% 221.68/37.54 | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | Case 2:
% 221.68/37.54 | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | (5736) all_55_0 = e2 | all_55_0 = e1 | all_55_0 = e0
% 221.68/37.54 | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | REF_CLOSE: (277), (376), (5730), (5732), (5736) are
% 221.68/37.54 | | | | | | | | | | | | | | | inconsistent by sub-proof #1953.
% 221.68/37.54 | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | End of split
% 221.68/37.54 | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | Case 2:
% 221.68/37.54 | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | (5737) all_20_2 = e2
% 221.68/37.54 | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | COMBINE_EQS: (299), (5737) imply:
% 221.68/37.54 | | | | | | | | | | | | | | (5738) all_10_2 = e2
% 221.68/37.54 | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | SIMP: (5738) implies:
% 221.68/37.54 | | | | | | | | | | | | | | (5739) all_10_2 = e2
% 221.68/37.54 | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | REDUCE: (340), (5739) imply:
% 221.68/37.54 | | | | | | | | | | | | | | (5740) ~ (all_53_2 = e2)
% 221.68/37.54 | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | REDUCE: (348), (5739) imply:
% 221.68/37.54 | | | | | | | | | | | | | | (5741) ~ (all_53_12 = e2)
% 221.68/37.54 | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | REDUCE: (45), (5739) imply:
% 221.68/37.54 | | | | | | | | | | | | | | (5742) op(e3, e3) = e2
% 221.68/37.54 | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 221.68/37.54 | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | Case 1:
% 221.68/37.54 | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | (5743) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 221.68/37.54 | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 221.68/37.54 | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | BETA: splitting (5743) gives:
% 221.68/37.54 | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | Case 1:
% 221.68/37.54 | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | (5744) all_57_0 = e2 & op(e3, e3) = e2
% 221.68/37.54 | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | ALPHA: (5744) implies:
% 221.68/37.54 | | | | | | | | | | | | | | | | (5745) all_57_0 = e2
% 221.68/37.54 | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 221.68/37.54 | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.54 | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | (5746) ~ (all_22_2 = e3)
% 221.68/37.54 | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | REDUCE: (5514), (5746) imply:
% 221.68/37.54 | | | | | | | | | | | | | | | | | (5747) $false
% 221.68/37.54 | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | CLOSE: (5747) is inconsistent.
% 221.68/37.54 | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.54 | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | (5748) ( ~ (all_22_0 = e1) & op(all_22_1, e0) = all_22_0
% 221.68/37.54 | | | | | | | | | | | | | | | | | & op(e0, e3) = all_22_1 & $i(all_22_0) &
% 221.68/37.54 | | | | | | | | | | | | | | | | | $i(all_22_1)) | ( ~ (all_22_1 = e2) & op(e0, e3)
% 221.68/37.54 | | | | | | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 221.68/37.54 | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 221.68/37.54 | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.54 | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | (5749) ~ (all_24_2 = e0)
% 221.68/37.54 | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | REDUCE: (315), (5749) imply:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | (5750) ~ (all_6_2 = e0)
% 221.68/37.54 | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 221.68/37.54 | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | (5751) ~ (all_38_2 = e2)
% 221.68/37.54 | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | REDUCE: (249), (5751) imply:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | (5752) ~ (all_6_2 = e2)
% 221.68/37.54 | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | (5753) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5753) gives:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | (5754) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5754) implies:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | (5755) op(e3, e0) = all_52_7
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | (5756) op(all_52_7, all_52_7) = e0
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | (5757) all_55_10 = e3
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (374), (5757) are inconsistent by sub-proof
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | #2500.
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | (5758) ~ (all_55_10 = e3)
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | (5759) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5759) gives:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | (5760) all_55_10 = e2
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (5752), (5760) are inconsistent by
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2499.
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | (5761) ~ (all_55_10 = e2)
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | (5762) all_55_10 = e1 | all_55_10 = e0
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5762) gives:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | (5763) all_55_10 = e1
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (5763) imply:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | (5764) all_6_2 = e1
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5764) implies:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | (5765) all_6_2 = e1
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5752), (5765) imply:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | (5766) ~ (e2 = e1)
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (5765) imply:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | (5767) op(e1, e1) = e1
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | (5768) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (228), (229),
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5742), (5768), (function-axioms) are
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1677.
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | (5769) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5769) gives:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (5770) all_57_4 = e1 & op(e3, e1) = e1
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5770) implies:
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (5771) all_57_4 = e1
% 221.68/37.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (214), (215), (216), (217), (218),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (225), (226),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (245), (247), (257),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (259), (267), (374), (5511), (5515), (5517),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5519), (5526), (5527), (5717), (5720),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5728), (5740), (5742), (5745), (5748),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (5767), (5771), (function-axioms) are inconsistent
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #715.
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (5772) all_57_9 = e1 & op(e3, e0) = e1
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5772) implies:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (5773) all_57_9 = e1
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (5774) op(e3, e0) = e1
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (207),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (211), (212), (214), (215), (216),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (220), (221), (222), (223), (224), (225),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (374), (5511),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5526), (5527), (5723), (5728), (5742),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (5745), (5748), (5755), (5756), (5767), (5773),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (5774), (function-axioms) are inconsistent by
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #687.
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | (5775) all_55_10 = e0
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (5750), (5775) are inconsistent by
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2118.
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | (5776) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5776) implies:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | (5777) op(e2, e2) = all_52_11
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | (5778) op(all_52_11, all_52_11) = e2
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | (5779) all_55_10 = e3
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (374), (5779) are inconsistent by sub-proof
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | #2500.
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | (5780) ~ (all_55_10 = e3)
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | (5781) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5781) gives:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | (5782) all_55_10 = e2
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (5752), (5782) are inconsistent by
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2499.
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | (5783) ~ (all_55_10 = e2)
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | (5784) all_55_10 = e1 | all_55_10 = e0
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5784) gives:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | (5785) all_55_10 = e1
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (5785) imply:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | (5786) all_6_2 = e1
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5786) implies:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | (5787) all_6_2 = e1
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5752), (5787) imply:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | (5788) ~ (e2 = e1)
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (5787) imply:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | (5789) op(e1, e1) = e1
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (214), (215), (216), (217), (218),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (225), (226),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (245), (247), (257),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | (259), (267), (374), (5511), (5515), (5517),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5519), (5526), (5527), (5717), (5720),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5728), (5740), (5741), (5742), (5745),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | (5748), (5777), (5778), (5789), (function-axioms)
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #672.
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | (5790) all_55_10 = e0
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (5750), (5790) are inconsistent by
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2118.
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | (5791) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5791) gives:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | (5792) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5792) implies:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | (5793) op(e1, e0) = all_52_23
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | (5794) op(all_52_23, all_52_23) = e0
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | (5795) all_55_10 = e3
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (374), (5795) are inconsistent by sub-proof
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | #2500.
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | (5796) ~ (all_55_10 = e3)
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | (5797) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5797) gives:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | (5798) all_55_10 = e2
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (5752), (5798) are inconsistent by
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2499.
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | (5799) ~ (all_55_10 = e2)
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | (5800) all_55_10 = e1 | all_55_10 = e0
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5800) gives:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | (5801) all_55_10 = e1
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (5801) imply:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | (5802) all_6_2 = e1
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5802) implies:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | (5803) all_6_2 = e1
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (5803) imply:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | (5804) ~ (all_53_14 = e1)
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5752), (5803) imply:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | (5805) ~ (e2 = e1)
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (5803) imply:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | (5806) op(e1, e1) = e1
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | (5807) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (228), (229),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5742), (5807), (function-axioms) are
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1677.
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | (5808) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5808) gives:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (5809) all_57_4 = e1 & op(e3, e1) = e1
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5809) implies:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (5810) all_57_4 = e1
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (214), (215), (216), (217), (218),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (225), (226),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (245), (247), (257),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (259), (267), (374), (5511), (5515), (5517),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5519), (5526), (5527), (5717), (5720),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5728), (5740), (5742), (5745), (5748),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (5806), (5810), (function-axioms) are inconsistent
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #715.
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (5811) all_57_9 = e1 & op(e3, e0) = e1
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5811) implies:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (5812) all_57_9 = e1
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5813) (all_57_12 = e1 & op(e0, e3) = e1) | (all_57_13 =
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5813) gives:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5814) all_57_12 = e1 & op(e0, e3) = e1
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5814) implies:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5815) op(e0, e3) = e1
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (161), (194), (248), (5511), (5520),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527), (5748), (5793), (5794), (5804), (5815),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #859.
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5816) all_57_13 = e1 & op(e0, e2) = e1
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5816) implies:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5817) all_57_13 = e1
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5818) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (207), (208),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (223), (224), (225), (226), (228), (229),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (237), (5518), (5526), (5527),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5728), (5742), (5817), (5818),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #704.
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5819) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5819) gives:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5820) all_57_6 = e1 & op(e1, e3) = e1
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5820) implies:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5821) all_57_6 = e1
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (207),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (217), (226), (227), (228), (231),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (237), (374), (5518), (5526), (5723),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5728), (5742), (5817), (5821), (function-axioms)
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #797.
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5822) all_57_12 = e1 & op(e0, e3) = e1
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5822) implies:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5823) op(e0, e3) = e1
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (161), (194), (248), (5511), (5520),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527), (5748), (5793), (5794), (5804), (5823),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #859.
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5824) (all_57_14 = e1 & op(e0, e1) = e1) | (all_57_15 =
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5824) gives:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5825) all_57_14 = e1 & op(e0, e1) = e1
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5825) implies:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5826) all_57_14 = e1
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5827) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (207),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (212), (220), (221), (223), (224),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (231), (237), (374), (5518), (5526),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527), (5723), (5728), (5742), (5806), (5812),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5826), (5827), (function-axioms) are inconsistent
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #698.
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5828) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5828) gives:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5829) all_57_6 = e1 & op(e1, e3) = e1
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (207),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (211), (212), (214), (217), (220),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (237), (374), (5518), (5526),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527), (5723), (5728), (5742), (5745), (5806),
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5812), (5826), (5829), (function-axioms) are
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #693.
% 221.68/37.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5830) all_57_12 = e1 & op(e0, e3) = e1
% 221.68/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5830) implies:
% 221.68/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5831) op(e0, e3) = e1
% 221.68/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (161), (194), (248), (5511), (5520),
% 221.68/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527), (5748), (5793), (5794), (5804), (5831),
% 221.68/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.68/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #859.
% 221.68/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.68/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.68/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5832) all_57_15 = e1 & op(e0, e0) = e1
% 221.68/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.68/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5832) implies:
% 221.68/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5833) op(e0, e0) = e1
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5527), (5833), (function-axioms) are
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2183.
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | (5834) all_55_10 = e0
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (5750), (5834) are inconsistent by
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2118.
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | (5835) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5835) implies:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | (5836) op(e0, e0) = all_52_31
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | (5837) op(all_52_31, all_52_31) = e0
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | (5838) all_55_10 = e3
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (374), (5838) are inconsistent by sub-proof
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | #2500.
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | (5839) ~ (all_55_10 = e3)
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | (5840) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5840) gives:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | (5841) all_55_10 = e2
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (5752), (5841) are inconsistent by
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2499.
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | (5842) ~ (all_55_10 = e2)
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | (5843) all_55_10 = e1 | all_55_10 = e0
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5843) gives:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | (5844) all_55_10 = e1
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (5844) imply:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | (5845) all_6_2 = e1
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5845) implies:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | (5846) all_6_2 = e1
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5752), (5846) imply:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | (5847) ~ (e2 = e1)
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (5846) imply:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | (5848) op(e1, e1) = e1
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (214), (215), (216), (217), (218),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (225), (226),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (245), (247), (257),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | (259), (267), (374), (5511), (5515), (5517),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5519), (5526), (5527), (5717), (5720),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5728), (5740), (5742), (5745), (5748),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | (5836), (5837), (5848), (function-axioms) are
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #670.
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | (5849) all_55_10 = e0
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (5750), (5849) are inconsistent by
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2118.
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.56 | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | (5850) all_38_2 = e2
% 221.79/37.56 | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (5850) imply:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | (5851) all_6_2 = e2
% 221.79/37.56 | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | REDUCE: (374), (5851) imply:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | (5852) ~ (e3 = e2)
% 221.79/37.56 | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | REDUCE: (39), (5851) imply:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | (5853) op(e1, e1) = e2
% 221.79/37.56 | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | (211), (212), (214), (215), (216), (217), (218),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (245), (247),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | (257), (259), (267), (374), (5511), (5515),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | (5517), (5518), (5519), (5526), (5527), (5717),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | (5720), (5723), (5728), (5740), (5742), (5745),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | (5748), (5853), (function-axioms) are inconsistent
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | by sub-proof #655.
% 221.79/37.56 | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.56 | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.56 | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | (5854) all_24_2 = e0
% 221.79/37.56 | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (315), (5854) imply:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | (5855) all_6_2 = e0
% 221.79/37.56 | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | SIMP: (5855) implies:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | (5856) all_6_2 = e0
% 221.79/37.56 | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | REDUCE: (374), (5856) imply:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | (5857) ~ (e3 = e0)
% 221.79/37.56 | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | REDUCE: (39), (5856) imply:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | (5858) op(e1, e1) = e0
% 221.79/37.56 | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 221.79/37.56 | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | (5859) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 221.79/37.56 | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | BETA: splitting (5859) gives:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | (5860) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | ALPHA: (5860) implies:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | (5861) op(e3, e0) = all_52_7
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | (5862) op(e3, e3) = all_52_1
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | (5863) op(all_52_7, all_52_7) = e0
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | (5864) op(all_52_1, all_52_1) = e3
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | (5865) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5865) gives:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | (5866) all_57_6 = e0 & op(e1, e3) = e0
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5866) implies:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | (5867) all_57_6 = e0
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | (5868) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_2 = e3
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5868) gives:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | (5869) all_57_0 = e3 & op(e3, e3) = e3
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5869) implies:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | (5870) op(e3, e3) = e3
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5742), (5870), (function-axioms) are
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2490.
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | (5871) all_57_2 = e3 & op(e2, e3) = e3
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5871) implies:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | (5872) all_57_2 = e3
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | (5873) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5873) gives:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (5874) all_57_6 = e3 & op(e1, e3) = e3
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5874) implies:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (5875) all_57_6 = e3
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (232), (234),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (5745), (5872), (5875), (function-axioms) are
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1286.
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (5876) all_57_7 = e3 & op(e1, e2) = e3
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5876) implies:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (5877) all_57_7 = e3
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5878) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (5867), (5877), (5878) are inconsistent
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #654.
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5879) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5879) gives:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5880) all_57_8 = e1 & op(e1, e1) = e1
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5880) implies:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5881) op(e1, e1) = e1
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5858), (5881), (function-axioms) are
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2427.
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5882) all_57_11 = e1 & op(e1, e0) = e1
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5882) implies:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5883) all_57_11 = e1
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5884) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5884) gives:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5885) all_57_9 = e2 & op(e3, e0) = e2
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5885) implies:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5886) all_57_9 = e2
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (207),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (221), (223), (224), (226), (228),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (237), (374), (5518), (5526),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527), (5723), (5728), (5742), (5877), (5883),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5886), (function-axioms) are inconsistent by
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #653.
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5887) all_57_10 = e2 & op(e2, e0) = e2
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5887) implies:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5888) all_57_10 = e2
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5889) op(e2, e0) = e2
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (191), (193),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (199), (201), (207), (208), (209), (211),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (221), (222), (228), (231), (233),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (247), (257), (259), (267), (374), (5515),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5517), (5519), (5526), (5527), (5717), (5720),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5740), (5742), (5862), (5864), (5867),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5872), (5888), (5889), (function-axioms) are
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #648.
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5890) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (223), (224), (225), (230), (232),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (5511), (5526), (5527), (5723), (5728),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5742), (5748), (5867), (5872), (5877), (5890),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #646.
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | (5891) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | (212), (374), (5526), (5891), (function-axioms)
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1786.
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | (5892) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_12 =
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5892) gives:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | (5893) all_57_6 = e3 & op(e1, e3) = e3
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5893) implies:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | (5894) all_57_6 = e3
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5867), (5894) are inconsistent by sub-proof
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | #1822.
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | (5895) all_57_12 = e3 & op(e0, e3) = e3
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5895) implies:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | (5896) all_57_12 = e3
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | (5897) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5897) gives:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (5898) all_57_6 = e3 & op(e1, e3) = e3
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5898) implies:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (5899) all_57_6 = e3
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5867), (5899) are inconsistent by sub-proof
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | #1822.
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (5900) all_57_7 = e3 & op(e1, e2) = e3
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5900) implies:
% 221.79/37.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (5901) all_57_7 = e3
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5902) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (5728), (5742), (5867), (5896), (5901),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5902), (function-axioms) are inconsistent by
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #645.
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5903) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5903) gives:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5904) all_57_8 = e1 & op(e1, e1) = e1
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5904) implies:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5905) op(e1, e1) = e1
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5858), (5905), (function-axioms) are
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2427.
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5906) all_57_11 = e1 & op(e1, e0) = e1
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5906) implies:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5907) all_57_11 = e1
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5908) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5908) gives:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5909) all_57_9 = e2 & op(e3, e0) = e2
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5909) implies:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5910) all_57_9 = e2
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (207),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (221), (223), (224), (226), (228),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (237), (374), (5518), (5526),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527), (5723), (5728), (5742), (5901), (5907),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5910), (function-axioms) are inconsistent by
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #653.
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5911) all_57_10 = e2 & op(e2, e0) = e2
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5911) implies:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5912) all_57_10 = e2
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5913) op(e2, e0) = e2
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5914) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (217), (221), (226), (227), (228),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (237), (245), (247), (257), (259),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (267), (374), (5515), (5517), (5518), (5519),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5526), (5527), (5717), (5720), (5723), (5740),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5742), (5867), (5901), (5913), (5914),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #644.
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5915) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5915) gives:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5916) all_57_8 = e0 & op(e1, e1) = e0
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5916) implies:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5917) all_57_8 = e0
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5918) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5918) gives:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5919) all_57_2 = e3 & op(e2, e3) = e3
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5919) implies:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5920) all_57_2 = e3
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (191), (193),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (199), (201), (207), (208), (209), (211),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (221), (222), (228), (231), (233),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (247), (257), (259), (267), (374), (5515),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5517), (5519), (5526), (5527), (5717), (5720),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5740), (5742), (5862), (5864), (5867),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5912), (5913), (5920), (function-axioms) are
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #648.
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5921) all_57_3 = e3 & op(e2, e2) = e3
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5921) implies:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5922) op(e2, e2) = e3
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5723), (5922), (function-axioms) are
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1912.
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5923) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (216), (217), (221), (222), (223),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (236), (237), (245),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (247), (257), (259), (267), (374), (5511), (5515),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5517), (5518), (5519), (5526), (5527), (5717),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5720), (5723), (5728), (5740), (5742), (5745),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5748), (5896), (5901), (5912), (5913), (5917),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5923), (function-axioms) are inconsistent by
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #641.
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5924) all_57_14 = e0 & op(e0, e1) = e0
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5924) implies:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5925) all_57_14 = e0
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (208), (209), (5526),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5896), (5925) are inconsistent by sub-proof
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1763.
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5926) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5926) gives:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5927) all_57_11 = e2 & op(e1, e0) = e2
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5907), (5927) are inconsistent by sub-proof
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2048.
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5928) all_57_15 = e2 & op(e0, e0) = e2
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (374), (5526), (5867), (5901),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5928), (function-axioms) are inconsistent by
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1034.
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | (5929) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | (212), (374), (5526), (5929), (function-axioms)
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1786.
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | (5930) all_57_7 = e0 & op(e1, e2) = e0
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5930) implies:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | (5931) all_57_7 = e0
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | (5932) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5932) gives:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | (5933) all_57_1 = e3 & op(e3, e2) = e3
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5933) implies:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | (5934) all_57_1 = e3
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | (5935) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5935) gives:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (5936) all_57_6 = e3 & op(e1, e3) = e3
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5936) implies:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (5937) all_57_6 = e3
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5938) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (374), (5526), (5931), (5938),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1155.
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5939) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5939) gives:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5940) all_57_8 = e1 & op(e1, e1) = e1
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5940) implies:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5941) op(e1, e1) = e1
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5858), (5941), (function-axioms) are
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2427.
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5942) all_57_11 = e1 & op(e1, e0) = e1
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5942) implies:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5943) all_57_11 = e1
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5944) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5944) gives:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5945) all_57_9 = e2 & op(e3, e0) = e2
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (208),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (221), (223), (224), (226), (228), (229),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (374), (5526), (5527), (5723),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5728), (5742), (5934), (5943), (5945),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #640.
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5946) all_57_10 = e2 & op(e2, e0) = e2
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5946) implies:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5947) all_57_10 = e2
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5948) op(e2, e0) = e2
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5949) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (232), (234),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5745), (5937), (5949), (function-axioms)
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #639.
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5950) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5950) gives:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5951) all_57_5 = e3 & op(e2, e1) = e3
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5951) implies:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5952) all_57_5 = e3
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5953) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (228), (229),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5742), (5953), (function-axioms) are
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1677.
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5954) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5954) gives:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5955) all_57_4 = e1 & op(e3, e1) = e1
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (39), (107), (118), (119),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (126), (140), (141), (145), (146), (147), (149),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (150), (159), (164), (165), (169), (191), (193),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (199), (201), (228), (237), (245), (247),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (257), (259), (267), (374), (5515), (5517),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5519), (5527), (5717), (5720), (5723),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5740), (5742), (5931), (5948), (5955),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #638.
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5956) all_57_9 = e1 & op(e3, e0) = e1
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5956) implies:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5957) all_57_9 = e1
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5958) op(e3, e0) = e1
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5959) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (226), (228),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (237), (5518), (5723), (5742),
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5934), (5952), (5957), (5959), (function-axioms)
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #636.
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5960) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5960) gives:
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5961) all_57_8 = e1 & op(e1, e1) = e1
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5961) implies:
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5962) op(e1, e1) = e1
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (207),
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (211), (212), (214), (215), (216),
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (220), (221), (222), (223), (224), (225),
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (374), (5511),
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5526), (5527), (5723), (5728), (5742),
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5745), (5748), (5861), (5863), (5957), (5958),
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5962), (function-axioms) are inconsistent by
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #687.
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5963) all_57_14 = e1 & op(e0, e1) = e1
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (217), (221), (222), (223), (224),
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (230), (231),
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (245),
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (247), (257), (259), (267), (374), (5515), (5517),
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5519), (5526), (5527), (5717), (5720),
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5728), (5740), (5742), (5745), (5934),
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5937), (5947), (5948), (5957), (5963),
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #632.
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5964) all_57_10 = e3 & op(e2, e0) = e3
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5964) implies:
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5965) all_57_10 = e3
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (211), (212),
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5526), (5527), (5965), (function-axioms) are
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1746.
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5966) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5966) gives:
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5967) all_57_11 = e2 & op(e1, e0) = e2
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5943), (5967) are inconsistent by sub-proof
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2048.
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5968) all_57_15 = e2 & op(e0, e0) = e2
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (231), (233),
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (5518), (5526), (5742), (5934), (5968),
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #633.
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (5969) all_57_7 = e3 & op(e1, e2) = e3
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5969) implies:
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (5970) all_57_7 = e3
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5931), (5970) are inconsistent by sub-proof
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | #2269.
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.79/37.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | (5971) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | (212), (374), (5526), (5971), (function-axioms)
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1786.
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | (5972) all_57_3 = e3 & op(e2, e2) = e3
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5972) implies:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | (5973) op(e2, e2) = e3
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5723), (5973), (function-axioms) are
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1912.
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | (5974) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (208), (209),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | (5526), (5527), (5931), (5974), (function-axioms)
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #993.
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | (5975) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5975) gives:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_52_1,
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (5742), (5862) gives:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | (5976) all_52_1 = e2
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5864), (5976) imply:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | (5977) op(e2, e2) = e3
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5723), (5977), (function-axioms) are
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1912.
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | (5978) all_57_11 = e0 & op(e1, e0) = e0
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5978) implies:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | (5979) all_57_11 = e0
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | (5980) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5980) gives:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | (5981) all_57_6 = e1 & op(e1, e3) = e1
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5981) implies:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | (5982) all_57_6 = e1
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | (5983) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5983) gives:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (5984) all_57_6 = e3 & op(e1, e3) = e3
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5984) implies:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (5985) all_57_6 = e3
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5982), (5985) are inconsistent by sub-proof
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | #2017.
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (5986) all_57_7 = e3 & op(e1, e2) = e3
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5986) implies:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (5987) all_57_7 = e3
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5988) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_2 = e3
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5988) gives:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5989) all_57_0 = e3 & op(e3, e3) = e3
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5989) implies:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5990) op(e3, e3) = e3
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5742), (5990), (function-axioms) are
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2490.
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5991) all_57_2 = e3 & op(e2, e3) = e3
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5991) implies:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5992) all_57_2 = e3
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (217), (221), (222), (223), (224),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (230), (231),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (235), (236), (237), (245), (247),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (257), (259), (267), (374), (5515), (5517),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5519), (5526), (5527), (5717), (5720),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5728), (5740), (5742), (5745), (5979),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5982), (5987), (5992), (function-axioms) are
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #626.
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5993) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_12 =
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5993) gives:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5994) all_57_6 = e3 & op(e1, e3) = e3
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5994) implies:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5995) all_57_6 = e3
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5982), (5995) imply:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5996) e3 = e1
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5996) implies:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5997) e3 = e1
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5987), (5997) imply:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5998) all_57_7 = e1
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (214), (215), (216), (217), (219),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (237), (245), (247), (257), (259),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (267), (374), (5511), (5515), (5517), (5518),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5519), (5526), (5527), (5717), (5720), (5723),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5728), (5740), (5742), (5745), (5748), (5861),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5862), (5863), (5864), (5979), (5995), (5998),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #614.
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5999) all_57_12 = e3 & op(e0, e3) = e3
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5999) implies:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6000) all_57_12 = e3
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6001) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 =
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6001) gives:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6002) all_57_9 = e1 & op(e3, e0) = e1
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6002) implies:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6003) all_57_9 = e1
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6004) op(e3, e0) = e1
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6005) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6005) gives:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6006) all_57_9 = e2 & op(e3, e0) = e2
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6003), (6006) are inconsistent by sub-proof
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2481.
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6007) all_57_10 = e2 & op(e2, e0) = e2
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6007) implies:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6008) all_57_10 = e2
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6009) op(e2, e0) = e2
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6010) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (217), (221), (226), (228), (231),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (237), (245), (247), (257), (259), (267),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (5515), (5517), (5518), (5519), (5526),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527), (5717), (5720), (5723), (5740), (5742),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5982), (5987), (6003), (6009), (6010),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #612.
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6011) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6011) gives:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6012) all_57_8 = e1 & op(e1, e1) = e1
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6012) implies:
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6013) op(e1, e1) = e1
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (207),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (211), (212), (214), (215), (216),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (220), (221), (222), (223), (224), (225),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (374), (5511),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5526), (5527), (5723), (5728), (5742),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5745), (5748), (5861), (5863), (6003), (6004),
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6013), (function-axioms) are inconsistent by
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #687.
% 221.91/37.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6014) all_57_14 = e1 & op(e0, e1) = e1
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (191), (193),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (199), (201), (207), (208), (209), (211),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (221), (222), (223), (225), (228),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (245), (247), (257), (259), (267),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (5515), (5517), (5519), (5526), (5527),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5717), (5720), (5723), (5740), (5742), (5982),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6000), (6008), (6009), (6014), (function-axioms)
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #611.
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6015) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (374), (5526), (5527), (5979),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5982), (5987), (6015), (function-axioms) are
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #610.
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6016) all_57_10 = e1 & op(e2, e0) = e1
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (207),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (211), (212), (217), (221), (222),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (235), (236), (237), (374),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5526), (5527), (5723), (5728), (5742),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5979), (5982), (5987), (6016), (function-axioms)
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #609.
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6017) (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 =
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (5527), (5728), (5742), (5979), (5982),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6000), (6017), (function-axioms) are inconsistent
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #608.
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | (6018) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | (212), (374), (5526), (6018), (function-axioms)
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1786.
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | (6019) all_57_7 = e1 & op(e1, e2) = e1
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6019) implies:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | (6020) all_57_7 = e1
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | (6021) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6021) gives:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (6022) all_57_6 = e3 & op(e1, e3) = e3
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6022) implies:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (6023) all_57_6 = e3
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (214), (215), (216), (217), (219),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (234),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (237), (245), (247), (257), (259),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (267), (374), (5511), (5515), (5517), (5518),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (5519), (5526), (5527), (5717), (5720), (5723),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (5728), (5740), (5742), (5745), (5748), (5861),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (5862), (5863), (5864), (5979), (6020), (6023),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | #614.
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (6024) all_57_7 = e3 & op(e1, e2) = e3
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6024) implies:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (6025) all_57_7 = e3
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6020), (6025) are inconsistent by sub-proof
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | #2115.
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | (6026) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | (212), (374), (5526), (6026), (function-axioms)
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1786.
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | (6027) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5858), (5979), (6027), (function-axioms) are
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #910.
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | (6028) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | ALPHA: (6028) implies:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | (6029) op(e2, e2) = all_52_11
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | (6030) op(all_52_11, all_52_11) = e2
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | (6031) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6031) gives:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | (6032) all_57_6 = e0 & op(e1, e3) = e0
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6032) implies:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | (6033) all_57_6 = e0
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | (6034) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_2 = e3
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6034) gives:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | (6035) all_57_0 = e3 & op(e3, e3) = e3
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6035) implies:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | (6036) op(e3, e3) = e3
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5742), (6036), (function-axioms) are
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2490.
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | (6037) all_57_2 = e3 & op(e2, e3) = e3
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6037) implies:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | (6038) all_57_2 = e3
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (214), (215), (216), (217), (218),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (225), (226),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (245), (247), (257),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | (259), (267), (374), (5511), (5515), (5517),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5519), (5526), (5527), (5717), (5720),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5728), (5740), (5741), (5742), (5745),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | (5748), (6029), (6030), (6033), (6038),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | #606.
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | (6039) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_12 =
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6039) gives:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | (6040) all_57_6 = e3 & op(e1, e3) = e3
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6040) implies:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | (6041) all_57_6 = e3
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6033), (6041) are inconsistent by sub-proof
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | #1822.
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | (6042) all_57_12 = e3 & op(e0, e3) = e3
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6042) implies:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | (6043) all_57_12 = e3
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | (6044) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6044) gives:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (6045) all_57_6 = e3 & op(e1, e3) = e3
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6045) implies:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (6046) all_57_6 = e3
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6033), (6046) are inconsistent by sub-proof
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | #1822.
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (6047) all_57_7 = e3 & op(e1, e2) = e3
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6047) implies:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (6048) all_57_7 = e3
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6049) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (5728), (5742), (6033), (6043), (6048),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6049), (function-axioms) are inconsistent by
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #645.
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6050) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6050) gives:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6051) all_57_8 = e1 & op(e1, e1) = e1
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6051) implies:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6052) op(e1, e1) = e1
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (214), (215), (216), (217), (218),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (225), (226),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (245), (247), (257),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (259), (267), (374), (5511), (5515), (5517),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5519), (5526), (5527), (5717), (5720),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5728), (5740), (5741), (5742), (5745),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5748), (6029), (6030), (6052), (function-axioms)
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #672.
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6053) all_57_11 = e1 & op(e1, e0) = e1
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6053) implies:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6054) all_57_11 = e1
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6055) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6055) gives:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6056) all_57_9 = e2 & op(e3, e0) = e2
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6056) implies:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6057) all_57_9 = e2
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (207),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (221), (223), (224), (226), (228),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (237), (374), (5518), (5526),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527), (5723), (5728), (5742), (6048), (6054),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6057), (function-axioms) are inconsistent by
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #653.
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6058) all_57_10 = e2 & op(e2, e0) = e2
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6058) implies:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6059) all_57_10 = e2
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6060) op(e2, e0) = e2
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6061) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (217), (221), (226), (227), (228),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (237), (245), (247), (257), (259),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (267), (374), (5515), (5517), (5518), (5519),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5526), (5527), (5717), (5720), (5723), (5740),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5742), (6033), (6048), (6060), (6061),
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #644.
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6062) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6062) gives:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6063) all_57_8 = e0 & op(e1, e1) = e0
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6063) implies:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6064) all_57_8 = e0
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6065) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6065) gives:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6066) all_57_2 = e3 & op(e2, e3) = e3
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6066) implies:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6067) all_57_2 = e3
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (191), (193),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (199), (201), (207), (208), (209), (211),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (221), (222), (228), (231), (233),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (247), (257), (259), (267), (374), (5515),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5517), (5519), (5526), (5527), (5717), (5720),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5740), (5742), (6029), (6030), (6033),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6059), (6060), (6067), (function-axioms) are
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #607.
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6068) all_57_3 = e3 & op(e2, e2) = e3
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6068) implies:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6069) op(e2, e2) = e3
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5723), (6069), (function-axioms) are
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1912.
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6070) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6070) gives:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6071) all_57_5 = e3 & op(e2, e1) = e3
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6071) implies:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6072) all_57_5 = e3
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (216), (217), (221), (222), (223),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (236), (237), (245),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (247), (257), (259), (267), (374), (5511), (5515),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5517), (5518), (5519), (5526), (5527), (5717),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5720), (5723), (5728), (5740), (5742), (5745),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5748), (6043), (6048), (6059), (6060), (6064),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6072), (function-axioms) are inconsistent by
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #642.
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6073) all_57_10 = e3 & op(e2, e0) = e3
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6073) implies:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6074) all_57_10 = e3
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (211), (212),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5526), (5527), (6074), (function-axioms) are
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1746.
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6075) all_57_14 = e0 & op(e0, e1) = e0
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6075) implies:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6076) all_57_14 = e0
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (208), (209), (5526),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6043), (6076) are inconsistent by sub-proof
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1763.
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6077) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6077) gives:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6078) all_57_11 = e2 & op(e1, e0) = e2
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6054), (6078) are inconsistent by sub-proof
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2048.
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6079) all_57_15 = e2 & op(e0, e0) = e2
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (374), (5526), (6033), (6048),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6079), (function-axioms) are inconsistent by
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1034.
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | (6080) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | (212), (374), (5526), (6080), (function-axioms)
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1786.
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | (6081) all_57_7 = e0 & op(e1, e2) = e0
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6081) implies:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | (6082) all_57_7 = e0
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | (6083) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6083) gives:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | (6084) all_57_1 = e3 & op(e3, e2) = e3
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6084) implies:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | (6085) all_57_1 = e3
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | (6086) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6086) gives:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (6087) all_57_6 = e3 & op(e1, e3) = e3
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6087) implies:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (6088) all_57_6 = e3
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6089) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (374), (5526), (6082), (6089),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1155.
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6090) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6090) gives:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6091) all_57_8 = e1 & op(e1, e1) = e1
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6091) implies:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6092) op(e1, e1) = e1
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (214), (215), (216), (217), (218),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (225), (226),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (245), (247), (257),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (259), (267), (374), (5511), (5515), (5517),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5519), (5526), (5527), (5717), (5720),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5728), (5740), (5741), (5742), (5745),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5748), (6029), (6030), (6092), (function-axioms)
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #672.
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6093) all_57_11 = e1 & op(e1, e0) = e1
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6093) implies:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6094) all_57_11 = e1
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6095) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6095) gives:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6096) all_57_9 = e2 & op(e3, e0) = e2
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (208),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (221), (223), (224), (226), (228), (229),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (374), (5526), (5527), (5723),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5728), (5742), (6085), (6094), (6096),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #640.
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6097) all_57_10 = e2 & op(e2, e0) = e2
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6097) implies:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6098) all_57_10 = e2
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6099) op(e2, e0) = e2
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6100) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6100) gives:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6101) all_57_2 = e0 & op(e2, e3) = e0
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6101) implies:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6102) all_57_2 = e0
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6103) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (228), (229),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5742), (6103), (function-axioms) are
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1677.
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6104) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6104) gives:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6105) all_57_4 = e1 & op(e3, e1) = e1
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (39), (107), (118), (119),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (126), (140), (141), (145), (146), (147), (149),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (150), (159), (164), (165), (169), (191), (193),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (199), (201), (228), (237), (245), (247),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (257), (259), (267), (374), (5515), (5517),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5519), (5527), (5717), (5720), (5723),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5740), (5742), (6082), (6099), (6105),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #638.
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6106) all_57_9 = e1 & op(e3, e0) = e1
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6106) implies:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6107) all_57_9 = e1
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6108) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5728), (5742), (6102), (6108), (function-axioms)
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #801.
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6109) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6109) gives:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6110) all_57_6 = e1 & op(e1, e3) = e1
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6110) implies:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6111) all_57_6 = e1
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (214), (215), (216), (217), (218),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (225), (226),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (245), (247), (257),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (259), (267), (374), (5511), (5515), (5517),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5519), (5526), (5527), (5717), (5720),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5728), (5740), (5742), (5745), (5748),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6029), (6030), (6094), (6098), (6099), (6107),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6111), (function-axioms) are inconsistent by
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #677.
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6112) all_57_12 = e1 & op(e0, e3) = e1
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6112) implies:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6113) op(e0, e3) = e1
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (212), (223),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (5511), (5526), (5527), (5728),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5748), (6094), (6102), (6107), (6113),
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #709.
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6114) all_57_3 = e0 & op(e2, e2) = e0
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6114) implies:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6115) all_57_3 = e0
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6116) op(e2, e2) = e0
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6083) gives:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (207),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (211), (212), (217), (223), (224),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (227), (228), (229), (230), (231), (232),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (236), (237), (374), (5518), (5526),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527), (5742), (5745), (6082), (6085), (6115),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6116), (function-axioms) are inconsistent by
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #605.
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6117) all_57_3 = e3 & op(e2, e2) = e3
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6117) implies:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6118) all_57_3 = e3
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6115), (6118) are inconsistent by sub-proof
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2358.
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6119) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6119) gives:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6120) all_57_7 = e3 & op(e1, e2) = e3
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6120) implies:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6121) all_57_7 = e3
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6082), (6121) are inconsistent by sub-proof
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2269.
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6122) all_57_13 = e3 & op(e0, e2) = e3
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6122) implies:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6123) all_57_13 = e3
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6086) gives:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6124) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5742), (6115), (6124), (function-axioms) are
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1654.
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6125) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6125) gives:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6126) all_57_6 = e0 & op(e1, e3) = e0
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6088), (6126) are inconsistent by sub-proof
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2465.
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6127) all_57_12 = e0 & op(e0, e3) = e0
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6127) implies:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6128) all_57_12 = e0
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6129) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6129) gives:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6130) all_57_12 = e2 & op(e0, e3) = e2
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6130) implies:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6131) all_57_12 = e2
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (232), (234), (5745),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6088), (6128), (6131) are inconsistent by
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #763.
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6132) all_57_13 = e2 & op(e0, e2) = e2
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6132) implies:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6133) all_57_13 = e2
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6123), (6133) imply:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6134) e3 = e2
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (207),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (217), (223), (224), (225), (227),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (231), (232), (233), (235), (236),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (374), (5518), (5526), (5742), (6088),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6115), (6134), (function-axioms) are inconsistent
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #604.
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6135) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6135) gives:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6136) all_57_14 = e2 & op(e0, e1) = e2
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6136) implies:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6137) all_57_14 = e2
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (208), (5526), (6123), (6128),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6137) are inconsistent by sub-proof #2215.
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6138) all_57_15 = e2 & op(e0, e0) = e2
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6138) implies:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6139) all_57_15 = e2
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5526), (6139) imply:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6140) e3 = e2
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (207),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (217), (223), (224), (225), (227),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (231), (232), (233), (235), (236),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (374), (5518), (5526), (5742), (6088),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6115), (6140), (function-axioms) are inconsistent
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #604.
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6141) all_57_7 = e3 & op(e1, e2) = e3
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6141) implies:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6142) all_57_7 = e3
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6082), (6142) are inconsistent by sub-proof
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2269.
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6143) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (374), (5526), (6143), (function-axioms)
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1786.
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6144) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6144) gives:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6145) all_57_5 = e0 & op(e2, e1) = e0
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6145) implies:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6146) all_57_5 = e0
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6147) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6147) gives:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6148) all_57_4 = e3 & op(e3, e1) = e3
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6148) implies:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6149) all_57_4 = e3
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6150) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6150) gives:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6151) all_57_2 = e3 & op(e2, e3) = e3
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6151) implies:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6152) all_57_2 = e3
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (208),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (211), (212), (217), (221), (230), (231),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (234), (235), (374), (5526), (6082),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6085), (6088), (6146), (6152), (function-axioms)
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #950.
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6153) all_57_3 = e3 & op(e2, e2) = e3
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6153) implies:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6154) op(e2, e2) = e3
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5723), (6154), (function-axioms) are
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1912.
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6155) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6155) gives:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6156) all_57_5 = e3 & op(e2, e1) = e3
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6156) implies:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6157) all_57_5 = e3
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6146), (6157) imply:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6158) e3 = e0
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6088), (6158) imply:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6159) all_57_6 = e0
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (191), (193),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (199), (201), (207), (211), (212), (217),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (231), (233), (245), (247), (257), (259),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (267), (374), (5515), (5517), (5519), (5526),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527), (5717), (5720), (5723), (5740), (5742),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6099), (6149), (6159), (function-axioms) are
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #651.
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6160) all_57_10 = e3 & op(e2, e0) = e3
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6160) implies:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6161) all_57_10 = e3
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (212), (231),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (5526), (6085), (6149), (6161) are
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1436.
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6162) all_57_5 = e3 & op(e2, e1) = e3
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6162) implies:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6163) all_57_5 = e3
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6146), (6163) imply:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6164) e3 = e0
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6164) implies:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6165) e3 = e0
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6088), (6165) imply:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6166) all_57_6 = e0
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (191), (193),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (199), (201), (207), (208), (209), (211),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (221), (228), (231), (233), (245),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (247), (257), (259), (267), (374), (5515), (5517),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5519), (5526), (5527), (5717), (5720), (5723),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5740), (5742), (6099), (6146), (6166),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #650.
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6167) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (208),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (374), (5526), (6167), (function-axioms)
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1794.
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6168) all_57_10 = e0 & op(e2, e0) = e0
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6168) implies:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6169) all_57_10 = e0
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6098), (6169) are inconsistent by sub-proof
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2138.
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6170) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6170) gives:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6171) all_57_11 = e2 & op(e1, e0) = e2
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6094), (6171) are inconsistent by sub-proof
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2048.
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6172) all_57_15 = e2 & op(e0, e0) = e2
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (231), (233),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (5518), (5526), (5742), (6085), (6172),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #633.
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (6173) all_57_7 = e3 & op(e1, e2) = e3
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6173) implies:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (6174) all_57_7 = e3
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6082), (6174) are inconsistent by sub-proof
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | | #2269.
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | (6175) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | (212), (374), (5526), (6175), (function-axioms)
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1786.
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | (6176) all_57_3 = e3 & op(e2, e2) = e3
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6176) implies:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | (6177) op(e2, e2) = e3
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5723), (6177), (function-axioms) are
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1912.
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | (6178) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (208), (209),
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | (5526), (5527), (6082), (6178), (function-axioms)
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #993.
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | (6179) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6179) gives:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | all_52_11, e2, e2, simplifying with (5723), (6029)
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | gives:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | (6180) all_52_11 = e1
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6030), (6180) imply:
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | | (6181) op(e1, e1) = e2
% 221.91/37.61 | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | (211), (212), (214), (215), (216), (217), (218),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (245), (247),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | (257), (259), (267), (374), (5511), (5515),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | (5517), (5518), (5519), (5526), (5527), (5717),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | (5720), (5723), (5728), (5740), (5742), (5745),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | (5748), (6181), (function-axioms) are inconsistent
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #655.
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | (6182) all_57_11 = e0 & op(e1, e0) = e0
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6182) implies:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | (6183) all_57_11 = e0
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | (6184) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6184) gives:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | (6185) all_57_6 = e1 & op(e1, e3) = e1
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6185) implies:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | (6186) all_57_6 = e1
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | (6187) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6187) gives:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (6188) all_57_6 = e3 & op(e1, e3) = e3
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6188) implies:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (6189) all_57_6 = e3
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6186), (6189) are inconsistent by sub-proof
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | #2017.
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (6190) all_57_7 = e3 & op(e1, e2) = e3
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6190) implies:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (6191) all_57_7 = e3
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6192) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_2 = e3
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6192) gives:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6193) all_57_0 = e3 & op(e3, e3) = e3
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6193) implies:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6194) op(e3, e3) = e3
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5742), (6194), (function-axioms) are
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2490.
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6195) all_57_2 = e3 & op(e2, e3) = e3
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6195) implies:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6196) all_57_2 = e3
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6197) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 =
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6197) gives:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6198) all_57_9 = e1 & op(e3, e0) = e1
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6198) implies:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6199) all_57_9 = e1
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (217), (221), (222), (223), (224),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (227), (228), (230), (231), (232), (233),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (245), (247), (257), (259), (267), (374),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5515), (5517), (5518), (5519), (5526), (5527),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5717), (5720), (5723), (5728), (5740), (5742),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5745), (6183), (6186), (6191), (6196), (6199),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #628.
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6200) all_57_10 = e1 & op(e2, e0) = e1
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6200) implies:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6201) all_57_10 = e1
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6202) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (207),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (211), (212), (217), (221), (222),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (235), (236), (237), (374),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5526), (5527), (5723), (5728), (5742),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6201), (6202), (function-axioms) are inconsistent
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #627.
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6203) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (223), (224), (225), (230), (232),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (5526), (5527), (5723), (5728), (5742),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6183), (6191), (6196), (6203), (function-axioms)
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #629.
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6204) (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 =
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6204) gives:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6205) all_57_11 = e1 & op(e1, e0) = e1
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6205) implies:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6206) all_57_11 = e1
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6183), (6206) imply:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6207) e1 = e0
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6186), (6207) imply:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6208) all_57_6 = e0
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (214), (215), (216), (217), (218),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (225), (226),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (245), (247), (257),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (259), (267), (374), (5511), (5515), (5517),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5519), (5526), (5527), (5717), (5720),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5728), (5740), (5741), (5742), (5745),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5748), (6029), (6030), (6196), (6208),
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #606.
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6209) all_57_15 = e1 & op(e0, e0) = e1
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6209) implies:
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6210) op(e0, e0) = e1
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5527), (6210), (function-axioms) are
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2183.
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 221.91/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6211) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_12 =
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6211) gives:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6212) all_57_6 = e3 & op(e1, e3) = e3
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6212) implies:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6213) all_57_6 = e3
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6186), (6213) imply:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6214) e3 = e1
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6214) implies:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6215) e3 = e1
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6191), (6215) imply:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6216) all_57_7 = e1
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (217), (221), (222), (223), (224),
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (230), (231),
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (235), (236), (237), (245), (247),
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (257), (259), (267), (374), (5515), (5517),
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5519), (5526), (5527), (5717), (5720),
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5728), (5740), (5742), (6029), (6030),
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6183), (6213), (6216), (function-axioms) are
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #603.
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6217) all_57_12 = e3 & op(e0, e3) = e3
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6217) implies:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6218) all_57_12 = e3
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6219) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 =
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6219) gives:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6220) all_57_9 = e1 & op(e3, e0) = e1
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6220) implies:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6221) all_57_9 = e1
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6222) op(e3, e0) = e1
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6223) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6223) gives:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6224) all_57_9 = e2 & op(e3, e0) = e2
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6221), (6224) are inconsistent by sub-proof
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2481.
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6225) all_57_10 = e2 & op(e2, e0) = e2
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6225) implies:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6226) all_57_10 = e2
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6227) op(e2, e0) = e2
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6228) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6228) gives:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6229) all_57_4 = e1 & op(e3, e1) = e1
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6229) implies:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6230) all_57_4 = e1
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6231) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_1 = e3
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6231) gives:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6232) all_57_0 = e3 & op(e3, e3) = e3
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6232) implies:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6233) op(e3, e3) = e3
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5742), (6233), (function-axioms) are
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2490.
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6234) all_57_1 = e3 & op(e3, e2) = e3
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6234) implies:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6235) all_57_1 = e3
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6236) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (5742), (6235), (6236),
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1676.
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6237) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6237) gives:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6238) all_57_4 = e0 & op(e3, e1) = e0
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6238) implies:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6239) all_57_4 = e0
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6230), (6239) imply:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6240) e1 = e0
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6186), (6240) imply:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6241) all_57_6 = e0
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (226), (227), (228), (374), (5526),
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (6235), (6241), (function-axioms) are
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1773.
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6242) all_57_9 = e0 & op(e3, e0) = e0
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6242) implies:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6243) all_57_9 = e0
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6221), (6243) imply:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6244) e1 = e0
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6186), (6244) imply:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6245) all_57_6 = e0
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (226), (227), (228), (374), (5526),
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (6235), (6245), (function-axioms) are
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1773.
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6246) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_9 = e3
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (169), (5518), (6230), (6246),
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2281.
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6247) all_57_5 = e1 & op(e2, e1) = e1
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6247) implies:
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6248) all_57_5 = e1
% 222.09/37.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (217), (221), (226), (228), (231),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (237), (245), (247), (257), (259), (267),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (5515), (5517), (5518), (5519), (5526),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527), (5717), (5720), (5723), (5740), (5742),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6186), (6191), (6227), (6248), (function-axioms)
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #613.
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6249) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6249) gives:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6250) all_57_8 = e1 & op(e1, e1) = e1
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6250) implies:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6251) op(e1, e1) = e1
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (214), (215), (216), (217), (218),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (225), (226),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (245), (247), (257),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (259), (267), (374), (5511), (5515), (5517),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5519), (5526), (5527), (5717), (5720),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5728), (5740), (5741), (5742), (5745),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5748), (6029), (6030), (6221), (6222), (6251),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #674.
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6252) all_57_14 = e1 & op(e0, e1) = e1
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (191), (193),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (199), (201), (207), (208), (209), (211),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (221), (222), (223), (225), (228),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (245), (247), (257), (259), (267),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (5515), (5517), (5519), (5526), (5527),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5717), (5720), (5723), (5740), (5742), (6186),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6218), (6226), (6227), (6252), (function-axioms)
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #611.
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6253) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (374), (5526), (5527), (6183),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6186), (6191), (6253), (function-axioms) are
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #610.
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6254) all_57_10 = e1 & op(e2, e0) = e1
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6254) implies:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6255) all_57_10 = e1
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6256) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (207),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (211), (212), (217), (221), (222),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (235), (236), (237), (374),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5526), (5527), (5723), (5728), (5742),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6255), (6256), (function-axioms) are inconsistent
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #627.
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6257) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (374), (5526), (5527), (6183),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6186), (6191), (6257), (function-axioms) are
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #610.
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6258) (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 =
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (5527), (5728), (5742), (6183), (6186),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6218), (6258), (function-axioms) are inconsistent
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #608.
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | (6259) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | (212), (374), (5526), (6259), (function-axioms)
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1786.
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | (6260) all_57_7 = e1 & op(e1, e2) = e1
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6260) implies:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | (6261) all_57_7 = e1
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | (6262) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6262) gives:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (6263) all_57_6 = e3 & op(e1, e3) = e3
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6263) implies:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (6264) all_57_6 = e3
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (217), (221), (222), (223), (224),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (230), (231),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (235), (236), (237), (245), (247),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (257), (259), (267), (374), (5515), (5517),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5519), (5526), (5527), (5717), (5720),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5728), (5740), (5742), (6029), (6030),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (6183), (6261), (6264), (function-axioms) are
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #603.
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (6265) all_57_7 = e3 & op(e1, e2) = e3
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6265) implies:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (6266) all_57_7 = e3
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6261), (6266) are inconsistent by sub-proof
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | #2115.
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | (6267) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | (212), (374), (5526), (6267), (function-axioms)
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1786.
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | (6268) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6268) gives:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | (6269) all_57_8 = e1 & op(e1, e1) = e1
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6269) implies:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | (6270) op(e1, e1) = e1
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (214), (215), (216), (217), (218),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (225), (226),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (245), (247), (257),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | (259), (267), (374), (5511), (5515), (5517),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5519), (5526), (5527), (5717), (5720),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5728), (5740), (5741), (5742), (5745),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | (5748), (6029), (6030), (6270), (function-axioms)
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #672.
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | (6271) all_57_11 = e1 & op(e1, e0) = e1
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6271) implies:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | (6272) all_57_11 = e1
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6183), (6272) are inconsistent by sub-proof
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | #1862.
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.63 | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | (6273) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 222.09/37.63 | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | BETA: splitting (6273) gives:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | (6274) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | ALPHA: (6274) implies:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | (6275) op(e1, e1) = all_52_21
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | (6276) op(all_52_21, all_52_21) = e1
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | (6277) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6277) gives:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | (6278) all_57_6 = e0 & op(e1, e3) = e0
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6278) implies:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | (6279) all_57_6 = e0
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | (6280) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_2 = e3
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6280) gives:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | (6281) all_57_0 = e3 & op(e3, e3) = e3
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6281) implies:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | (6282) op(e3, e3) = e3
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5742), (6282), (function-axioms) are
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2490.
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | (6283) all_57_2 = e3 & op(e2, e3) = e3
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6283) implies:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | (6284) all_57_2 = e3
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | (6285) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6285) gives:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (6286) all_57_6 = e3 & op(e1, e3) = e3
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6286) implies:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (6287) all_57_6 = e3
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (232), (234),
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (5745), (6284), (6287), (function-axioms) are
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1286.
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (6288) all_57_7 = e3 & op(e1, e2) = e3
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6288) implies:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (6289) all_57_7 = e3
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6290) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (6279), (6289), (6290) are inconsistent
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #654.
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6291) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6291) gives:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6292) all_57_8 = e1 & op(e1, e1) = e1
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6292) implies:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6293) op(e1, e1) = e1
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5858), (6293), (function-axioms) are
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2427.
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6294) all_57_11 = e1 & op(e1, e0) = e1
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6294) implies:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6295) all_57_11 = e1
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6296) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6296) gives:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6297) all_57_9 = e2 & op(e3, e0) = e2
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6297) implies:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6298) all_57_9 = e2
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (207),
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (221), (223), (224), (226), (228),
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (237), (374), (5518), (5526),
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527), (5723), (5728), (5742), (6289), (6295),
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6298), (function-axioms) are inconsistent by
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #653.
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6299) all_57_10 = e2 & op(e2, e0) = e2
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6299) implies:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6300) all_57_10 = e2
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6301) op(e2, e0) = e2
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6302) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6302) gives:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6303) all_57_2 = e0 & op(e2, e3) = e0
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6303) implies:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6304) all_57_2 = e0
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6284), (6304) imply:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6305) e3 = e0
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6289), (6305) imply:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6306) all_57_7 = e0
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (215), (217), (219), (221), (222),
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (229),
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (245), (247), (257), (259), (267), (374),
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5515), (5517), (5518), (5519), (5526), (5527),
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5717), (5720), (5723), (5728), (5740), (5742),
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5745), (5858), (6306), (function-axioms) are
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #602.
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6307) all_57_3 = e0 & op(e2, e2) = e0
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6307) implies:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6308) op(e2, e2) = e0
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5723), (6308), (function-axioms) are
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6309) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (191), (193),
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (199), (201), (207), (208), (209), (211),
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (221), (228), (231), (233), (245),
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (247), (257), (259), (267), (374), (5515), (5517),
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5519), (5526), (5527), (5717), (5720), (5723),
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5740), (5742), (6279), (6300), (6301), (6309),
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #649.
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6310) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (223), (224), (225), (230), (232),
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (5511), (5526), (5527), (5723), (5728),
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5742), (5748), (6279), (6284), (6289), (6310),
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #646.
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | (6311) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | (212), (374), (5526), (6311), (function-axioms)
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1786.
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | (6312) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_12 =
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6312) gives:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | (6313) all_57_6 = e3 & op(e1, e3) = e3
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6313) implies:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | (6314) all_57_6 = e3
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6279), (6314) are inconsistent by sub-proof
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | #1822.
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | (6315) all_57_12 = e3 & op(e0, e3) = e3
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6315) implies:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | (6316) all_57_12 = e3
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | (6317) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6317) gives:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (6318) all_57_6 = e3 & op(e1, e3) = e3
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6318) implies:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (6319) all_57_6 = e3
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6279), (6319) are inconsistent by sub-proof
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | #1822.
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (6320) all_57_7 = e3 & op(e1, e2) = e3
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6320) implies:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (6321) all_57_7 = e3
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6322) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (5728), (5742), (6279), (6316), (6321),
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6322), (function-axioms) are inconsistent by
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #645.
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6323) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6323) gives:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6324) all_57_8 = e1 & op(e1, e1) = e1
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.09/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6324) implies:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6325) op(e1, e1) = e1
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5858), (6325), (function-axioms) are
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2427.
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6326) all_57_11 = e1 & op(e1, e0) = e1
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6326) implies:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6327) all_57_11 = e1
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6328) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6328) gives:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6329) all_57_9 = e2 & op(e3, e0) = e2
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6329) implies:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6330) all_57_9 = e2
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (207),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (221), (223), (224), (226), (228),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (237), (374), (5518), (5526),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527), (5723), (5728), (5742), (6321), (6327),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6330), (function-axioms) are inconsistent by
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #653.
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6331) all_57_10 = e2 & op(e2, e0) = e2
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6331) implies:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6332) all_57_10 = e2
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6333) op(e2, e0) = e2
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6334) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (217), (221), (226), (227), (228),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (237), (245), (247), (257), (259),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (267), (374), (5515), (5517), (5518), (5519),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5526), (5527), (5717), (5720), (5723), (5740),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5742), (6279), (6321), (6333), (6334),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #644.
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6335) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6335) gives:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6336) all_57_8 = e0 & op(e1, e1) = e0
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6336) implies:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6337) all_57_8 = e0
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6338) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6338) gives:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6339) all_57_2 = e0 & op(e2, e3) = e0
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6339) implies:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6340) all_57_2 = e0
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6341) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6341) gives:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6342) all_57_2 = e3 & op(e2, e3) = e3
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6342) implies:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6343) all_57_2 = e3
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6340), (6343) imply:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6344) e3 = e0
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6344) implies:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6345) e3 = e0
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6321), (6345) imply:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6346) all_57_7 = e0
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (215), (217), (219), (221), (222),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (229),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (245), (247), (257), (259), (267), (374),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5515), (5517), (5518), (5519), (5526), (5527),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5717), (5720), (5723), (5728), (5740), (5742),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5745), (5858), (6346), (function-axioms) are
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #602.
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6347) all_57_3 = e3 & op(e2, e2) = e3
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6347) implies:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6348) op(e2, e2) = e3
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5723), (6348), (function-axioms) are
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1912.
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6349) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (216), (217), (221), (222), (223),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (236), (237), (245),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (247), (257), (259), (267), (374), (5511), (5515),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5517), (5518), (5519), (5526), (5527), (5717),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5720), (5723), (5728), (5740), (5742), (5745),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5748), (6316), (6321), (6332), (6333), (6337),
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6349), (function-axioms) are inconsistent by
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #641.
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6350) all_57_3 = e0 & op(e2, e2) = e0
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6350) implies:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6351) op(e2, e2) = e0
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5723), (6351), (function-axioms) are
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6352) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 222.17/37.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (191), (193),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (199), (201), (207), (208), (209), (211),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (221), (228), (231), (233), (245),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (247), (257), (259), (267), (374), (5515), (5517),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5519), (5526), (5527), (5717), (5720), (5723),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5740), (5742), (6279), (6332), (6333), (6352),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #649.
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6353) all_57_14 = e0 & op(e0, e1) = e0
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6353) implies:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6354) all_57_14 = e0
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (208), (209), (5526),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6316), (6354) are inconsistent by sub-proof
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1763.
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6355) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6355) gives:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6356) all_57_11 = e2 & op(e1, e0) = e2
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6327), (6356) are inconsistent by sub-proof
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2048.
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6357) all_57_15 = e2 & op(e0, e0) = e2
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (374), (5526), (6279), (6321),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6357), (function-axioms) are inconsistent by
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1034.
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | (6358) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | (212), (374), (5526), (6358), (function-axioms)
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1786.
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | (6359) all_57_7 = e0 & op(e1, e2) = e0
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6359) implies:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | (6360) all_57_7 = e0
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | (211), (212), (215), (217), (219), (221), (222),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (229),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | (237), (245), (247), (257), (259), (267), (374),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | (5515), (5517), (5518), (5519), (5526), (5527),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | (5717), (5720), (5723), (5728), (5740), (5742),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | (5745), (5858), (6360), (function-axioms) are
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #602.
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | (6361) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6361) gives:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | (6362) all_57_8 = e0 & op(e1, e1) = e0
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5527), (6275), (6276), (6362),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | #601.
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | (6363) all_57_11 = e0 & op(e1, e0) = e0
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6363) implies:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | (6364) all_57_11 = e0
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | (6365) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6365) gives:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | (6366) all_57_6 = e1 & op(e1, e3) = e1
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6366) implies:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | (6367) all_57_6 = e1
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | (6368) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6368) gives:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (6369) all_57_6 = e3 & op(e1, e3) = e3
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6369) implies:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (6370) all_57_6 = e3
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6367), (6370) are inconsistent by sub-proof
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | #2017.
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (6371) all_57_7 = e3 & op(e1, e2) = e3
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6371) implies:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (6372) all_57_7 = e3
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (217), (219), (221), (222), (223),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (235), (236), (237), (245),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (247), (257), (259), (267), (374), (5515), (5517),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5519), (5526), (5527), (5717), (5720),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5728), (5740), (5742), (5745), (5858),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (6364), (6367), (6372), (function-axioms) are
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #599.
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | (6373) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | (212), (374), (5526), (6373), (function-axioms)
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1786.
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | (6374) all_57_7 = e1 & op(e1, e2) = e1
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6374) implies:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | (6375) all_57_7 = e1
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | (6376) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6376) gives:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (6377) all_57_6 = e3 & op(e1, e3) = e3
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6377) implies:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (6378) all_57_6 = e3
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6379) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6379) gives:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6380) all_57_1 = e3 & op(e3, e2) = e3
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6380) implies:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6381) all_57_1 = e3
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6382) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (226), (227), (228), (374), (5526),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5742), (6378), (6381), (6382),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #625.
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6383) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6383) gives:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6384) all_57_4 = e0 & op(e3, e1) = e0
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6384) implies:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6385) all_57_4 = e0
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6386) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6386) gives:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6387) all_57_9 = e2 & op(e3, e0) = e2
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (207),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (211), (212), (217), (221), (222),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (235), (236), (237), (374),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5526), (5527), (5723), (5728), (5742),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6364), (6385), (6387), (function-axioms) are
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #624.
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6388) all_57_10 = e2 & op(e2, e0) = e2
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6388) implies:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6389) all_57_10 = e2
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6390) op(e2, e0) = e2
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6391) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6391) gives:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6392) all_57_2 = e0 & op(e2, e3) = e0
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6392) implies:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6393) all_57_2 = e0
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6394) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 =
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6394) gives:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6395) all_57_9 = e1 & op(e3, e0) = e1
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6395) implies:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6396) all_57_9 = e1
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6397) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6397) gives:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6398) all_57_4 = e3 & op(e3, e1) = e3
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (191), (193),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (199), (201), (207), (211), (212), (217),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (231), (233), (245), (247), (257), (259),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (267), (374), (5515), (5517), (5519), (5526),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527), (5717), (5720), (5723), (5740), (5742),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6378), (6385), (6390), (6398), (function-axioms)
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #623.
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6399) all_57_5 = e3 & op(e2, e1) = e3
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6399) implies:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6400) all_57_5 = e3
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6401) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (191), (193),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (199), (201), (207), (208), (209), (211),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (221), (223), (224), (228), (231),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (245), (247), (257), (259), (267), (374),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5515), (5517), (5519), (5526), (5527), (5717),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5720), (5723), (5740), (5742), (6378), (6381),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6385), (6390), (6393), (6400), (6401),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #598.
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6402) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6402) gives:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6403) all_57_7 = e0 & op(e1, e2) = e0
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (223), (224), (5728),
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6375), (6393), (6400), (6403) are inconsistent by
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #622.
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6404) all_57_13 = e0 & op(e0, e2) = e0
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6404) implies:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6405) all_57_13 = e0
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6406) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 222.17/37.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (217), (221), (222), (223), (224),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (230), (231),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (245),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (247), (257), (259), (267), (374), (5515), (5517),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5519), (5526), (5527), (5717), (5720),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5728), (5740), (5742), (5745), (6378),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6381), (6389), (6390), (6396), (6406),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #634.
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6407) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6407) gives:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6408) all_57_14 = e2 & op(e0, e1) = e2
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6408) implies:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6409) all_57_14 = e2
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6410) (all_57_12 = e1 & op(e0, e3) = e1) | (all_57_13 =
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6410) gives:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6411) all_57_12 = e1 & op(e0, e3) = e1
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6411) implies:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6412) op(e0, e3) = e1
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6413) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6413) gives:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6414) all_57_4 = e1 & op(e3, e1) = e1
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6414) implies:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6415) all_57_4 = e1
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (231), (5742), (6381), (6396),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6415), (function-axioms) are inconsistent by
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1675.
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6416) all_57_5 = e1 & op(e2, e1) = e1
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (208),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (212), (221), (225), (226), (228), (229),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (374),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5526), (5723), (5745), (6378), (6381), (6405),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6416), (function-axioms) are inconsistent by
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #620.
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6417) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6417) gives:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6418) all_57_8 = e1 & op(e1, e1) = e1
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6418) implies:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6419) op(e1, e1) = e1
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (207),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (211), (212), (216), (217), (226),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (231), (233), (237), (374),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5511), (5518), (5526), (5527), (5723), (5742),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5748), (6375), (6412), (6419), (function-axioms)
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #711.
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6420) all_57_14 = e1 & op(e0, e1) = e1
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (217), (221), (222), (223), (224),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (230), (231),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (245),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (247), (257), (259), (267), (374), (5515), (5517),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5519), (5526), (5527), (5717), (5720),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5728), (5740), (5742), (5745), (6378),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6381), (6389), (6390), (6396), (6420),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #632.
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6421) all_57_13 = e1 & op(e0, e2) = e1
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6421) implies:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6422) all_57_13 = e1
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (207),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (211), (212), (217), (223), (224),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (230), (231),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (236), (237), (374), (5518), (5526),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527), (5723), (5728), (5742), (5745), (6381),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6409), (6422), (function-axioms) are inconsistent
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #769.
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6423) (all_57_14 = e1 & op(e0, e1) = e1) | (all_57_15 =
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6423) gives:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6424) all_57_14 = e1 & op(e0, e1) = e1
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (217), (221), (222), (223), (224),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (230), (231),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (245),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (247), (257), (259), (267), (374), (5515), (5517),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5519), (5526), (5527), (5717), (5720),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5728), (5740), (5742), (5745), (6378),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6381), (6389), (6390), (6396), (6424),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #632.
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6425) all_57_15 = e1 & op(e0, e0) = e1
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6425) implies:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6426) op(e0, e0) = e1
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5527), (6426), (function-axioms) are
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2183.
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6427) all_57_15 = e2 & op(e0, e0) = e2
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (231), (233),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (5518), (5526), (5742), (6381), (6427),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #633.
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6428) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (208),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (374), (5526), (6428), (function-axioms)
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1794.
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6429) all_57_10 = e1 & op(e2, e0) = e1
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6389), (6429) are inconsistent by sub-proof
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2360.
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6430) (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 =
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527), (5728), (6364), (6393), (6430),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #618.
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6431) all_57_3 = e0 & op(e2, e2) = e0
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6431) implies:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6432) op(e2, e2) = e0
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5723), (6432), (function-axioms) are
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6433) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (191), (193),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (199), (201), (207), (208), (209), (211),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (221), (228), (231), (233), (245),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (247), (257), (259), (267), (374), (5515), (5517),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5519), (5526), (5527), (5717), (5720), (5723),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5740), (5742), (6364), (6378), (6385), (6390),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6433), (function-axioms) are inconsistent by
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #616.
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6434) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6434) gives:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6435) all_57_11 = e2 & op(e1, e0) = e2
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6364), (6435) are inconsistent by sub-proof
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1988.
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6436) all_57_15 = e2 & op(e0, e0) = e2
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (231), (233),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (5518), (5526), (5742), (6381), (6436),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #707.
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6437) all_57_9 = e0 & op(e3, e0) = e0
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6437) implies:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6438) all_57_9 = e0
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (211), (212), (5526),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6364), (6438) are inconsistent by sub-proof
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1144.
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6439) all_57_3 = e3 & op(e2, e2) = e3
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6439) implies:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6440) op(e2, e2) = e3
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5723), (6440), (function-axioms) are
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1912.
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6441) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6441) gives:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6442) all_57_7 = e3 & op(e1, e2) = e3
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6442) implies:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6443) all_57_7 = e3
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6375), (6443) imply:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6444) e3 = e1
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6444) implies:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6445) e3 = e1
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6378), (6445) imply:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6446) all_57_6 = e1
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (217), (219), (221), (222), (223),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (235), (236), (237), (245),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (247), (257), (259), (267), (374), (5515), (5517),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5519), (5526), (5527), (5717), (5720),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5728), (5740), (5742), (5745), (5858),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6364), (6443), (6446), (function-axioms) are
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #599.
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6447) all_57_13 = e3 & op(e0, e2) = e3
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6447) implies:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6448) all_57_13 = e3
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (208), (209),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5526), (5527), (6448), (function-axioms) are
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1792.
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (6449) all_57_7 = e3 & op(e1, e2) = e3
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6449) implies:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (6450) all_57_7 = e3
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6375), (6450) are inconsistent by sub-proof
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | | #2115.
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | (6451) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | (212), (374), (5526), (6451), (function-axioms)
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1786.
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | (6452) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5858), (6364), (6452), (function-axioms) are
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #910.
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | (6453) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | ALPHA: (6453) implies:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | (6454) op(e0, e0) = all_52_31
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | (6455) op(e0, e2) = all_52_27
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | (6456) op(all_52_31, all_52_31) = e0
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | (6457) op(all_52_27, all_52_27) = e2
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | (6458) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6458) gives:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | (6459) all_57_6 = e0 & op(e1, e3) = e0
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6459) implies:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | (6460) all_57_6 = e0
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | (6461) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_2 = e3
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6461) gives:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | (6462) all_57_0 = e3 & op(e3, e3) = e3
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6462) implies:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | (6463) op(e3, e3) = e3
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5742), (6463), (function-axioms) are
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2490.
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | (6464) all_57_2 = e3 & op(e2, e3) = e3
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6464) implies:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | (6465) all_57_2 = e3
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.66 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | (6466) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6466) gives:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (6467) all_57_6 = e3 & op(e1, e3) = e3
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6467) implies:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (6468) all_57_6 = e3
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (232), (234),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (5745), (6465), (6468), (function-axioms) are
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1286.
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (6469) all_57_7 = e3 & op(e1, e2) = e3
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6469) implies:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (6470) all_57_7 = e3
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6471) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (6460), (6470), (6471) are inconsistent
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #654.
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6472) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6472) gives:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6473) all_57_8 = e1 & op(e1, e1) = e1
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6473) implies:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6474) op(e1, e1) = e1
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (214), (215), (216), (217), (218),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (225), (226),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (245), (247), (257),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (259), (267), (374), (5511), (5515), (5517),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5519), (5526), (5527), (5717), (5720),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5728), (5740), (5742), (5745), (5748),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6454), (6456), (6474), (function-axioms) are
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #670.
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6475) all_57_11 = e1 & op(e1, e0) = e1
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6475) implies:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6476) all_57_11 = e1
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6477) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6477) gives:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6478) all_57_9 = e2 & op(e3, e0) = e2
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6478) implies:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6479) all_57_9 = e2
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (207),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (221), (223), (224), (226), (228),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (237), (374), (5518), (5526),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527), (5723), (5728), (5742), (6470), (6476),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6479), (function-axioms) are inconsistent by
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #653.
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6480) all_57_10 = e2 & op(e2, e0) = e2
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6480) implies:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6481) all_57_10 = e2
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6482) op(e2, e0) = e2
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (214), (215), (216), (217), (218),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (245), (247),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (257), (259), (267), (374), (5511), (5515),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5517), (5518), (5519), (5526), (5527), (5717),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5720), (5723), (5728), (5740), (5742), (5745),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5748), (6454), (6456), (6460), (6465), (6470),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6481), (6482), (function-axioms) are inconsistent
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #596.
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6483) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (223), (224), (225), (230), (232),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (5511), (5526), (5527), (5723), (5728),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5742), (5748), (6460), (6465), (6470), (6483),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #646.
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | (6484) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | (212), (374), (5526), (6484), (function-axioms)
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1786.
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | (6485) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_12 =
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6485) gives:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | (6486) all_57_6 = e3 & op(e1, e3) = e3
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6486) implies:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | (6487) all_57_6 = e3
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6460), (6487) are inconsistent by sub-proof
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | #1822.
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | (6488) all_57_12 = e3 & op(e0, e3) = e3
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6488) implies:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | (6489) all_57_12 = e3
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | (6490) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6490) gives:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (6491) all_57_6 = e3 & op(e1, e3) = e3
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6491) implies:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (6492) all_57_6 = e3
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6460), (6492) are inconsistent by sub-proof
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | #1822.
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (6493) all_57_7 = e3 & op(e1, e2) = e3
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6493) implies:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (6494) all_57_7 = e3
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6495) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (5728), (5742), (6460), (6489), (6494),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6495), (function-axioms) are inconsistent by
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #645.
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6496) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6496) gives:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6497) all_57_8 = e1 & op(e1, e1) = e1
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6497) implies:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6498) op(e1, e1) = e1
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (214), (215), (216), (217), (218),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (225), (226),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (245), (247), (257),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (259), (267), (374), (5511), (5515), (5517),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5519), (5526), (5527), (5717), (5720),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5728), (5740), (5742), (5745), (5748),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6454), (6456), (6498), (function-axioms) are
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #670.
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6499) all_57_11 = e1 & op(e1, e0) = e1
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6499) implies:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6500) all_57_11 = e1
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6501) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6501) gives:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6502) all_57_9 = e2 & op(e3, e0) = e2
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6502) implies:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6503) all_57_9 = e2
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (207),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (221), (223), (224), (226), (228),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (237), (374), (5518), (5526),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527), (5723), (5728), (5742), (6494), (6500),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6503), (function-axioms) are inconsistent by
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #653.
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6504) all_57_10 = e2 & op(e2, e0) = e2
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6504) implies:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6505) all_57_10 = e2
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6506) op(e2, e0) = e2
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6507) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (217), (221), (226), (227), (228),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (237), (245), (247), (257), (259),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (267), (374), (5515), (5517), (5518), (5519),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5526), (5527), (5717), (5720), (5723), (5740),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5742), (6460), (6494), (6506), (6507),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #644.
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6508) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6508) gives:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6509) all_57_8 = e0 & op(e1, e1) = e0
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6509) implies:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6510) all_57_8 = e0
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6511) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6511) gives:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6512) all_57_2 = e3 & op(e2, e3) = e3
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6512) implies:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6513) all_57_2 = e3
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (214), (215), (216), (217), (218),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (245), (247),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (257), (259), (267), (374), (5511), (5515),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5517), (5518), (5519), (5526), (5527), (5717),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5720), (5723), (5728), (5740), (5742), (5745),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5748), (6454), (6456), (6460), (6494), (6505),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6506), (6513), (function-axioms) are inconsistent
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #596.
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6514) all_57_3 = e3 & op(e2, e2) = e3
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6514) implies:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6515) op(e2, e2) = e3
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5723), (6515), (function-axioms) are
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1912.
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6516) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (216), (217), (221), (222), (223),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (236), (237), (245),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (247), (257), (259), (267), (374), (5511), (5515),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5517), (5518), (5519), (5526), (5527), (5717),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5720), (5723), (5728), (5740), (5742), (5745),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5748), (6489), (6494), (6505), (6506), (6510),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6516), (function-axioms) are inconsistent by
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #641.
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6517) all_57_14 = e0 & op(e0, e1) = e0
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6517) implies:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6518) all_57_14 = e0
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (208), (209), (5526),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6489), (6518) are inconsistent by sub-proof
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1763.
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6519) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6519) gives:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6520) all_57_11 = e2 & op(e1, e0) = e2
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6500), (6520) are inconsistent by sub-proof
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2048.
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6521) all_57_15 = e2 & op(e0, e0) = e2
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (374), (5526), (6460), (6494),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6521), (function-axioms) are inconsistent by
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1034.
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | (6522) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | (212), (374), (5526), (6522), (function-axioms)
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1786.
% 222.17/37.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | (6523) all_57_7 = e0 & op(e1, e2) = e0
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6523) implies:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | (6524) all_57_7 = e0
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | (211), (212), (214), (215), (216), (217), (218),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (245), (247),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | (257), (259), (267), (374), (5511), (5515),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | (5517), (5518), (5519), (5526), (5527), (5717),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | (5720), (5723), (5728), (5740), (5742), (5745),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | (5748), (6454), (6456), (6524), (function-axioms)
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #597.
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | (6525) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6525) gives:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | all_52_31, e0, e0, simplifying with (5527), (6454)
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | gives:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | (6526) all_52_31 = e3
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6456), (6526) imply:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | (6527) op(e3, e3) = e0
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5742), (6527), (function-axioms) are
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2403.
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | (6528) all_57_11 = e0 & op(e1, e0) = e0
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6528) implies:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | (6529) all_57_11 = e0
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | (6530) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6530) gives:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | (6531) all_57_6 = e1 & op(e1, e3) = e1
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6531) implies:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | (6532) all_57_6 = e1
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | (6533) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6533) gives:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (6534) all_57_6 = e3 & op(e1, e3) = e3
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6534) implies:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (6535) all_57_6 = e3
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6532), (6535) are inconsistent by sub-proof
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | #2017.
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (6536) all_57_7 = e3 & op(e1, e2) = e3
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6536) implies:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (6537) all_57_7 = e3
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (214), (215), (216), (217), (218),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (245), (247),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (257), (259), (267), (374), (5511), (5515),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (5517), (5518), (5519), (5526), (5527), (5717),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (5720), (5723), (5728), (5740), (5742), (5745),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (5748), (6454), (6456), (6529), (6532), (6537),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | #595.
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | (6538) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | (212), (374), (5526), (6538), (function-axioms)
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1786.
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | (6539) all_57_7 = e1 & op(e1, e2) = e1
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6539) implies:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | (6540) all_57_7 = e1
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | (6541) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6541) gives:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (6542) all_57_6 = e3 & op(e1, e3) = e3
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6542) implies:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (6543) all_57_6 = e3
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6544) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6544) gives:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6545) all_57_1 = e3 & op(e3, e2) = e3
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6545) implies:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6546) all_57_1 = e3
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6547) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (226), (227), (228), (374), (5526),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5742), (6543), (6546), (6547),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #625.
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6548) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6548) gives:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6549) all_57_4 = e0 & op(e3, e1) = e0
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6549) implies:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6550) all_57_4 = e0
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6551) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6551) gives:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6552) all_57_9 = e2 & op(e3, e0) = e2
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (207),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (211), (212), (217), (221), (222),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (235), (236), (237), (374),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5526), (5527), (5723), (5728), (5742),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6529), (6550), (6552), (function-axioms) are
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #624.
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6553) all_57_10 = e2 & op(e2, e0) = e2
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6553) implies:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6554) op(e2, e0) = e2
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6555) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6555) gives:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6556) all_57_2 = e0 & op(e2, e3) = e0
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6556) implies:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6557) all_57_2 = e0
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6558) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6558) gives:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6559) all_57_4 = e3 & op(e3, e1) = e3
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (191), (193),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (199), (201), (207), (211), (212), (217),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (231), (233), (245), (247), (257), (259),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (267), (374), (5515), (5517), (5519), (5526),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527), (5717), (5720), (5723), (5740), (5742),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6543), (6550), (6554), (6559), (function-axioms)
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #623.
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6560) all_57_5 = e3 & op(e2, e1) = e3
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6560) implies:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6561) all_57_5 = e3
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6562) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (191), (193),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (199), (201), (207), (208), (209), (211),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (221), (223), (224), (228), (231),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (245), (247), (257), (259), (267), (374),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5515), (5517), (5519), (5526), (5527), (5717),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5720), (5723), (5740), (5742), (6543), (6546),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6550), (6554), (6557), (6561), (6562),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #598.
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6563) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6563) gives:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6564) all_57_7 = e0 & op(e1, e2) = e0
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (223), (224), (5728),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6540), (6557), (6561), (6564) are inconsistent by
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #622.
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6565) all_57_13 = e0 & op(e0, e2) = e0
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6565) implies:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6566) op(e0, e2) = e0
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5527), (6454), (6455), (6457), (6566),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #858.
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6567) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (208),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (374), (5526), (6567), (function-axioms)
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1794.
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6568) all_57_3 = e0 & op(e2, e2) = e0
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6568) implies:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6569) op(e2, e2) = e0
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5723), (6569), (function-axioms) are
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6570) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (191), (193),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (199), (201), (207), (208), (209), (211),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (221), (228), (231), (233), (245),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (247), (257), (259), (267), (374), (5515), (5517),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5519), (5526), (5527), (5717), (5720), (5723),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5740), (5742), (6529), (6543), (6550), (6554),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6570), (function-axioms) are inconsistent by
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #616.
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6571) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6571) gives:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6572) all_57_11 = e2 & op(e1, e0) = e2
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6529), (6572) are inconsistent by sub-proof
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1988.
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6573) all_57_15 = e2 & op(e0, e0) = e2
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (231), (233),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (5518), (5526), (5742), (6546), (6573),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #707.
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6574) all_57_9 = e0 & op(e3, e0) = e0
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6574) implies:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6575) all_57_9 = e0
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (211), (212), (5526),
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6529), (6575) are inconsistent by sub-proof
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1144.
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6576) all_57_3 = e3 & op(e2, e2) = e3
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6576) implies:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6577) op(e2, e2) = e3
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5723), (6577), (function-axioms) are
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1912.
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6578) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6578) gives:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6579) all_57_7 = e3 & op(e1, e2) = e3
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6579) implies:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6580) all_57_7 = e3
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6540), (6580) imply:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6581) e3 = e1
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6581) implies:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6582) e3 = e1
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6543), (6582) imply:
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6583) all_57_6 = e1
% 222.17/37.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (214), (215), (216), (217), (218),
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (245), (247),
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (257), (259), (267), (374), (5511), (5515),
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5517), (5518), (5519), (5526), (5527), (5717),
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5720), (5723), (5728), (5740), (5742), (5745),
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5748), (6454), (6456), (6529), (6580), (6583),
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #595.
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6584) all_57_13 = e3 & op(e0, e2) = e3
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6584) implies:
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6585) all_57_13 = e3
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (208), (209),
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5526), (5527), (6585), (function-axioms) are
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1792.
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (6586) all_57_7 = e3 & op(e1, e2) = e3
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6586) implies:
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (6587) all_57_7 = e3
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6540), (6587) are inconsistent by sub-proof
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | | #2115.
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | (6588) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | (212), (374), (5526), (6588), (function-axioms)
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1786.
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | (6589) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6589) gives:
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | (6590) all_57_8 = e1 & op(e1, e1) = e1
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6590) implies:
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | (6591) op(e1, e1) = e1
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (118),
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | (119), (126), (140), (141), (145), (146), (147),
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | (149), (150), (159), (164), (165), (169), (191),
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | (193), (197), (199), (201), (207), (208), (209),
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (214), (215), (216), (217), (218),
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (225), (226),
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (245), (247), (257),
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | (259), (267), (374), (5511), (5515), (5517),
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | (5518), (5519), (5526), (5527), (5717), (5720),
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5728), (5740), (5742), (5745), (5748),
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | (6454), (6456), (6591), (function-axioms) are
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #670.
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | (6592) all_57_11 = e1 & op(e1, e0) = e1
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6592) implies:
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | (6593) all_57_11 = e1
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6529), (6593) are inconsistent by sub-proof
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | | #1862.
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.71 | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.71 | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | End of split
% 222.17/37.71 | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | End of split
% 222.17/37.71 | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | Case 2:
% 222.17/37.71 | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | (6594) all_57_1 = e2 & op(e3, e2) = e2
% 222.17/37.71 | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | ALPHA: (6594) implies:
% 222.17/37.71 | | | | | | | | | | | | | | | | (6595) all_57_1 = e2
% 222.17/37.71 | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (231), (233),
% 222.17/37.71 | | | | | | | | | | | | | | | | (237), (5518), (5742), (6595), (function-axioms)
% 222.17/37.71 | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1650.
% 222.17/37.71 | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | End of split
% 222.17/37.71 | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | Case 2:
% 222.17/37.71 | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | (6596) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 222.17/37.71 | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 222.17/37.71 | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | BETA: splitting (6596) gives:
% 222.17/37.71 | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | Case 1:
% 222.17/37.71 | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | (6597) all_57_4 = e2 & op(e3, e1) = e2
% 222.17/37.71 | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | ALPHA: (6597) implies:
% 222.17/37.71 | | | | | | | | | | | | | | | | (6598) all_57_4 = e2
% 222.17/37.71 | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 222.17/37.71 | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.71 | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | (6599) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 222.17/37.71 | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 222.17/37.71 | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (228), (229),
% 222.17/37.71 | | | | | | | | | | | | | | | | | (5723), (5742), (6599), (function-axioms) are
% 222.17/37.71 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1677.
% 222.17/37.71 | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.71 | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | (6600) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 222.17/37.71 | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 222.17/37.71 | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (169), (231), (237),
% 222.17/37.71 | | | | | | | | | | | | | | | | | (5518), (5742), (6598), (6600), (function-axioms)
% 222.17/37.71 | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #594.
% 222.17/37.71 | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | End of split
% 222.17/37.71 | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | Case 2:
% 222.17/37.71 | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | (6601) all_57_9 = e2 & op(e3, e0) = e2
% 222.17/37.71 | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | ALPHA: (6601) implies:
% 222.17/37.71 | | | | | | | | | | | | | | | | (6602) all_57_9 = e2
% 222.17/37.71 | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 222.17/37.71 | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.71 | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | (6603) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 222.17/37.71 | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 222.17/37.71 | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (228), (229),
% 222.17/37.71 | | | | | | | | | | | | | | | | | (5723), (5742), (6603), (function-axioms) are
% 222.17/37.71 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1677.
% 222.17/37.71 | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.71 | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | (6604) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 222.17/37.71 | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 222.17/37.71 | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | BETA: splitting (6604) gives:
% 222.17/37.71 | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.71 | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | (6605) all_57_4 = e1 & op(e3, e1) = e1
% 222.17/37.71 | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | ALPHA: (6605) implies:
% 222.17/37.71 | | | | | | | | | | | | | | | | | | (6606) all_57_4 = e1
% 222.17/37.71 | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 222.17/37.71 | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.71 | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | (6607) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_1 = e3
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 222.17/37.71 | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | BETA: splitting (6607) gives:
% 222.17/37.71 | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | (6608) all_57_0 = e3 & op(e3, e3) = e3
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | ALPHA: (6608) implies:
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | (6609) op(e3, e3) = e3
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5742), (6609), (function-axioms) are
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2490.
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | (6610) all_57_1 = e3 & op(e3, e2) = e3
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | ALPHA: (6610) implies:
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | (6611) all_57_1 = e3
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (231), (5742), (6602), (6606),
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | (6611), (function-axioms) are inconsistent by
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | sub-proof #842.
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.71 | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.71 | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | (6612) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_9 = e3
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 222.17/37.71 | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (169), (5518), (6606), (6612),
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | #2281.
% 222.17/37.71 | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.71 | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.71 | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | (6613) all_57_9 = e1 & op(e3, e0) = e1
% 222.17/37.71 | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6602), (6613) are inconsistent by sub-proof
% 222.17/37.71 | | | | | | | | | | | | | | | | | | #2451.
% 222.17/37.71 | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | End of split
% 222.17/37.71 | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | End of split
% 222.17/37.71 | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | End of split
% 222.17/37.71 | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | End of split
% 222.17/37.71 | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | End of split
% 222.17/37.71 | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | Case 2:
% 222.17/37.71 | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | (6614) all_18_2 = e0
% 222.17/37.71 | | | | | | | | | | | | | (6615) ( ~ (all_18_0 = e1) & op(all_18_1, e3) = all_18_0
% 222.17/37.71 | | | | | | | | | | | | | & op(e3, e0) = all_18_1 & $i(all_18_0) &
% 222.17/37.71 | | | | | | | | | | | | | $i(all_18_1)) | ( ~ (all_18_1 = e2) & op(e3, e0)
% 222.17/37.71 | | | | | | | | | | | | | = all_18_1 & $i(all_18_1))
% 222.17/37.71 | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | COMBINE_EQS: (327), (6614) imply:
% 222.17/37.71 | | | | | | | | | | | | | (6616) all_10_2 = e0
% 222.17/37.71 | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | SIMP: (6616) implies:
% 222.17/37.71 | | | | | | | | | | | | | (6617) all_10_2 = e0
% 222.17/37.71 | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | COMBINE_EQS: (279), (6617) imply:
% 222.17/37.71 | | | | | | | | | | | | | (6618) all_48_2 = e0
% 222.17/37.71 | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | REDUCE: (338), (6617) imply:
% 222.17/37.71 | | | | | | | | | | | | | (6619) ~ (all_53_1 = e0)
% 222.17/37.71 | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | REDUCE: (340), (6617) imply:
% 222.17/37.71 | | | | | | | | | | | | | (6620) ~ (all_53_2 = e0)
% 222.17/37.71 | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | REDUCE: (342), (6617) imply:
% 222.17/37.71 | | | | | | | | | | | | | (6621) ~ (all_53_3 = e0)
% 222.17/37.71 | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | REDUCE: (344), (6617) imply:
% 222.17/37.71 | | | | | | | | | | | | | (6622) ~ (all_53_4 = e0)
% 222.17/37.71 | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | REDUCE: (346), (6617) imply:
% 222.17/37.71 | | | | | | | | | | | | | (6623) ~ (all_53_8 = e0)
% 222.17/37.71 | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | REDUCE: (348), (6617) imply:
% 222.17/37.71 | | | | | | | | | | | | | (6624) ~ (all_53_12 = e0)
% 222.17/37.71 | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | REDUCE: (376), (6617) imply:
% 222.17/37.71 | | | | | | | | | | | | | (6625) ~ (e1 = e0)
% 222.17/37.71 | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | REDUCE: (45), (6617) imply:
% 222.17/37.71 | | | | | | | | | | | | | (6626) op(e3, e3) = e0
% 222.17/37.71 | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | BETA: splitting (230) gives:
% 222.17/37.71 | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | Case 1:
% 222.17/37.71 | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | (6627) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 222.17/37.71 | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 222.17/37.71 | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | BETA: splitting (6627) gives:
% 222.17/37.71 | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | Case 1:
% 222.17/37.71 | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | (6628) all_57_0 = e0 & op(e3, e3) = e0
% 222.17/37.71 | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | ALPHA: (6628) implies:
% 222.17/37.71 | | | | | | | | | | | | | | | (6629) all_57_0 = e0
% 222.17/37.71 | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 222.17/37.71 | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | Case 1:
% 222.17/37.71 | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | (6630) ~ (all_22_2 = e3)
% 222.17/37.71 | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | REDUCE: (5514), (6630) imply:
% 222.17/37.71 | | | | | | | | | | | | | | | | (6631) $false
% 222.17/37.71 | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | CLOSE: (6631) is inconsistent.
% 222.17/37.71 | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | Case 2:
% 222.17/37.71 | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | (6632) ( ~ (all_22_0 = e1) & op(all_22_1, e0) = all_22_0
% 222.17/37.71 | | | | | | | | | | | | | | | | & op(e0, e3) = all_22_1 & $i(all_22_0) &
% 222.17/37.71 | | | | | | | | | | | | | | | | $i(all_22_1)) | ( ~ (all_22_1 = e2) & op(e0, e3)
% 222.17/37.71 | | | | | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 222.17/37.71 | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 222.17/37.71 | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.71 | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | (6633) ~ (all_24_2 = e0)
% 222.17/37.71 | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | REDUCE: (315), (6633) imply:
% 222.17/37.71 | | | | | | | | | | | | | | | | | (6634) ~ (all_6_2 = e0)
% 222.17/37.71 | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 222.17/37.71 | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.71 | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | (6635) ~ (all_38_2 = e2)
% 222.17/37.71 | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | REDUCE: (249), (6635) imply:
% 222.17/37.71 | | | | | | | | | | | | | | | | | | (6636) ~ (all_6_2 = e2)
% 222.17/37.71 | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 222.17/37.71 | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.71 | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | (6637) all_55_10 = e3
% 222.17/37.71 | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (374), (6637) are inconsistent by sub-proof
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | #2500.
% 222.17/37.71 | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.71 | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | (6638) ~ (all_55_10 = e3)
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | (6639) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 222.17/37.71 | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | BETA: splitting (6639) gives:
% 222.17/37.71 | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | (6640) all_55_10 = e2
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (6636), (6640) are inconsistent by
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | sub-proof #2499.
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | |
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | (6641) ~ (all_55_10 = e2)
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | | (6642) all_55_10 = e1 | all_55_10 = e0
% 222.17/37.71 | | | | | | | | | | | | | | | | | | | |
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (39), (103), (107), (145), (160),
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | (164), (169), (197), (207), (208), (209), (211),
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | (212), (214), (215), (216), (217), (218), (219),
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (225), (226),
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (257), (336), (374),
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | (5511), (5518), (5526), (5527), (5723), (5728),
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | (6615), (6618), (6620), (6621), (6624), (6626),
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | (6629), (6632), (6634), (6636), (6642),
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | #963.
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | |
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.72 | | | | | | | | | | | | | | | | | | |
% 222.17/37.72 | | | | | | | | | | | | | | | | | | End of split
% 222.17/37.72 | | | | | | | | | | | | | | | | | |
% 222.17/37.72 | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.72 | | | | | | | | | | | | | | | | | |
% 222.17/37.72 | | | | | | | | | | | | | | | | | | (6643) all_38_2 = e2
% 222.17/37.72 | | | | | | | | | | | | | | | | | |
% 222.17/37.72 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (6643) imply:
% 222.17/37.72 | | | | | | | | | | | | | | | | | | (6644) all_6_2 = e2
% 222.17/37.72 | | | | | | | | | | | | | | | | | |
% 222.17/37.72 | | | | | | | | | | | | | | | | | | REDUCE: (350), (6644) imply:
% 222.17/37.72 | | | | | | | | | | | | | | | | | | (6645) ~ (all_53_2 = e2)
% 222.17/37.72 | | | | | | | | | | | | | | | | | |
% 222.17/37.72 | | | | | | | | | | | | | | | | | | REDUCE: (361), (6644) imply:
% 222.17/37.72 | | | | | | | | | | | | | | | | | | (6646) ~ (all_53_6 = e2)
% 222.17/37.72 | | | | | | | | | | | | | | | | | |
% 222.17/37.72 | | | | | | | | | | | | | | | | | | REDUCE: (363), (6644) imply:
% 222.17/37.72 | | | | | | | | | | | | | | | | | | (6647) ~ (all_53_8 = e2)
% 222.17/37.72 | | | | | | | | | | | | | | | | | |
% 222.17/37.72 | | | | | | | | | | | | | | | | | | REDUCE: (364), (6644) imply:
% 222.17/37.72 | | | | | | | | | | | | | | | | | | (6648) ~ (all_53_9 = e2)
% 222.17/37.72 | | | | | | | | | | | | | | | | | |
% 222.17/37.72 | | | | | | | | | | | | | | | | | | REDUCE: (366), (6644) imply:
% 222.17/37.72 | | | | | | | | | | | | | | | | | | (6649) ~ (all_53_11 = e2)
% 222.17/37.72 | | | | | | | | | | | | | | | | | |
% 222.17/37.72 | | | | | | | | | | | | | | | | | | REDUCE: (368), (6644) imply:
% 222.17/37.72 | | | | | | | | | | | | | | | | | | (6650) ~ (all_53_14 = e2)
% 222.17/37.72 | | | | | | | | | | | | | | | | | |
% 222.17/37.72 | | | | | | | | | | | | | | | | | | REDUCE: (374), (6644) imply:
% 222.17/37.72 | | | | | | | | | | | | | | | | | | (6651) ~ (e3 = e2)
% 222.17/37.72 | | | | | | | | | | | | | | | | | |
% 222.17/37.72 | | | | | | | | | | | | | | | | | | REDUCE: (39), (6644) imply:
% 222.17/37.72 | | | | | | | | | | | | | | | | | | (6652) op(e1, e1) = e2
% 222.17/37.72 | | | | | | | | | | | | | | | | | |
% 222.17/37.72 | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 222.17/37.72 | | | | | | | | | | | | | | | | | |
% 222.17/37.72 | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.72 | | | | | | | | | | | | | | | | | | |
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | (6653) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_7 = e2
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 222.17/37.72 | | | | | | | | | | | | | | | | | | |
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | BETA: splitting (6653) gives:
% 222.17/37.72 | | | | | | | | | | | | | | | | | | |
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | |
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | (6654) all_57_6 = e2 & op(e1, e3) = e2
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | |
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | ALPHA: (6654) implies:
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | (6655) all_57_6 = e2
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | |
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | |
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | | (6656) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6656) gives:
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | | | (6657) all_57_6 = e1 & op(e1, e3) = e1
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6657) implies:
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | | | (6658) all_57_6 = e1
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6655), (6658) are inconsistent by sub-proof
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | | | #2233.
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | | | (6659) all_57_7 = e1 & op(e1, e2) = e1
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | | |
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6659) implies:
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | | | (6660) all_57_7 = e1
% 222.17/37.72 | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | (212), (217), (374), (5526), (6655), (6660),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | #1245.
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | (6661) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6661) gives:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | (6662) all_57_8 = e1 & op(e1, e1) = e1
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6662) implies:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | (6663) op(e1, e1) = e1
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6652), (6663), (function-axioms) are
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2423.
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | (6664) all_57_11 = e1 & op(e1, e0) = e1
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6664) implies:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | (6665) all_57_11 = e1
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | (6666) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6666) gives:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | (6667) all_57_0 = e1 & op(e3, e3) = e1
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6629), (6667) are inconsistent by sub-proof
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | #2454.
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | (6668) all_57_2 = e1 & op(e2, e3) = e1
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6668) implies:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | (6669) all_57_2 = e1
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (111),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | (118), (119), (121), (122), (124), (127), (129),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (137), (142), (144), (145), (146),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | (147), (149), (150), (158), (159), (160), (161),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (169), (171), (191), (193), (194),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | (196), (197), (198), (199), (201), (202), (203),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | (204), (207), (208), (209), (211), (212), (214),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (221),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (245), (247), (248), (256), (257),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | (258), (259), (267), (268), (269), (270), (374),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | (5511), (5515), (5517), (5518), (5519), (5520),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | (5526), (5527), (5717), (5718), (5719), (5720),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | (5721), (5723), (5728), (6619), (6620), (6621),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | (6622), (6623), (6624), (6626), (6629), (6632),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | (6645), (6646), (6647), (6648), (6649), (6650),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | (6652), (6655), (6669), (function-axioms) are
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #572.
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | (6670) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6670) gives:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | (6671) all_57_6 = e1 & op(e1, e3) = e1
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6671) implies:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | (6672) all_57_6 = e1
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6655), (6672) are inconsistent by sub-proof
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | #2233.
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | (6673) all_57_12 = e1 & op(e0, e3) = e1
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6673) implies:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | (6674) all_57_12 = e1
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | (6675) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_2 = e3
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6675) gives:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (6676) all_57_0 = e3 & op(e3, e3) = e3
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6676) implies:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (6677) op(e3, e3) = e3
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6626), (6677), (function-axioms) are
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2494.
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (6678) all_57_2 = e3 & op(e2, e3) = e3
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6678) implies:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (6679) all_57_2 = e3
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6680) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6680) gives:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6681) all_57_6 = e3 & op(e1, e3) = e3
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6681) implies:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6682) all_57_6 = e3
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (6626), (6674), (6679),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6682), (function-axioms) are inconsistent by
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1288.
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6683) all_57_7 = e3 & op(e1, e2) = e3
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6683) implies:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6684) all_57_7 = e3
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6685) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6685) gives:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6686) all_57_1 = e0 & op(e3, e2) = e0
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6686) implies:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6687) all_57_1 = e0
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6688) all_57_15 = e0 & op(e0, e0) = e0
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6688) implies:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6689) op(e0, e0) = e0
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5527), (6689), (function-axioms) are
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6690) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6690) implies:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6691) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6692) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6692) gives:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6693) all_57_1 = e2 & op(e3, e2) = e2
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6693) implies:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6694) all_57_1 = e2
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6687), (6694) imply:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6695) e2 = e0
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6695) implies:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6696) e2 = e0
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6655), (6696) imply:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6697) all_57_6 = e0
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (234), (236), (374), (5526), (6626),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6674), (6697), (function-axioms) are inconsistent
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1028.
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6698) all_57_3 = e2 & op(e2, e2) = e2
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6698) implies:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6699) op(e2, e2) = e2
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5723), (6699), (function-axioms) are
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6700) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6700) gives:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6701) all_57_7 = e2 & op(e1, e2) = e2
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6701) implies:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6702) all_57_7 = e2
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (111),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (119), (121), (122), (124), (127), (129),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (137), (142), (144), (145), (146),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (147), (149), (150), (158), (159), (160), (161),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (169), (171), (191), (193), (194),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (197), (198), (199), (201), (202), (203),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (207), (208), (209), (211), (212), (214),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (221),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (245), (247), (248), (256), (257),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (259), (267), (268), (269), (270), (374),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5511), (5515), (5517), (5518), (5519), (5520),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5526), (5527), (5717), (5718), (5719), (5720),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5721), (5723), (5728), (6619), (6620), (6621),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6622), (6623), (6624), (6626), (6629), (6632),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6645), (6646), (6647), (6648), (6649), (6650),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6652), (6702), (function-axioms) are inconsistent
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #577.
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6703) all_57_13 = e2 & op(e0, e2) = e2
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6703) implies:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6704) all_57_13 = e2
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (111),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (119), (121), (122), (124), (127), (129),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (137), (142), (144), (145), (146),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (147), (149), (150), (158), (159), (160), (161),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (169), (171), (191), (193), (194),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (197), (198), (199), (201), (202), (203),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (207), (208), (209), (211), (212), (214),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (221),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (245), (247), (248), (256), (257),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (259), (267), (268), (269), (270), (374),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5511), (5515), (5517), (5518), (5519), (5520),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5526), (5527), (5717), (5718), (5719), (5720),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5721), (5723), (5728), (6619), (6620), (6621),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6622), (6623), (6624), (6626), (6629), (6632),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6645), (6646), (6647), (6648), (6649), (6650),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6652), (6655), (6674), (6679), (6684), (6687),
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6691), (6704), (function-axioms) are inconsistent
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #568.
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6705) all_57_3 = e0 & op(e2, e2) = e0
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6705) implies:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6706) op(e2, e2) = e0
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5723), (6706), (function-axioms) are
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6707) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6707) gives:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6708) all_57_7 = e0 & op(e1, e2) = e0
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6708) implies:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6709) all_57_7 = e0
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (169),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (211), (212), (214), (215),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (223),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (5518), (5526), (5527), (5723), (5728),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6621), (6624), (6626), (6674), (6679), (6709),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1014.
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6710) all_57_13 = e0 & op(e0, e2) = e0
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6710) implies:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6711) all_57_13 = e0
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6712) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6712) gives:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6713) all_57_2 = e2 & op(e2, e3) = e2
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6713) implies:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6714) all_57_2 = e2
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (236), (6626), (6655), (6674),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6714), (function-axioms) are inconsistent by
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1212.
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6715) all_57_3 = e2 & op(e2, e2) = e2
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6715) implies:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6716) op(e2, e2) = e2
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5723), (6716), (function-axioms) are
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6717) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6717) gives:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6718) all_57_5 = e2 & op(e2, e1) = e2
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6718) implies:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6719) all_57_5 = e2
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6720) all_57_15 = e0 & op(e0, e0) = e0
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6720) implies:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6721) op(e0, e0) = e0
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5527), (6721), (function-axioms) are
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6722) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6722) implies:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6723) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6724) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6724) gives:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6725) all_57_1 = e2 & op(e3, e2) = e2
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6725) implies:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6726) all_57_1 = e2
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6727) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_1 = e3
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6727) gives:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6728) all_57_0 = e3 & op(e3, e3) = e3
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6728) implies:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6729) op(e3, e3) = e3
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6626), (6729), (function-axioms) are
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2494.
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6730) all_57_1 = e3 & op(e3, e2) = e3
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6730) implies:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6731) all_57_1 = e3
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6726), (6731) imply:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6732) e3 = e2
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6732) implies:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6733) e3 = e2
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6679), (6733) imply:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6734) all_57_2 = e2
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (236), (6626), (6655), (6674),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6734), (function-axioms) are inconsistent by
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1212.
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6735) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_9 = e3
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6735) gives:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6736) all_57_4 = e3 & op(e3, e1) = e3
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6736) implies:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6737) all_57_4 = e3
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6738) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6738) gives:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6739) all_57_4 = e1 & op(e3, e1) = e1
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6739) implies:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6740) all_57_4 = e1
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6737), (6740) imply:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6741) e3 = e1
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6741) implies:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6742) e3 = e1
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6679), (6742) imply:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6743) all_57_2 = e1
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (111),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (119), (121), (122), (124), (127), (129),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (137), (142), (144), (145), (146),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (147), (149), (150), (158), (159), (160), (161),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (169), (171), (191), (193), (194),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (197), (198), (199), (201), (202), (203),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (207), (208), (209), (211), (212), (214),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (221),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (245), (247), (248), (256), (257),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (259), (267), (268), (269), (270), (374),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5511), (5515), (5517), (5518), (5519), (5520),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5526), (5527), (5717), (5718), (5719), (5720),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5721), (5723), (5728), (6619), (6620), (6621),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6622), (6623), (6624), (6626), (6629), (6632),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6645), (6646), (6647), (6648), (6649), (6650),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6652), (6655), (6743), (function-axioms) are
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #572.
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6744) all_57_5 = e1 & op(e2, e1) = e1
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6744) implies:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6745) all_57_5 = e1
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6719), (6745) imply:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6746) e2 = e1
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (226), (228), (5723),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6684), (6726), (6746), (function-axioms) are
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #593.
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6747) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6747) gives:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6748) all_57_8 = e1 & op(e1, e1) = e1
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6748) implies:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6749) op(e1, e1) = e1
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6652), (6749), (function-axioms) are
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2423.
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6750) all_57_14 = e1 & op(e0, e1) = e1
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6750) implies:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6751) all_57_14 = e1
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6752) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6752) gives:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6753) all_57_12 = e2 & op(e0, e3) = e2
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6753) implies:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6754) all_57_12 = e2
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (232), (6629), (6655), (6679),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6754) are inconsistent by sub-proof #1927.
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6755) all_57_13 = e2 & op(e0, e2) = e2
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6755) implies:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6756) all_57_13 = e2
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6711), (6756) imply:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6757) e2 = e0
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6726), (6757) imply:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6758) all_57_1 = e0
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (111),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (119), (121), (122), (124), (127), (129),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (137), (142), (144), (145), (146),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (147), (149), (150), (158), (159), (160), (161),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (169), (171), (191), (193), (194),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (197), (198), (199), (201), (202), (203),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (207), (208), (209), (211), (212), (214),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (221),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (245), (247), (248), (256), (257),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (259), (267), (268), (269), (270), (374),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5511), (5515), (5517), (5518), (5519), (5520),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5526), (5527), (5717), (5718), (5719), (5720),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5721), (5723), (5728), (6619), (6620), (6621),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6622), (6623), (6624), (6626), (6629), (6632),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6645), (6646), (6647), (6648), (6649), (6650),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6652), (6655), (6674), (6679), (6684), (6723),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6756), (6758), (function-axioms) are inconsistent
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #568.
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6759) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6759) gives:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6760) all_57_14 = e2 & op(e0, e1) = e2
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6760) implies:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6761) all_57_14 = e2
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (226), (228), (5723),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6684), (6726), (6751), (6761), (function-axioms)
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #660.
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6762) all_57_15 = e2 & op(e0, e0) = e2
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6762) implies:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6763) all_57_15 = e2
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5526), (6763) imply:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6764) e3 = e2
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6764) implies:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6765) e3 = e2
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6679), (6765) imply:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6766) all_57_2 = e2
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (236), (6626), (6655), (6674),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6766), (function-axioms) are inconsistent by
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1212.
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6767) all_57_9 = e3 & op(e3, e0) = e3
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6767) implies:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6768) op(e3, e0) = e3
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5518), (6768), (function-axioms) are
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2458.
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6769) all_57_3 = e2 & op(e2, e2) = e2
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6769) implies:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6770) op(e2, e2) = e2
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5723), (6770), (function-axioms) are
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6771) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6771) gives:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6772) all_57_7 = e2 & op(e1, e2) = e2
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6772) implies:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6773) all_57_7 = e2
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (111),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (119), (121), (122), (124), (127), (129),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (137), (142), (144), (145), (146),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (147), (149), (150), (158), (159), (160), (161),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (169), (171), (191), (193), (194),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (197), (198), (199), (201), (202), (203),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (207), (208), (209), (211), (212), (214),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (221),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (245), (247), (248), (256), (257),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (259), (267), (268), (269), (270), (374),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5511), (5515), (5517), (5518), (5519), (5520),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5526), (5527), (5717), (5718), (5719), (5720),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5721), (5723), (5728), (6619), (6620), (6621),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6622), (6623), (6624), (6626), (6629), (6632),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6645), (6646), (6647), (6648), (6649), (6650),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6652), (6773), (function-axioms) are inconsistent
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #577.
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6774) all_57_13 = e2 & op(e0, e2) = e2
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6774) implies:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6775) all_57_13 = e2
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6711), (6775) imply:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6776) e2 = e0
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6776) implies:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6777) e2 = e0
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6655), (6777) imply:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6778) all_57_6 = e0
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (234), (236), (374), (5526), (6626),
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6674), (6778), (function-axioms) are inconsistent
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1028.
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6779) all_57_10 = e2 & op(e2, e0) = e2
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6779) implies:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6780) all_57_10 = e2
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6781) all_57_15 = e0 & op(e0, e0) = e0
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6781) implies:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6782) op(e0, e0) = e0
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5527), (6782), (function-axioms) are
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6783) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6783) implies:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6784) (all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 & op(e1,
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6784) gives:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6785) all_57_9 = e0 & op(e3, e0) = e0
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (6624), (6785), (function-axioms) are
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2434.
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6786) (all_57_10 = e0 & op(e2, e0) = e0) | (all_57_11 =
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6786) gives:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6787) all_57_10 = e0 & op(e2, e0) = e0
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6787) implies:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6788) all_57_10 = e0
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6780), (6788) imply:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6789) e2 = e0
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6655), (6789) imply:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6790) all_57_6 = e0
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (234), (236), (374), (5526), (6626),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6674), (6790), (function-axioms) are inconsistent
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1028.
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6791) all_57_11 = e0 & op(e1, e0) = e0
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6665), (6791) are inconsistent by sub-proof
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1257.
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6792) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (374), (5526), (6792), (function-axioms)
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1786.
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | (6793) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_12 =
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (6655), (6674), (6793) are inconsistent
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #990.
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (6794) all_57_7 = e2 & op(e1, e2) = e2
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | ALPHA: (6794) implies:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (6795) all_57_7 = e2
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (111),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (118), (119), (121), (122), (124), (127), (129),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (134), (135), (137), (142), (144), (145), (146),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (147), (149), (150), (158), (159), (160), (161),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (164), (165), (169), (171), (191), (193), (194),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (196), (197), (198), (199), (201), (202), (203),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (204), (207), (208), (209), (211), (212), (214),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (221),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (236), (237), (245), (247), (248), (256), (257),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (258), (259), (267), (268), (269), (270), (374),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (5511), (5515), (5517), (5518), (5519), (5520),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (5526), (5527), (5717), (5718), (5719), (5720),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (5721), (5723), (5728), (6619), (6620), (6621),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (6622), (6623), (6624), (6626), (6629), (6632),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (6645), (6646), (6647), (6648), (6649), (6650),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (6652), (6795), (function-axioms) are inconsistent
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | by sub-proof #577.
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.74 | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | (6796) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_11 =
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 222.54/37.74 | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | BETA: splitting (6796) gives:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (6797) all_57_8 = e2 & op(e1, e1) = e2
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (39), (107), (111), (118),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (119), (121), (122), (124), (127), (129), (134),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (135), (137), (142), (144), (145), (146), (147),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (149), (150), (158), (159), (160), (161), (164),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (165), (169), (171), (191), (193), (194), (196),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (197), (198), (199), (201), (202), (203), (204),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (211), (212), (214), (215),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (222),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (229),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (237), (245), (247), (248), (256), (257), (258),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (259), (267), (268), (269), (270), (374), (5511),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (5515), (5517), (5518), (5519), (5520), (5526),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (5527), (5717), (5718), (5719), (5720), (5721),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (5723), (5728), (6619), (6620), (6621), (6622),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (6623), (6624), (6626), (6629), (6632), (6645),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (6646), (6647), (6648), (6649), (6650), (6797),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | #581.
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (6798) all_57_11 = e2 & op(e1, e0) = e2
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | ALPHA: (6798) implies:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (6799) all_57_11 = e2
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | (6800) op(e1, e0) = e2
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | (6801) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6801) gives:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | (6802) all_57_6 = e0 & op(e1, e3) = e0
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6802) implies:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | (6803) all_57_6 = e0
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (169),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | (207), (208), (211), (212), (217), (226), (227),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | (228), (229), (231), (232), (234), (236), (237),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | (374), (5518), (5526), (5527), (5723), (5728),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | (6621), (6624), (6626), (6803), (function-axioms)
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #983.
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | (6804) all_57_7 = e0 & op(e1, e2) = e0
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6804) implies:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | (6805) all_57_7 = e0
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | (212), (215), (217), (374), (5526), (6652),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | (6799), (6805), (function-axioms) are inconsistent
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1154.
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | (6806) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6806) gives:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | (6807) all_57_8 = e0 & op(e1, e1) = e0
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6807) implies:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | (6808) all_57_8 = e0
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | (6809) op(e1, e1) = e0
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | (6810) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 =
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6810) gives:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | (6811) all_57_9 = e1 & op(e3, e0) = e1
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6811) implies:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | (6812) all_57_9 = e1
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | (6813) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6813) gives:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (6814) all_57_6 = e1 & op(e1, e3) = e1
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6814) implies:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (6815) all_57_6 = e1
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6816) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6816) gives:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6817) all_57_6 = e3 & op(e1, e3) = e3
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6817) implies:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6818) all_57_6 = e3
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6815), (6818) are inconsistent by sub-proof
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2017.
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6819) all_57_7 = e3 & op(e1, e2) = e3
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6819) implies:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6820) all_57_7 = e3
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (111),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (119), (121), (122), (124), (127), (129),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (137), (142), (144), (145), (146),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (147), (149), (150), (158), (159), (160), (161),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (169), (171), (191), (193), (194),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (197), (198), (199), (201), (202), (203),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (207), (208), (209), (211), (212), (214),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (221),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (245), (247), (248), (256), (257),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (259), (267), (268), (269), (270), (374),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5511), (5515), (5517), (5518), (5519), (5520),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5526), (5527), (5717), (5718), (5719), (5720),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5721), (5723), (5728), (6619), (6620), (6621),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6622), (6623), (6624), (6626), (6629), (6632),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6645), (6646), (6647), (6648), (6649), (6650),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6652), (6799), (6800), (6808), (6809), (6811),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6812), (6815), (6820), (function-axioms) are
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #565.
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6821) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (374), (5526), (6821), (function-axioms)
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1786.
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (6822) all_57_7 = e1 & op(e1, e2) = e1
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6822) implies:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (6823) all_57_7 = e1
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6824) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6824) gives:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6825) all_57_6 = e3 & op(e1, e3) = e3
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6825) implies:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6826) all_57_6 = e3
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6827) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6827) gives:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6828) all_57_0 = e2 & op(e3, e3) = e2
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6828) implies:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6829) op(e3, e3) = e2
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6626), (6829), (function-axioms) are
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2403.
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6830) all_57_1 = e2 & op(e3, e2) = e2
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6830) implies:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6831) all_57_1 = e2
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (111),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (119), (121), (122), (124), (127), (129),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (137), (142), (144), (145), (146),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (147), (149), (150), (158), (159), (160), (161),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (169), (171), (191), (193), (194),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (197), (198), (199), (201), (202), (203),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (207), (208), (209), (211), (212), (214),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (221),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (245), (247), (248), (256), (257),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (259), (267), (268), (269), (270), (374),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5511), (5515), (5517), (5518), (5519), (5520),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5526), (5527), (5717), (5718), (5719), (5720),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5721), (5723), (5728), (6619), (6620), (6621),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6622), (6623), (6624), (6626), (6629), (6632),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6645), (6646), (6647), (6648), (6649), (6650),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6652), (6799), (6800), (6808), (6809), (6811),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6812), (6823), (6826), (6831), (function-axioms)
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #563.
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6832) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6832) gives:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6833) all_57_4 = e2 & op(e3, e1) = e2
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6833) implies:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6834) all_57_4 = e2
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6835) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6835) gives:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6836) all_57_1 = e3 & op(e3, e2) = e3
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6836) implies:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6837) all_57_1 = e3
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6838) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6838) gives:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6839) all_57_4 = e3 & op(e3, e1) = e3
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6839) implies:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6840) all_57_4 = e3
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (235),
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6626), (6837), (6840), (function-axioms) are
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1220.
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6841) all_57_5 = e3 & op(e2, e1) = e3
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6841) implies:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6842) all_57_5 = e3
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6843) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 222.54/37.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (223), (224), (232),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (5723), (5728), (6626), (6629), (6826),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6842), (6843), (function-axioms) are inconsistent
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1009.
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6844) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6844) gives:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6845) all_57_5 = e0 & op(e2, e1) = e0
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (226), (227), (228), (374), (5526),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (6826), (6837), (6842), (6845),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1772.
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6846) all_57_10 = e0 & op(e2, e0) = e0
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6846) implies:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6847) all_57_10 = e0
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6848) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6848) gives:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6849) all_57_1 = e2 & op(e3, e2) = e2
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6849) implies:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6850) all_57_1 = e2
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (111),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (119), (121), (122), (124), (127), (129),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (137), (142), (144), (145), (146),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (147), (149), (150), (158), (159), (160), (161),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (169), (171), (191), (193), (194),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (197), (198), (199), (201), (202), (203),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (207), (208), (209), (211), (212), (214),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (221),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (245), (247), (248), (256), (257),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (259), (267), (268), (269), (270), (374),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5511), (5515), (5517), (5518), (5519), (5520),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5526), (5527), (5717), (5718), (5719), (5720),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5721), (5723), (5728), (6619), (6620), (6621),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6622), (6623), (6624), (6626), (6629), (6632),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6645), (6646), (6647), (6648), (6649), (6650),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6652), (6799), (6800), (6808), (6809), (6811),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6812), (6823), (6826), (6850), (function-axioms)
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #563.
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6851) all_57_3 = e2 & op(e2, e2) = e2
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6851) implies:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6852) op(e2, e2) = e2
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5723), (6852), (function-axioms) are
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6853) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6853) gives:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6854) all_57_7 = e2 & op(e1, e2) = e2
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6854) implies:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6855) all_57_7 = e2
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (111),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (119), (121), (122), (124), (127), (129),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (137), (142), (144), (145), (146),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (147), (149), (150), (158), (159), (160), (161),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (169), (171), (191), (193), (194),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (197), (198), (199), (201), (202), (203),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (207), (208), (209), (211), (212), (214),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (221),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (245), (247), (248), (256), (257),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (259), (267), (268), (269), (270), (374),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5511), (5515), (5517), (5518), (5519), (5520),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5526), (5527), (5717), (5718), (5719), (5720),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5721), (5723), (5728), (6619), (6620), (6621),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6622), (6623), (6624), (6626), (6629), (6632),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6645), (6646), (6647), (6648), (6649), (6650),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6652), (6826), (6837), (6855), (function-axioms)
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #579.
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6856) all_57_13 = e2 & op(e0, e2) = e2
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6856) implies:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6857) all_57_13 = e2
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6858) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6858) gives:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6859) all_57_4 = e1 & op(e3, e1) = e1
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6834), (6859) are inconsistent by sub-proof
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2452.
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6860) all_57_5 = e1 & op(e2, e1) = e1
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (228), (229),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (6837), (6842), (6860), (function-axioms)
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #580.
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6861) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6861) gives:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6862) all_57_8 = e1 & op(e1, e1) = e1
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6862) implies:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6863) op(e1, e1) = e1
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6652), (6863), (function-axioms) are
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2423.
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6864) all_57_14 = e1 & op(e0, e1) = e1
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6864) implies:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6865) all_57_14 = e1
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6866) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6866) gives:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6867) all_57_1 = e0 & op(e3, e2) = e0
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (226), (227), (228), (374), (5526),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (6826), (6837), (6867), (function-axioms)
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #725.
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6868) all_57_3 = e0 & op(e2, e2) = e0
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6868) implies:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6869) all_57_3 = e0
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (223), (224), (6842),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6847), (6869) are inconsistent by sub-proof
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1518.
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6870) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6870) gives:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6871) all_57_7 = e0 & op(e1, e2) = e0
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6871) implies:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6872) all_57_7 = e0
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (215), (217), (374), (5526), (6652),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6799), (6872), (function-axioms) are inconsistent
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1154.
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6873) all_57_13 = e0 & op(e0, e2) = e0
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6873) implies:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6874) all_57_13 = e0
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6857), (6874) imply:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6875) e2 = e0
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6875) implies:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6876) e2 = e0
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6834), (6876) imply:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6877) all_57_4 = e0
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (219), (226),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (233), (235), (237), (5518), (5723),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6626), (6629), (6652), (6842), (6865), (6877),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #928.
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6878) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (208),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (374), (5526), (6878), (function-axioms)
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1794.
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6879) all_57_3 = e3 & op(e2, e2) = e3
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6879) implies:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6880) op(e2, e2) = e3
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5723), (6880), (function-axioms) are
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1912.
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6881) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (107), (111),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (119), (121), (122), (124), (127), (129),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (135), (137), (142), (144), (145), (146),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (147), (149), (150), (158), (159), (160), (161),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (169), (171), (191), (193), (194),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (197), (198), (199), (201), (202), (203),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (204), (207), (208), (209), (211), (212), (214),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (218), (219), (220), (221),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (245), (247), (248), (256), (257),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (259), (267), (268), (269), (270), (374),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5511), (5515), (5517), (5518), (5519), (5520),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5526), (5527), (5717), (5718), (5719), (5720),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5721), (5723), (5728), (6619), (6620), (6621),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6622), (6623), (6624), (6626), (6629), (6632),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6645), (6646), (6647), (6648), (6649), (6650),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6652), (6799), (6800), (6808), (6809), (6811),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6812), (6823), (6826), (6881), (function-axioms)
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #564.
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6882) all_57_9 = e2 & op(e3, e0) = e2
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6882) implies:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6883) all_57_9 = e2
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6812), (6883) are inconsistent by sub-proof
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2444.
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6884) all_57_7 = e3 & op(e1, e2) = e3
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6884) implies:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6885) all_57_7 = e3
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6823), (6885) are inconsistent by sub-proof
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2115.
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6886) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (374), (5526), (6886), (function-axioms)
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1786.
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | (6887) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6652), (6799), (6887), (function-axioms) are
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1725.
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | (6888) all_57_10 = e1 & op(e2, e0) = e1
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6888) implies:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | (6889) all_57_10 = e1
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | (6890) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6890) gives:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (6891) all_57_6 = e1 & op(e1, e3) = e1
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6891) implies:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (6892) all_57_6 = e1
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6893) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6893) gives:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6894) all_57_2 = e2 & op(e2, e3) = e2
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6894) implies:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6895) all_57_2 = e2
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6896) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (169),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (211), (212), (214), (215),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (223),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (5518), (5526), (5527), (5723), (5728),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6621), (6624), (6626), (6896), (function-axioms)
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #916.
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6897) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6897) gives:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6898) all_57_5 = e0 & op(e2, e1) = e0
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6898) implies:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6899) all_57_5 = e0
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (211), (212),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (5526), (5723), (6799), (6895), (6899),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #683.
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6900) all_57_10 = e0 & op(e2, e0) = e0
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6900) implies:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6901) all_57_10 = e0
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6889), (6901) imply:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6902) e1 = e0
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6892), (6902) imply:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6903) all_57_6 = e0
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (169),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (211), (212), (217), (226), (227),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (231), (232), (234), (236), (237),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (5518), (5526), (5527), (5723), (5728),
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6621), (6624), (6626), (6903), (function-axioms)
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #983.
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6904) all_57_3 = e2 & op(e2, e2) = e2
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6904) implies:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6905) op(e2, e2) = e2
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5723), (6905), (function-axioms) are
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6906) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 222.54/37.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (169),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (211), (212), (214), (215),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (222),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (229),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (374), (5518), (5526), (5527), (5723),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5728), (6621), (6624), (6626), (6889), (6892),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6906), (function-axioms) are inconsistent by
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #914.
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (6907) all_57_7 = e1 & op(e1, e2) = e1
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6907) implies:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (6908) all_57_7 = e1
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6909) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6909) gives:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6910) all_57_2 = e2 & op(e2, e3) = e2
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6910) implies:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6911) all_57_2 = e2
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6912) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (169),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (211), (212), (214), (215),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (223),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (5518), (5526), (5527), (5723), (5728),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6621), (6624), (6626), (6912), (function-axioms)
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #916.
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6913) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6913) gives:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6914) all_57_5 = e0 & op(e2, e1) = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6914) implies:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6915) all_57_5 = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (211), (212),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (5526), (5723), (6799), (6911), (6915),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #683.
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6916) all_57_10 = e0 & op(e2, e0) = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6916) implies:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6917) all_57_10 = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6889), (6917) imply:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6918) e1 = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6908), (6918) imply:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6919) all_57_7 = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (215), (217), (374), (5526), (6652),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6799), (6919), (function-axioms) are inconsistent
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1154.
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6920) all_57_3 = e2 & op(e2, e2) = e2
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6920) implies:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6921) op(e2, e2) = e2
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5723), (6921), (function-axioms) are
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6922) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6922) gives:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6923) all_57_5 = e2 & op(e2, e1) = e2
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6923) implies:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6924) all_57_5 = e2
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6925) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (169),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (211), (212), (214), (215),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (223),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (5518), (5526), (5527), (5723), (5728),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6621), (6624), (6626), (6925), (function-axioms)
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #916.
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6926) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6926) gives:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6927) all_57_5 = e0 & op(e2, e1) = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6924), (6927) are inconsistent by sub-proof
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2428.
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6928) all_57_10 = e0 & op(e2, e0) = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6928) implies:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6929) all_57_10 = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6889), (6929) imply:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6930) e1 = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6930) implies:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6931) e1 = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6908), (6931) imply:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6932) all_57_7 = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (215), (217), (374), (5526), (6652),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6799), (6932), (function-axioms) are inconsistent
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1154.
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6933) all_57_10 = e2 & op(e2, e0) = e2
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6933) implies:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6934) all_57_10 = e2
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6889), (6934) are inconsistent by sub-proof
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2144.
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | (6935) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6652), (6799), (6935), (function-axioms) are
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1725.
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | (6936) (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 =
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (5527), (6799), (6936),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | #1109.
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | (6937) all_57_11 = e0 & op(e1, e0) = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6937) implies:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | (6938) all_57_11 = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6799), (6938) are inconsistent by sub-proof
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | #1949.
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.76 | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.76 | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | End of split
% 222.54/37.76 | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.76 | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | (6939) all_24_2 = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | COMBINE_EQS: (315), (6939) imply:
% 222.54/37.76 | | | | | | | | | | | | | | | | | (6940) all_6_2 = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | SIMP: (6940) implies:
% 222.54/37.76 | | | | | | | | | | | | | | | | | (6941) all_6_2 = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | REDUCE: (374), (6941) imply:
% 222.54/37.76 | | | | | | | | | | | | | | | | | (6942) ~ (e3 = e0)
% 222.54/37.76 | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | REDUCE: (39), (6941) imply:
% 222.54/37.76 | | | | | | | | | | | | | | | | | (6943) op(e1, e1) = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 222.54/37.76 | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.76 | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | (6944) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 222.54/37.76 | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | BETA: splitting (6944) gives:
% 222.54/37.76 | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | (6945) all_57_1 = e0 & op(e3, e2) = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | ALPHA: (6945) implies:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | (6946) all_57_1 = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (207), (208),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | (209), (226), (227), (228), (229), (233), (235),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | (237), (5518), (5526), (5527), (5723), (5728),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | (6626), (6629), (6946), (function-axioms) are
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #824.
% 222.54/37.76 | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | (6947) all_57_3 = e0 & op(e2, e2) = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | ALPHA: (6947) implies:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | (6948) op(e2, e2) = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5723), (6948), (function-axioms) are
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 222.54/37.76 | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.76 | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.76 | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | (6949) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 222.54/37.76 | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 222.54/37.76 | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | BETA: splitting (6949) gives:
% 222.54/37.76 | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | (6950) all_57_7 = e0 & op(e1, e2) = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | ALPHA: (6950) implies:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | (6951) all_57_7 = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (169),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | (207), (208), (209), (211), (212), (214), (215),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (222),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (229),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | (237), (374), (5518), (5526), (5527), (5723),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | (5728), (6621), (6624), (6626), (6629), (6943),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | (6951), (function-axioms) are inconsistent by
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | sub-proof #933.
% 222.54/37.76 | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | (6952) all_57_13 = e0 & op(e0, e2) = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | ALPHA: (6952) implies:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | (6953) all_57_13 = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | (6954) op(e0, e2) = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | (6955) all_57_15 = e0 & op(e0, e0) = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | ALPHA: (6955) implies:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | (6956) op(e0, e0) = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5527), (6956), (function-axioms) are
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | (6957) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | ALPHA: (6957) implies:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | (6958) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | (6959) (all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 & op(e1,
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6959) gives:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | (6960) all_57_9 = e0 & op(e3, e0) = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (6624), (6960), (function-axioms) are
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2434.
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | (6961) (all_57_10 = e0 & op(e2, e0) = e0) | (all_57_11 =
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6961) gives:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | (6962) all_57_10 = e0 & op(e2, e0) = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6962) implies:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | (6963) all_57_10 = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | (6964) op(e2, e0) = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | (6965) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6965) gives:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | (6966) all_57_6 = e0 & op(e1, e3) = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6966) implies:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | (6967) all_57_6 = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (169),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (211), (212), (217), (226), (227),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (231), (232), (234), (236), (237),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | (374), (5518), (5526), (5527), (5723), (5728),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | (6621), (6624), (6626), (6967), (function-axioms)
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #983.
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | (6968) all_57_7 = e0 & op(e1, e2) = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6968) implies:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | (6969) all_57_7 = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (208), (209), (228),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | (229), (5526), (5527), (5723), (6953), (6958),
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | (6969), (function-axioms) are inconsistent by
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1765.
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | (6970) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6970) gives:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | (6971) all_57_8 = e0 & op(e1, e1) = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6971) implies:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | (6972) all_57_8 = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_7, e0,
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (159), (6954) gives:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | (6973) all_53_7 = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_13,
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e2, simplifying with (165), (6964) gives:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | (6974) all_53_13 = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (6973) imply:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | (6975) ~ (all_53_6 = e0)
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (6973) imply:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | (6976) ~ (all_53_11 = e0)
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6976) implies:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | (6977) ~ (all_53_11 = e0)
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (6974) imply:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | (6978) ~ (all_53_9 = e0)
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (6974) imply:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | (6979) ~ (all_53_14 = e0)
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6979) implies:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | (6980) ~ (all_53_14 = e0)
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | (6981) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6981) gives:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (6982) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6982) implies:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (6983) op(e3, e0) = all_52_7
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (6984) op(e3, e1) = all_52_5
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (6985) op(e3, e2) = all_52_3
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (6986) op(e3, e3) = all_52_1
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (6987) op(all_52_7, all_52_7) = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (6988) op(all_52_3, all_52_3) = e2
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (6989) op(all_52_1, all_52_1) = e3
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_12,
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_7, e0, e3, simplifying with (169), (6983)
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (6990) all_53_12 = all_52_7
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_8,
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5, e1, e3, simplifying with (170), (6984)
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (6991) all_53_8 = all_52_5
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_4,
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_3, e2, e3, simplifying with (171), (6985)
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (6992) all_53_4 = all_52_3
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_52_1,
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (6626), (6986) gives:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (6993) all_52_1 = e0
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (6991) imply:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (6994) all_55_2 = all_52_5
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (6992) imply:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (6995) all_55_1 = all_52_3
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (6991), (6992) imply:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (6996) ~ (all_52_3 = all_52_5)
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (124), (6991) imply:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (6997) ~ (all_53_9 = all_52_5)
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6997) implies:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (6998) ~ (all_53_9 = all_52_5)
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (6991) imply:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (6999) ~ (all_53_11 = all_52_5)
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6999) implies:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (7000) ~ (all_53_11 = all_52_5)
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6623), (6991) imply:
% 222.54/37.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (7001) ~ (all_52_5 = e0)
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7002) all_55_12 = e3
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (5515), (7002) are inconsistent by
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2001.
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7003) all_55_12 = e2 | all_55_12 = e1 | all_55_12 = e0
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7004) all_55_4 = e3
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (7004) imply:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7005) all_53_1 = e3
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7005) implies:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7006) all_53_1 = e3
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (7006) imply:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7007) ~ (all_53_9 = e3)
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7007) implies:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7008) ~ (all_53_9 = e3)
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7009) all_55_6 = e3
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (7008), (7009) are inconsistent by
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2498.
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010) all_55_6 = e2 | all_55_6 = e1 | all_55_6 = e0
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7010) gives:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7011) all_55_6 = e2
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (7011) imply:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7012) all_53_9 = e2
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7012) implies:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7013) all_53_9 = e2
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (7013) imply:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7014) ~ (all_53_11 = e2)
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7014) implies:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7015) ~ (all_53_11 = e2)
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6998), (7013) imply:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7016) ~ (all_52_5 = e2)
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7016) implies:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7017) ~ (all_52_5 = e2)
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7018) all_55_14 = e3
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (7018) imply:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7019) all_53_11 = e3
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5517), (7019) imply:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7020) $false
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7020) is inconsistent.
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7021) all_55_14 = e2 | all_55_14 = e1 | all_55_14 = e0
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7021) gives:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7022) all_55_14 = e2
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (7022) imply:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7023) all_53_11 = e2
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7015), (7023) imply:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7024) $false
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7024) is inconsistent.
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7025) all_55_14 = e1 | all_55_14 = e0
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7025) gives:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7026) all_55_14 = e1
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (7026) imply:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7027) all_53_11 = e1
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7000), (7027) imply:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7028) ~ (all_52_5 = e1)
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7028) implies:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7029) ~ (all_52_5 = e1)
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7030) all_55_2 = e3
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6994), (7030) imply:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7031) all_52_5 = e3
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7031) implies:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7032) all_52_5 = e3
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6996), (7032) imply:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7033) ~ (all_52_3 = e3)
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7034) all_55_1 = e3
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6995), (7033), (7034) are inconsistent by
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #562.
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7035) all_55_1 = e2 | all_55_1 = e1 | all_55_1 = e0
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (171), (270), (5718), (5723), (6622), (6985),
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6988), (7035), (function-axioms) are inconsistent
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #582.
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7036) all_55_2 = e2 | all_55_2 = e1 | all_55_2 = e0
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6994), (7001), (7017), (7029), (7036) are
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #558.
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7037) all_55_14 = e0
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (7037) imply:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7038) all_53_11 = e0
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6977), (7038) imply:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7039) $false
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7039) is inconsistent.
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7040) all_55_6 = e1 | all_55_6 = e0
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (5720), (6978), (7040) are inconsistent by
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2161.
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7041) ~ (all_55_4 = e3)
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7042) all_55_4 = e2 | all_55_4 = e1 | all_55_4 = e0
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (267), (7041) imply:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7043) ~ (all_53_1 = e3)
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7044) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_2 = e3
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7044) gives:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7045) all_57_0 = e3 & op(e3, e3) = e3
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7045) implies:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7046) op(e3, e3) = e3
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6626), (7046), (function-axioms) are
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2494.
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7047) all_57_2 = e3 & op(e2, e3) = e3
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7047) implies:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7048) all_57_2 = e3
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7042) gives:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7049) all_55_4 = e2
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (7049) imply:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7050) all_53_1 = e2
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7050) implies:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7051) all_53_1 = e2
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (7051) imply:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7052) ~ (all_53_3 = e2)
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7052) implies:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7053) ~ (all_53_3 = e2)
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7043), (7051) imply:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7054) ~ (e3 = e2)
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7003) gives:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7055) all_55_12 = e2
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (7053), (7055) are inconsistent by
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1337.
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7056) ~ (all_55_12 = e2)
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7057) all_55_12 = e1 | all_55_12 = e0
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (169),
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (211), (212), (214), (215),
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (222),
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (227), (228), (229), (230),
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (247), (374), (5511), (5518), (5526), (5527),
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723), (5728), (6621), (6624), (6626), (6629),
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6632), (6963), (7048), (7053), (7057),
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #557.
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7058) all_55_4 = e1 | all_55_4 = e0
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (5717), (6619), (7058) are inconsistent by
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #773.
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7059) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_12 =
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7059) gives:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7060) all_57_6 = e3 & op(e1, e3) = e3
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7060) implies:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7061) all_57_6 = e3
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7062) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7062) gives:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7063) all_57_6 = e1 & op(e1, e3) = e1
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7063) implies:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7064) all_57_6 = e1
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7061), (7064) are inconsistent by sub-proof
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2017.
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7065) all_57_7 = e1 & op(e1, e2) = e1
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7065) implies:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7066) all_57_7 = e1
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7067) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7067) gives:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7068) all_57_0 = e1 & op(e3, e3) = e1
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7068) implies:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7069) all_57_0 = e1
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6629), (7069) imply:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7070) e1 = e0
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7070) implies:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7071) e1 = e0
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7066), (7071) imply:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7072) all_57_7 = e0
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (208), (209), (228),
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (5526), (5527), (5723), (6953), (6958),
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7072), (function-axioms) are inconsistent by
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1765.
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7073) all_57_2 = e1 & op(e2, e3) = e1
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7073) implies:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7074) all_57_2 = e1
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7075) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7075) gives:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7076) all_57_1 = e3 & op(e3, e2) = e3
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7076) implies:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7077) all_57_1 = e3
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (169),
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (211), (212), (217), (222), (223),
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (231),
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (234), (236), (237), (374), (5518), (5526),
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527), (5723), (5728), (6621), (6624), (6626),
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6629), (7061), (7074), (7077), (function-axioms)
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #980.
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7078) all_57_3 = e3 & op(e2, e2) = e3
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7078) implies:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7079) op(e2, e2) = e3
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5723), (7079), (function-axioms) are
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1912.
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7080) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (208), (209),
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5526), (5527), (6958), (7066), (7080),
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #911.
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7081) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7081) gives:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7082) all_57_6 = e1 & op(e1, e3) = e1
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7082) implies:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7083) all_57_6 = e1
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7061), (7083) are inconsistent by sub-proof
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2017.
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7084) all_57_12 = e1 & op(e0, e3) = e1
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7084) implies:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7085) op(e0, e3) = e1
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (216), (217), (374), (5511), (5526),
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6632), (6972), (7066), (7085), (function-axioms)
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #643.
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7086) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7086) gives:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7087) all_57_8 = e1 & op(e1, e1) = e1
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7087) implies:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7088) op(e1, e1) = e1
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6943), (7088), (function-axioms) are
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2427.
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7089) all_57_11 = e1 & op(e1, e0) = e1
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7089) implies:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7090) all_57_11 = e1
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7091) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7091) gives:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7092) all_57_0 = e1 & op(e3, e3) = e1
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7092) implies:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7093) all_57_0 = e1
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6629), (7093) imply:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7094) e1 = e0
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (211), (212), (5526),
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527), (6963), (7090), (7094), (function-axioms)
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #932.
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7095) all_57_2 = e1 & op(e2, e3) = e1
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7095) implies:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7096) all_57_2 = e1
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7042) gives:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7097) all_55_4 = e2
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (7097) imply:
% 222.54/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7098) all_53_1 = e2
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7098) implies:
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7099) all_53_1 = e2
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (7099) imply:
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7100) ~ (all_53_3 = e2)
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7100) implies:
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7101) ~ (all_53_3 = e2)
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7043), (7099) imply:
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7102) ~ (e3 = e2)
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7003) gives:
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7103) all_55_12 = e2
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (7101), (7103) are inconsistent by
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1337.
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7104) ~ (all_55_12 = e2)
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7105) all_55_12 = e1 | all_55_12 = e0
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7106) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_1 = e3
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7106) gives:
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7107) all_57_0 = e3 & op(e3, e3) = e3
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7107) implies:
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7108) all_57_0 = e3
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (232), (234),
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7061), (7108) are inconsistent by sub-proof
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2010.
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7109) all_57_1 = e3 & op(e3, e2) = e3
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7109) implies:
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7110) all_57_1 = e3
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (169),
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (211), (212), (217), (222), (223),
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (231),
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (234), (236), (237), (374), (5518), (5526),
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527), (5723), (5728), (6621), (6624), (6626),
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6629), (7061), (7096), (7110), (function-axioms)
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #980.
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7111) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_9 = e3
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 222.79/37.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (169),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (211), (212), (214), (215),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (222),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (229),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (247), (374), (5511), (5518), (5526),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527), (5723), (5728), (6621), (6624), (6626),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6629), (6632), (6963), (7061), (7090), (7101),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7105), (7111), (function-axioms) are inconsistent
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #556.
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7112) all_55_4 = e1 | all_55_4 = e0
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (5717), (6619), (7112) are inconsistent by
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #773.
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7113) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7113) gives:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7114) all_57_6 = e1 & op(e1, e3) = e1
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7114) implies:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7115) all_57_6 = e1
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7061), (7115) are inconsistent by sub-proof
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2017.
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7116) all_57_12 = e1 & op(e0, e3) = e1
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7116) implies:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7117) op(e0, e3) = e1
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7042) gives:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7118) all_55_4 = e2
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (7118) imply:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7119) all_53_1 = e2
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7119) implies:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7120) all_53_1 = e2
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (7120) imply:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7121) ~ (all_53_2 = e2)
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7121) implies:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7122) ~ (all_53_2 = e2)
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (7120) imply:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7123) ~ (all_53_3 = e2)
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7123) implies:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7124) ~ (all_53_3 = e2)
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7043), (7120) imply:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7125) ~ (e3 = e2)
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7003) gives:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7126) all_55_12 = e2
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (7124), (7126) are inconsistent by
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1337.
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7127) ~ (all_55_12 = e2)
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7128) all_55_12 = e1 | all_55_12 = e0
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7129) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_1 = e3
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7129) gives:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7130) all_57_0 = e3 & op(e3, e3) = e3
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7130) implies:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7131) all_57_0 = e3
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (232), (234),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7061), (7131) are inconsistent by sub-proof
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2010.
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7132) all_57_1 = e3 & op(e3, e2) = e3
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7132) implies:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7133) all_57_1 = e3
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7134) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (5723), (7133), (7134),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1768.
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7135) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7135) gives:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7136) all_57_7 = e2 & op(e1, e2) = e2
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7136) implies:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7137) all_57_7 = e2
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7138) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7138) gives:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7139) all_57_9 = e2 & op(e3, e0) = e2
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7139) implies:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7140) op(e3, e0) = e2
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7128) gives:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7141) all_55_12 = e1
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (7141) imply:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7142) all_53_3 = e1
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (7142) imply:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7143) ~ (all_53_2 = e1)
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7144) all_55_8 = e3
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (7144) imply:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7145) all_53_2 = e3
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7145) implies:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7146) all_53_2 = e3
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (7146) imply:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7147) ~ (all_53_6 = e3)
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7147) implies:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7148) ~ (all_53_6 = e3)
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (142), (7146) imply:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7149) ~ (all_53_14 = e3)
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7150) all_55_9 = e3
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (7148), (7150) are inconsistent by
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2159.
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7151) all_55_9 = e2 | all_55_9 = e1 | all_55_9 = e0
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7151) gives:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7152) all_55_9 = e2
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (7152) imply:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7153) all_53_6 = e2
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (7153) imply:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7154) ~ (all_53_14 = e2)
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7154) implies:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7155) ~ (all_53_14 = e2)
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (194), (248), (5520), (5723), (6980), (6983),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6987), (7140), (7155), (function-axioms) are
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #588.
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7156) all_55_9 = e1 | all_55_9 = e0
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (5719), (6975), (7156) are inconsistent by
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1835.
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7157) all_55_8 = e2 | all_55_8 = e1 | all_55_8 = e0
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (6620), (7122), (7143), (7157) are
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #886.
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7158) all_55_12 = e0
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (7158) imply:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7159) all_53_3 = e0
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6621), (7159) imply:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7160) $false
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7160) is inconsistent.
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7161) all_57_10 = e2 & op(e2, e0) = e2
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7161) implies:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7162) all_57_10 = e2
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6963), (7162) imply:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7163) e2 = e0
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7137), (7163) imply:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7164) all_57_7 = e0
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (228), (5723), (6953), (7133),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7164), (function-axioms) are inconsistent by
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1767.
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7165) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5511), (5526), (6632), (7117), (7165),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1019.
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7166) all_57_13 = e2 & op(e0, e2) = e2
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7166) implies:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7167) all_57_13 = e2
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6953), (7167) are inconsistent by sub-proof
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1911.
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7168) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_9 = e3
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (169),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (211), (212), (214), (215),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (222),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (229),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (247), (374), (5511), (5518), (5526),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527), (5723), (5728), (6621), (6624), (6626),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6629), (6632), (6963), (7061), (7090), (7124),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7128), (7168), (function-axioms) are inconsistent
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #556.
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7169) all_55_4 = e1 | all_55_4 = e0
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (5717), (6619), (7169) are inconsistent by
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #773.
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7170) all_57_12 = e3 & op(e0, e3) = e3
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7170) implies:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7171) all_57_12 = e3
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (169),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (211), (212), (214), (215),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (222),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (229),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (374), (5518), (5526), (5527), (5723),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5728), (6621), (6624), (6626), (6629), (6953),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7171), (function-axioms) are inconsistent by
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #912.
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (7172) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5527), (6964), (7172), (function-axioms) are
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #848.
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | (7173) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7173) gives:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (7174) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5527), (6943), (7174), (function-axioms) are
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #847.
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (7175) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7175) implies:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (7176) op(e0, e0) = all_52_31
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (7177) op(e0, e2) = all_52_27
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (7178) op(all_52_27, all_52_27) = e2
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5527), (6954), (7176), (7177), (7178),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | | #858.
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | (7179) all_57_11 = e0 & op(e1, e0) = e0
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7179) implies:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | (7180) all_57_11 = e0
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (211), (212), (5526),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | (5527), (6963), (7180), (function-axioms) are
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1087.
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | (7181) all_57_11 = e0 & op(e1, e0) = e0
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7181) implies:
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | (7182) all_57_11 = e0
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (169),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (211), (212), (214), (215),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (222),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (229),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | (237), (374), (5518), (5526), (5527), (5723),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | (5728), (6621), (6624), (6626), (6629), (6943),
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | (6953), (6958), (6959), (7182), (function-axioms)
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #909.
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | Case 2:
% 222.79/37.78 | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | (7183) all_57_2 = e0 & op(e2, e3) = e0
% 222.79/37.78 | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | ALPHA: (7183) implies:
% 222.79/37.78 | | | | | | | | | | | | | | | (7184) all_57_2 = e0
% 222.79/37.78 | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (169),
% 222.79/37.78 | | | | | | | | | | | | | | | (207), (208), (209), (211), (212), (214), (215),
% 222.79/37.78 | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (223),
% 222.79/37.78 | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 222.79/37.78 | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (236), (237),
% 222.79/37.78 | | | | | | | | | | | | | | | (374), (5518), (5526), (5527), (5723), (5728),
% 222.79/37.78 | | | | | | | | | | | | | | | (6621), (6624), (6626), (7184), (function-axioms)
% 222.79/37.78 | | | | | | | | | | | | | | | are inconsistent by sub-proof #1016.
% 222.79/37.78 | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | Case 2:
% 222.79/37.78 | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | (7185) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 222.79/37.78 | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 222.79/37.78 | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | BETA: splitting (7185) gives:
% 222.79/37.78 | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | Case 1:
% 222.79/37.78 | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | (7186) all_57_6 = e0 & op(e1, e3) = e0
% 222.79/37.78 | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | ALPHA: (7186) implies:
% 222.79/37.78 | | | | | | | | | | | | | | | (7187) all_57_6 = e0
% 222.79/37.78 | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (169),
% 222.79/37.78 | | | | | | | | | | | | | | | (207), (208), (211), (212), (217), (226), (227),
% 222.79/37.78 | | | | | | | | | | | | | | | (228), (229), (231), (232), (234), (236), (237),
% 222.79/37.78 | | | | | | | | | | | | | | | (374), (5518), (5526), (5527), (5723), (5728),
% 222.79/37.78 | | | | | | | | | | | | | | | (6621), (6624), (6626), (7187), (function-axioms)
% 222.79/37.78 | | | | | | | | | | | | | | | are inconsistent by sub-proof #983.
% 222.79/37.78 | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | Case 2:
% 222.79/37.78 | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | (7188) all_57_12 = e0 & op(e0, e3) = e0
% 222.79/37.78 | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | ALPHA: (7188) implies:
% 222.79/37.78 | | | | | | | | | | | | | | | (7189) op(e0, e3) = e0
% 222.79/37.78 | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | | REF_CLOSE: (160), (6621), (7189), (function-axioms) are
% 222.79/37.78 | | | | | | | | | | | | | | | inconsistent by sub-proof #2366.
% 222.79/37.78 | | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | Case 2:
% 222.79/37.78 | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | (7190) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 222.79/37.78 | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 222.79/37.78 | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | BETA: splitting (7190) gives:
% 222.79/37.78 | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | Case 1:
% 222.79/37.78 | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | (7191) all_57_5 = e1 & op(e2, e1) = e1
% 222.79/37.78 | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | ALPHA: (7191) implies:
% 222.79/37.78 | | | | | | | | | | | | (7192) all_57_5 = e1
% 222.79/37.78 | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | BETA: splitting (225) gives:
% 222.79/37.78 | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | Case 1:
% 222.79/37.78 | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | (7193) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 222.79/37.78 | | | | | | | | | | | | | & op(e2, e2) = e3)
% 222.79/37.78 | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | BETA: splitting (7193) gives:
% 222.79/37.78 | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | Case 1:
% 222.79/37.78 | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | (7194) all_57_2 = e3 & op(e2, e3) = e3
% 222.79/37.78 | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | ALPHA: (7194) implies:
% 222.79/37.78 | | | | | | | | | | | | | | (7195) all_57_2 = e3
% 222.79/37.78 | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (222), (224), (5723),
% 222.79/37.78 | | | | | | | | | | | | | | (7192), (7195), (function-axioms) are inconsistent
% 222.79/37.78 | | | | | | | | | | | | | | by sub-proof #555.
% 222.79/37.78 | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | Case 2:
% 222.79/37.78 | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | (7196) all_57_3 = e3 & op(e2, e2) = e3
% 222.79/37.78 | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | ALPHA: (7196) implies:
% 222.79/37.78 | | | | | | | | | | | | | | (7197) op(e2, e2) = e3
% 222.79/37.78 | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | | REF_CLOSE: (8), (5723), (7197), (function-axioms) are
% 222.79/37.78 | | | | | | | | | | | | | | inconsistent by sub-proof #1912.
% 222.79/37.78 | | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | End of split
% 222.79/37.78 | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | Case 2:
% 222.79/37.78 | | | | | | | | | | | | |
% 222.79/37.78 | | | | | | | | | | | | | (7198) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 222.79/37.78 | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 222.79/37.78 | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | BETA: splitting (7198) gives:
% 222.79/37.79 | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | Case 1:
% 222.79/37.79 | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | (7199) all_57_5 = e3 & op(e2, e1) = e3
% 222.79/37.79 | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | ALPHA: (7199) implies:
% 222.79/37.79 | | | | | | | | | | | | | | (7200) all_57_5 = e3
% 222.79/37.79 | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | REF_CLOSE: (8), (7192), (7200) are inconsistent by sub-proof
% 222.79/37.79 | | | | | | | | | | | | | | #2382.
% 222.79/37.79 | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | Case 2:
% 222.79/37.79 | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | (7201) all_57_10 = e3 & op(e2, e0) = e3
% 222.79/37.79 | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | ALPHA: (7201) implies:
% 222.79/37.79 | | | | | | | | | | | | | | (7202) all_57_10 = e3
% 222.79/37.79 | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (211), (212),
% 222.79/37.79 | | | | | | | | | | | | | | (5526), (5527), (7202), (function-axioms) are
% 222.79/37.79 | | | | | | | | | | | | | | inconsistent by sub-proof #1746.
% 222.79/37.79 | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | End of split
% 222.79/37.79 | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | End of split
% 222.79/37.79 | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | Case 2:
% 222.79/37.79 | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | (7203) all_57_10 = e1 & op(e2, e0) = e1
% 222.79/37.79 | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | ALPHA: (7203) implies:
% 222.79/37.79 | | | | | | | | | | | | (7204) op(e2, e0) = e1
% 222.79/37.79 | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_13,
% 222.79/37.79 | | | | | | | | | | | | e1, e0, e2, simplifying with (165), (7204) gives:
% 222.79/37.79 | | | | | | | | | | | | (7205) all_53_13 = e1
% 222.79/37.79 | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | REDUCE: (5721), (7205) imply:
% 222.79/37.79 | | | | | | | | | | | | (7206) $false
% 222.79/37.79 | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | CLOSE: (7206) is inconsistent.
% 222.79/37.79 | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | End of split
% 222.79/37.79 | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | End of split
% 222.79/37.79 | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | End of split
% 222.79/37.79 | | | | | | | | |
% 222.79/37.79 | | | | | | | | Case 2:
% 222.79/37.79 | | | | | | | | |
% 222.79/37.79 | | | | | | | | | (7207) all_14_2 = e0
% 222.79/37.79 | | | | | | | | |
% 222.79/37.79 | | | | | | | | | COMBINE_EQS: (328), (7207) imply:
% 222.79/37.79 | | | | | | | | | (7208) all_8_2 = e0
% 222.79/37.79 | | | | | | | | |
% 222.79/37.79 | | | | | | | | | REDUCE: (349), (7208) imply:
% 222.79/37.79 | | | | | | | | | (7209) ~ (all_53_1 = e0)
% 222.79/37.79 | | | | | | | | |
% 222.79/37.79 | | | | | | | | | REDUCE: (352), (7208) imply:
% 222.79/37.79 | | | | | | | | | (7210) ~ (all_53_4 = e0)
% 222.79/37.79 | | | | | | | | |
% 222.79/37.79 | | | | | | | | | REDUCE: (356), (7208) imply:
% 222.79/37.79 | | | | | | | | | (7211) ~ (all_53_7 = e0)
% 222.79/37.79 | | | | | | | | |
% 222.79/37.79 | | | | | | | | | REDUCE: (358), (7208) imply:
% 222.79/37.79 | | | | | | | | | (7212) ~ (all_53_9 = e0)
% 222.79/37.79 | | | | | | | | |
% 222.79/37.79 | | | | | | | | | REDUCE: (360), (7208) imply:
% 222.79/37.79 | | | | | | | | | (7213) ~ (all_53_13 = e0)
% 222.79/37.79 | | | | | | | | |
% 222.79/37.79 | | | | | | | | | REDUCE: (375), (7208) imply:
% 222.79/37.79 | | | | | | | | | (7214) ~ (e3 = e0)
% 222.79/37.79 | | | | | | | | |
% 222.79/37.79 | | | | | | | | | REDUCE: (42), (7208) imply:
% 222.79/37.79 | | | | | | | | | (7215) op(e2, e2) = e0
% 222.79/37.79 | | | | | | | | |
% 222.79/37.79 | | | | | | | | | BETA: splitting (226) gives:
% 222.79/37.79 | | | | | | | | |
% 222.79/37.79 | | | | | | | | | Case 1:
% 222.79/37.79 | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | (7216) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 222.79/37.79 | | | | | | | | | | & op(e2, e2) = e0)
% 222.79/37.79 | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | BETA: splitting (7216) gives:
% 222.79/37.79 | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | Case 1:
% 222.79/37.79 | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | (7217) all_57_1 = e0 & op(e3, e2) = e0
% 222.79/37.79 | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | ALPHA: (7217) implies:
% 222.79/37.79 | | | | | | | | | | | (7218) all_57_1 = e0
% 222.79/37.79 | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | BETA: splitting (229) gives:
% 222.79/37.79 | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | Case 1:
% 222.79/37.79 | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | (7219) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 222.79/37.79 | | | | | | | | | | | | & op(e2, e2) = e3)
% 222.79/37.79 | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | BETA: splitting (7219) gives:
% 222.79/37.79 | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | Case 1:
% 222.79/37.79 | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | (7220) all_57_1 = e3 & op(e3, e2) = e3
% 222.79/37.79 | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | REF_CLOSE: (7), (7218), (7220) are inconsistent by sub-proof
% 222.79/37.79 | | | | | | | | | | | | | #2405.
% 222.79/37.79 | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | Case 2:
% 222.79/37.79 | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | (7221) all_57_3 = e3 & op(e2, e2) = e3
% 222.79/37.79 | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | ALPHA: (7221) implies:
% 222.79/37.79 | | | | | | | | | | | | | (7222) all_57_3 = e3
% 222.79/37.79 | | | | | | | | | | | | | (7223) op(e2, e2) = e3
% 222.79/37.79 | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | BETA: splitting (222) gives:
% 222.79/37.79 | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | Case 1:
% 222.79/37.79 | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | (7224) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 222.79/37.79 | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 222.79/37.79 | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | BETA: splitting (7224) gives:
% 222.79/37.79 | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | Case 1:
% 222.79/37.79 | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | (7225) all_57_2 = e0 & op(e2, e3) = e0
% 222.79/37.79 | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | ALPHA: (7225) implies:
% 222.79/37.79 | | | | | | | | | | | | | | | (7226) all_57_2 = e0
% 222.79/37.79 | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 222.79/37.79 | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | Case 1:
% 222.79/37.79 | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | (7227) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 222.79/37.79 | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 222.79/37.79 | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | BETA: splitting (7227) gives:
% 222.79/37.79 | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.79 | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | (7228) all_57_2 = e3 & op(e2, e3) = e3
% 222.79/37.79 | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | ALPHA: (7228) implies:
% 222.79/37.79 | | | | | | | | | | | | | | | | | (7229) all_57_2 = e3
% 222.79/37.79 | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | COMBINE_EQS: (7226), (7229) imply:
% 222.79/37.79 | | | | | | | | | | | | | | | | | (7230) e3 = e0
% 222.79/37.79 | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | SIMP: (7230) implies:
% 222.79/37.79 | | | | | | | | | | | | | | | | | (7231) e3 = e0
% 222.79/37.79 | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | COMBINE_EQS: (7222), (7231) imply:
% 222.79/37.79 | | | | | | | | | | | | | | | | | (7232) all_57_3 = e0
% 222.79/37.79 | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 222.79/37.79 | | | | | | | | | | | | | | | | | (7226), (7232) are inconsistent by sub-proof
% 222.79/37.79 | | | | | | | | | | | | | | | | | #2246.
% 222.79/37.79 | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.79 | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e2,
% 222.79/37.79 | | | | | | | | | | | | | | | | | e2, simplifying with (7215), (7223) gives:
% 222.79/37.79 | | | | | | | | | | | | | | | | | (7233) e3 = e0
% 222.79/37.79 | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | COMBINE_EQS: (7222), (7233) imply:
% 222.79/37.79 | | | | | | | | | | | | | | | | | (7234) all_57_3 = e0
% 222.79/37.79 | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 222.79/37.79 | | | | | | | | | | | | | | | | | (7226), (7234) are inconsistent by sub-proof
% 222.79/37.79 | | | | | | | | | | | | | | | | | #2246.
% 222.79/37.79 | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | End of split
% 222.79/37.79 | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | Case 2:
% 222.79/37.79 | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | (7235) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 222.79/37.79 | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 222.79/37.79 | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | BETA: splitting (7235) gives:
% 222.79/37.79 | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.79 | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | (7236) all_57_5 = e3 & op(e2, e1) = e3
% 222.79/37.79 | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | ALPHA: (7236) implies:
% 222.79/37.79 | | | | | | | | | | | | | | | | | (7237) all_57_5 = e3
% 222.79/37.79 | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 222.79/37.79 | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.79 | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | (7238) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 222.79/37.79 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 222.79/37.79 | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | BETA: splitting (7238) gives:
% 222.79/37.79 | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | (7239) all_57_2 = e2 & op(e2, e3) = e2
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7226), (7239) are inconsistent by sub-proof
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | #2257.
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | (7240) all_57_3 = e2 & op(e2, e2) = e2
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | ALPHA: (7240) implies:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | (7241) all_57_3 = e2
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7222), (7241) are inconsistent by sub-proof
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | #1166.
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.79 | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.79 | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | (7242) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 222.79/37.79 | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 222.79/37.79 | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | BETA: splitting (7242) gives:
% 222.79/37.79 | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | (7243) all_57_5 = e2 & op(e2, e1) = e2
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7237), (7243) are inconsistent by sub-proof
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | #2425.
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | (7244) all_57_10 = e2 & op(e2, e0) = e2
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | ALPHA: (7244) implies:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | (7245) all_57_10 = e2
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | (7246) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7246) gives:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | (7247) all_57_2 = e1 & op(e2, e3) = e1
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7247) implies:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | (7248) all_57_2 = e1
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7226), (7248) are inconsistent by sub-proof
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | #2473.
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | (7249) all_57_3 = e1 & op(e2, e2) = e1
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7249) implies:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | (7250) op(e2, e2) = e1
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7215), (7250), (function-axioms) are
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | (7251) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7251) gives:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | (7252) all_57_5 = e1 & op(e2, e1) = e1
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7237), (7252) are inconsistent by sub-proof
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | #2376.
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | (7253) all_57_10 = e1 & op(e2, e0) = e1
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7253) implies:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | (7254) all_57_10 = e1
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7245), (7254) are inconsistent by sub-proof
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | #2144.
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.79 | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | End of split
% 222.79/37.79 | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.79 | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | (7255) all_57_10 = e3 & op(e2, e0) = e3
% 222.79/37.79 | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | ALPHA: (7255) implies:
% 222.79/37.79 | | | | | | | | | | | | | | | | | (7256) all_57_10 = e3
% 222.79/37.79 | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 222.79/37.79 | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.79 | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | (7257) all_57_15 = e0 & op(e0, e0) = e0
% 222.79/37.79 | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | ALPHA: (7257) implies:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | (7258) op(e0, e0) = e0
% 222.79/37.79 | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5527), (7258), (function-axioms) are
% 222.79/37.79 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 222.79/37.79 | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.79 | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | (7259) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 222.79/37.79 | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 222.79/37.79 | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 222.79/37.79 | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 222.79/37.79 | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 222.79/37.79 | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | ALPHA: (7259) implies:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | (7260) (all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 222.79/37.79 | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 & op(e1,
% 222.79/37.79 | | | | | | | | | | | | | | | | | | e0) = e0)
% 222.79/37.79 | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | BETA: splitting (7260) gives:
% 222.79/37.79 | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | (7261) all_57_9 = e0 & op(e3, e0) = e0
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | ALPHA: (7261) implies:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | (7262) all_57_9 = e0
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (211), (212),
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | (5526), (7256), (7262) are inconsistent by
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | sub-proof #1982.
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | (7263) (all_57_10 = e0 & op(e2, e0) = e0) | (all_57_11 =
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | BETA: splitting (7263) gives:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | (7264) all_57_10 = e0 & op(e2, e0) = e0
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | ALPHA: (7264) implies:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | (7265) op(e2, e0) = e0
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (7213), (7265), (function-axioms) are
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2470.
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | (7266) all_57_11 = e0 & op(e1, e0) = e0
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | ALPHA: (7266) implies:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | (7267) all_57_11 = e0
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (211), (212), (5526),
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | (5527), (7256), (7267), (function-axioms) are
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1748.
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.79 | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | End of split
% 222.79/37.79 | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | End of split
% 222.79/37.79 | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | End of split
% 222.79/37.79 | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | Case 2:
% 222.79/37.79 | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | (7268) all_57_3 = e0 & op(e2, e2) = e0
% 222.79/37.79 | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | ALPHA: (7268) implies:
% 222.79/37.79 | | | | | | | | | | | | | | | (7269) all_57_3 = e0
% 222.79/37.79 | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (58),
% 222.79/37.79 | | | | | | | | | | | | | | | (61), (64), (67), (73), (88), (94), (107), (111),
% 222.79/37.79 | | | | | | | | | | | | | | | (113), (114), (118), (119), (121), (122), (124),
% 222.79/37.79 | | | | | | | | | | | | | | | (126), (127), (134), (135), (136), (137), (140),
% 222.79/37.79 | | | | | | | | | | | | | | | (141), (142), (144), (145), (146), (147), (149),
% 222.79/37.79 | | | | | | | | | | | | | | | (150), (158), (159), (160), (161), (163), (164),
% 222.79/37.79 | | | | | | | | | | | | | | | (165), (166), (169), (170), (171), (191), (192),
% 222.79/37.79 | | | | | | | | | | | | | | | (193), (194), (195), (196), (197), (198), (199),
% 222.79/37.79 | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (207), (208),
% 222.79/37.79 | | | | | | | | | | | | | | | (209), (211), (212), (214), (215), (216), (217),
% 222.79/37.79 | | | | | | | | | | | | | | | (218), (219), (220), (221), (223), (224), (225),
% 222.79/37.79 | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 222.79/37.79 | | | | | | | | | | | | | | | (234), (235), (236), (237), (245), (246), (247),
% 222.79/37.79 | | | | | | | | | | | | | | | (248), (249), (256), (257), (258), (259), (267),
% 222.79/37.79 | | | | | | | | | | | | | | | (268), (269), (270), (277), (299), (315), (327),
% 222.79/37.79 | | | | | | | | | | | | | | | (329), (332), (336), (338), (340), (342), (344),
% 222.79/37.79 | | | | | | | | | | | | | | | (348), (350), (361), (363), (364), (366), (368),
% 222.79/37.79 | | | | | | | | | | | | | | | (374), (376), (5511), (5514), (5515), (5516),
% 222.79/37.79 | | | | | | | | | | | | | | | (5517), (5518), (5519), (5520), (5526), (5527),
% 222.79/37.79 | | | | | | | | | | | | | | | (7209), (7210), (7211), (7212), (7213), (7215),
% 222.79/37.79 | | | | | | | | | | | | | | | (7269), (function-axioms) are inconsistent by
% 222.79/37.79 | | | | | | | | | | | | | | | sub-proof #370.
% 222.79/37.79 | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | End of split
% 222.79/37.79 | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | Case 2:
% 222.79/37.79 | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | (7270) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 222.79/37.79 | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 222.79/37.79 | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | BETA: splitting (7270) gives:
% 222.79/37.79 | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | Case 1:
% 222.79/37.79 | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | (7271) all_57_5 = e0 & op(e2, e1) = e0
% 222.79/37.79 | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | ALPHA: (7271) implies:
% 222.79/37.79 | | | | | | | | | | | | | | | (7272) all_57_5 = e0
% 222.79/37.79 | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 222.79/37.79 | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | Case 1:
% 222.79/37.79 | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | (7273) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 222.79/37.79 | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 222.79/37.79 | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | BETA: splitting (7273) gives:
% 222.79/37.79 | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.79 | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | (7274) all_57_4 = e3 & op(e3, e1) = e3
% 222.79/37.79 | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | ALPHA: (7274) implies:
% 222.79/37.79 | | | | | | | | | | | | | | | | | (7275) all_57_4 = e3
% 222.79/37.79 | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 222.79/37.79 | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.79 | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | (7276) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 222.79/37.79 | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 222.79/37.79 | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | BETA: splitting (7276) gives:
% 222.79/37.79 | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | (7277) all_57_0 = e1 & op(e3, e3) = e1
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | ALPHA: (7277) implies:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | (7278) all_57_0 = e1
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | (7279) op(e3, e3) = e1
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | (7280) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7280) gives:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | (7281) all_57_0 = e2 & op(e3, e3) = e2
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7281) implies:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | (7282) op(e3, e3) = e2
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7279), (7282), (function-axioms) are
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1950.
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | (7283) all_57_1 = e2 & op(e3, e2) = e2
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7218), (7283) are inconsistent by sub-proof
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | #2483.
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | (7284) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7284) gives:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | (7285) all_57_4 = e2 & op(e3, e1) = e2
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7275), (7285) are inconsistent by sub-proof
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | #2487.
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | (7286) all_57_9 = e2 & op(e3, e0) = e2
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7286) implies:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | (7287) all_57_9 = e2
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (165),
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (211), (212), (217), (224),
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (374), (5526), (5527),
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | (7211), (7213), (7215), (7218), (7222), (7223),
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | (7272), (7278), (7286), (7287), (function-axioms)
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #368.
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | (7288) all_57_1 = e1 & op(e3, e2) = e1
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7218), (7288) are inconsistent by sub-proof
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | #2446.
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.79 | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.79 | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | (7289) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 222.79/37.79 | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 222.79/37.79 | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | BETA: splitting (7289) gives:
% 222.79/37.79 | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | (7290) all_57_4 = e1 & op(e3, e1) = e1
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | ALPHA: (7290) implies:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | (7291) all_57_4 = e1
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7275), (7291) are inconsistent by sub-proof
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | #2426.
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | (7292) all_57_9 = e1 & op(e3, e0) = e1
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | ALPHA: (7292) implies:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | (7293) all_57_9 = e1
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | (7294) all_57_15 = e0 & op(e0, e0) = e0
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | ALPHA: (7294) implies:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | (7295) op(e0, e0) = e0
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5527), (7295), (function-axioms) are
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | (7296) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | ALPHA: (7296) implies:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | (7297) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | (7298) (all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 & op(e1,
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | (7299) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7299) gives:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | | (7300) all_57_0 = e2 & op(e3, e3) = e2
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7300) implies:
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | | (7301) all_57_0 = e2
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | | (7302) op(e3, e3) = e2
% 222.79/37.79 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7298) gives:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | (7303) all_57_9 = e0 & op(e3, e0) = e0
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7303) implies:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | (7304) all_57_9 = e0
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7293), (7304) are inconsistent by sub-proof
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | #2479.
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | (7305) (all_57_10 = e0 & op(e2, e0) = e0) | (all_57_11 =
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7305) gives:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | (7306) all_57_10 = e0 & op(e2, e0) = e0
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7306) implies:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | (7307) op(e2, e0) = e0
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (7213), (7307), (function-axioms) are
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2470.
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | (7308) all_57_11 = e0 & op(e1, e0) = e0
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7308) implies:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | (7309) all_57_11 = e0
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | (7310) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7310) gives:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (7311) all_57_9 = e2 & op(e3, e0) = e2
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7311) implies:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (7312) all_57_9 = e2
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7293), (7312) imply:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (7313) e2 = e1
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7301), (7313) imply:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (7314) all_57_0 = e1
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (165),
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (211), (212), (217), (224),
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (374), (5526), (5527),
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (7211), (7213), (7215), (7218), (7222), (7223),
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (7272), (7311), (7312), (7314), (function-axioms)
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #368.
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (7315) all_57_10 = e2 & op(e2, e0) = e2
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7315) implies:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (7316) all_57_10 = e2
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7317) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7317) gives:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7318) all_57_2 = e1 & op(e2, e3) = e1
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7318) implies:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7319) all_57_2 = e1
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7320) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_2 = e3
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7320) gives:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7321) all_57_0 = e3 & op(e3, e3) = e3
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7321) implies:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7322) op(e3, e3) = e3
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7302), (7322), (function-axioms) are
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2490.
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7323) all_57_2 = e3 & op(e2, e3) = e3
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7319), (7323) are inconsistent by sub-proof
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #701.
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7324) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_12 =
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7324) gives:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7325) all_57_6 = e3 & op(e1, e3) = e3
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7325) implies:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7326) all_57_6 = e3
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7327) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (211), (212), (5526),
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7293), (7302), (7309), (7319), (7327),
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #367.
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7328) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7328) gives:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7329) all_57_6 = e0 & op(e1, e3) = e0
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (208),
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (211), (212), (217), (227), (228), (229),
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (5526), (5527), (7211), (7215), (7218),
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7222), (7297), (7298), (7329), (function-axioms)
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #369.
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7330) all_57_12 = e0 & op(e0, e3) = e0
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7330) implies:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7331) all_57_12 = e0
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e2,
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (7215), (7223) gives:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7332) e3 = e0
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7222), (7332) imply:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7333) all_57_3 = e0
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (67), (88),
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (94), (107), (121), (124), (134), (135), (137),
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (166), (169), (170), (171), (195), (202),
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (204), (207), (208), (209), (211), (212),
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (225), (227), (228), (229),
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (249), (268), (269), (270), (315), (332),
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (336), (363), (364), (374), (5518), (5526),
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527), (7210), (7212), (7272), (7293), (7301),
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7302), (7326), (7331), (7333), (function-axioms)
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #460.
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7334) all_57_12 = e3 & op(e0, e3) = e3
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7334) implies:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7335) all_57_12 = e3
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7336) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (211), (212), (5526),
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7293), (7302), (7309), (7319), (7336),
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #367.
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7337) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7337) gives:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7338) all_57_6 = e0 & op(e1, e3) = e0
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (208),
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (211), (212), (217), (227), (228), (229),
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (5526), (5527), (7211), (7215), (7218),
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7222), (7297), (7298), (7338), (function-axioms)
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #369.
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7339) all_57_12 = e0 & op(e0, e3) = e0
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7339) implies:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7340) all_57_12 = e0
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7335), (7340) imply:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7341) e3 = e0
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7222), (7341) imply:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7342) all_57_3 = e0
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (212), (223),
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (5526), (7272), (7293), (7316), (7342) are
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #967.
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7343) all_57_3 = e1 & op(e2, e2) = e1
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7343) implies:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7344) op(e2, e2) = e1
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7215), (7344), (function-axioms) are
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7345) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7345) gives:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7346) all_57_5 = e1 & op(e2, e1) = e1
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7346) implies:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7347) all_57_5 = e1
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7272), (7347) imply:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7348) e1 = e0
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7293), (7348) imply:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7349) all_57_9 = e0
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (211), (212), (5526),
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7309), (7349) are inconsistent by sub-proof
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1144.
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7350) all_57_10 = e1 & op(e2, e0) = e1
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7350) implies:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7351) all_57_10 = e1
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7316), (7351) are inconsistent by sub-proof
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2144.
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | (7352) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7352) gives:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (7353) all_57_11 = e2 & op(e1, e0) = e2
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7309), (7353) are inconsistent by sub-proof
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | #1988.
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (7354) all_57_15 = e2 & op(e0, e0) = e2
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5526), (7354) are inconsistent by sub-proof
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | | #2323.
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | (7355) all_57_1 = e2 & op(e3, e2) = e2
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7218), (7355) are inconsistent by sub-proof
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | | #2483.
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | (7356) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7275), (7293), (7356) are inconsistent
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | | by sub-proof #2480.
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.80 | | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.80 | | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | End of split
% 222.79/37.80 | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.80 | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | (7357) all_57_5 = e3 & op(e2, e1) = e3
% 222.79/37.80 | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | ALPHA: (7357) implies:
% 222.79/37.80 | | | | | | | | | | | | | | | | | (7358) all_57_5 = e3
% 222.79/37.80 | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | COMBINE_EQS: (7272), (7358) imply:
% 222.79/37.80 | | | | | | | | | | | | | | | | | (7359) e3 = e0
% 222.79/37.80 | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | COMBINE_EQS: (7222), (7359) imply:
% 222.79/37.80 | | | | | | | | | | | | | | | | | (7360) all_57_3 = e0
% 222.79/37.80 | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (58),
% 222.79/37.80 | | | | | | | | | | | | | | | | | (61), (64), (67), (73), (88), (94), (107), (111),
% 222.79/37.80 | | | | | | | | | | | | | | | | | (113), (114), (118), (119), (121), (122), (124),
% 222.79/37.80 | | | | | | | | | | | | | | | | | (126), (127), (134), (135), (136), (137), (140),
% 222.79/37.80 | | | | | | | | | | | | | | | | | (141), (142), (144), (145), (146), (147), (149),
% 222.79/37.80 | | | | | | | | | | | | | | | | | (150), (158), (159), (160), (161), (163), (164),
% 222.79/37.80 | | | | | | | | | | | | | | | | | (165), (166), (169), (170), (171), (191), (192),
% 222.79/37.80 | | | | | | | | | | | | | | | | | (193), (194), (195), (196), (197), (198), (199),
% 222.79/37.80 | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (207), (208),
% 222.79/37.80 | | | | | | | | | | | | | | | | | (209), (211), (212), (214), (215), (216), (217),
% 222.79/37.80 | | | | | | | | | | | | | | | | | (218), (219), (220), (221), (223), (224), (225),
% 222.79/37.80 | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 222.79/37.80 | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (245), (246), (247),
% 222.79/37.80 | | | | | | | | | | | | | | | | | (248), (249), (256), (257), (258), (259), (267),
% 222.79/37.80 | | | | | | | | | | | | | | | | | (268), (269), (270), (277), (299), (315), (327),
% 222.79/37.80 | | | | | | | | | | | | | | | | | (329), (332), (336), (338), (340), (342), (344),
% 222.79/37.80 | | | | | | | | | | | | | | | | | (348), (350), (361), (363), (364), (366), (368),
% 222.79/37.80 | | | | | | | | | | | | | | | | | (374), (376), (5511), (5514), (5515), (5516),
% 222.79/37.80 | | | | | | | | | | | | | | | | | (5517), (5518), (5519), (5520), (5526), (5527),
% 222.79/37.80 | | | | | | | | | | | | | | | | | (7209), (7210), (7211), (7212), (7213), (7215),
% 222.79/37.80 | | | | | | | | | | | | | | | | | (7360), (function-axioms) are inconsistent by
% 222.79/37.80 | | | | | | | | | | | | | | | | | sub-proof #370.
% 222.79/37.80 | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | End of split
% 222.79/37.80 | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | Case 2:
% 222.79/37.80 | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | (7361) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 222.79/37.80 | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 222.79/37.80 | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (208),
% 222.79/37.80 | | | | | | | | | | | | | | | | (209), (374), (5526), (7361), (function-axioms)
% 222.79/37.80 | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1794.
% 222.79/37.80 | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | End of split
% 222.79/37.80 | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | Case 2:
% 222.79/37.80 | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | (7362) all_57_10 = e0 & op(e2, e0) = e0
% 222.79/37.80 | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | ALPHA: (7362) implies:
% 222.79/37.80 | | | | | | | | | | | | | | | (7363) op(e2, e0) = e0
% 222.79/37.80 | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | REF_CLOSE: (165), (7213), (7363), (function-axioms) are
% 222.79/37.80 | | | | | | | | | | | | | | | inconsistent by sub-proof #2470.
% 222.79/37.80 | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | End of split
% 222.79/37.80 | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | End of split
% 222.79/37.80 | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | End of split
% 222.79/37.80 | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | Case 2:
% 222.79/37.80 | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | (7364) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 222.79/37.80 | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 222.79/37.80 | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | BETA: splitting (7364) gives:
% 222.79/37.80 | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | Case 1:
% 222.79/37.80 | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | (7365) all_57_7 = e3 & op(e1, e2) = e3
% 222.79/37.80 | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | ALPHA: (7365) implies:
% 222.79/37.80 | | | | | | | | | | | | | (7366) all_57_7 = e3
% 222.79/37.80 | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (227), (228), (7215),
% 222.79/37.80 | | | | | | | | | | | | | (7218), (7366), (function-axioms) are inconsistent
% 222.79/37.80 | | | | | | | | | | | | | by sub-proof #1282.
% 222.79/37.80 | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | Case 2:
% 222.79/37.80 | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | (7367) all_57_13 = e3 & op(e0, e2) = e3
% 222.79/37.80 | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | ALPHA: (7367) implies:
% 222.79/37.80 | | | | | | | | | | | | | (7368) all_57_13 = e3
% 222.79/37.80 | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (207), (208),
% 222.79/37.80 | | | | | | | | | | | | | (209), (5526), (5527), (7211), (7368),
% 222.79/37.80 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.80 | | | | | | | | | | | | | #366.
% 222.79/37.80 | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | End of split
% 222.79/37.80 | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | End of split
% 222.79/37.80 | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | Case 2:
% 222.79/37.80 | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | (7369) all_57_3 = e0 & op(e2, e2) = e0
% 222.79/37.80 | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | ALPHA: (7369) implies:
% 222.79/37.80 | | | | | | | | | | | (7370) all_57_3 = e0
% 222.79/37.80 | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (58),
% 222.79/37.80 | | | | | | | | | | | (61), (64), (67), (73), (88), (94), (107), (111),
% 222.79/37.80 | | | | | | | | | | | (113), (114), (118), (119), (121), (122), (124),
% 222.79/37.80 | | | | | | | | | | | (126), (127), (134), (135), (136), (137), (140),
% 222.79/37.80 | | | | | | | | | | | (141), (142), (144), (145), (146), (147), (149),
% 222.79/37.80 | | | | | | | | | | | (150), (158), (159), (160), (161), (163), (164),
% 222.79/37.80 | | | | | | | | | | | (165), (166), (169), (170), (171), (191), (192),
% 222.79/37.80 | | | | | | | | | | | (193), (194), (195), (196), (197), (198), (199),
% 222.79/37.80 | | | | | | | | | | | (201), (202), (203), (204), (205), (207), (208),
% 222.79/37.80 | | | | | | | | | | | (209), (211), (212), (214), (215), (216), (217),
% 222.79/37.80 | | | | | | | | | | | (218), (219), (220), (221), (223), (224), (225),
% 222.79/37.80 | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 222.79/37.80 | | | | | | | | | | | (234), (235), (236), (237), (245), (246), (247),
% 222.79/37.80 | | | | | | | | | | | (248), (249), (256), (257), (258), (259), (267),
% 222.79/37.80 | | | | | | | | | | | (268), (269), (270), (277), (299), (315), (327),
% 222.79/37.80 | | | | | | | | | | | (329), (332), (336), (338), (340), (342), (344),
% 222.79/37.80 | | | | | | | | | | | (348), (350), (361), (363), (364), (366), (368),
% 222.79/37.80 | | | | | | | | | | | (374), (376), (5511), (5514), (5515), (5516),
% 222.79/37.80 | | | | | | | | | | | (5517), (5518), (5519), (5520), (5526), (5527),
% 222.79/37.80 | | | | | | | | | | | (7209), (7210), (7211), (7212), (7213), (7215),
% 222.79/37.80 | | | | | | | | | | | (7370), (function-axioms) are inconsistent by
% 222.79/37.80 | | | | | | | | | | | sub-proof #370.
% 222.79/37.80 | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | End of split
% 222.79/37.80 | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | Case 2:
% 222.79/37.80 | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | (7371) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 222.79/37.80 | | | | | | | | | | e0 & op(e0, e2) = e0)
% 222.79/37.80 | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | BETA: splitting (7371) gives:
% 222.79/37.80 | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | Case 1:
% 222.79/37.80 | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | (7372) all_57_7 = e0 & op(e1, e2) = e0
% 222.79/37.80 | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | ALPHA: (7372) implies:
% 222.79/37.80 | | | | | | | | | | | (7373) all_57_7 = e0
% 222.79/37.80 | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | BETA: splitting (217) gives:
% 222.79/37.80 | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | Case 1:
% 222.79/37.80 | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | (7374) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 222.79/37.80 | | | | | | | | | | | | & op(e1, e2) = e3)
% 222.79/37.80 | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | BETA: splitting (7374) gives:
% 222.79/37.80 | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | Case 1:
% 222.79/37.80 | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | (7375) all_57_6 = e3 & op(e1, e3) = e3
% 222.79/37.80 | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | ALPHA: (7375) implies:
% 222.79/37.80 | | | | | | | | | | | | | (7376) all_57_6 = e3
% 222.79/37.80 | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | BETA: splitting (229) gives:
% 222.79/37.80 | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | Case 1:
% 222.79/37.80 | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | (7377) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 222.79/37.80 | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 222.79/37.80 | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | BETA: splitting (7377) gives:
% 222.79/37.80 | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | Case 1:
% 222.79/37.80 | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | (7378) all_57_1 = e3 & op(e3, e2) = e3
% 222.79/37.80 | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | ALPHA: (7378) implies:
% 222.79/37.80 | | | | | | | | | | | | | | | (7379) all_57_1 = e3
% 222.79/37.80 | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 222.79/37.80 | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | Case 1:
% 222.79/37.80 | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | (7380) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1
% 222.79/37.80 | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 222.79/37.80 | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | BETA: splitting (7380) gives:
% 222.79/37.80 | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.80 | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | (7381) all_57_1 = e1 & op(e3, e2) = e1
% 222.79/37.80 | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.79/37.80 | | | | | | | | | | | | | | | | | (212), (217), (374), (5526), (7373), (7376),
% 222.79/37.80 | | | | | | | | | | | | | | | | | (7379), (7381), (function-axioms) are inconsistent
% 222.79/37.80 | | | | | | | | | | | | | | | | | by sub-proof #929.
% 222.79/37.80 | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.80 | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | (7382) all_57_3 = e1 & op(e2, e2) = e1
% 222.79/37.80 | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | ALPHA: (7382) implies:
% 222.79/37.80 | | | | | | | | | | | | | | | | | (7383) op(e2, e2) = e1
% 222.79/37.80 | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7215), (7383), (function-axioms) are
% 222.79/37.80 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 222.79/37.80 | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | End of split
% 222.79/37.80 | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | Case 2:
% 222.79/37.80 | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | (7384) (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_13 =
% 222.79/37.80 | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 222.79/37.80 | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | BETA: splitting (7384) gives:
% 222.79/37.80 | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.80 | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | (7385) all_57_7 = e1 & op(e1, e2) = e1
% 222.79/37.80 | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7373), (7385) are inconsistent by sub-proof
% 222.79/37.80 | | | | | | | | | | | | | | | | | #2200.
% 222.79/37.80 | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.80 | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | (7386) all_57_13 = e1 & op(e0, e2) = e1
% 222.79/37.80 | | | | | | | | | | | | | | | | |
% 222.79/37.80 | | | | | | | | | | | | | | | | | ALPHA: (7386) implies:
% 222.79/37.80 | | | | | | | | | | | | | | | | | (7387) all_57_13 = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | (7388) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 222.79/37.81 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 222.79/37.81 | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | BETA: splitting (7388) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | (7389) all_57_1 = e2 & op(e3, e2) = e2
% 222.79/37.81 | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7379), (7389) are inconsistent by sub-proof
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | #1809.
% 222.79/37.81 | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | (7390) all_57_3 = e2 & op(e2, e2) = e2
% 222.79/37.81 | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | ALPHA: (7390) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | (7391) all_57_3 = e2
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | (7392) op(e2, e2) = e2
% 222.79/37.81 | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | (7393) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7393) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | (7394) all_57_2 = e0 & op(e2, e3) = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7394) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | (7395) all_57_2 = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | (7396) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7396) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | (7397) all_57_2 = e3 & op(e2, e3) = e3
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7397) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | (7398) all_57_2 = e3
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7395), (7398) are inconsistent by sub-proof
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | #2258.
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | (7399) all_57_3 = e3 & op(e2, e2) = e3
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7391), (7399) are inconsistent by sub-proof
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | #845.
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | (7400) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7400) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | (7401) all_57_5 = e3 & op(e2, e1) = e3
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7401) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | (7402) all_57_5 = e3
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | (7403) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7403) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | (7404) all_57_0 = e1 & op(e3, e3) = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7404) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | (7405) op(e3, e3) = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (7406) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_2 = e2
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (223), (224), (7391),
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (7395), (7402), (7405), (7406), (function-axioms)
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #819.
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (7407) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_12 =
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7407) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7408) all_57_6 = e2 & op(e1, e3) = e2
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7408) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7409) all_57_6 = e2
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7376), (7409) are inconsistent by sub-proof
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2463.
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7410) all_57_12 = e2 & op(e0, e3) = e2
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7410) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7411) all_57_12 = e2
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7412) all_57_15 = e0 & op(e0, e0) = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7412) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7413) op(e0, e0) = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5527), (7413), (function-axioms) are
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7414) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7414) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7415) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7415) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7416) all_57_12 = e0 & op(e0, e3) = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7416) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7417) all_57_12 = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7411), (7417) imply:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7418) e2 = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7391), (7418) imply:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7419) all_57_3 = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (223), (224), (7395),
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7402), (7419) are inconsistent by sub-proof
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2253.
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7420) (all_57_13 = e0 & op(e0, e2) = e0) | (all_57_14 =
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7420) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7421) all_57_13 = e0 & op(e0, e2) = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7421) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7422) op(e0, e2) = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (7211), (7422), (function-axioms) are
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2332.
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7423) all_57_14 = e0 & op(e0, e1) = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7423) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7424) all_57_14 = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (208), (223), (224),
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527), (7215), (7391), (7392), (7395), (7402),
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7411), (7424), (function-axioms) are inconsistent
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #365.
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | (7425) all_57_2 = e1 & op(e2, e3) = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7425) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | (7426) all_57_2 = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7395), (7426) are inconsistent by sub-proof
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | #2473.
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | (7427) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7427) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | (7428) all_57_6 = e1 & op(e1, e3) = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7428) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | (7429) all_57_6 = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (374), (5526), (7373), (7429),
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | #1735.
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | (7430) all_57_12 = e1 & op(e0, e3) = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7430) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | (7431) all_57_12 = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (7432) all_57_15 = e0 & op(e0, e0) = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7432) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (7433) op(e0, e0) = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5527), (7433), (function-axioms) are
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (7434) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7434) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (7435) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7435) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7436) all_57_12 = e0 & op(e0, e3) = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7436) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7437) all_57_12 = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7431), (7437) are inconsistent by sub-proof
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2014.
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7438) (all_57_13 = e0 & op(e0, e2) = e0) | (all_57_14 =
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7438) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7439) all_57_13 = e0 & op(e0, e2) = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7439) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7440) op(e0, e2) = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (7211), (7440), (function-axioms) are
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2332.
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7441) all_57_14 = e0 & op(e0, e1) = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7441) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7442) all_57_14 = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7443) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7443) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7444) all_57_12 = e2 & op(e0, e3) = e2
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7444) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7445) all_57_12 = e2
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (208), (223), (224),
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527), (7215), (7391), (7392), (7395), (7402),
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7442), (7445), (function-axioms) are inconsistent
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #365.
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7446) all_57_13 = e2 & op(e0, e2) = e2
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7446) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7447) all_57_13 = e2
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7387), (7447) are inconsistent by sub-proof
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2327.
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7448) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7448) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7449) all_57_14 = e2 & op(e0, e1) = e2
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7449) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7450) all_57_14 = e2
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7442), (7450) imply:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7451) e2 = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7451) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7452) e2 = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7391), (7452) imply:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7453) all_57_3 = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (223), (224), (7395),
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7402), (7453) are inconsistent by sub-proof
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2253.
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7454) all_57_15 = e2 & op(e0, e0) = e2
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7454) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7455) all_57_15 = e2
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5526), (7455) are inconsistent by sub-proof
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2058.
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | (7456) all_57_10 = e3 & op(e2, e0) = e3
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7456) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | (7457) all_57_10 = e3
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | (7458) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7458) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | (7459) all_57_0 = e1 & op(e3, e3) = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7459) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | (7460) all_57_0 = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (7461) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7461) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7462) all_57_2 = e1 & op(e2, e3) = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7395), (7462) are inconsistent by sub-proof
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2018.
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7463) all_57_3 = e1 & op(e2, e2) = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7463) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7464) op(e2, e2) = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7215), (7464), (function-axioms) are
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (7465) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7465) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7466) all_57_5 = e1 & op(e2, e1) = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7466) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7467) all_57_5 = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7468) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7468) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7469) all_57_4 = e3 & op(e3, e1) = e3
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7469) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7470) all_57_4 = e3
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (231), (235), (7379),
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7460), (7470) are inconsistent by sub-proof
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1808.
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7471) all_57_5 = e3 & op(e2, e1) = e3
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7471) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7472) all_57_5 = e3
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7467), (7472) imply:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7473) e3 = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7473) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7474) e3 = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7376), (7474) imply:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7475) all_57_6 = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (374), (5526), (7373), (7475),
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1735.
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7476) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (208),
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (374), (5526), (7476), (function-axioms)
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1794.
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7477) all_57_10 = e1 & op(e2, e0) = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7477) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7478) all_57_10 = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7457), (7478) imply:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7479) e3 = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7479) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7480) e3 = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7376), (7480) imply:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7481) all_57_6 = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (374), (5526), (7373), (7481),
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1735.
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | (7482) all_57_2 = e1 & op(e2, e3) = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7482) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | (7483) all_57_2 = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7395), (7483) are inconsistent by sub-proof
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | #2473.
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | (7484) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7484) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | (7485) all_57_6 = e1 & op(e1, e3) = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7485) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | (7486) all_57_6 = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (374), (5526), (7373), (7486),
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | #1735.
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | (7487) all_57_12 = e1 & op(e0, e3) = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7487) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | (7488) all_57_12 = e1
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (7489) all_57_15 = e0 & op(e0, e0) = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7489) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (7490) op(e0, e0) = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5527), (7490), (function-axioms) are
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (7491) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7491) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (7492) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7492) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7493) all_57_12 = e0 & op(e0, e3) = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7493) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7494) all_57_12 = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7488), (7494) are inconsistent by sub-proof
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2014.
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7495) (all_57_13 = e0 & op(e0, e2) = e0) | (all_57_14 =
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7495) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7496) all_57_13 = e0 & op(e0, e2) = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7496) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7497) op(e0, e2) = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (7211), (7497), (function-axioms) are
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2332.
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7498) all_57_14 = e0 & op(e0, e1) = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7498) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7499) all_57_14 = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7500) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_2 = e2
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7500) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7501) all_57_0 = e2 & op(e3, e3) = e2
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7501) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7502) all_57_0 = e2
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7503) op(e3, e3) = e2
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7504) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7387), (7488), (7504) are inconsistent by
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #991.
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7505) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7505) gives:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7506) all_57_14 = e2 & op(e0, e1) = e2
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7506) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7507) all_57_14 = e2
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7499), (7507) imply:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7508) e2 = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7508) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7509) e2 = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7391), (7509) imply:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7510) all_57_3 = e0
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (207),
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (211), (212), (217), (223), (224),
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (227), (228), (229), (230), (231), (232),
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (236), (237), (374), (5518), (5526),
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527), (7215), (7373), (7379), (7502), (7503),
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7510), (function-axioms) are inconsistent by
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #605.
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7511) all_57_15 = e2 & op(e0, e0) = e2
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7511) implies:
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7512) all_57_15 = e2
% 222.79/37.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5526), (7512) are inconsistent by sub-proof
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2058.
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7513) all_57_2 = e2 & op(e2, e3) = e2
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7513) implies:
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7514) all_57_2 = e2
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7395), (7514) imply:
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7515) e2 = e0
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7515) implies:
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7516) e2 = e0
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7391), (7516) imply:
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7517) all_57_3 = e0
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (223), (224), (7395),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7457), (7517) are inconsistent by sub-proof
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2247.
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7518) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_12 =
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7518) gives:
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7519) all_57_6 = e2 & op(e1, e3) = e2
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7376), (7519) are inconsistent by sub-proof
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2012.
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7520) all_57_12 = e2 & op(e0, e3) = e2
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7488), (7520) are inconsistent by sub-proof
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1922.
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | (7521) all_57_3 = e0 & op(e2, e2) = e0
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7521) implies:
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | (7522) all_57_3 = e0
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (58),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | (61), (64), (67), (73), (88), (94), (107), (111),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | (113), (114), (118), (119), (121), (122), (124),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | (126), (127), (134), (135), (136), (137), (140),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | (141), (142), (144), (145), (146), (147), (149),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | (150), (158), (159), (160), (161), (163), (164),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | (165), (166), (169), (170), (171), (191), (192),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | (193), (194), (195), (196), (197), (198), (199),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (207), (208),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | (209), (211), (212), (214), (215), (216), (217),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (221), (223), (224), (225),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (245), (246), (247),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | (248), (249), (256), (257), (258), (259), (267),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | (268), (269), (270), (277), (299), (315), (327),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | (329), (332), (336), (338), (340), (342), (344),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | (348), (350), (361), (363), (364), (366), (368),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | (374), (376), (5511), (5514), (5515), (5516),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | (5517), (5518), (5519), (5520), (5526), (5527),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | (7209), (7210), (7211), (7212), (7213), (7215),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | (7522), (function-axioms) are inconsistent by
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | sub-proof #370.
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | (7523) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7523) gives:
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | (7524) all_57_5 = e0 & op(e2, e1) = e0
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7524) implies:
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | (7525) all_57_5 = e0
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (208),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | (209), (211), (212), (217), (221), (225), (230),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (374), (5526),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | (7373), (7376), (7379), (7391), (7525),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | #948.
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | (7526) all_57_10 = e0 & op(e2, e0) = e0
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7526) implies:
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | (7527) op(e2, e0) = e0
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (7213), (7527), (function-axioms) are
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2470.
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.82 | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | (7528) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 222.79/37.82 | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 222.79/37.82 | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | BETA: splitting (7528) gives:
% 222.79/37.82 | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.82 | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | (7529) all_57_7 = e2 & op(e1, e2) = e2
% 222.79/37.82 | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7373), (7529) are inconsistent by sub-proof
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | #364.
% 222.79/37.82 | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.82 | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | (7530) all_57_13 = e2 & op(e0, e2) = e2
% 222.79/37.82 | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | ALPHA: (7530) implies:
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | (7531) all_57_13 = e2
% 222.79/37.82 | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7387), (7531) are inconsistent by sub-proof
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | #2327.
% 222.79/37.82 | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | Case 2:
% 222.79/37.82 | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | (7532) all_57_3 = e3 & op(e2, e2) = e3
% 222.79/37.82 | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | ALPHA: (7532) implies:
% 222.79/37.82 | | | | | | | | | | | | | | | (7533) all_57_3 = e3
% 222.79/37.82 | | | | | | | | | | | | | | | (7534) op(e2, e2) = e3
% 222.79/37.82 | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e2,
% 222.79/37.82 | | | | | | | | | | | | | | | e2, simplifying with (7215), (7534) gives:
% 222.79/37.82 | | | | | | | | | | | | | | | (7535) e3 = e0
% 222.79/37.82 | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | COMBINE_EQS: (7533), (7535) imply:
% 222.79/37.82 | | | | | | | | | | | | | | | (7536) all_57_3 = e0
% 222.79/37.82 | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (58),
% 222.79/37.82 | | | | | | | | | | | | | | | (61), (64), (67), (73), (88), (94), (107), (111),
% 222.79/37.82 | | | | | | | | | | | | | | | (113), (114), (118), (119), (121), (122), (124),
% 222.79/37.82 | | | | | | | | | | | | | | | (126), (127), (134), (135), (136), (137), (140),
% 222.79/37.82 | | | | | | | | | | | | | | | (141), (142), (144), (145), (146), (147), (149),
% 222.79/37.82 | | | | | | | | | | | | | | | (150), (158), (159), (160), (161), (163), (164),
% 222.79/37.82 | | | | | | | | | | | | | | | (165), (166), (169), (170), (171), (191), (192),
% 222.79/37.82 | | | | | | | | | | | | | | | (193), (194), (195), (196), (197), (198), (199),
% 222.79/37.82 | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (207), (208),
% 222.79/37.82 | | | | | | | | | | | | | | | (209), (211), (212), (214), (215), (216), (217),
% 222.79/37.82 | | | | | | | | | | | | | | | (218), (219), (220), (221), (223), (224), (225),
% 222.79/37.82 | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 222.79/37.82 | | | | | | | | | | | | | | | (234), (235), (236), (237), (245), (246), (247),
% 222.79/37.82 | | | | | | | | | | | | | | | (248), (249), (256), (257), (258), (259), (267),
% 222.79/37.82 | | | | | | | | | | | | | | | (268), (269), (270), (277), (299), (315), (327),
% 222.79/37.82 | | | | | | | | | | | | | | | (329), (332), (336), (338), (340), (342), (344),
% 222.79/37.82 | | | | | | | | | | | | | | | (348), (350), (361), (363), (364), (366), (368),
% 222.79/37.82 | | | | | | | | | | | | | | | (374), (376), (5511), (5514), (5515), (5516),
% 222.79/37.82 | | | | | | | | | | | | | | | (5517), (5518), (5519), (5520), (5526), (5527),
% 222.79/37.82 | | | | | | | | | | | | | | | (7209), (7210), (7211), (7212), (7213), (7215),
% 222.79/37.82 | | | | | | | | | | | | | | | (7536), (function-axioms) are inconsistent by
% 222.79/37.82 | | | | | | | | | | | | | | | sub-proof #370.
% 222.79/37.82 | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | Case 2:
% 222.79/37.82 | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | (7537) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 222.79/37.82 | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 222.79/37.82 | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | BETA: splitting (7537) gives:
% 222.79/37.82 | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | Case 1:
% 222.79/37.82 | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | (7538) all_57_7 = e3 & op(e1, e2) = e3
% 222.79/37.82 | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | ALPHA: (7538) implies:
% 222.79/37.82 | | | | | | | | | | | | | | | (7539) all_57_7 = e3
% 222.79/37.82 | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | REF_CLOSE: (7), (7373), (7539) are inconsistent by sub-proof
% 222.79/37.82 | | | | | | | | | | | | | | | #2269.
% 222.79/37.82 | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | Case 2:
% 222.79/37.82 | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | (7540) all_57_13 = e3 & op(e0, e2) = e3
% 222.79/37.82 | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | ALPHA: (7540) implies:
% 222.79/37.82 | | | | | | | | | | | | | | | (7541) all_57_13 = e3
% 222.79/37.82 | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 222.79/37.82 | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | Case 1:
% 222.79/37.82 | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | (7542) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1
% 222.79/37.82 | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 222.79/37.82 | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | BETA: splitting (7542) gives:
% 222.79/37.82 | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.82 | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | (7543) all_57_1 = e1 & op(e3, e2) = e1
% 222.79/37.82 | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | ALPHA: (7543) implies:
% 222.79/37.82 | | | | | | | | | | | | | | | | | (7544) all_57_1 = e1
% 222.79/37.82 | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 222.79/37.82 | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.82 | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | (7545) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 222.79/37.82 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 222.79/37.82 | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | BETA: splitting (7545) gives:
% 222.79/37.82 | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.82 | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | (7546) all_57_1 = e2 & op(e3, e2) = e2
% 222.79/37.82 | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7544), (7546) are inconsistent by sub-proof
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | #2489.
% 222.79/37.82 | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.82 | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | (7547) all_57_3 = e2 & op(e2, e2) = e2
% 222.79/37.82 | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | ALPHA: (7547) implies:
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | (7548) all_57_3 = e2
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | (7549) op(e2, e2) = e2
% 222.79/37.82 | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e2,
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | e2, simplifying with (7215), (7549) gives:
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | (7550) e2 = e0
% 222.79/37.82 | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7548), (7550) imply:
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | (7551) all_57_3 = e0
% 222.79/37.82 | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (58),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | (61), (64), (67), (73), (88), (94), (107), (111),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | (113), (114), (118), (119), (121), (122), (124),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | (126), (127), (134), (135), (136), (137), (140),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | (141), (142), (144), (145), (146), (147), (149),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | (150), (158), (159), (160), (161), (163), (164),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | (165), (166), (169), (170), (171), (191), (192),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | (193), (194), (195), (196), (197), (198), (199),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | (201), (202), (203), (204), (205), (207), (208),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | (209), (211), (212), (214), (215), (216), (217),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | (218), (219), (220), (221), (223), (224), (225),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (245), (246), (247),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | (248), (249), (256), (257), (258), (259), (267),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | (268), (269), (270), (277), (299), (315), (327),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | (329), (332), (336), (338), (340), (342), (344),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | (348), (350), (361), (363), (364), (366), (368),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | (374), (376), (5511), (5514), (5515), (5516),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | (5517), (5518), (5519), (5520), (5526), (5527),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | (7209), (7210), (7211), (7212), (7213), (7215),
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | (7551), (function-axioms) are inconsistent by
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | sub-proof #370.
% 222.79/37.82 | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.82 | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | (7552) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 222.79/37.82 | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 222.79/37.82 | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | BETA: splitting (7552) gives:
% 222.79/37.82 | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.82 | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | (7553) all_57_7 = e2 & op(e1, e2) = e2
% 222.79/37.82 | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7373), (7553) are inconsistent by sub-proof
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | #364.
% 222.79/37.82 | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.82 | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | (7554) all_57_13 = e2 & op(e0, e2) = e2
% 222.79/37.82 | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7541), (7554) are inconsistent by sub-proof
% 222.79/37.82 | | | | | | | | | | | | | | | | | | | #2146.
% 222.79/37.82 | | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.82 | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | (7555) all_57_3 = e1 & op(e2, e2) = e1
% 222.79/37.82 | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | ALPHA: (7555) implies:
% 222.79/37.82 | | | | | | | | | | | | | | | | | (7556) op(e2, e2) = e1
% 222.79/37.82 | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7215), (7556), (function-axioms) are
% 222.79/37.82 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 222.79/37.82 | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | Case 2:
% 222.79/37.82 | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | (7557) (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_13 =
% 222.79/37.82 | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 222.79/37.82 | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | BETA: splitting (7557) gives:
% 222.79/37.82 | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.82 | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | (7558) all_57_7 = e1 & op(e1, e2) = e1
% 222.79/37.82 | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | ALPHA: (7558) implies:
% 222.79/37.82 | | | | | | | | | | | | | | | | | (7559) all_57_7 = e1
% 222.79/37.82 | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7373), (7559) are inconsistent by sub-proof
% 222.79/37.82 | | | | | | | | | | | | | | | | | #2211.
% 222.79/37.82 | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.82 | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | (7560) all_57_13 = e1 & op(e0, e2) = e1
% 222.79/37.82 | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | ALPHA: (7560) implies:
% 222.79/37.82 | | | | | | | | | | | | | | | | | (7561) all_57_13 = e1
% 222.79/37.82 | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | COMBINE_EQS: (7541), (7561) imply:
% 222.79/37.82 | | | | | | | | | | | | | | | | | (7562) e3 = e1
% 222.79/37.82 | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | SIMP: (7562) implies:
% 222.79/37.82 | | | | | | | | | | | | | | | | | (7563) e3 = e1
% 222.79/37.82 | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | COMBINE_EQS: (7376), (7563) imply:
% 222.79/37.82 | | | | | | | | | | | | | | | | | (7564) all_57_6 = e1
% 222.79/37.82 | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.79/37.82 | | | | | | | | | | | | | | | | | (212), (217), (374), (5526), (7373), (7564),
% 222.79/37.82 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.82 | | | | | | | | | | | | | | | | | #1735.
% 222.79/37.82 | | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | Case 2:
% 222.79/37.82 | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | (7565) all_57_7 = e3 & op(e1, e2) = e3
% 222.79/37.82 | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | ALPHA: (7565) implies:
% 222.79/37.82 | | | | | | | | | | | | | (7566) all_57_7 = e3
% 222.79/37.82 | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | REF_CLOSE: (7), (7373), (7566) are inconsistent by sub-proof
% 222.79/37.82 | | | | | | | | | | | | | #2269.
% 222.79/37.82 | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | Case 2:
% 222.79/37.82 | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | (7567) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 222.79/37.82 | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 222.79/37.82 | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 222.79/37.82 | | | | | | | | | | | | (212), (374), (5526), (7567), (function-axioms)
% 222.79/37.82 | | | | | | | | | | | | are inconsistent by sub-proof #1786.
% 222.79/37.82 | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | Case 2:
% 222.79/37.82 | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | (7568) all_57_13 = e0 & op(e0, e2) = e0
% 222.79/37.82 | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | ALPHA: (7568) implies:
% 222.79/37.82 | | | | | | | | | | | (7569) op(e0, e2) = e0
% 222.79/37.82 | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | REF_CLOSE: (159), (7211), (7569), (function-axioms) are
% 222.79/37.82 | | | | | | | | | | | inconsistent by sub-proof #2332.
% 222.79/37.82 | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | End of split
% 222.79/37.82 | | | | | | | | |
% 222.79/37.82 | | | | | | | | End of split
% 222.79/37.82 | | | | | | | |
% 222.79/37.82 | | | | | | | End of split
% 222.79/37.82 | | | | | | |
% 222.79/37.82 | | | | | | End of split
% 222.79/37.82 | | | | | |
% 222.79/37.82 | | | | | End of split
% 222.79/37.82 | | | | |
% 222.79/37.82 | | | | Case 2:
% 222.79/37.82 | | | | |
% 222.79/37.82 | | | | | (7570) all_10_2 = e1
% 222.79/37.82 | | | | | (7571) ( ~ (all_10_0 = e2) & op(all_10_1, e3) = all_10_0 & op(e3,
% 222.79/37.82 | | | | | e1) = all_10_1 & $i(all_10_0) & $i(all_10_1)) | ( ~
% 222.79/37.82 | | | | | (all_10_1 = e0) & op(e3, e1) = all_10_1 & $i(all_10_1))
% 222.79/37.82 | | | | |
% 222.79/37.82 | | | | | COMBINE_EQS: (331), (7570) imply:
% 222.79/37.82 | | | | | (7572) all_36_2 = e1
% 222.79/37.82 | | | | |
% 222.79/37.82 | | | | | REDUCE: (338), (7570) imply:
% 222.79/37.82 | | | | | (7573) ~ (all_53_1 = e1)
% 222.79/37.82 | | | | |
% 222.79/37.82 | | | | | REDUCE: (340), (7570) imply:
% 222.79/37.82 | | | | | (7574) ~ (all_53_2 = e1)
% 222.79/37.82 | | | | |
% 222.79/37.82 | | | | | REDUCE: (342), (7570) imply:
% 222.79/37.82 | | | | | (7575) ~ (all_53_3 = e1)
% 222.79/37.82 | | | | |
% 222.79/37.82 | | | | | REDUCE: (344), (7570) imply:
% 222.79/37.82 | | | | | (7576) ~ (all_53_4 = e1)
% 222.79/37.82 | | | | |
% 222.79/37.82 | | | | | REDUCE: (346), (7570) imply:
% 222.79/37.82 | | | | | (7577) ~ (all_53_8 = e1)
% 222.79/37.82 | | | | |
% 222.79/37.82 | | | | | REDUCE: (348), (7570) imply:
% 222.79/37.82 | | | | | (7578) ~ (all_53_12 = e1)
% 222.79/37.82 | | | | |
% 222.79/37.82 | | | | | BETA: splitting (232) gives:
% 222.79/37.82 | | | | |
% 222.79/37.82 | | | | | Case 1:
% 222.79/37.82 | | | | | |
% 222.79/37.82 | | | | | | (7579) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1 &
% 222.79/37.82 | | | | | | op(e2, e3) = e1)
% 222.79/37.82 | | | | | |
% 222.79/37.82 | | | | | | BETA: splitting (7579) gives:
% 222.79/37.82 | | | | | |
% 222.79/37.82 | | | | | | Case 1:
% 222.79/37.82 | | | | | | |
% 222.79/37.82 | | | | | | | (7580) all_57_0 = e1 & op(e3, e3) = e1
% 222.79/37.82 | | | | | | |
% 222.79/37.82 | | | | | | | ALPHA: (7580) implies:
% 222.79/37.82 | | | | | | | (7581) all_57_0 = e1
% 222.79/37.82 | | | | | | | (7582) op(e3, e3) = e1
% 222.79/37.82 | | | | | | |
% 222.79/37.82 | | | | | | | BETA: splitting (49) gives:
% 222.79/37.82 | | | | | | |
% 222.79/37.82 | | | | | | | Case 1:
% 222.79/37.82 | | | | | | | |
% 222.79/37.82 | | | | | | | | (7583) ~ (all_12_2 = e3)
% 222.79/37.82 | | | | | | | |
% 222.79/37.82 | | | | | | | | REDUCE: (325), (7583) imply:
% 222.79/37.82 | | | | | | | | (7584) ~ (all_4_2 = e3)
% 222.79/37.82 | | | | | | | |
% 222.79/37.82 | | | | | | | | BETA: splitting (52) gives:
% 222.79/37.82 | | | | | | | |
% 222.79/37.82 | | | | | | | | Case 1:
% 222.79/37.82 | | | | | | | | |
% 222.79/37.82 | | | | | | | | | (7585) ~ (all_14_2 = e0)
% 222.79/37.82 | | | | | | | | |
% 222.79/37.82 | | | | | | | | | REDUCE: (328), (7585) imply:
% 222.79/37.82 | | | | | | | | | (7586) ~ (all_8_2 = e0)
% 222.79/37.82 | | | | | | | | |
% 222.79/37.82 | | | | | | | | | BETA: splitting (55) gives:
% 222.79/37.82 | | | | | | | | |
% 222.79/37.82 | | | | | | | | | Case 1:
% 222.79/37.82 | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | (7587) ~ (all_16_2 = e1)
% 222.79/37.82 | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | REDUCE: (324), (7587) imply:
% 222.79/37.82 | | | | | | | | | | (7588) ~ (all_8_2 = e1)
% 222.79/37.82 | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | BETA: splitting (200) gives:
% 222.79/37.82 | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | Case 1:
% 222.79/37.82 | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | (7589) all_55_5 = e3
% 222.79/37.82 | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | COMBINE_EQS: (266), (7589) imply:
% 222.79/37.82 | | | | | | | | | | | (7590) all_8_2 = e3
% 222.79/37.82 | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | REDUCE: (375), (7590) imply:
% 222.79/37.82 | | | | | | | | | | | (7591) $false
% 222.79/37.82 | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | CLOSE: (7591) is inconsistent.
% 222.79/37.82 | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | Case 2:
% 222.79/37.82 | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | (7592) ~ (all_55_5 = e3)
% 222.79/37.82 | | | | | | | | | | | (7593) all_55_5 = e2 | all_55_5 = e1 | all_55_5 = e0
% 222.79/37.82 | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | BETA: splitting (7593) gives:
% 222.79/37.82 | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | Case 1:
% 222.79/37.82 | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | (7594) all_55_5 = e2
% 222.79/37.82 | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | COMBINE_EQS: (266), (7594) imply:
% 222.79/37.82 | | | | | | | | | | | | (7595) all_8_2 = e2
% 222.79/37.82 | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | REDUCE: (349), (7595) imply:
% 222.79/37.82 | | | | | | | | | | | | (7596) ~ (all_53_1 = e2)
% 222.79/37.82 | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | REDUCE: (352), (7595) imply:
% 222.79/37.82 | | | | | | | | | | | | (7597) ~ (all_53_4 = e2)
% 222.79/37.82 | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | REDUCE: (354), (7595) imply:
% 222.79/37.82 | | | | | | | | | | | | (7598) ~ (all_53_6 = e2)
% 222.79/37.82 | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | REDUCE: (356), (7595) imply:
% 222.79/37.82 | | | | | | | | | | | | (7599) ~ (all_53_7 = e2)
% 222.79/37.82 | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | REDUCE: (358), (7595) imply:
% 222.79/37.82 | | | | | | | | | | | | (7600) ~ (all_53_9 = e2)
% 222.79/37.82 | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | REDUCE: (360), (7595) imply:
% 222.79/37.82 | | | | | | | | | | | | (7601) ~ (all_53_13 = e2)
% 222.79/37.82 | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | REDUCE: (375), (7595) imply:
% 222.79/37.82 | | | | | | | | | | | | (7602) ~ (e3 = e2)
% 222.79/37.82 | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | BETA: splitting (224) gives:
% 222.79/37.82 | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | Case 1:
% 222.79/37.82 | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | (7603) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 222.79/37.82 | | | | | | | | | | | | | & op(e2, e2) = e2)
% 222.79/37.82 | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | BETA: splitting (7603) gives:
% 222.79/37.82 | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | Case 1:
% 222.79/37.82 | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | (7604) all_57_2 = e2 & op(e2, e3) = e2
% 222.79/37.82 | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | | REF_CLOSE: (168), (7596), (7604), (function-axioms) are
% 222.79/37.82 | | | | | | | | | | | | | | inconsistent by sub-proof #2504.
% 222.79/37.82 | | | | | | | | | | | | | |
% 222.79/37.82 | | | | | | | | | | | | | Case 2:
% 222.79/37.82 | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | (7605) all_57_3 = e2 & op(e2, e2) = e2
% 222.79/37.83 | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | ALPHA: (7605) implies:
% 222.79/37.83 | | | | | | | | | | | | | | (7606) all_57_3 = e2
% 222.79/37.83 | | | | | | | | | | | | | | (7607) op(e2, e2) = e2
% 222.79/37.83 | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 222.79/37.83 | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | (7608) ~ (all_24_2 = e0)
% 222.79/37.83 | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | REDUCE: (315), (7608) imply:
% 222.79/37.83 | | | | | | | | | | | | | | | (7609) ~ (all_6_2 = e0)
% 222.79/37.83 | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 222.79/37.83 | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | (7610) ~ (all_30_2 = e1)
% 222.79/37.83 | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | REDUCE: (330), (7610) imply:
% 222.79/37.83 | | | | | | | | | | | | | | | | (7611) ~ (all_4_2 = e1)
% 222.79/37.83 | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | (7612) all_55_15 = e3
% 222.79/37.83 | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (7612) imply:
% 222.79/37.83 | | | | | | | | | | | | | | | | | (7613) all_4_2 = e3
% 222.79/37.83 | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | REDUCE: (7584), (7613) imply:
% 222.79/37.83 | | | | | | | | | | | | | | | | | (7614) $false
% 222.79/37.83 | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | CLOSE: (7614) is inconsistent.
% 222.79/37.83 | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.83 | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | (7615) ~ (all_55_15 = e3)
% 222.79/37.83 | | | | | | | | | | | | | | | | | (7616) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 222.79/37.83 | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | BETA: splitting (7616) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | (7617) all_55_15 = e2
% 222.79/37.83 | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (7617) imply:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | (7618) all_4_2 = e2
% 222.79/37.83 | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | REDUCE: (373), (7618) imply:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | (7619) $false
% 222.79/37.83 | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | CLOSE: (7619) is inconsistent.
% 222.79/37.83 | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.83 | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | (7620) ~ (all_55_15 = e2)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | (7621) all_55_15 = e1 | all_55_15 = e0
% 222.79/37.83 | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | BETA: splitting (7621) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | (7622) all_55_15 = e1
% 222.79/37.83 | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (7622) imply:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | (7623) all_4_2 = e1
% 222.79/37.83 | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | REDUCE: (7611), (7623) imply:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | (7624) $false
% 222.79/37.83 | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | CLOSE: (7624) is inconsistent.
% 222.79/37.83 | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | (7625) all_55_15 = e0
% 222.79/37.83 | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (7625) imply:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | (7626) all_4_2 = e0
% 222.79/37.83 | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | REDUCE: (351), (7626) imply:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | (7627) ~ (all_53_3 = e0)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | REDUCE: (370), (7626) imply:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | (7628) ~ (all_53_12 = e0)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | REDUCE: (371), (7626) imply:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | (7629) ~ (all_53_13 = e0)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | REDUCE: (372), (7626) imply:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | (7630) ~ (all_53_14 = e0)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | REDUCE: (7584), (7626) imply:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | (7631) ~ (e3 = e0)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | REDUCE: (7611), (7626) imply:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | (7632) ~ (e1 = e0)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | REDUCE: (36), (7626) imply:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | (7633) op(e0, e0) = e0
% 222.79/37.83 | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | (7634) ~ (all_38_2 = e2)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | REDUCE: (249), (7634) imply:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | (7635) ~ (all_6_2 = e2)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | (7636) all_55_10 = e3
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (374), (7636) are inconsistent by sub-proof
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | #2500.
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | (7637) ~ (all_55_10 = e3)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | (7638) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7638) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | (7639) all_55_10 = e2
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (7635), (7639) are inconsistent by
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2499.
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | (7640) ~ (all_55_10 = e2)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | (7641) all_55_10 = e1 | all_55_10 = e0
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7641) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | (7642) all_55_10 = e1
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (7642) imply:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | (7643) all_6_2 = e1
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7643) implies:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | (7644) all_6_2 = e1
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (7644) imply:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | (7645) ~ (all_53_6 = e1)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (7644) imply:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | (7646) ~ (all_53_9 = e1)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7635), (7644) imply:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | (7647) ~ (e2 = e1)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (7644) imply:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | (7648) op(e1, e1) = e1
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | (7649) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (171), (7576), (7607), (7649),
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | #362.
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | (7650) (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_13 =
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7650) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | (7651) all_57_7 = e1 & op(e1, e2) = e1
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7645), (7651), (function-axioms) are
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2265.
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | (7652) all_57_13 = e1 & op(e0, e2) = e1
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7652) implies:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | (7653) op(e0, e2) = e1
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (7654) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (168), (7573), (7607), (7654),
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | #361.
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (7655) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7655) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7656) all_57_5 = e1 & op(e2, e1) = e1
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (7646), (7656), (function-axioms) are
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2305.
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7657) all_57_10 = e1 & op(e2, e0) = e1
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7657) implies:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7658) op(e2, e0) = e1
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_7, e1,
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (159), (7653) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7659) all_53_7 = e1
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_13,
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (165), (7658) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7660) all_53_13 = e1
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7661) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (39), (374), (7582), (7648), (7658), (7661),
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #359.
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7662) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7662) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7663) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7663) implies:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7664) op(e1, e2) = all_52_19
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7665) op(all_52_19, all_52_19) = e2
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_6,
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_19, e2, e1, simplifying with (163), (7664)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7666) all_53_6 = all_52_19
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (7666) imply:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7667) all_55_9 = all_52_19
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (7666) imply:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7668) ~ (all_53_4 = all_52_19)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7598), (7666) imply:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7669) ~ (all_52_19 = e2)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7645), (7666) imply:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7670) ~ (all_52_19 = e1)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7671) all_55_1 = e3
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (7671) imply:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7672) all_53_4 = e3
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7672) implies:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7673) all_53_4 = e3
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7668), (7673) imply:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7674) ~ (all_52_19 = e3)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7674) implies:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7675) ~ (all_52_19 = e3)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7676) all_55_9 = e3
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7667), (7675), (7676) are inconsistent by
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1603.
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7677) all_55_9 = e2 | all_55_9 = e1 | all_55_9 = e0
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (256), (7598), (7633), (7645), (7664),
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7665), (7677), (function-axioms) are inconsistent
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2157.
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7678) all_55_1 = e2 | all_55_1 = e1 | all_55_1 = e0
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (196), (270), (7576), (7582), (7597), (7665),
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7667), (7668), (7669), (7670), (7678),
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #357.
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7679) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7648), (7653), (7679), (function-axioms) are
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #356.
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | (7680) all_55_10 = e0
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (7609), (7680) are inconsistent by
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2118.
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | (7681) all_38_2 = e2
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (7681) imply:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | (7682) all_6_2 = e2
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (7682) imply:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | (7683) op(e1, e1) = e2
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | (7684) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_2 = e2
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (168), (7582), (7596), (7684),
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | #355.
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | (7685) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_12 =
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7685) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | (7686) all_57_6 = e2 & op(e1, e3) = e2
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7686) implies:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | (7687) all_57_6 = e2
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | (7688) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7688) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | (7689) all_57_0 = e0 & op(e3, e3) = e0
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7581), (7689) are inconsistent by sub-proof
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | #1812.
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | (7690) all_57_2 = e0 & op(e2, e3) = e0
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7690) implies:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | (7691) all_57_2 = e0
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | (7692) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7692) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (7693) all_57_9 = e2 & op(e3, e0) = e2
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7693) implies:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (7694) all_57_9 = e2
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7695) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7695) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7696) all_57_12 = e2 & op(e0, e3) = e2
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7696) implies:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7697) all_57_12 = e2
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7698) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7698) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7699) all_57_6 = e0 & op(e1, e3) = e0
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7606), (7687), (7691), (7699) are inconsistent by
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #354.
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7700) all_57_7 = e0 & op(e1, e2) = e0
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7700) implies:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7701) all_57_7 = e0
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (211),
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (217), (230), (232), (236), (374), (7578),
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7633), (7687), (7691), (7694), (7697), (7701),
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #351.
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7702) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7702) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7703) all_57_8 = e0 & op(e1, e1) = e0
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (7609), (7703), (function-axioms) are
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2412.
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7704) all_57_11 = e0 & op(e1, e0) = e0
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (7630), (7704), (function-axioms) are
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2341.
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7705) all_57_13 = e2 & op(e0, e2) = e2
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7705) implies:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7706) op(e0, e2) = e2
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (7599), (7706), (function-axioms) are
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2335.
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7707) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7707) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7708) all_57_14 = e2 & op(e0, e1) = e2
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7708) implies:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7709) all_57_14 = e2
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7710) (all_57_12 = e1 & op(e0, e3) = e1) | (all_57_13 =
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7710) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7711) all_57_12 = e1 & op(e0, e3) = e1
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (7575), (7711), (function-axioms) are
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1947.
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7712) all_57_13 = e1 & op(e0, e2) = e1
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7712) implies:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7713) all_57_13 = e1
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7714) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_2 = e3
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (7582), (7691), (7714),
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1064.
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7715) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_12 =
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7715) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7716) all_57_6 = e3 & op(e1, e3) = e3
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7716) implies:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7717) all_57_6 = e3
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7687), (7717) are inconsistent by sub-proof
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2463.
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7718) all_57_12 = e3 & op(e0, e3) = e3
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7718) implies:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7719) all_57_12 = e3
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7720) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7720) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7721) all_57_6 = e0 & op(e1, e3) = e0
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7606), (7687), (7691), (7721) are inconsistent by
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #354.
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7722) all_57_7 = e0 & op(e1, e2) = e0
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7722) implies:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7723) all_57_7 = e0
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7724) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7724) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7725) all_57_1 = e3 & op(e3, e2) = e3
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7725) implies:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7726) all_57_1 = e3
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7727) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7727) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7728) all_57_6 = e3 & op(e1, e3) = e3
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7728) implies:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7729) all_57_6 = e3
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7687), (7729) imply:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7730) e3 = e2
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7730) implies:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7731) e3 = e2
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7719), (7731) imply:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7732) all_57_12 = e2
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (211),
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (217), (230), (232), (236), (374), (7578),
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7633), (7687), (7691), (7694), (7723), (7732),
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #351.
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7733) all_57_7 = e3 & op(e1, e2) = e3
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7733) implies:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7734) all_57_7 = e3
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7713), (7726), (7734) are inconsistent by
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1214.
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7735) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7735) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7736) all_57_8 = e3 & op(e1, e1) = e3
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7736) implies:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7737) op(e1, e1) = e3
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (7737), (function-axioms) are
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7738) all_57_11 = e3 & op(e1, e0) = e3
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7738) implies:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7739) all_57_11 = e3
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7740) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7740) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7741) all_57_6 = e1 & op(e1, e3) = e1
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7741) implies:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7742) all_57_6 = e1
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (7582), (7691), (7719),
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7742), (function-axioms) are inconsistent by
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #350.
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7743) all_57_7 = e1 & op(e1, e2) = e1
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7743) implies:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7744) all_57_7 = e1
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (39), (214), (7609), (7687),
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7739), (7744), (function-axioms) are inconsistent
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #349.
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7745) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (7683), (7739), (7745),
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2217.
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7746) all_57_3 = e3 & op(e2, e2) = e3
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7746) implies:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7747) op(e2, e2) = e3
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7607), (7747), (function-axioms) are
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2298.
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7748) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7748) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7749) all_57_7 = e3 & op(e1, e2) = e3
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7749) implies:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7750) all_57_7 = e3
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7723), (7750) are inconsistent by sub-proof
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2269.
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7751) all_57_13 = e3 & op(e0, e2) = e3
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7751) implies:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7752) all_57_13 = e3
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7713), (7752) are inconsistent by sub-proof
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2268.
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7753) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7753) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7754) all_57_8 = e0 & op(e1, e1) = e0
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (7609), (7754), (function-axioms) are
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2412.
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7755) all_57_11 = e0 & op(e1, e0) = e0
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (7630), (7755), (function-axioms) are
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2341.
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7756) (all_57_14 = e1 & op(e0, e1) = e1) | (all_57_15 =
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7633), (7709), (7756),
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1179.
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7757) all_57_15 = e2 & op(e0, e0) = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7757) implies:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7758) op(e0, e0) = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (7758), (function-axioms) are
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2334.
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (7759) all_57_10 = e2 & op(e2, e0) = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (7601), (7759), (function-axioms) are
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2432.
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | (7760) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (161),
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (217), (373), (374), (7609), (7630),
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | (7683), (7760), (function-axioms) are inconsistent
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #346.
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | (7761) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (160), (7627), (7687), (7761),
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | #1670.
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | (7762) all_57_12 = e2 & op(e0, e3) = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7762) implies:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | (7763) op(e0, e3) = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | (7764) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7764) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | (7765) all_57_9 = e2 & op(e3, e0) = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7765) implies:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | (7766) op(e3, e0) = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_3, e2,
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (160), (7763) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | (7767) all_53_3 = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_12,
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e3, simplifying with (169), (7766) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | (7768) all_53_12 = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | (7769) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7769) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (7770) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7607), (7766), (7770), (function-axioms) are
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2296.
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (7771) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7771) implies:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (7772) op(e2, e3) = all_52_9
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (7773) op(all_52_9, all_52_9) = e3
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_1,
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_9, e3, e2, simplifying with (168), (7772)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (7774) all_53_1 = all_52_9
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (7774) imply:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (7775) all_55_4 = all_52_9
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7596), (7774) imply:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (7776) ~ (all_52_9 = e2)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7573), (7774) imply:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (7777) ~ (all_52_9 = e1)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7778) all_55_4 = e3
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7775), (7778) imply:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7779) all_52_9 = e3
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7779) implies:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7780) all_52_9 = e3
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7773), (7780) imply:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7781) op(e3, e3) = e3
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7582), (7781), (function-axioms) are
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7782) ~ (all_55_4 = e3)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7783) all_55_4 = e2 | all_55_4 = e1 | all_55_4 = e0
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7775), (7782) imply:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7784) ~ (all_52_9 = e3)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7633), (7773), (7775), (7776), (7777), (7783),
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7784), (function-axioms) are inconsistent by
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #343.
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | (7785) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7607), (7683), (7763), (7785),
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | #2259.
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | (7786) all_57_10 = e2 & op(e2, e0) = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (7601), (7786), (function-axioms) are
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2432.
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | (7787) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (161),
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (217), (373), (374), (7609), (7630),
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | (7683), (7787), (function-axioms) are inconsistent
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #346.
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | Case 2:
% 222.79/37.84 | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | (7788) all_30_2 = e1
% 222.79/37.84 | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (7788) imply:
% 222.79/37.84 | | | | | | | | | | | | | | | | (7789) all_4_2 = e1
% 222.79/37.84 | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | SIMP: (7789) implies:
% 222.79/37.84 | | | | | | | | | | | | | | | | (7790) all_4_2 = e1
% 222.79/37.84 | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | REDUCE: (362), (7790) imply:
% 222.79/37.84 | | | | | | | | | | | | | | | | (7791) ~ (all_53_7 = e1)
% 222.79/37.84 | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | REDUCE: (371), (7790) imply:
% 222.79/37.84 | | | | | | | | | | | | | | | | (7792) ~ (all_53_13 = e1)
% 222.79/37.84 | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | REDUCE: (7584), (7790) imply:
% 222.79/37.84 | | | | | | | | | | | | | | | | (7793) ~ (e3 = e1)
% 222.79/37.84 | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | REDUCE: (373), (7790) imply:
% 222.79/37.84 | | | | | | | | | | | | | | | | (7794) ~ (e2 = e1)
% 222.79/37.84 | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | REDUCE: (36), (7790) imply:
% 222.79/37.84 | | | | | | | | | | | | | | | | (7795) op(e0, e0) = e1
% 222.79/37.84 | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.84 | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | (7796) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1
% 222.79/37.84 | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 222.79/37.84 | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (171), (7576), (7607), (7796),
% 222.79/37.84 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.84 | | | | | | | | | | | | | | | | | #362.
% 222.79/37.84 | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.84 | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | (7797) (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_13 =
% 222.79/37.84 | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 222.79/37.84 | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | BETA: splitting (7797) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.84 | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | (7798) all_57_7 = e1 & op(e1, e2) = e1
% 222.79/37.84 | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | ALPHA: (7798) implies:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | (7799) all_57_7 = e1
% 222.79/37.84 | | | | | | | | | | | | | | | | | | (7800) op(e1, e2) = e1
% 222.79/37.84 | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | (7801) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (168), (7573), (7607), (7801),
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | #361.
% 222.79/37.84 | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | (7802) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | BETA: splitting (7802) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | (7803) all_57_5 = e1 & op(e2, e1) = e1
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | ALPHA: (7803) implies:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | (7804) all_57_5 = e1
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | (7805) op(e2, e1) = e1
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_6, e1,
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (163), (7800) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | (7806) all_53_6 = e1
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_9, e1,
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (166), (7805) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | (7807) all_53_9 = e1
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (7807) imply:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | (7808) ~ (all_6_2 = e1)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | SIMP: (7808) implies:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | (7809) ~ (all_6_2 = e1)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | (7810) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7810) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | (7811) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7811) implies:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | (7812) op(e3, e0) = all_52_7
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | (7813) op(e3, e3) = all_52_1
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | (7814) op(all_52_7, all_52_7) = e0
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | (7815) op(all_52_1, all_52_1) = e3
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | (7816) all_55_10 = e3
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (374), (7816) are inconsistent by sub-proof
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | #2500.
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | (7817) ~ (all_55_10 = e3)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | (7818) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7818) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | (7819) all_55_10 = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (7819) imply:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | (7820) all_6_2 = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7820) implies:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | (7821) all_6_2 = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (7821) imply:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | (7822) op(e1, e1) = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | (7823) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_2 = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7823) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (7824) all_57_0 = e2 & op(e3, e3) = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7824) implies:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (7825) op(e3, e3) = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7607), (7813), (7815), (7825),
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | #1951.
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (7826) all_57_2 = e2 & op(e2, e3) = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (7596), (7826), (function-axioms) are
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2504.
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | (7827) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_12 =
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7827) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (7828) all_57_6 = e2 & op(e1, e3) = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7828) implies:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (7829) all_57_6 = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (214), (217),
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (7609), (7799), (7829), (function-axioms)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #342.
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (7830) all_57_12 = e2 & op(e0, e3) = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7830) implies:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (7831) all_57_12 = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7832) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (171), (7597), (7607), (7813), (7815),
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7832), (function-axioms) are inconsistent by
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #341.
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7833) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7833) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7834) all_57_4 = e2 & op(e3, e1) = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7834) implies:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7835) all_57_4 = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (218), (221),
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (7609), (7804), (7835), (function-axioms)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #339.
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7836) all_57_9 = e2 & op(e3, e0) = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7836) implies:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7837) op(e3, e0) = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7838) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7838) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_12,
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e3, simplifying with (169), (7837) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7839) all_53_12 = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (169), (7607), (7812), (7814), (7839),
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #338.
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7840) all_57_13 = e2 & op(e0, e2) = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7840) implies:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7841) op(e0, e2) = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (7599), (7841), (function-axioms) are
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2335.
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7842) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7842) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7843) all_57_14 = e2 & op(e0, e1) = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7843) implies:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7844) all_57_14 = e2
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7845) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7845) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7846) all_57_4 = e3 & op(e3, e1) = e3
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7846) implies:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7847) all_57_4 = e3
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7848) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 =
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7848) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7849) all_57_12 = e3 & op(e0, e3) = e3
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (219),
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (374), (7831), (7844), (7847),
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7849), (function-axioms) are inconsistent by
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1873.
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7850) all_57_13 = e3 & op(e0, e2) = e3
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7850) implies:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7851) all_57_13 = e3
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7852) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7852) gives:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7853) all_57_4 = e0 & op(e3, e1) = e0
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7853) implies:
% 222.79/37.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7854) all_57_4 = e0
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7847), (7854) imply:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7855) e3 = e0
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7851), (7855) imply:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7856) all_57_13 = e0
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (210), (218),
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (374), (7795), (7831),
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7844), (7847), (7856), (function-axioms) are
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1871.
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7857) all_57_5 = e0 & op(e2, e1) = e0
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7804), (7857) are inconsistent by sub-proof
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #942.
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7858) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (39), (7609), (7844), (7858),
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2411.
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7859) (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 =
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7859) gives:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7860) all_57_14 = e3 & op(e0, e1) = e3
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7860) implies:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7861) all_57_14 = e3
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7844), (7861) imply:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7862) e3 = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7862) implies:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7863) e3 = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7847), (7863) imply:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7864) all_57_4 = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (219),
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (374), (7844), (7864),
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2370.
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7865) all_57_15 = e3 & op(e0, e0) = e3
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7865) implies:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7866) all_57_15 = e3
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7867) op(e0, e0) = e3
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (207),
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (211), (212), (214), (215), (217), (222),
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (234), (374), (7575), (7582),
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7606), (7607), (7609), (7822), (7844), (7866),
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7867), (function-axioms) are inconsistent by
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #333.
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7868) all_57_5 = e3 & op(e2, e1) = e3
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7868) implies:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7869) all_57_5 = e3
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (207),
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (218), (219), (7599), (7609),
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7795), (7822), (7844), (7869), (function-axioms)
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2174.
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7870) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (374), (7844), (7870),
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1890.
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7871) all_57_15 = e2 & op(e0, e0) = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7871) implies:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7872) op(e0, e0) = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7795), (7872), (function-axioms) are
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2177.
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | (7873) all_55_10 = e1 | all_55_10 = e0
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (7609), (7809), (7873) are inconsistent by
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1685.
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | (7874) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7874) implies:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | (7875) op(e2, e1) = all_52_13
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | (7876) op(all_52_13, all_52_13) = e1
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | (7877) all_55_10 = e3
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (374), (7877) are inconsistent by sub-proof
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | #2500.
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | (7878) ~ (all_55_10 = e3)
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | (7879) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7879) gives:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | (7880) all_55_10 = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (7880) imply:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | (7881) all_6_2 = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7881) implies:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | (7882) all_6_2 = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (7882) imply:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | (7883) op(e1, e1) = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | (7884) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7884) gives:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (7885) all_57_9 = e2 & op(e3, e0) = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7885) implies:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (7886) op(e3, e0) = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_13, e1, e2, simplifying with (7805), (7875)
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (7887) all_52_13 = e1
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_12,
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e3, simplifying with (169), (7886) gives:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (7888) all_53_12 = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7876), (7887) imply:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (7889) op(e1, e1) = e1
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7883), (7889), (function-axioms) are
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2423.
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (7890) all_57_10 = e2 & op(e2, e0) = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (7601), (7890), (function-axioms) are
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2432.
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | (7891) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7891) gives:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (7892) all_57_11 = e2 & op(e1, e0) = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7892) implies:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (7893) all_57_11 = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (214), (217),
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (7609), (7799), (7893), (function-axioms)
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #348.
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (7894) all_57_15 = e2 & op(e0, e0) = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7894) implies:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (7895) op(e0, e0) = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7795), (7895), (function-axioms) are
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2177.
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | (7896) all_55_10 = e1 | all_55_10 = e0
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (7609), (7809), (7896) are inconsistent by
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1685.
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | (7897) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7897) gives:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | (7898) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7898) implies:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | (7899) op(e1, e0) = all_52_23
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | (7900) op(e1, e1) = all_52_21
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | (7901) op(e1, e2) = all_52_19
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | (7902) op(e1, e3) = all_52_17
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | (7903) op(all_52_23, all_52_23) = e0
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | (7904) op(all_52_21, all_52_21) = e1
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | (7905) op(all_52_19, all_52_19) = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | (7906) op(all_52_17, all_52_17) = e3
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | (7907) all_55_10 = e3
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (374), (7907) are inconsistent by sub-proof
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | #2500.
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | (7908) ~ (all_55_10 = e3)
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | (7909) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7909) gives:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | (7910) all_55_10 = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (7910) imply:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | (7911) all_6_2 = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7911) implies:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | (7912) all_6_2 = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (7912) imply:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | (7913) op(e1, e1) = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | (7914) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_2 = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (168), (7582), (7596), (7914),
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | #355.
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | (7915) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_12 =
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7915) gives:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (7916) all_57_6 = e2 & op(e1, e3) = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7916) implies:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (7917) all_57_6 = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7918) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (7799), (7917), (7918) are inconsistent
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1246.
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7919) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7919) gives:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7920) all_57_8 = e3 & op(e1, e1) = e3
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7920) implies:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7921) op(e1, e1) = e3
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (7921), (function-axioms) are
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7922) all_57_11 = e3 & op(e1, e0) = e3
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7922) implies:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7923) all_57_11 = e3
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7924) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7924) gives:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7925) all_57_6 = e0 & op(e1, e3) = e0
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7917), (7925) are inconsistent by sub-proof
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2386.
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7926) all_57_7 = e0 & op(e1, e2) = e0
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7926) implies:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7927) all_57_7 = e0
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7799), (7927) imply:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7928) e1 = e0
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7928) implies:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7929) e1 = e0
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7581), (7929) imply:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7930) all_57_0 = e0
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (39), (160), (168), (195), (232), (336),
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (7573), (7575), (7902), (7906), (7930),
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1545.
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7931) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7931) gives:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7932) all_57_8 = e0 & op(e1, e1) = e0
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7932) implies:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7933) op(e1, e1) = e0
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (163), (7800), (7900), (7901), (7905),
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7933), (function-axioms) are inconsistent by
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #332.
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7934) all_57_11 = e0 & op(e1, e0) = e0
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7934) implies:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7935) all_57_11 = e0
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7923), (7935) are inconsistent by sub-proof
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1595.
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (7936) all_57_12 = e2 & op(e0, e3) = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7936) implies:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (7937) all_57_12 = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7938) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (171), (7582), (7597), (7938),
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | #331.
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7939) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7939) gives:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7940) all_57_4 = e2 & op(e3, e1) = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7940) implies:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7941) all_57_4 = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7942) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7942) gives:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7943) all_57_9 = e2 & op(e3, e0) = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7943) implies:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7944) all_57_9 = e2
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7945) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_1 = e3
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7945) gives:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7946) all_57_0 = e3 & op(e3, e3) = e3
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7946) implies:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7947) op(e3, e3) = e3
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7582), (7947), (function-axioms) are
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7948) all_57_1 = e3 & op(e3, e2) = e3
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7948) implies:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7949) all_57_1 = e3
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7950) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7950) gives:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7951) all_57_4 = e3 & op(e3, e1) = e3
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7951) implies:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7952) all_57_4 = e3
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (231), (235), (7581),
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7949), (7952) are inconsistent by sub-proof
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1808.
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7953) all_57_5 = e3 & op(e2, e1) = e3
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7804), (7953) are inconsistent by sub-proof
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #386.
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7954) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7954) gives:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7955) all_57_8 = e3 & op(e1, e1) = e3
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7955) implies:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7956) op(e1, e1) = e3
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (7956), (function-axioms) are
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7957) all_57_14 = e3 & op(e0, e1) = e3
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7957) implies:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7958) all_57_14 = e3
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7959) all_57_15 = e0 & op(e0, e0) = e0
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7959) implies:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7960) op(e0, e0) = e0
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7795), (7960), (function-axioms) are
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2290.
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.79/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7961) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7961) implies:
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7962) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7962) gives:
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7963) all_57_12 = e0 & op(e0, e3) = e0
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7937), (7963) are inconsistent by sub-proof
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2185.
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7964) (all_57_13 = e0 & op(e0, e2) = e0) | (all_57_14 =
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7964) gives:
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7965) all_57_13 = e0 & op(e0, e2) = e0
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7965) implies:
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7966) all_57_13 = e0
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7967) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7967) gives:
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7968) all_57_0 = e0 & op(e3, e3) = e0
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7968) implies:
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7969) all_57_0 = e0
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (233), (7941), (7944), (7949),
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7969) are inconsistent by sub-proof #2450.
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7970) all_57_1 = e0 & op(e3, e2) = e0
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7949), (7970) are inconsistent by sub-proof
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1811.
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7971) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7971) gives:
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7972) all_57_4 = e0 & op(e3, e1) = e0
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7972) implies:
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7973) all_57_4 = e0
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7941), (7973) imply:
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7974) e2 = e0
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7606), (7974) imply:
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7975) all_57_3 = e0
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (227), (228), (7949),
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7966), (7975) are inconsistent by sub-proof
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1758.
% 222.94/37.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7976) all_57_9 = e0 & op(e3, e0) = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7976) implies:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7977) all_57_9 = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7944), (7977) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7978) e2 = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7606), (7978) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7979) all_57_3 = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (227), (228), (7949),
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7966), (7979) are inconsistent by sub-proof
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1758.
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7980) all_57_14 = e0 & op(e0, e1) = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7980) implies:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7981) all_57_14 = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7958), (7981) are inconsistent by sub-proof
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2420.
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7982) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_9 = e3
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7982) gives:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7983) all_57_4 = e3 & op(e3, e1) = e3
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7941), (7983) are inconsistent by sub-proof
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #877.
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7984) all_57_9 = e3 & op(e3, e0) = e3
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (165), (212), (7601), (7607),
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7795), (7899), (7903), (7984), (function-axioms)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1901.
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7985) all_57_10 = e2 & op(e2, e0) = e2
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (7601), (7985), (function-axioms) are
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2432.
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7986) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7607), (7795), (7899), (7903), (7986),
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1902.
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7987) all_57_9 = e2 & op(e3, e0) = e2
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7987) implies:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7988) op(e3, e0) = e2
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (7578), (7607), (7900), (7904), (7913),
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7988), (function-axioms) are inconsistent by
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1874.
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | (7989) all_55_10 = e1 | all_55_10 = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (7609), (7809), (7989) are inconsistent by
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1685.
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | (7990) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7990) implies:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | (7991) op(e0, e0) = all_52_31
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | (7992) op(all_52_31, all_52_31) = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (7609), (7795), (7991), (7992),
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | #2086.
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | (7993) all_57_10 = e1 & op(e2, e0) = e1
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (7792), (7993), (function-axioms) are
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2084.
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.86 | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.86 | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.86 | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | (7994) all_57_13 = e1 & op(e0, e2) = e1
% 222.94/37.86 | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (7791), (7994), (function-axioms) are
% 222.94/37.86 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #330.
% 222.94/37.86 | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | End of split
% 222.94/37.86 | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | End of split
% 222.94/37.86 | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | End of split
% 222.94/37.86 | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | Case 2:
% 222.94/37.86 | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | (7995) all_24_2 = e0
% 222.94/37.86 | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | COMBINE_EQS: (315), (7995) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | (7996) all_6_2 = e0
% 222.94/37.86 | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | COMBINE_EQS: (311), (7996) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | (7997) all_34_2 = e0
% 222.94/37.86 | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | REDUCE: (350), (7996) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | (7998) ~ (all_53_2 = e0)
% 222.94/37.86 | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | REDUCE: (361), (7996) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | (7999) ~ (all_53_6 = e0)
% 222.94/37.86 | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | REDUCE: (363), (7996) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | (8000) ~ (all_53_8 = e0)
% 222.94/37.86 | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | REDUCE: (364), (7996) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | (8001) ~ (all_53_9 = e0)
% 222.94/37.86 | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | REDUCE: (366), (7996) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | (8002) ~ (all_53_11 = e0)
% 222.94/37.86 | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | REDUCE: (368), (7996) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | (8003) ~ (all_53_14 = e0)
% 222.94/37.86 | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | REDUCE: (374), (7996) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | (8004) ~ (e3 = e0)
% 222.94/37.86 | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 222.94/37.86 | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | Case 1:
% 222.94/37.86 | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | (8005) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 222.94/37.86 | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | REF_CLOSE: (163), (164), (7998), (7999), (8005),
% 222.94/37.86 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.94/37.86 | | | | | | | | | | | | | | | | #2038.
% 222.94/37.86 | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | Case 2:
% 222.94/37.86 | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | (8006) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 222.94/37.86 | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 222.94/37.86 | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | BETA: splitting (8006) gives:
% 222.94/37.86 | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.86 | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | (8007) all_57_8 = e0 & op(e1, e1) = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | ALPHA: (8007) implies:
% 222.94/37.86 | | | | | | | | | | | | | | | | | (8008) all_57_8 = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | (8009) op(e1, e1) = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 222.94/37.86 | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.86 | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | (8010) ~ (all_30_2 = e1)
% 222.94/37.86 | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | REDUCE: (330), (8010) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | (8011) ~ (all_4_2 = e1)
% 222.94/37.86 | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 222.94/37.86 | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | (8012) all_55_15 = e3
% 222.94/37.86 | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (7584), (8012) are inconsistent by
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | sub-proof #2503.
% 222.94/37.86 | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | (8013) ~ (all_55_15 = e3)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | (8014) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | BETA: splitting (8014) gives:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | (8015) all_55_15 = e2
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (8015) are inconsistent by sub-proof
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | #2502.
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | (8016) ~ (all_55_15 = e2)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | (8017) all_55_15 = e1 | all_55_15 = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8017) gives:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | (8018) all_55_15 = e1
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (8011), (8018) are inconsistent by
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | sub-proof #2501.
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | (8019) all_55_15 = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (8019) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | (8020) all_4_2 = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | SIMP: (8020) implies:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | (8021) all_4_2 = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (8021) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | (8022) ~ (all_53_3 = e0)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (8021) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | (8023) ~ (all_53_7 = e0)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (8021) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | (8024) ~ (e2 = e0)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | REDUCE: (8011), (8021) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | (8025) ~ (e1 = e0)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (8021) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | (8026) op(e0, e0) = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | (8027) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8027) gives:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | (8028) all_57_0 = e0 & op(e3, e3) = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7581), (8028) are inconsistent by sub-proof
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | #1812.
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | (8029) all_57_2 = e0 & op(e2, e3) = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8029) implies:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | (8030) all_57_2 = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | (8031) op(e2, e3) = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | (8032) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8032) gives:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | (8033) all_57_1 = e0 & op(e3, e2) = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8033) implies:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | (8034) op(e3, e2) = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_1, e0,
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (168), (8031) gives:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | (8035) all_53_1 = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_4, e0,
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (171), (8034) gives:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | (8036) all_53_4 = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (8035) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | (8037) ~ (all_53_9 = e0)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (8035) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | (8038) ~ (all_53_13 = e0)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8038) implies:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | (8039) ~ (all_53_13 = e0)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (8036) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | (8040) ~ (all_53_12 = e0)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8040) implies:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | (8041) ~ (all_53_12 = e0)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (8042) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8026), (8031), (8034), (8042),
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | #2037.
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (8043) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8043) gives:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8044) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8044) implies:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8045) op(e1, e1) = all_52_21
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8046) op(all_52_21, all_52_21) = e1
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (165), (169), (171), (207), (7576), (8003),
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8009), (8033), (8039), (8041), (8045), (8046),
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1842.
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8047) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8047) implies:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8048) op(e0, e1) = all_52_29
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8049) op(all_52_29, all_52_29) = e1
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_11,
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29, e1, e0, simplifying with (158), (8048)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8050) all_53_11 = all_52_29
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (8050) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8051) all_55_14 = all_52_29
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (8050) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8052) ~ (all_53_8 = all_52_29)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (8050) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8053) ~ (all_53_9 = all_52_29)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8002), (8050) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8054) ~ (all_52_29 = e0)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8055) ~ (all_34_2 = e0)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7997), (8055) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8056) $false
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8056) is inconsistent.
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8057) ( ~ (all_34_0 = e3) & op(all_34_1, e1) = all_34_0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_34_1 & $i(all_34_0) &
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)) | ( ~ (all_34_1 = e2) & op(e1, e0)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_34_1 & $i(all_34_1))
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8058) all_55_2 = e3
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (8058) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8059) all_53_8 = e3
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8059) implies:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8060) all_53_8 = e3
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (124), (8060) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8061) ~ (all_53_9 = e3)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8061) implies:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8062) ~ (all_53_9 = e3)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8052), (8060) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8063) ~ (all_52_29 = e3)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8063) implies:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8064) ~ (all_52_29 = e3)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8065) all_55_6 = e3
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (8062), (8065) are inconsistent by
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2498.
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8066) all_55_6 = e2 | all_55_6 = e1 | all_55_6 = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8066) gives:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8067) all_55_6 = e2
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (7600), (8067) are inconsistent by
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2398.
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8068) all_55_6 = e1 | all_55_6 = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8068) gives:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8069) all_55_6 = e1
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (8069) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8070) all_53_9 = e1
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8070) implies:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8071) all_53_9 = e1
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8053), (8071) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8072) ~ (all_52_29 = e1)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8072) implies:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8073) ~ (all_52_29 = e1)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (191), (7607), (8049), (8051), (8054), (8064),
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8073), (function-axioms) are inconsistent by
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2025.
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8074) all_55_6 = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (8001), (8074) are inconsistent by
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2162.
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8075) all_55_2 = e2 | all_55_2 = e1 | all_55_2 = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8075) gives:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8076) all_55_2 = e2
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (8076) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8077) all_53_8 = e2
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8077) implies:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8078) all_53_8 = e2
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (124), (8078) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8079) ~ (all_53_9 = e2)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (8078) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8080) ~ (all_53_12 = e2)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8080) implies:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8081) ~ (all_53_12 = e2)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8082) all_55_3 = e3
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (8082) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8083) all_53_12 = e3
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (8083) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8084) ~ (all_53_13 = e3)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8084) implies:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8085) ~ (all_53_13 = e3)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8086) all_55_7 = e3
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (8085), (8086) are inconsistent by
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2109.
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8087) all_55_7 = e2 | all_55_7 = e1 | all_55_7 = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8087) gives:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8088) all_55_7 = e2
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (7601), (8088) are inconsistent by
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2171.
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8089) ~ (all_55_7 = e2)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8090) all_55_7 = e1 | all_55_7 = e0
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8091) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (7601), (8081), (8091),
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1952.
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8092) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8092) gives:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8093) all_57_11 = e2 & op(e1, e0) = e2
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8093) implies:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8094) op(e1, e0) = e2
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8090) gives:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8095) all_55_7 = e1
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (8095) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8096) all_53_13 = e1
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8096) implies:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8097) all_53_13 = e1
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (8097) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8098) ~ (all_53_9 = e1)
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8099) all_55_6 = e3
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (8099) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8100) all_53_9 = e3
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8100) implies:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8101) all_53_9 = e3
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (166), (8101) imply:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8102) op(e2, e1) = e3
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8057), (8094), (8102), (function-axioms) are
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1173.
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8103) all_55_6 = e2 | all_55_6 = e1 | all_55_6 = e0
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (7600), (8001), (8098), (8103) are
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2160.
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8104) all_55_7 = e0
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (8039), (8104) are inconsistent by
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2130.
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8105) all_57_15 = e2 & op(e0, e0) = e2
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8105) implies:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8106) op(e0, e0) = e2
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (8106), (function-axioms) are
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2334.
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8107) all_55_3 = e2 | all_55_3 = e1 | all_55_3 = e0
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (7578), (8041), (8081), (8107) are
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1546.
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8108) all_55_2 = e1 | all_55_2 = e0
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8108) gives:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8109) all_55_2 = e1
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (7577), (8109) are inconsistent by
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2032.
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8110) all_55_2 = e0
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (8110) imply:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8111) all_53_8 = e0
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8111) implies:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8112) all_53_8 = e0
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (8112) imply:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8113) ~ (all_53_4 = e0)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (171), (8034), (8113), (function-axioms) are
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1941.
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | (8114) all_57_3 = e0 & op(e2, e2) = e0
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8114) implies:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | (8115) all_57_3 = e0
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | (8030), (8115) are inconsistent by sub-proof
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | #2246.
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | (8116) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (7999), (8023), (8116),
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | #2024.
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | (8117) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (7998), (8022), (8117),
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | #1859.
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.87 | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.87 | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.87 | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | (8118) all_30_2 = e1
% 222.94/37.87 | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (8118) imply:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | (8119) all_4_2 = e1
% 222.94/37.87 | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | SIMP: (8119) implies:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | (8120) all_4_2 = e1
% 222.94/37.87 | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | REDUCE: (362), (8120) imply:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | (8121) ~ (all_53_7 = e1)
% 222.94/37.87 | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | REDUCE: (371), (8120) imply:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | (8122) ~ (all_53_13 = e1)
% 222.94/37.87 | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | REDUCE: (373), (8120) imply:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | (8123) ~ (e2 = e1)
% 222.94/37.87 | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | REDUCE: (36), (8120) imply:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | (8124) op(e0, e0) = e1
% 222.94/37.87 | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 222.94/37.87 | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | (8125) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (171), (7576), (7607), (8125),
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | #362.
% 222.94/37.87 | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | (8126) (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_13 =
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | BETA: splitting (8126) gives:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | (8127) all_57_7 = e1 & op(e1, e2) = e1
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | ALPHA: (8127) implies:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | (8128) all_57_7 = e1
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | (8129) op(e1, e2) = e1
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | (8130) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (168), (7573), (7607), (8130),
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | #361.
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | (8131) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8131) gives:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | (8132) all_57_5 = e1 & op(e2, e1) = e1
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8132) implies:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | (8133) all_57_5 = e1
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | (8134) op(e2, e1) = e1
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_6, e1,
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (163), (8129) gives:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | (8135) all_53_6 = e1
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_9, e1,
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (166), (8134) gives:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | (8136) all_53_9 = e1
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (8135) imply:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | (8137) ~ (all_53_7 = e1)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (8136) imply:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | (8138) ~ (all_53_11 = e1)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | SIMP: (8138) implies:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | (8139) ~ (all_53_11 = e1)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (8136) imply:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | (8140) ~ (all_53_13 = e1)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | (8141) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (39), (374), (7582), (8009), (8134), (8141),
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | #329.
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | (8142) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8142) gives:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | (8143) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8143) implies:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | (8144) op(e1, e1) = all_52_21
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | (8145) op(e1, e2) = all_52_19
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | (8146) op(all_52_19, all_52_19) = e2
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (163), (8009), (8129), (8144), (8145),
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | (8146), (function-axioms) are inconsistent by
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #332.
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | (8147) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8147) implies:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | (8148) op(e0, e0) = all_52_31
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | (8149) op(e0, e1) = all_52_29
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | (8150) op(e0, e2) = all_52_27
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | (8151) op(e0, e3) = all_52_25
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | (8152) op(all_52_29, all_52_29) = e1
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | (8153) op(all_52_27, all_52_27) = e2
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | (8154) op(all_52_25, all_52_25) = e3
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | all_52_31, e0, e0, simplifying with (8124), (8148)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | (8155) all_52_31 = e1
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_11,
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | all_52_29, e1, e0, simplifying with (158), (8149)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | (8156) all_53_11 = all_52_29
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_7,
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | all_52_27, e2, e0, simplifying with (159), (8150)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | (8157) all_53_7 = all_52_27
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_3,
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | all_52_25, e3, e0, simplifying with (160), (8151)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | (8158) all_53_3 = all_52_25
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (8156) imply:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | (8159) all_55_14 = all_52_29
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (8157) imply:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | (8160) all_55_13 = all_52_27
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (8158) imply:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | (8161) all_55_12 = all_52_25
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (8158) imply:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | (8162) ~ (all_53_1 = all_52_25)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (8156), (8158) imply:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | (8163) ~ (all_52_25 = all_52_29)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7575), (8158) imply:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | (8164) ~ (all_52_25 = e1)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (8156) imply:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | (8165) ~ (all_53_8 = all_52_29)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8139), (8156) imply:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | (8166) ~ (all_52_29 = e1)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8002), (8156) imply:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | (8167) ~ (all_52_29 = e0)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | (8168) all_55_1 = e3
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (8168) imply:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | (8169) all_53_4 = e3
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8169) implies:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | (8170) all_53_4 = e3
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (8170) imply:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | (8171) ~ (all_53_8 = e3)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8171) implies:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | (8172) ~ (all_53_8 = e3)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (8170) imply:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | (8173) ~ (all_53_12 = e3)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8173) implies:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | (8174) ~ (all_53_12 = e3)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (8175) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8175) gives:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8176) all_57_4 = e3 & op(e3, e1) = e3
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8176) implies:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8177) all_57_4 = e3
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8178) all_55_2 = e3
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (8172), (8178) are inconsistent by
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2028.
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8179) ~ (all_55_2 = e3)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8180) all_55_2 = e2 | all_55_2 = e1 | all_55_2 = e0
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8180) gives:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8181) all_55_2 = e2
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (8181) imply:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8182) all_53_8 = e2
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8182) implies:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8183) all_53_8 = e2
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (8183) imply:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8184) ~ (all_53_12 = e2)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8184) implies:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8185) ~ (all_53_12 = e2)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8165), (8183) imply:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8186) ~ (all_52_29 = e2)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8186) implies:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8187) ~ (all_52_29 = e2)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8188) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8188) gives:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8189) all_57_0 = e2 & op(e3, e3) = e2
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8189) implies:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8190) op(e3, e3) = e2
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (191), (8152), (8159), (8166), (8167),
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8187), (8190), (function-axioms) are inconsistent
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1565.
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8191) all_57_1 = e2 & op(e3, e2) = e2
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (171), (7597), (8191), (function-axioms) are
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2456.
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8192) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (169), (8177), (8185), (8192),
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1208.
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8193) all_55_2 = e1 | all_55_2 = e0
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (7577), (8000), (8193) are inconsistent by
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2030.
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8194) all_57_5 = e3 & op(e2, e1) = e3
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8133), (8194) are inconsistent by sub-proof
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | #386.
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (8195) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8195) gives:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8196) all_57_8 = e3 & op(e1, e1) = e3
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8196) implies:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8197) op(e1, e1) = e3
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (8197), (function-axioms) are
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8198) all_57_14 = e3 & op(e0, e1) = e3
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8198) implies:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8199) all_57_14 = e3
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8200) op(e0, e1) = e3
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8201) all_55_2 = e3
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (8172), (8201) are inconsistent by
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2028.
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8202) ~ (all_55_2 = e3)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8203) all_55_2 = e2 | all_55_2 = e1 | all_55_2 = e0
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8204) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8204) gives:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8205) all_57_12 = e2 & op(e0, e3) = e2
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8205) implies:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8206) all_57_12 = e2
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8207) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8207) gives:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8208) all_57_0 = e0 & op(e3, e3) = e0
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8208) implies:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8209) op(e3, e3) = e0
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8149), (8152), (8200), (8209),
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1934.
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8210) all_57_1 = e0 & op(e3, e2) = e0
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8210) implies:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8211) op(e3, e2) = e0
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (136), (171), (192), (246), (7582), (7599),
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8121), (8153), (8160), (8211), (function-axioms)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #326.
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8212) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8212) gives:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8213) all_57_4 = e0 & op(e3, e1) = e0
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8213) implies:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8214) op(e3, e1) = e0
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (8000), (8214), (function-axioms) are
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8215) all_57_9 = e0 & op(e3, e0) = e0
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8215) implies:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8216) all_57_9 = e0
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8217) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8217) gives:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8218) all_57_0 = e0 & op(e3, e3) = e0
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8218) implies:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8219) op(e3, e3) = e0
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8149), (8152), (8200), (8219),
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1934.
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8220) all_57_2 = e0 & op(e2, e3) = e0
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8220) implies:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8221) all_57_2 = e0
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8222) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (171), (7582), (7597), (8222),
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #331.
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8223) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8223) gives:
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8224) all_57_4 = e2 & op(e3, e1) = e2
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8224) implies:
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8225) all_57_4 = e2
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8226) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_2 = e3
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8226) gives:
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8227) all_57_0 = e3 & op(e3, e3) = e3
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8227) implies:
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8228) op(e3, e3) = e3
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (191), (203), (269), (7577), (8000), (8152),
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8159), (8165), (8166), (8167), (8172), (8228),
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2029.
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8229) all_57_2 = e3 & op(e2, e3) = e3
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8229) implies:
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8230) all_57_2 = e3
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8221), (8230) are inconsistent by sub-proof
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2258.
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8231) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_12 =
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8231) gives:
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8232) all_57_6 = e3 & op(e1, e3) = e3
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8232) implies:
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8233) all_57_6 = e3
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8234) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (7607), (8221), (8234),
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #831.
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8235) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8235) gives:
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8236) all_57_5 = e3 & op(e2, e1) = e3
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8236) implies:
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8237) all_57_5 = e3
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8133), (8237) imply:
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8238) e3 = e1
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8238) implies:
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8239) e3 = e1
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8233), (8239) imply:
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8240) all_57_6 = e1
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (39), (216), (217), (374),
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8008), (8128), (8240), (function-axioms) are
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #325.
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8241) all_57_10 = e3 & op(e2, e0) = e3
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8241) implies:
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8242) op(e2, e0) = e3
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8203) gives:
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.94/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8243) all_55_2 = e2
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (8243) imply:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8244) all_53_8 = e2
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8244) implies:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8245) all_53_8 = e2
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (8245) imply:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8246) ~ (all_53_12 = e2)
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8246) implies:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8247) ~ (all_53_12 = e2)
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8248) all_55_14 = e3
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8159), (8248) imply:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8249) all_52_29 = e3
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8163), (8249) imply:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8250) ~ (all_52_25 = e3)
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8251) all_55_3 = e3
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (8174), (8251) are inconsistent by
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2169.
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8252) all_55_3 = e2 | all_55_3 = e1 | all_55_3 = e0
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8252) gives:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8253) all_55_3 = e2
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (8247), (8253) are inconsistent by
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1612.
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8254) all_55_3 = e1 | all_55_3 = e0
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8254) gives:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8255) all_55_3 = e1
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (7578), (8255) are inconsistent by
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #324.
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8256) all_55_3 = e0
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (8256) imply:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8257) all_53_12 = e0
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8257) implies:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8258) all_53_12 = e0
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (8258) imply:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8259) ~ (all_53_13 = e0)
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8259) implies:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8260) ~ (all_53_13 = e0)
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8261) all_55_7 = e3
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (8261) imply:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8262) all_53_13 = e3
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8262) implies:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8263) all_53_13 = e3
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (8263) imply:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8264) ~ (all_53_1 = e3)
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8265) all_55_4 = e3
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (8264), (8265) are inconsistent by
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2170.
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8266) all_55_4 = e2 | all_55_4 = e1 | all_55_4 = e0
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8266) gives:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8267) all_55_4 = e2
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (7596), (8267) are inconsistent by
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2168.
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8268) all_55_4 = e1 | all_55_4 = e0
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8268) gives:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8269) all_55_4 = e1
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (7573), (8269) are inconsistent by
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2166.
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8270) all_55_4 = e0
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (8270) imply:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8271) all_53_1 = e0
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8271) implies:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8272) all_53_1 = e0
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8162), (8272) imply:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8273) ~ (all_52_25 = e0)
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8273) implies:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8274) ~ (all_52_25 = e0)
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (193), (7607), (8154), (8161), (8164), (8250),
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8274), (function-axioms) are inconsistent by
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #322.
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8275) all_55_7 = e2 | all_55_7 = e1 | all_55_7 = e0
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (7601), (8122), (8260), (8275) are
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #321.
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8276) all_55_14 = e2 | all_55_14 = e1 | all_55_14 = e0
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7607), (8152), (8159), (8166), (8167), (8276),
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2026.
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8277) all_55_2 = e1 | all_55_2 = e0
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8277) gives:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8278) all_55_2 = e1
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (8278) imply:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8279) all_53_8 = e1
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8279) implies:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8280) all_53_8 = e1
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (124), (8280) imply:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8281) ~ (all_53_9 = e1)
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8281) implies:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8282) ~ (all_53_9 = e1)
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8283) all_55_6 = e3
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (8283) imply:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8284) all_53_9 = e3
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8284) implies:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8285) all_53_9 = e3
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (8285) imply:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8286) ~ (all_53_13 = e3)
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8286) implies:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8287) ~ (all_53_13 = e3)
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8242), (8287), (function-axioms) are
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2301.
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8288) all_55_6 = e2 | all_55_6 = e1 | all_55_6 = e0
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8288) gives:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8289) all_55_6 = e2
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (7600), (8289) are inconsistent by
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2398.
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8290) all_55_6 = e1 | all_55_6 = e0
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (8001), (8282), (8290) are inconsistent by
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2161.
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8291) all_55_2 = e0
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (8000), (8291) are inconsistent by
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2031.
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8292) all_57_12 = e3 & op(e0, e3) = e3
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8292) implies:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8293) all_57_12 = e3
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8206), (8293) imply:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8294) e3 = e2
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8294) implies:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8295) e3 = e2
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8199), (8295) imply:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8296) all_57_14 = e2
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (219),
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (374), (8225), (8296),
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2370.
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8297) all_57_9 = e2 & op(e3, e0) = e2
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8297) implies:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8298) all_57_9 = e2
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8216), (8298) imply:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8299) e2 = e0
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7606), (8299) imply:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8300) all_57_3 = e0
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8221), (8300) are inconsistent by sub-proof
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2246.
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8301) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8301) gives:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8302) all_57_6 = e0 & op(e1, e3) = e0
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8302) implies:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8303) op(e1, e3) = e0
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7998), (8303), (function-axioms) are
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2154.
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8304) all_57_12 = e0 & op(e0, e3) = e0
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8304) implies:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8305) op(e0, e3) = e0
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (211), (212),
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (8122), (8124), (8148), (8151), (8154),
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8216), (8305), (function-axioms) are inconsistent
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1303.
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8306) all_57_13 = e2 & op(e0, e2) = e2
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8306) implies:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8307) op(e0, e2) = e2
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (7599), (8307), (function-axioms) are
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2335.
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8308) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (8124), (8199), (8308),
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2087.
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | (8309) all_55_1 = e2 | all_55_1 = e1 | all_55_1 = e0
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8309) gives:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (8310) all_55_1 = e2
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (7597), (8310) are inconsistent by
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2284.
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (8311) all_55_1 = e1 | all_55_1 = e0
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8311) gives:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8312) all_55_1 = e1
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (8312) imply:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8313) all_53_4 = e1
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7576), (8313) imply:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8314) $false
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8314) is inconsistent.
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8315) all_55_1 = e0
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (8315) imply:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8316) all_53_4 = e0
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (8316) imply:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8317) op(e3, e2) = e0
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (136), (171), (192), (246), (7582), (7599),
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8121), (8153), (8160), (8317), (function-axioms)
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #326.
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | (8318) all_57_10 = e1 & op(e2, e0) = e1
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8122), (8318), (function-axioms) are
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2084.
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | (8319) all_57_13 = e1 & op(e0, e2) = e1
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (8121), (8319), (function-axioms) are
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #330.
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | (8320) all_57_11 = e0 & op(e1, e0) = e0
% 222.99/37.88 | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (8003), (8320), (function-axioms) are
% 222.99/37.88 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2341.
% 222.99/37.88 | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | (8321) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 222.99/37.88 | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 222.99/37.88 | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | BETA: splitting (8321) gives:
% 222.99/37.88 | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | Case 1:
% 222.99/37.88 | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | (8322) all_57_5 = e2 & op(e2, e1) = e2
% 222.99/37.88 | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | REF_CLOSE: (166), (7600), (8322), (function-axioms) are
% 222.99/37.88 | | | | | | | | | | | | | | inconsistent by sub-proof #1858.
% 222.99/37.88 | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | (8323) all_57_10 = e2 & op(e2, e0) = e2
% 222.99/37.88 | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | REF_CLOSE: (165), (7601), (8323), (function-axioms) are
% 222.99/37.88 | | | | | | | | | | | | | | inconsistent by sub-proof #2432.
% 222.99/37.88 | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | (8324) all_55_5 = e1 | all_55_5 = e0
% 222.99/37.88 | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | REF_CLOSE: (266), (7586), (7588), (8324) are inconsistent by
% 222.99/37.88 | | | | | | | | | | | | sub-proof #1857.
% 222.99/37.88 | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | (8325) all_16_2 = e1
% 222.99/37.88 | | | | | | | | | | (8326) ( ~ (all_16_0 = e0) & op(all_16_1, e2) = all_16_0
% 222.99/37.88 | | | | | | | | | | & op(e2, e1) = all_16_1 & $i(all_16_0) &
% 222.99/37.88 | | | | | | | | | | $i(all_16_1)) | ( ~ (all_16_1 = e3) & op(e2, e1)
% 222.99/37.88 | | | | | | | | | | = all_16_1 & $i(all_16_1))
% 222.99/37.88 | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | COMBINE_EQS: (324), (8325) imply:
% 222.99/37.88 | | | | | | | | | | (8327) all_8_2 = e1
% 222.99/37.88 | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | COMBINE_EQS: (305), (8327) imply:
% 222.99/37.88 | | | | | | | | | | (8328) all_26_2 = e1
% 222.99/37.88 | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | REDUCE: (354), (8327) imply:
% 222.99/37.88 | | | | | | | | | | (8329) ~ (all_53_6 = e1)
% 222.99/37.88 | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | REDUCE: (356), (8327) imply:
% 222.99/37.88 | | | | | | | | | | (8330) ~ (all_53_7 = e1)
% 222.99/37.88 | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | REDUCE: (358), (8327) imply:
% 222.99/37.88 | | | | | | | | | | (8331) ~ (all_53_9 = e1)
% 222.99/37.88 | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | REDUCE: (360), (8327) imply:
% 222.99/37.88 | | | | | | | | | | (8332) ~ (all_53_13 = e1)
% 222.99/37.88 | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | REDUCE: (375), (8327) imply:
% 222.99/37.88 | | | | | | | | | | (8333) ~ (e3 = e1)
% 222.99/37.88 | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | REDUCE: (42), (8327) imply:
% 222.99/37.88 | | | | | | | | | | (8334) op(e2, e2) = e1
% 222.99/37.88 | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | BETA: splitting (70) gives:
% 222.99/37.88 | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | Case 1:
% 222.99/37.88 | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | (8335) ~ (all_26_2 = e1)
% 222.99/37.88 | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | REDUCE: (8328), (8335) imply:
% 222.99/37.88 | | | | | | | | | | | (8336) $false
% 222.99/37.88 | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | CLOSE: (8336) is inconsistent.
% 222.99/37.88 | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | (8337) ( ~ (all_26_0 = e3) & op(all_26_1, e2) = all_26_0
% 222.99/37.88 | | | | | | | | | | | & op(e2, e1) = all_26_1 & $i(all_26_0) &
% 222.99/37.88 | | | | | | | | | | | $i(all_26_1)) | ( ~ (all_26_1 = e0) & op(e2, e1)
% 222.99/37.88 | | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 222.99/37.88 | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | BETA: splitting (67) gives:
% 222.99/37.88 | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | Case 1:
% 222.99/37.88 | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | (8338) ~ (all_24_2 = e0)
% 222.99/37.88 | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | REDUCE: (315), (8338) imply:
% 222.99/37.88 | | | | | | | | | | | | (8339) ~ (all_6_2 = e0)
% 222.99/37.88 | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | BETA: splitting (76) gives:
% 222.99/37.88 | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | Case 1:
% 222.99/37.88 | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | (8340) ~ (all_30_2 = e1)
% 222.99/37.88 | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | REDUCE: (330), (8340) imply:
% 222.99/37.88 | | | | | | | | | | | | | (8341) ~ (all_4_2 = e1)
% 222.99/37.88 | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | BETA: splitting (211) gives:
% 222.99/37.88 | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | Case 1:
% 222.99/37.88 | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | (8342) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 =
% 222.99/37.88 | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 222.99/37.88 | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | BETA: splitting (8342) gives:
% 222.99/37.88 | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | Case 1:
% 222.99/37.88 | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | (8343) all_57_9 = e1 & op(e3, e0) = e1
% 222.99/37.88 | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | REF_CLOSE: (169), (7578), (8343), (function-axioms) are
% 222.99/37.88 | | | | | | | | | | | | | | | inconsistent by sub-proof #2131.
% 222.99/37.88 | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | (8344) all_57_10 = e1 & op(e2, e0) = e1
% 222.99/37.88 | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | REF_CLOSE: (165), (8332), (8344), (function-axioms) are
% 222.99/37.88 | | | | | | | | | | | | | | | inconsistent by sub-proof #2084.
% 222.99/37.88 | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | (8345) (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 =
% 222.99/37.88 | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 222.99/37.88 | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | BETA: splitting (8345) gives:
% 222.99/37.88 | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | Case 1:
% 222.99/37.88 | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | (8346) all_57_11 = e1 & op(e1, e0) = e1
% 222.99/37.88 | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | ALPHA: (8346) implies:
% 222.99/37.88 | | | | | | | | | | | | | | | (8347) op(e1, e0) = e1
% 222.99/37.88 | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 222.99/37.88 | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | Case 1:
% 222.99/37.88 | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | (8348) (all_57_12 = e1 & op(e0, e3) = e1) | (all_57_13 =
% 222.99/37.88 | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 222.99/37.88 | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | BETA: splitting (8348) gives:
% 222.99/37.88 | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.88 | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | (8349) all_57_12 = e1 & op(e0, e3) = e1
% 222.99/37.88 | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (7575), (8349), (function-axioms) are
% 222.99/37.88 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1947.
% 222.99/37.88 | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | (8350) all_57_13 = e1 & op(e0, e2) = e1
% 222.99/37.88 | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (8330), (8350), (function-axioms) are
% 222.99/37.88 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #330.
% 222.99/37.88 | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | End of split
% 222.99/37.88 | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | Case 2:
% 222.99/37.88 | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | (8351) (all_57_14 = e1 & op(e0, e1) = e1) | (all_57_15 =
% 222.99/37.88 | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 222.99/37.88 | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | BETA: splitting (8351) gives:
% 222.99/37.88 | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.88 | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | (8352) all_57_14 = e1 & op(e0, e1) = e1
% 222.99/37.88 | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | ALPHA: (8352) implies:
% 222.99/37.88 | | | | | | | | | | | | | | | | | (8353) all_57_14 = e1
% 222.99/37.88 | | | | | | | | | | | | | | | | | (8354) op(e0, e1) = e1
% 222.99/37.88 | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 222.99/37.88 | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.88 | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | (8355) all_55_15 = e3
% 222.99/37.88 | | | | | | | | | | | | | | | | | |
% 222.99/37.88 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (8355) imply:
% 222.99/37.88 | | | | | | | | | | | | | | | | | | (8356) all_4_2 = e3
% 222.99/37.88 | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | REDUCE: (7584), (8356) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | (8357) $false
% 222.99/37.89 | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | CLOSE: (8357) is inconsistent.
% 222.99/37.89 | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.89 | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | (8358) ~ (all_55_15 = e3)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | (8359) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 222.99/37.89 | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | BETA: splitting (8359) gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | (8360) all_55_15 = e2
% 222.99/37.89 | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (8360) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | (8361) all_4_2 = e2
% 222.99/37.89 | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | REDUCE: (373), (8361) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | (8362) $false
% 222.99/37.89 | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | CLOSE: (8362) is inconsistent.
% 222.99/37.89 | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | (8363) ~ (all_55_15 = e2)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | (8364) all_55_15 = e1 | all_55_15 = e0
% 222.99/37.89 | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | BETA: splitting (8364) gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | (8365) all_55_15 = e1
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (8365) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | (8366) all_4_2 = e1
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | REDUCE: (8341), (8366) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | (8367) $false
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | CLOSE: (8367) is inconsistent.
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | (8368) all_55_15 = e0
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (8368) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | (8369) all_4_2 = e0
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (8369) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | (8370) ~ (all_53_7 = e0)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (8369) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | (8371) ~ (all_53_12 = e0)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (8369) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | (8372) ~ (all_53_13 = e0)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (8369) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | (8373) ~ (all_53_14 = e0)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | REDUCE: (7584), (8369) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | (8374) ~ (e3 = e0)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (8369) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | (8375) ~ (e2 = e0)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | (8376) all_57_15 = e0 & op(e0, e0) = e0
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8376) implies:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | (8377) all_57_15 = e0
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | (8378) op(e0, e0) = e0
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_11,
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | e1, e1, e0, simplifying with (158), (8354) gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | (8379) all_53_11 = e1
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_14,
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (161), (8347) gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | (8380) all_53_14 = e1
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (8380) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | (8381) ~ (all_6_2 = e1)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | SIMP: (8381) implies:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | (8382) ~ (all_6_2 = e1)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | (8383) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8383) gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | (8384) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8384) implies:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | (8385) op(e3, e1) = all_52_5
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | (8386) op(e3, e2) = all_52_3
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | (8387) op(all_52_5, all_52_5) = e1
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | (8388) op(all_52_3, all_52_3) = e2
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (169), (208),
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (231), (7575), (7581), (8353),
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | (8371), (8377), (8378), (8385), (8386), (8387),
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | (8388), (function-axioms) are inconsistent by
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #319.
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | (8389) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8389) implies:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | (8390) op(e2, e0) = all_52_15
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | (8391) op(e2, e1) = all_52_13
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | (8392) op(e2, e2) = all_52_11
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | (8393) op(all_52_15, all_52_15) = e0
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | (8394) op(all_52_13, all_52_13) = e1
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | (8395) all_55_10 = e3
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (374), (8395) are inconsistent by sub-proof
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | #2500.
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | (8396) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8396) gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | (8397) all_55_10 = e2
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (8397) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | (8398) all_6_2 = e2
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8398) implies:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | (8399) all_6_2 = e2
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (8399) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | (8400) ~ (all_53_9 = e2)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_13,
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_15, e0, e2, simplifying with (165), (8390)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | (8401) all_53_13 = all_52_15
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_9,
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_13, e1, e2, simplifying with (166), (8391)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | (8402) all_53_9 = all_52_13
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_11, e2, e2, simplifying with (8334), (8392)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | (8403) all_52_11 = e1
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (8401) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | (8404) all_55_7 = all_52_15
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (8402) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | (8405) all_55_6 = all_52_13
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (8401), (8402) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | (8406) ~ (all_52_13 = all_52_15)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8400), (8402) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | (8407) ~ (all_52_13 = e2)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8331), (8402) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | (8408) ~ (all_52_13 = e1)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (8401) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | (8409) ~ (all_53_12 = all_52_15)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8332), (8401) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | (8410) ~ (all_52_15 = e1)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8372), (8401) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | (8411) ~ (all_52_15 = e0)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (8412) all_55_3 = e3
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (8412) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (8413) all_53_12 = e3
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8413) implies:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (8414) all_53_12 = e3
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8409), (8414) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (8415) ~ (all_52_15 = e3)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8415) implies:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (8416) ~ (all_52_15 = e3)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8417) all_55_7 = e3
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8404), (8416), (8417) are inconsistent by
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2063.
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8418) all_55_7 = e2 | all_55_7 = e1 | all_55_7 = e0
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8418) gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8419) all_55_7 = e2
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8404), (8419) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8420) all_52_15 = e2
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8393), (8420) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8421) op(e2, e2) = e0
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8334), (8421), (function-axioms) are
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8422) all_55_7 = e1 | all_55_7 = e0
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8422) gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8423) all_55_7 = e1
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8404), (8410), (8423) are inconsistent by
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2277.
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8424) all_55_7 = e0
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8404), (8411), (8424) are inconsistent by
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2276.
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (8425) all_55_3 = e2 | all_55_3 = e1 | all_55_3 = e0
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8425) gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8426) all_55_3 = e2
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (8426) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8427) all_53_12 = e2
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8427) implies:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8428) all_53_12 = e2
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8409), (8428) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8429) ~ (all_52_15 = e2)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8429) implies:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8430) ~ (all_52_15 = e2)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8431) all_55_7 = e3
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8404), (8431) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8432) all_52_15 = e3
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8432) implies:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8433) all_52_15 = e3
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8406), (8433) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8434) ~ (all_52_13 = e3)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8435) all_55_6 = e3
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8405), (8434), (8435) are inconsistent by
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #318.
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8436) all_55_6 = e2 | all_55_6 = e1 | all_55_6 = e0
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8378), (8394), (8405), (8407), (8408), (8436),
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2289.
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8437) all_55_7 = e2 | all_55_7 = e1 | all_55_7 = e0
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8404), (8410), (8411), (8430), (8437) are
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8438) all_55_3 = e1 | all_55_3 = e0
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (7578), (8371), (8438) are inconsistent by
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2132.
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | (8439) all_55_10 = e1 | all_55_10 = e0
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (8339), (8382), (8439) are inconsistent by
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1685.
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | (8440) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8440) gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | (8441) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8441) implies:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | (8442) op(e1, e0) = all_52_23
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | (8443) op(e1, e1) = all_52_21
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | (8444) op(e1, e2) = all_52_19
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | (8445) op(e1, e3) = all_52_17
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | (8446) op(all_52_23, all_52_23) = e0
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | (8447) op(all_52_21, all_52_21) = e1
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | (8448) op(all_52_19, all_52_19) = e2
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | (8449) op(all_52_17, all_52_17) = e3
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | (8450) all_55_10 = e3
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (374), (8450) are inconsistent by sub-proof
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | #2500.
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | (8451) ~ (all_55_10 = e3)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | (8452) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8452) gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | (8453) all_55_10 = e2
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (8453) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | (8454) all_6_2 = e2
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8454) implies:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | (8455) all_6_2 = e2
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (8455) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | (8456) ~ (all_53_9 = e2)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (374), (8455) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | (8457) ~ (e3 = e2)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (8455) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | (8458) op(e1, e1) = e2
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (8459) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_5 = e2
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8459) gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8460) all_57_4 = e2 & op(e3, e1) = e2
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8460) implies:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8461) all_57_4 = e2
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8462) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8462) gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8463) all_57_0 = e0 & op(e3, e3) = e0
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8463) implies:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8464) all_57_0 = e0
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (39), (160), (168), (195), (232), (336),
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (7573), (7575), (8445), (8449), (8464),
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1545.
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8465) all_57_1 = e0 & op(e3, e2) = e0
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8465) implies:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8466) all_57_1 = e0
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8467) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8334), (8466), (8467),
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1738.
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8468) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8468) gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8469) all_57_7 = e2 & op(e1, e2) = e2
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8469) implies:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8470) all_57_7 = e2
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (161), (163),
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (217), (374), (8329), (8339),
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8373), (8458), (8470), (function-axioms) are
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1817.
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8471) all_57_13 = e2 & op(e0, e2) = e2
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8471) implies:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8472) all_57_13 = e2
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8473) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8473) gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8474) all_57_4 = e0 & op(e3, e1) = e0
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8461), (8474) are inconsistent by sub-proof
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2045.
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8475) all_57_5 = e0 & op(e2, e1) = e0
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8475) implies:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8476) all_57_5 = e0
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8477) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (8334), (8466), (8477),
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1737.
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8478) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8478) gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8479) all_57_7 = e3 & op(e1, e2) = e3
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8479) implies:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8480) all_57_7 = e3
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8481) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8481) gives:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8482) all_57_4 = e3 & op(e3, e1) = e3
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8482) implies:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8483) all_57_4 = e3
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8461), (8483) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8484) e3 = e2
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8484) implies:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8485) e3 = e2
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8480), (8485) imply:
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8486) all_57_7 = e2
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (8334), (8472), (8486), (function-axioms)
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1696.
% 222.99/37.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8487) all_57_5 = e3 & op(e2, e1) = e3
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8487) implies:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8488) all_57_5 = e3
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8476), (8488) are inconsistent by sub-proof
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2471.
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8489) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8489) gives:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8490) all_57_8 = e3 & op(e1, e1) = e3
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8490) implies:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8491) op(e1, e1) = e3
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (8491), (function-axioms) are
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8492) all_57_14 = e3 & op(e0, e1) = e3
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8353), (8492) are inconsistent by sub-proof
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1966.
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8493) all_57_13 = e3 & op(e0, e2) = e3
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8472), (8493) are inconsistent by sub-proof
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1358.
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8494) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8494) gives:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8495) all_57_8 = e0 & op(e1, e1) = e0
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8495) implies:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8496) op(e1, e1) = e0
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (165), (169), (171), (207), (7576), (8371),
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8372), (8373), (8443), (8447), (8465), (8496),
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1842.
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8497) all_57_14 = e0 & op(e0, e1) = e0
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8497) implies:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8498) all_57_14 = e0
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (208), (209),
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (7575), (8377), (8378), (8498),
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #320.
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8499) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8499) gives:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8500) all_57_4 = e0 & op(e3, e1) = e0
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8500) implies:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8501) all_57_4 = e0
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8461), (8501) are inconsistent by sub-proof
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2441.
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8502) all_57_9 = e0 & op(e3, e0) = e0
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8371), (8502), (function-axioms) are
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2434.
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8503) all_57_5 = e2 & op(e2, e1) = e2
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (8456), (8503), (function-axioms) are
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1858.
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (8504) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_14 =
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8504) gives:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8505) all_57_8 = e2 & op(e1, e1) = e2
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_23, e0, e1, simplifying with (8347), (8442)
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8506) all_52_23 = e1
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21, e1, e1, simplifying with (8443), (8458)
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8507) all_52_21 = e2
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_6,
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_19, e2, e1, simplifying with (163), (8444)
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8508) all_53_6 = all_52_19
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8446), (8506) imply:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8509) op(e1, e1) = e0
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (159), (161), (165), (169), (171), (190),
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (226), (244), (362), (370), (371), (372),
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (7576), (7584), (8334), (8341), (8443),
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8444), (8447), (8448), (8509), (function-axioms)
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1838.
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8510) all_57_14 = e2 & op(e0, e1) = e2
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8510) implies:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8511) all_57_14 = e2
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8353), (8511) are inconsistent by sub-proof
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2178.
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | (8512) all_55_10 = e1 | all_55_10 = e0
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (8339), (8382), (8512) are inconsistent by
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1685.
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | (8513) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8513) implies:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | (8514) op(e0, e1) = all_52_29
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | (8515) op(e0, e2) = all_52_27
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | (8516) op(all_52_29, all_52_29) = e1
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | (8517) op(all_52_27, all_52_27) = e2
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | (8518) all_55_10 = e3
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (374), (8518) are inconsistent by sub-proof
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | #2500.
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | (8519) ~ (all_55_10 = e3)
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | (8520) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8520) gives:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | (8521) all_55_10 = e2
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (8521) imply:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | (8522) all_6_2 = e2
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8522) implies:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | (8523) all_6_2 = e2
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (8523) imply:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | (8524) ~ (all_53_9 = e2)
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (374), (8523) imply:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | (8525) ~ (e3 = e2)
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (8526) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_5 = e2
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8526) gives:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8527) all_57_4 = e2 & op(e3, e1) = e2
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8527) implies:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8528) all_57_4 = e2
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8529) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8529) gives:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8530) all_57_4 = e0 & op(e3, e1) = e0
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8528), (8530) are inconsistent by sub-proof
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2045.
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8531) all_57_5 = e0 & op(e2, e1) = e0
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8531) implies:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8532) op(e2, e1) = e0
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (192), (246), (8326), (8330), (8334),
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8337), (8370), (8515), (8517), (8532),
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1709.
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8533) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8533) gives:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8534) all_57_8 = e0 & op(e1, e1) = e0
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (8339), (8534), (function-axioms) are
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2412.
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8535) all_57_14 = e0 & op(e0, e1) = e0
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8535) implies:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8536) all_57_14 = e0
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (208), (209),
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (7575), (8377), (8378), (8536),
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #320.
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8537) all_57_5 = e2 & op(e2, e1) = e2
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (8524), (8537), (function-axioms) are
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1858.
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (8538) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_14 =
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8538) gives:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8539) all_57_8 = e2 & op(e1, e1) = e2
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8539) implies:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8540) op(e1, e1) = e2
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29, e1, e0, simplifying with (8354), (8514)
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8541) all_52_29 = e1
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8516), (8541) imply:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8542) op(e1, e1) = e1
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8540), (8542), (function-axioms) are
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2423.
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8543) all_57_14 = e2 & op(e0, e1) = e2
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8543) implies:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8544) all_57_14 = e2
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8353), (8544) are inconsistent by sub-proof
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2178.
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | (8545) all_55_10 = e1 | all_55_10 = e0
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (8339), (8382), (8545) are inconsistent by
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1685.
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | (8546) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (165), (169), (8371), (8372), (8373),
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | (8546), (function-axioms) are inconsistent by
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | | sub-proof #2112.
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.90 | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | (8547) all_57_15 = e1 & op(e0, e0) = e1
% 222.99/37.90 | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | ALPHA: (8547) implies:
% 222.99/37.90 | | | | | | | | | | | | | | | | | (8548) op(e0, e0) = e1
% 222.99/37.90 | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (190), (244), (373), (7584), (8341), (8548),
% 222.99/37.90 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.99/37.90 | | | | | | | | | | | | | | | | | #317.
% 222.99/37.90 | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | Case 2:
% 222.99/37.90 | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | (8549) all_57_15 = e1 & op(e0, e0) = e1
% 222.99/37.90 | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | ALPHA: (8549) implies:
% 222.99/37.90 | | | | | | | | | | | | | | | (8550) op(e0, e0) = e1
% 222.99/37.90 | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | REF_CLOSE: (36), (190), (244), (373), (7584), (8341), (8550),
% 222.99/37.90 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.99/37.90 | | | | | | | | | | | | | | | #317.
% 222.99/37.90 | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | Case 2:
% 222.99/37.90 | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | (8551) all_30_2 = e1
% 222.99/37.90 | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | COMBINE_EQS: (330), (8551) imply:
% 222.99/37.90 | | | | | | | | | | | | | (8552) all_4_2 = e1
% 222.99/37.90 | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | SIMP: (8552) implies:
% 222.99/37.90 | | | | | | | | | | | | | (8553) all_4_2 = e1
% 222.99/37.90 | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | REDUCE: (372), (8553) imply:
% 222.99/37.90 | | | | | | | | | | | | | (8554) ~ (all_53_14 = e1)
% 222.99/37.90 | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | REDUCE: (373), (8553) imply:
% 222.99/37.90 | | | | | | | | | | | | | (8555) ~ (e2 = e1)
% 222.99/37.90 | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | REDUCE: (36), (8553) imply:
% 222.99/37.90 | | | | | | | | | | | | | (8556) op(e0, e0) = e1
% 222.99/37.90 | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | BETA: splitting (215) gives:
% 222.99/37.90 | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | Case 1:
% 222.99/37.90 | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | (8557) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 222.99/37.90 | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 222.99/37.90 | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | BETA: splitting (8557) gives:
% 222.99/37.90 | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | Case 1:
% 222.99/37.90 | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | (8558) all_57_6 = e1 & op(e1, e3) = e1
% 222.99/37.90 | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | REF_CLOSE: (164), (7574), (8558), (function-axioms) are
% 222.99/37.90 | | | | | | | | | | | | | | | inconsistent by sub-proof #316.
% 222.99/37.90 | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | Case 2:
% 222.99/37.90 | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | (8559) all_57_7 = e1 & op(e1, e2) = e1
% 222.99/37.90 | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | REF_CLOSE: (163), (8329), (8559), (function-axioms) are
% 222.99/37.90 | | | | | | | | | | | | | | | inconsistent by sub-proof #2265.
% 222.99/37.90 | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | Case 2:
% 222.99/37.90 | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | (8560) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 222.99/37.90 | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 222.99/37.90 | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | BETA: splitting (8560) gives:
% 222.99/37.90 | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | Case 1:
% 222.99/37.90 | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | (8561) all_57_8 = e1 & op(e1, e1) = e1
% 222.99/37.90 | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | ALPHA: (8561) implies:
% 222.99/37.90 | | | | | | | | | | | | | | | (8562) op(e1, e1) = e1
% 222.99/37.90 | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2, e1,
% 222.99/37.90 | | | | | | | | | | | | | | | e1, e1, simplifying with (39), (8562) gives:
% 222.99/37.90 | | | | | | | | | | | | | | | (8563) all_6_2 = e1
% 222.99/37.90 | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | REDUCE: (366), (8563) imply:
% 222.99/37.90 | | | | | | | | | | | | | | | (8564) ~ (all_53_11 = e1)
% 222.99/37.90 | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 222.99/37.90 | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | Case 1:
% 222.99/37.90 | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | (8565) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 222.99/37.90 | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 222.99/37.90 | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 222.99/37.90 | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 222.99/37.90 | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 222.99/37.90 | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 222.99/37.90 | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 222.99/37.90 | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 222.99/37.90 | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 222.99/37.90 | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 222.99/37.90 | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 222.99/37.90 | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 222.99/37.90 | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 222.99/37.90 | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 222.99/37.90 | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 222.99/37.90 | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | BETA: splitting (8565) gives:
% 222.99/37.90 | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.90 | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | (8566) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 222.99/37.90 | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 222.99/37.90 | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 222.99/37.90 | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 222.99/37.90 | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 222.99/37.90 | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 222.99/37.90 | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 222.99/37.90 | | | | | | | | | | | | | | | | | $i(all_52_7)
% 222.99/37.90 | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (7582), (8566), (function-axioms) are
% 222.99/37.90 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #360.
% 222.99/37.90 | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.90 | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | (8567) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 222.99/37.90 | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 222.99/37.90 | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 222.99/37.90 | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 222.99/37.90 | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 222.99/37.90 | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 222.99/37.90 | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 222.99/37.90 | | | | | | | | | | | | | | | | | $i(all_52_15)
% 222.99/37.90 | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8334), (8562), (8567), (function-axioms) are
% 222.99/37.90 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1855.
% 222.99/37.90 | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | End of split
% 222.99/37.90 | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | Case 2:
% 222.99/37.90 | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | (8568) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 222.99/37.90 | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 222.99/37.90 | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 222.99/37.90 | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 222.99/37.90 | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 222.99/37.90 | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 222.99/37.90 | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 222.99/37.90 | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 222.99/37.90 | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 222.99/37.90 | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 222.99/37.90 | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 222.99/37.90 | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 222.99/37.90 | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 222.99/37.90 | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 222.99/37.90 | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 222.99/37.90 | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 222.99/37.90 | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | BETA: splitting (8568) gives:
% 222.99/37.90 | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.90 | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | (8569) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 222.99/37.90 | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 222.99/37.90 | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 222.99/37.90 | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 222.99/37.90 | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 222.99/37.90 | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 222.99/37.90 | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 222.99/37.90 | | | | | | | | | | | | | | | | | $i(all_52_23)
% 222.99/37.90 | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | ALPHA: (8569) implies:
% 222.99/37.90 | | | | | | | | | | | | | | | | | (8570) op(e1, e0) = all_52_23
% 222.99/37.90 | | | | | | | | | | | | | | | | | (8571) op(e1, e2) = all_52_19
% 222.99/37.90 | | | | | | | | | | | | | | | | | (8572) op(e1, e3) = all_52_17
% 222.99/37.90 | | | | | | | | | | | | | | | | | (8573) op(all_52_23, all_52_23) = e0
% 222.99/37.90 | | | | | | | | | | | | | | | | | (8574) op(all_52_19, all_52_19) = e2
% 222.99/37.90 | | | | | | | | | | | | | | | | | (8575) op(all_52_17, all_52_17) = e3
% 222.99/37.90 | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_14,
% 222.99/37.90 | | | | | | | | | | | | | | | | | all_52_23, e0, e1, simplifying with (161), (8570)
% 222.99/37.90 | | | | | | | | | | | | | | | | | gives:
% 222.99/37.90 | | | | | | | | | | | | | | | | | (8576) all_53_14 = all_52_23
% 222.99/37.90 | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_6,
% 222.99/37.90 | | | | | | | | | | | | | | | | | all_52_19, e2, e1, simplifying with (163), (8571)
% 222.99/37.90 | | | | | | | | | | | | | | | | | gives:
% 222.99/37.90 | | | | | | | | | | | | | | | | | (8577) all_53_6 = all_52_19
% 222.99/37.90 | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_2,
% 222.99/37.90 | | | | | | | | | | | | | | | | | all_52_17, e3, e1, simplifying with (164), (8572)
% 222.99/37.90 | | | | | | | | | | | | | | | | | gives:
% 222.99/37.90 | | | | | | | | | | | | | | | | | (8578) all_53_2 = all_52_17
% 222.99/37.90 | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (8576) imply:
% 222.99/37.90 | | | | | | | | | | | | | | | | | (8579) all_55_11 = all_52_23
% 222.99/37.90 | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (8577) imply:
% 222.99/37.90 | | | | | | | | | | | | | | | | | (8580) all_55_9 = all_52_19
% 222.99/37.90 | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (8578) imply:
% 222.99/37.90 | | | | | | | | | | | | | | | | | (8581) all_55_8 = all_52_17
% 222.99/37.90 | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | REDUCE: (150), (8578) imply:
% 222.99/37.90 | | | | | | | | | | | | | | | | | (8582) ~ (all_53_1 = all_52_17)
% 222.99/37.90 | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | REDUCE: (145), (8578) imply:
% 222.99/37.90 | | | | | | | | | | | | | | | | | (8583) ~ (all_53_3 = all_52_17)
% 222.99/37.90 | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | SIMP: (8583) implies:
% 222.99/37.90 | | | | | | | | | | | | | | | | | (8584) ~ (all_53_3 = all_52_17)
% 222.99/37.90 | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | REDUCE: (7574), (8578) imply:
% 222.99/37.90 | | | | | | | | | | | | | | | | | (8585) ~ (all_52_17 = e1)
% 222.99/37.90 | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | REDUCE: (137), (8577) imply:
% 222.99/37.90 | | | | | | | | | | | | | | | | | (8586) ~ (all_53_4 = all_52_19)
% 222.99/37.90 | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | REDUCE: (129), (8577) imply:
% 222.99/37.90 | | | | | | | | | | | | | | | | | (8587) ~ (all_53_7 = all_52_19)
% 222.99/37.90 | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | SIMP: (8587) implies:
% 222.99/37.90 | | | | | | | | | | | | | | | | | (8588) ~ (all_53_7 = all_52_19)
% 222.99/37.90 | | | | | | | | | | | | | | | | |
% 222.99/37.90 | | | | | | | | | | | | | | | | | REDUCE: (8329), (8577) imply:
% 222.99/37.90 | | | | | | | | | | | | | | | | | (8589) ~ (all_52_19 = e1)
% 222.99/37.91 | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | REDUCE: (113), (8576) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | (8590) ~ (all_53_12 = all_52_23)
% 222.99/37.91 | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | REDUCE: (111), (8576) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | (8591) ~ (all_53_13 = all_52_23)
% 222.99/37.91 | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | REDUCE: (8554), (8576) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | (8592) ~ (all_52_23 = e1)
% 222.99/37.91 | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 222.99/37.91 | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.91 | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | (8593) ~ (all_36_2 = e1)
% 222.99/37.91 | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | REDUCE: (7572), (8593) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | (8594) $false
% 222.99/37.91 | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | CLOSE: (8594) is inconsistent.
% 222.99/37.91 | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.91 | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | (8595) ( ~ (all_36_0 = e0) & op(all_36_1, e3) = all_36_0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_36_1 & $i(all_36_0) &
% 222.99/37.91 | | | | | | | | | | | | | | | | | | $i(all_36_1)) | ( ~ (all_36_1 = e2) & op(e3, e1)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 222.99/37.91 | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 222.99/37.91 | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | (8596) all_55_3 = e3
% 222.99/37.91 | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (8596) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | (8597) all_53_12 = e3
% 222.99/37.91 | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | SIMP: (8597) implies:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | (8598) all_53_12 = e3
% 222.99/37.91 | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | REDUCE: (134), (8598) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | (8599) ~ (all_53_4 = e3)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | REDUCE: (121), (8598) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | (8600) ~ (all_53_8 = e3)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | REDUCE: (169), (8598) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | (8601) op(e3, e0) = e3
% 222.99/37.91 | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | (8602) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8602) gives:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | (8603) all_57_0 = e2 & op(e3, e3) = e2
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8603) implies:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | (8604) op(e3, e3) = e2
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7582), (8604), (function-axioms) are
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1950.
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | (8605) all_57_1 = e2 & op(e3, e2) = e2
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8605) implies:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | (8606) all_57_1 = e2
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | (8607) op(e3, e2) = e2
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | (8608) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (39), (160), (168), (195), (232), (336),
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | (374), (7573), (7575), (8572), (8575), (8606),
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | (8608), (function-axioms) are inconsistent by
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | sub-proof #315.
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | (8609) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8609) gives:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | (8610) all_57_4 = e0 & op(e3, e1) = e0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8610) implies:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | (8611) op(e3, e1) = e0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_8, e0,
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (170), (8611) gives:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | (8612) all_53_8 = e0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_4, e2,
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (171), (8607) gives:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | (8613) all_53_4 = e2
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (8613) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | (8614) ~ (all_53_7 = e2)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8614) implies:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | (8615) ~ (all_53_7 = e2)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8586), (8613) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | (8616) ~ (all_52_19 = e2)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8616) implies:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | (8617) ~ (all_52_19 = e2)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8599), (8613) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | (8618) ~ (e3 = e2)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8600), (8612) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | (8619) ~ (e3 = e0)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7577), (8612) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | (8620) ~ (e1 = e0)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8595) gives:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | (8621) ~ (all_36_0 = e0) & op(all_36_1, e3) = all_36_0 &
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_36_1 & $i(all_36_0) &
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8621) implies:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | (8622) op(e3, e1) = all_36_1
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | (8623) op(all_36_1, e3) = all_36_0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7571) gives:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8624) ~ (all_10_0 = e2) & op(all_10_1, e3) = all_10_0 &
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_10_1 & $i(all_10_0) &
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_10_1)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8624) implies:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8625) ~ (all_10_0 = e2)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8626) op(e3, e1) = all_10_1
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8627) op(all_10_1, e3) = all_10_0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_36_1,
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (8611), (8622) gives:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8628) all_36_1 = e0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_1,
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | all_36_1, e1, e3, simplifying with (8622), (8626)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8629) all_36_1 = all_10_1
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8628), (8629) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8630) all_10_1 = e0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8630) implies:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8631) all_10_1 = e0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8623), (8628) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8632) op(e0, e3) = all_36_0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8627), (8631) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8633) op(e0, e3) = all_10_0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_3,
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | all_10_0, e3, e0, simplifying with (160), (8633)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8634) all_53_3 = all_10_0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_3,
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | all_36_0, e3, e0, simplifying with (160), (8632)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8635) all_53_3 = all_36_0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8634), (8635) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8636) all_36_0 = all_10_0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8636) implies:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8637) all_36_0 = all_10_0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (8634) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8638) all_55_12 = all_10_0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (8634) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8639) ~ (all_53_1 = all_10_0)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (8634) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8640) ~ (all_53_7 = all_10_0)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8640) implies:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8641) ~ (all_53_7 = all_10_0)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (8634) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8642) ~ (all_53_11 = all_10_0)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8642) implies:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8643) ~ (all_53_11 = all_10_0)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7575), (8634) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8644) ~ (all_10_0 = e1)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (8645) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (8615), (8625), (8633), (8645),
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | #314.
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (8646) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8646) gives:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8647) all_57_14 = e2 & op(e0, e1) = e2
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8647) implies:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8648) all_57_14 = e2
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (39), (126), (147), (158),
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (166), (168), (192), (193), (195), (196),
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (201), (221), (231), (232), (246), (247),
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (267), (336), (374), (7573), (7575), (7582),
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8330), (8564), (8572), (8574), (8575), (8580),
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8581), (8582), (8584), (8585), (8588), (8589),
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8601), (8606), (8617), (8638), (8639), (8641),
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8643), (8644), (8647), (8648), (function-axioms)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #310.
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8649) all_57_15 = e2 & op(e0, e0) = e2
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8649) implies:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8650) op(e0, e0) = e2
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8556), (8650), (function-axioms) are
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2177.
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8651) ~ (all_10_1 = e0) & op(e3, e1) = all_10_1 &
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_10_1)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8651) implies:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8652) ~ (all_10_1 = e0)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8653) op(e3, e1) = all_10_1
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8611), (8622), (8652), (8653), (function-axioms)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #309.
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | (8654) ~ (all_36_1 = e2) & op(e3, e1) = all_36_1 &
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8654) implies:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | (8655) ~ (all_36_1 = e2)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | (8656) op(e3, e1) = all_36_1
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7571) gives:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8657) ~ (all_10_0 = e2) & op(all_10_1, e3) = all_10_0 &
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_10_1 & $i(all_10_0) &
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_10_1)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8657) implies:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8658) ~ (all_10_0 = e2)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8659) op(e3, e1) = all_10_1
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8660) op(all_10_1, e3) = all_10_0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_36_1,
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (8611), (8656) gives:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8661) all_36_1 = e0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_1,
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | all_36_1, e1, e3, simplifying with (8656), (8659)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8662) all_36_1 = all_10_1
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8661), (8662) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8663) all_10_1 = e0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8663) implies:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8664) all_10_1 = e0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8655), (8661) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8665) ~ (e2 = e0)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8660), (8664) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8666) op(e0, e3) = all_10_0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_3,
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | all_10_0, e3, e0, simplifying with (160), (8666)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8667) all_53_3 = all_10_0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (8667) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8668) all_55_12 = all_10_0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (8667) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8669) ~ (all_53_1 = all_10_0)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (8667) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8670) ~ (all_53_7 = all_10_0)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8670) implies:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8671) ~ (all_53_7 = all_10_0)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (8667) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8672) ~ (all_53_11 = all_10_0)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8672) implies:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8673) ~ (all_53_11 = all_10_0)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7575), (8667) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8674) ~ (all_10_0 = e1)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (8675) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (8615), (8658), (8666), (8675),
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | #314.
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (8676) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8676) gives:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8677) all_57_14 = e2 & op(e0, e1) = e2
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8677) implies:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8678) all_57_14 = e2
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (39), (126), (147), (158),
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (166), (168), (192), (193), (195), (196),
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (201), (221), (231), (232), (246), (247),
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (267), (336), (374), (7573), (7575), (7582),
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8330), (8564), (8572), (8574), (8575), (8580),
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8581), (8582), (8584), (8585), (8588), (8589),
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8601), (8606), (8617), (8668), (8669), (8671),
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8673), (8674), (8677), (8678), (function-axioms)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #310.
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8679) all_57_15 = e2 & op(e0, e0) = e2
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8679) implies:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8680) op(e0, e0) = e2
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8556), (8680), (function-axioms) are
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2177.
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8681) ~ (all_10_1 = e0) & op(e3, e1) = all_10_1 &
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_10_1)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8681) implies:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8682) ~ (all_10_1 = e0)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | (8683) op(e3, e1) = all_10_1
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8611), (8656), (8682), (8683), (function-axioms)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #309.
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | (8684) all_57_9 = e0 & op(e3, e0) = e0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8684) implies:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | (8685) op(e3, e0) = e0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8601), (8685), (function-axioms) are
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #313.
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | (8686) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8686) gives:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | (8687) all_57_4 = e2 & op(e3, e1) = e2
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8687) implies:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | (8688) all_57_4 = e2
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | (8689) op(e3, e1) = e2
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | (8690) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8690) gives:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | (8691) all_57_0 = e0 & op(e3, e3) = e0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8691) implies:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | (8692) all_57_0 = e0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (39), (160), (168), (195), (232), (336),
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | (374), (7573), (7575), (8572), (8575), (8692),
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | #1545.
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | (8693) all_57_1 = e0 & op(e3, e2) = e0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8693) implies:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | (8694) op(e3, e2) = e0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_8, e2,
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (170), (8689) gives:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | (8695) all_53_8 = e2
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_4, e0,
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (171), (8694) gives:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | (8696) all_53_4 = e0
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (8696) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | (8697) ~ (all_53_7 = e0)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8697) implies:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | (8698) ~ (all_53_7 = e0)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8586), (8696) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | (8699) ~ (all_52_19 = e0)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8699) implies:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | (8700) ~ (all_52_19 = e0)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7576), (8696) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | (8701) ~ (e1 = e0)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (124), (8695) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | (8702) ~ (all_53_9 = e2)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8702) implies:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | (8703) ~ (all_53_9 = e2)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8600), (8695) imply:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | (8704) ~ (e3 = e2)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7571) gives:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | (8705) ~ (all_10_0 = e2) & op(all_10_1, e3) = all_10_0 &
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_10_1 & $i(all_10_0) &
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_10_1)
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.91 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8705) implies:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | (8706) ~ (all_10_0 = e2)
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | (8707) op(e3, e1) = all_10_1
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | (8708) op(all_10_1, e3) = all_10_0
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8595) gives:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8709) ~ (all_36_0 = e0) & op(all_36_1, e3) = all_36_0 &
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_36_1 & $i(all_36_0) &
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8709) implies:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8710) ~ (all_36_0 = e0)
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8711) op(e3, e1) = all_36_1
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8712) op(all_36_1, e3) = all_36_0
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_36_1,
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (8689), (8711) gives:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8713) all_36_1 = e2
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_1,
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_36_1, e1, e3, simplifying with (8707), (8711)
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8714) all_36_1 = all_10_1
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8713), (8714) imply:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8715) all_10_1 = e2
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8715) implies:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8716) all_10_1 = e2
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8712), (8713) imply:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8717) op(e2, e3) = all_36_0
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8708), (8716) imply:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8718) op(e2, e3) = all_10_0
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_1,
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_10_0, e3, e2, simplifying with (168), (8718)
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8719) all_53_1 = all_10_0
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_1,
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_36_0, e3, e2, simplifying with (168), (8717)
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8720) all_53_1 = all_36_0
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8719), (8720) imply:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8721) all_36_0 = all_10_0
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8721) implies:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8722) all_36_0 = all_10_0
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (8719) imply:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8723) all_55_4 = all_10_0
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (8719) imply:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8724) ~ (all_53_9 = all_10_0)
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8724) implies:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8725) ~ (all_53_9 = all_10_0)
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7573), (8719) imply:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8726) ~ (all_10_0 = e1)
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8710), (8722) imply:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8727) ~ (all_10_0 = e0)
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (8728) all_55_4 = e3
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8723), (8728) imply:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (8729) all_10_0 = e3
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8725), (8729) imply:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (8730) ~ (all_53_9 = e3)
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8731) all_55_6 = e3
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (8731) imply:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8732) all_53_9 = e3
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8730), (8732) imply:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8733) $false
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8733) is inconsistent.
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8734) all_55_6 = e2 | all_55_6 = e1 | all_55_6 = e0
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8734) gives:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8735) all_55_6 = e2
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (8703), (8735) are inconsistent by
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2398.
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8736) all_55_6 = e1 | all_55_6 = e0
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8736) gives:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8737) all_55_6 = e1
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (8331), (8737) are inconsistent by
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2163.
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8738) all_55_6 = e0
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (8738) imply:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8739) all_53_9 = e0
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8739) implies:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8740) all_53_9 = e0
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (8740) imply:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8741) ~ (all_53_11 = e0)
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8741) implies:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8742) ~ (all_53_11 = e0)
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8743) all_55_14 = e3
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (8743) imply:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8744) all_53_11 = e3
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8744) implies:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8745) all_53_11 = e3
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (8745) imply:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8746) ~ (all_53_7 = e3)
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8747) all_55_13 = e3
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (8746), (8747) are inconsistent by
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2080.
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8748) all_55_13 = e2 | all_55_13 = e1 | all_55_13 = e0
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (136), (196), (204), (246), (270), (7576), (7582),
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8330), (8574), (8580), (8586), (8588), (8589),
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8599), (8698), (8748), (function-axioms) are
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #308.
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8749) all_55_14 = e2 | all_55_14 = e1 | all_55_14 = e0
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (192), (196), (245), (246), (8330), (8334),
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8564), (8574), (8580), (8588), (8589), (8698),
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8700), (8742), (8749), (function-axioms) are
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1600.
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (8750) all_55_4 = e2 | all_55_4 = e1 | all_55_4 = e0
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8750) gives:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8751) all_55_4 = e2
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8723), (8751) imply:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8752) all_10_0 = e2
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8706), (8752) imply:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8753) $false
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8753) is inconsistent.
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8754) all_55_4 = e1 | all_55_4 = e0
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8754) gives:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8755) all_55_4 = e1
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8723), (8755) imply:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8756) all_10_0 = e1
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8726), (8756) imply:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8757) $false
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8757) is inconsistent.
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8758) all_55_4 = e0
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8723), (8758) imply:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8759) all_10_0 = e0
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8727), (8759) imply:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8760) $false
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8760) is inconsistent.
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8761) ~ (all_36_1 = e2) & op(e3, e1) = all_36_1 &
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8761) implies:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8762) ~ (all_36_1 = e2)
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8763) op(e3, e1) = all_36_1
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_36_1,
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (8689), (8763) gives:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8764) all_36_1 = e2
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8762), (8764) imply:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8765) $false
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8765) is inconsistent.
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | (8766) ~ (all_10_1 = e0) & op(e3, e1) = all_10_1 &
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_10_1)
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8766) implies:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | (8767) ~ (all_10_1 = e0)
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | (8768) op(e3, e1) = all_10_1
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8595) gives:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8769) ~ (all_36_0 = e0) & op(all_36_1, e3) = all_36_0 &
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_36_1 & $i(all_36_0) &
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8769) implies:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8770) op(e3, e1) = all_36_1
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_36_1,
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (8689), (8770) gives:
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8771) all_36_1 = e2
% 222.99/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_1,
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_36_1, e1, e3, simplifying with (8768), (8770)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8772) all_36_1 = all_10_1
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8771), (8772) imply:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8773) all_10_1 = e2
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8773) implies:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8774) all_10_1 = e2
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (8775) all_55_9 = e3
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8580), (8775) imply:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (8776) all_52_19 = e3
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8776) implies:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (8777) all_52_19 = e3
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8574), (8777) imply:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (8778) op(e3, e3) = e2
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8779) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (228), (229),
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8334), (8778), (8779), (function-axioms) are
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1677.
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8780) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8780) gives:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8781) all_57_4 = e1 & op(e3, e1) = e1
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8688), (8781) are inconsistent by sub-proof
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2452.
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8782) all_57_9 = e1 & op(e3, e0) = e1
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8782) implies:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8783) all_57_9 = e1
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (237),
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8688), (8778), (8783), (function-axioms) are
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1604.
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (8784) all_55_9 = e2 | all_55_9 = e1 | all_55_9 = e0
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8334), (8574), (8580), (8589), (8700), (8784),
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | #1602.
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8785) ~ (all_36_1 = e2) & op(e3, e1) = all_36_1 &
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8689), (8785), (function-axioms) are inconsistent
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #307.
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | (8786) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8786) gives:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | (8787) all_57_4 = e0 & op(e3, e1) = e0
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8787) implies:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | (8788) all_57_4 = e0
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8688), (8788) are inconsistent by sub-proof
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | #2441.
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | (8789) all_57_9 = e0 & op(e3, e0) = e0
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8789) implies:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | (8790) op(e3, e0) = e0
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8601), (8790), (function-axioms) are
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #313.
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | (8791) all_57_9 = e2 & op(e3, e0) = e2
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8601), (8791), (function-axioms) are
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #306.
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.92 | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | (8792) ~ (all_55_3 = e3)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | REDUCE: (268), (8792) imply:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | (8793) ~ (all_53_12 = e3)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | (8794) (all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 =
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8794) gives:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | (8795) all_57_9 = e3 & op(e3, e0) = e3
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8795) implies:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | (8796) op(e3, e0) = e3
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8793), (8796), (function-axioms) are
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2458.
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | (8797) all_57_10 = e3 & op(e2, e0) = e3
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8797) implies:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | (8798) all_57_10 = e3
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | (8799) op(e2, e0) = e3
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_13,
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | e3, e0, e2, simplifying with (165), (8799) gives:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | (8800) all_53_13 = e3
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (8591), (8800) imply:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | (8801) ~ (all_52_23 = e3)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | SIMP: (8801) implies:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | (8802) ~ (all_52_23 = e3)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | (8803) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8803) gives:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | (8804) all_57_2 = e2 & op(e2, e3) = e2
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8804) implies:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | (8805) all_57_2 = e2
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | (8806) op(e2, e3) = e2
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | (8807) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8334), (8805), (8807),
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | #661.
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | (8808) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8808) gives:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8809) all_57_5 = e0 & op(e2, e1) = e0
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8809) implies:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8810) op(e2, e1) = e0
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_9, e0,
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (166), (8810) gives:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8811) all_53_9 = e0
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_1, e2,
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (168), (8806) gives:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8812) all_53_1 = e2
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (8812) imply:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8813) ~ (all_53_3 = e2)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8813) implies:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8814) ~ (all_53_3 = e2)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8582), (8812) imply:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8815) ~ (all_52_17 = e2)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8815) implies:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8816) ~ (all_52_17 = e2)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (124), (8811) imply:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8817) ~ (all_53_8 = e0)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (8811) imply:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8818) ~ (all_53_11 = e0)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8818) implies:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | (8819) ~ (all_53_11 = e0)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8337) gives:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (8820) ~ (all_26_0 = e3) & op(all_26_1, e2) = all_26_0 &
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_26_1 & $i(all_26_0) &
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8820) implies:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (8821) ~ (all_26_0 = e3)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (8822) op(e2, e1) = all_26_1
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (8823) op(all_26_1, e2) = all_26_0
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_26_1,
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (8810), (8822) gives:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (8824) all_26_1 = e0
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8823), (8824) imply:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (8825) op(e0, e2) = all_26_0
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_7,
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_0, e2, e0, simplifying with (159), (8825)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (8826) all_53_7 = all_26_0
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (8826) imply:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (8827) all_55_13 = all_26_0
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (8826) imply:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (8828) ~ (all_53_4 = all_26_0)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (8826) imply:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (8829) ~ (all_53_11 = all_26_0)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8829) implies:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (8830) ~ (all_53_11 = all_26_0)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8588), (8826) imply:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (8831) ~ (all_52_19 = all_26_0)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8831) implies:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (8832) ~ (all_52_19 = all_26_0)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8330), (8826) imply:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (8833) ~ (all_26_0 = e1)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8834) all_55_2 = e3
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (8834) imply:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8835) all_53_8 = e3
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8835) implies:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8836) all_53_8 = e3
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (8836) imply:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8837) ~ (all_53_4 = e3)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (8836) imply:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8838) ~ (all_53_11 = e3)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8838) implies:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8839) ~ (all_53_11 = e3)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8840) all_55_14 = e3
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (245), (8839), (8840) are inconsistent by
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2294.
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8841) all_55_14 = e2 | all_55_14 = e1 | all_55_14 = e0
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8841) gives:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8842) all_55_14 = e2
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (8842) imply:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8843) all_53_11 = e2
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8843) implies:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8844) all_53_11 = e2
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8830), (8844) imply:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8845) ~ (all_26_0 = e2)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8845) implies:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8846) ~ (all_26_0 = e2)
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8847) all_55_13 = e3
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8827), (8847) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8848) all_26_0 = e3
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8821), (8848) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8849) $false
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8849) is inconsistent.
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8850) all_55_13 = e2 | all_55_13 = e1 | all_55_13 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8850) gives:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8851) all_55_13 = e2
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8827), (8851) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8852) all_26_0 = e2
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8852) implies:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8853) all_26_0 = e2
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8846), (8853) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8854) $false
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8854) is inconsistent.
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8855) all_55_13 = e1 | all_55_13 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8855) gives:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8856) all_55_13 = e1
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8827), (8856) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8857) all_26_0 = e1
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8857) implies:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8858) all_26_0 = e1
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8833), (8858) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8859) $false
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8859) is inconsistent.
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8860) all_55_13 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8827), (8860) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8861) all_26_0 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8861) implies:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8862) all_26_0 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8828), (8862) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8863) ~ (all_53_4 = e0)
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8832), (8862) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8864) ~ (all_52_19 = e0)
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8865) all_55_1 = e3
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (8837), (8865) are inconsistent by
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2295.
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8866) all_55_1 = e2 | all_55_1 = e1 | all_55_1 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8866) gives:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8867) all_55_1 = e2
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (8867) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8868) all_53_4 = e2
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8868) implies:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8869) all_53_4 = e2
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8586), (8869) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8870) ~ (all_52_19 = e2)
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8870) implies:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8871) ~ (all_52_19 = e2)
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (196), (7582), (8574), (8580), (8589),
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8864), (8871), (function-axioms) are inconsistent
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #358.
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8872) all_55_1 = e1 | all_55_1 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (7576), (8863), (8872) are inconsistent by
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1730.
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8873) all_55_14 = e1 | all_55_14 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (245), (8564), (8819), (8873) are inconsistent by
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1720.
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8874) all_55_2 = e2 | all_55_2 = e1 | all_55_2 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8874) gives:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8875) all_55_2 = e2
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (8875) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8876) all_53_8 = e2
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8876) implies:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8877) all_53_8 = e2
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (8877) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8878) ~ (all_53_11 = e2)
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8878) implies:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8879) ~ (all_53_11 = e2)
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8880) all_55_14 = e3
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (8880) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8881) all_53_11 = e3
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (8881) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8882) ~ (all_53_3 = e3)
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8883) all_55_12 = e3
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (8882), (8883) are inconsistent by
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2001.
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8884) all_55_12 = e2 | all_55_12 = e1 | all_55_12 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8884) gives:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8885) all_55_12 = e2
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (8814), (8885) are inconsistent by
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1337.
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8886) all_55_12 = e1 | all_55_12 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (197), (247), (7575), (7582), (8575), (8581),
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8584), (8585), (8816), (8886), (function-axioms)
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #311.
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8887) all_55_14 = e2 | all_55_14 = e1 | all_55_14 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (245), (8564), (8819), (8879), (8887) are
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1719.
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8888) all_55_2 = e1 | all_55_2 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (7577), (8817), (8888) are inconsistent by
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2030.
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (8889) ~ (all_26_1 = e0) & op(e2, e1) = all_26_1 &
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8326), (8810), (8889), (function-axioms) are
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1710.
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | (8890) all_57_10 = e0 & op(e2, e0) = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8890) implies:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | (8891) all_57_10 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8798), (8891) are inconsistent by sub-proof
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | #1989.
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | (8892) all_57_3 = e2 & op(e2, e2) = e2
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8892) implies:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | (8893) op(e2, e2) = e2
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8334), (8893), (function-axioms) are
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | (8894) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8894) gives:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | (8895) all_57_5 = e2 & op(e2, e1) = e2
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8895) implies:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | (8896) all_57_5 = e2
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | (8897) op(e2, e1) = e2
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | (8898) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8898) gives:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | (8899) all_57_2 = e0 & op(e2, e3) = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8899) implies:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | (8900) op(e2, e3) = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_9, e2,
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (166), (8897) gives:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | (8901) all_53_9 = e2
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_1, e0,
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (168), (8900) gives:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | (8902) all_53_1 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8582), (8902) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | (8903) ~ (all_52_17 = e0)
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8903) implies:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | (8904) ~ (all_52_17 = e0)
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (124), (8901) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | (8905) ~ (all_53_8 = e2)
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (8901) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | (8906) ~ (all_53_11 = e2)
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8906) implies:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | (8907) ~ (all_53_11 = e2)
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (8908) all_55_2 = e3
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (8908) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (8909) all_53_8 = e3
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8909) implies:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (8910) all_53_8 = e3
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (8910) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (8911) ~ (all_53_4 = e3)
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (8910) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (8912) ~ (all_53_11 = e3)
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8912) implies:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (8913) ~ (all_53_11 = e3)
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8914) all_55_14 = e3
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (8914) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8915) all_53_11 = e3
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8913), (8915) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8916) $false
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8916) is inconsistent.
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8917) all_55_14 = e2 | all_55_14 = e1 | all_55_14 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8917) gives:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8918) all_55_14 = e2
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (8918) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8919) all_53_11 = e2
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8907), (8919) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8920) $false
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8920) is inconsistent.
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8921) all_55_14 = e1 | all_55_14 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8921) gives:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8922) all_55_14 = e1
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (245), (8564), (8922) are inconsistent by
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2165.
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8923) all_55_14 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (8923) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8924) all_53_11 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8924) implies:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8925) all_53_11 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (8925) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8926) ~ (all_53_3 = e0)
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (8925) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8927) ~ (all_53_7 = e0)
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8928) all_55_13 = e3
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (8928) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8929) all_53_7 = e3
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (8929) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8930) ~ (all_53_3 = e3)
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8931) all_55_12 = e3
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (8930), (8931) are inconsistent by
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2001.
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8932) all_55_12 = e2 | all_55_12 = e1 | all_55_12 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8932) gives:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8933) all_55_12 = e2
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (8933) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8934) all_53_3 = e2
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8584), (8934) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8935) ~ (all_52_17 = e2)
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8935) implies:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8936) ~ (all_52_17 = e2)
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (197), (7582), (8575), (8581), (8585), (8904),
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8936), (function-axioms) are inconsistent by
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #312.
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8937) all_55_12 = e1 | all_55_12 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (7575), (8926), (8937) are inconsistent by
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1992.
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8938) all_55_13 = e2 | all_55_13 = e1 | all_55_13 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (136), (196), (204), (246), (270), (7576), (7582),
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8330), (8574), (8580), (8586), (8588), (8589),
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8911), (8927), (8938), (function-axioms) are
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #308.
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (8939) all_55_2 = e2 | all_55_2 = e1 | all_55_2 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8939) gives:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8940) all_55_2 = e2
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (8905), (8940) are inconsistent by
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2027.
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8941) all_55_2 = e1 | all_55_2 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8941) gives:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8942) all_55_2 = e1
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (7577), (8942) are inconsistent by
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2032.
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8943) all_55_2 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (8943) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8944) all_53_8 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8944) implies:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8945) all_53_8 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (8945) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8946) ~ (all_53_12 = e0)
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8946) implies:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8947) ~ (all_53_12 = e0)
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (194), (202), (268), (7578), (8556), (8573),
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8579), (8590), (8592), (8793), (8802), (8947),
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1913.
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | (8948) all_57_3 = e0 & op(e2, e2) = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8948) implies:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | (8949) op(e2, e2) = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8334), (8949), (function-axioms) are
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | (8950) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8950) gives:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | (8951) all_57_5 = e0 & op(e2, e1) = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8951) implies:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | (8952) all_57_5 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8896), (8952) are inconsistent by sub-proof
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | #2363.
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | (8953) all_57_10 = e0 & op(e2, e0) = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8953) implies:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | (8954) all_57_10 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8798), (8954) are inconsistent by sub-proof
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | | #1989.
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | (8955) all_57_10 = e2 & op(e2, e0) = e2
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8798), (8955) are inconsistent by sub-proof
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | | #2250.
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | (8956) (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 =
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8956) gives:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | (8957) all_57_11 = e3 & op(e1, e0) = e3
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8957) implies:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | (8958) op(e1, e0) = e3
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_23,
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | e3, e0, e1, simplifying with (8570), (8958) gives:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | (8959) all_52_23 = e3
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (8573), (8959) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | (8960) op(e3, e3) = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e0, e3,
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (7582), (8960) gives:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | (8961) e1 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7581), (8961) imply:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | (8962) all_57_0 = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (39), (160), (168), (195), (232), (336),
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | (374), (7573), (7575), (8572), (8575), (8962),
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | #1545.
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | (8963) all_57_15 = e3 & op(e0, e0) = e3
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8963) implies:
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | (8964) op(e0, e0) = e3
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8556), (8964), (function-axioms) are
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2183.
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | (8965) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 223.06/37.93 | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 223.06/37.93 | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.06/37.93 | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 223.06/37.93 | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 223.06/37.93 | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 223.06/37.93 | | | | | | | | | | | | | | | | | $i(all_52_31)
% 223.06/37.93 | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | ALPHA: (8965) implies:
% 223.06/37.93 | | | | | | | | | | | | | | | | | (8966) op(e0, e0) = all_52_31
% 223.06/37.93 | | | | | | | | | | | | | | | | | (8967) op(all_52_31, all_52_31) = e0
% 223.06/37.93 | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (8339), (8556), (8966), (8967),
% 223.06/37.93 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.06/37.93 | | | | | | | | | | | | | | | | | #2086.
% 223.06/37.93 | | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | (8968) all_57_11 = e1 & op(e1, e0) = e1
% 223.06/37.93 | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | REF_CLOSE: (161), (8554), (8968), (function-axioms) are
% 223.06/37.93 | | | | | | | | | | | | | | | inconsistent by sub-proof #305.
% 223.06/37.93 | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | (8969) all_24_2 = e0
% 223.06/37.93 | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | COMBINE_EQS: (315), (8969) imply:
% 223.06/37.93 | | | | | | | | | | | | (8970) all_6_2 = e0
% 223.06/37.93 | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | REDUCE: (350), (8970) imply:
% 223.06/37.93 | | | | | | | | | | | | (8971) ~ (all_53_2 = e0)
% 223.06/37.93 | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | REDUCE: (361), (8970) imply:
% 223.06/37.93 | | | | | | | | | | | | (8972) ~ (all_53_6 = e0)
% 223.06/37.93 | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | REDUCE: (363), (8970) imply:
% 223.06/37.93 | | | | | | | | | | | | (8973) ~ (all_53_8 = e0)
% 223.06/37.93 | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | REDUCE: (368), (8970) imply:
% 223.06/37.93 | | | | | | | | | | | | (8974) ~ (all_53_14 = e0)
% 223.06/37.93 | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | BETA: splitting (214) gives:
% 223.06/37.93 | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | Case 1:
% 223.06/37.93 | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | (8975) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 223.06/37.93 | | | | | | | | | | | | | & op(e1, e2) = e0)
% 223.06/37.93 | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | REF_CLOSE: (163), (164), (8971), (8972), (8975),
% 223.06/37.93 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.06/37.93 | | | | | | | | | | | | | #2038.
% 223.06/37.93 | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | (8976) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 223.06/37.93 | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 223.06/37.93 | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | BETA: splitting (8976) gives:
% 223.06/37.93 | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | Case 1:
% 223.06/37.93 | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | (8977) all_57_8 = e0 & op(e1, e1) = e0
% 223.06/37.93 | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | ALPHA: (8977) implies:
% 223.06/37.93 | | | | | | | | | | | | | | (8978) all_57_8 = e0
% 223.06/37.93 | | | | | | | | | | | | | | (8979) op(e1, e1) = e0
% 223.06/37.93 | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 223.06/37.93 | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | Case 1:
% 223.06/37.93 | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | (8980) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 223.06/37.93 | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 223.06/37.93 | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | BETA: splitting (8980) gives:
% 223.06/37.93 | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | Case 1:
% 223.06/37.93 | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | (8981) all_57_6 = e1 & op(e1, e3) = e1
% 223.06/37.93 | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7574), (8981), (function-axioms) are
% 223.06/37.93 | | | | | | | | | | | | | | | | inconsistent by sub-proof #316.
% 223.06/37.93 | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | (8982) all_57_7 = e1 & op(e1, e2) = e1
% 223.06/37.93 | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8329), (8982), (function-axioms) are
% 223.06/37.93 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2265.
% 223.06/37.93 | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | End of split
% 223.06/37.93 | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | Case 2:
% 223.06/37.93 | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | (8983) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 223.06/37.93 | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 223.06/37.93 | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | BETA: splitting (8983) gives:
% 223.06/37.93 | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | Case 1:
% 223.06/37.93 | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | (8984) all_57_8 = e1 & op(e1, e1) = e1
% 223.06/37.93 | | | | | | | | | | | | | | | |
% 223.06/37.93 | | | | | | | | | | | | | | | | ALPHA: (8984) implies:
% 223.06/37.94 | | | | | | | | | | | | | | | | (8985) op(e1, e1) = e1
% 223.06/37.94 | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8979), (8985), (function-axioms) are
% 223.06/37.94 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2427.
% 223.06/37.94 | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | Case 2:
% 223.06/37.94 | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | (8986) all_57_11 = e1 & op(e1, e0) = e1
% 223.06/37.94 | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | ALPHA: (8986) implies:
% 223.06/37.94 | | | | | | | | | | | | | | | | (8987) all_57_11 = e1
% 223.06/37.94 | | | | | | | | | | | | | | | | (8988) op(e1, e0) = e1
% 223.06/37.94 | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 223.06/37.94 | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.94 | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | (8989) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 223.06/37.94 | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 223.06/37.94 | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | BETA: splitting (8989) gives:
% 223.06/37.94 | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.94 | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | (8990) all_57_4 = e1 & op(e3, e1) = e1
% 223.06/37.94 | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | ALPHA: (8990) implies:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | (8991) op(e3, e1) = e1
% 223.06/37.94 | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_8, e1,
% 223.06/37.94 | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (170), (8991) gives:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | (8992) all_53_8 = e1
% 223.06/37.94 | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | REDUCE: (7577), (8992) imply:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | (8993) $false
% 223.06/37.94 | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | CLOSE: (8993) is inconsistent.
% 223.06/37.94 | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.94 | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | (8994) all_57_5 = e1 & op(e2, e1) = e1
% 223.06/37.94 | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (8331), (8994), (function-axioms) are
% 223.06/37.94 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2305.
% 223.06/37.94 | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | End of split
% 223.06/37.94 | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.94 | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | (8995) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 223.06/37.94 | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 223.06/37.94 | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | BETA: splitting (8995) gives:
% 223.06/37.94 | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.94 | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | (8996) all_57_8 = e1 & op(e1, e1) = e1
% 223.06/37.94 | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | ALPHA: (8996) implies:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | (8997) op(e1, e1) = e1
% 223.06/37.94 | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8979), (8997), (function-axioms) are
% 223.06/37.94 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2427.
% 223.06/37.94 | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.94 | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | (8998) all_57_14 = e1 & op(e0, e1) = e1
% 223.06/37.94 | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | ALPHA: (8998) implies:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | (8999) op(e0, e1) = e1
% 223.06/37.94 | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_11,
% 223.06/37.94 | | | | | | | | | | | | | | | | | | e1, e1, e0, simplifying with (158), (8999) gives:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | (9000) all_53_11 = e1
% 223.06/37.94 | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_14,
% 223.06/37.94 | | | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (161), (8988) gives:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | (9001) all_53_14 = e1
% 223.06/37.94 | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | REDUCE: (372), (9001) imply:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | (9002) ~ (all_4_2 = e1)
% 223.06/37.94 | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | SIMP: (9002) implies:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | (9003) ~ (all_4_2 = e1)
% 223.06/37.94 | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 223.06/37.94 | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | (9004) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 223.06/37.94 | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | BETA: splitting (9004) gives:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | (9005) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | ALPHA: (9005) implies:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | (9006) op(e3, e2) = all_52_3
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | (9007) op(all_52_3, all_52_3) = e2
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | (9008) all_55_15 = e3
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (7584), (9008) are inconsistent by
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | sub-proof #2503.
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | (9009) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9009) gives:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | (9010) all_55_15 = e2
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (9010) are inconsistent by sub-proof
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | #2502.
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | (9011) ~ (all_55_15 = e2)
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | (9012) all_55_15 = e1 | all_55_15 = e0
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9012) gives:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | (9013) all_55_15 = e1
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (9003), (9013) are inconsistent by
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2501.
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | (9014) all_55_15 = e0
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (9014) imply:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | (9015) all_4_2 = e0
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9015) implies:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | (9016) all_4_2 = e0
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (9016) imply:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | (9017) ~ (all_53_12 = e0)
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (9016) imply:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | (9018) ~ (e2 = e0)
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9003), (9016) imply:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | (9019) ~ (e1 = e0)
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (9016) imply:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | (9020) op(e0, e0) = e0
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | | (9021) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9021) gives:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | (9022) all_57_0 = e0 & op(e3, e3) = e0
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9022) implies:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | (9023) all_57_0 = e0
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (39), (160), (168),
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (232), (374), (7573), (7575),
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | (8978), (8987), (9023), (function-axioms) are
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1678.
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | (9024) all_57_1 = e0 & op(e3, e2) = e0
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9024) implies:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | (9025) op(e3, e2) = e0
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9006), (9007), (9020), (9025),
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | #2399.
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | | (9026) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (170), (8973), (9017), (9026),
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | | #1544.
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | (9027) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | ALPHA: (9027) implies:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | (9028) op(e2, e2) = all_52_11
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | (9029) op(all_52_11, all_52_11) = e2
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8334), (8979), (9028), (9029),
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | #1843.
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | End of split
% 223.06/37.94 | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | Case 2:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | (9030) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 223.06/37.94 | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | BETA: splitting (9030) gives:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | (9031) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | |
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | ALPHA: (9031) implies:
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | (9032) op(e1, e1) = all_52_21
% 223.06/37.94 | | | | | | | | | | | | | | | | | | | | (9033) op(e1, e2) = all_52_19
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | (9034) op(all_52_21, all_52_21) = e1
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | (9035) op(all_52_19, all_52_19) = e2
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (159), (161), (165), (169), (171), (190),
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | (207), (226), (244), (362), (370), (371), (372),
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | (373), (7576), (7584), (8334), (8979), (9003),
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | (9032), (9033), (9034), (9035), (function-axioms)
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1838.
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | (9036) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | ALPHA: (9036) implies:
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | (9037) op(e0, e1) = all_52_29
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | (9038) op(all_52_29, all_52_29) = e1
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | (9039) all_55_15 = e3
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (7584), (9039) are inconsistent by
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | sub-proof #2503.
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | (9040) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9040) gives:
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | (9041) all_55_15 = e2
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (9041) are inconsistent by sub-proof
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | #2502.
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | (9042) ~ (all_55_15 = e2)
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | (9043) all_55_15 = e1 | all_55_15 = e0
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9043) gives:
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | (9044) all_55_15 = e1
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (9003), (9044) are inconsistent by
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2501.
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | (9045) all_55_15 = e0
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (9045) imply:
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | (9046) all_4_2 = e0
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9046) implies:
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | (9047) all_4_2 = e0
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (9047) imply:
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | (9048) ~ (all_53_12 = e0)
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (9047) imply:
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | (9049) ~ (e2 = e0)
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9003), (9047) imply:
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | (9050) ~ (e1 = e0)
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | (9051) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9051) gives:
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | (9052) all_57_0 = e0 & op(e3, e3) = e0
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9052) implies:
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | (9053) all_57_0 = e0
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (39), (160), (168),
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (232), (374), (7573), (7575),
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | (8978), (8987), (9053), (function-axioms) are
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1678.
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | (9054) all_57_1 = e0 & op(e3, e2) = e0
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9054) implies:
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | (9055) op(e3, e2) = e0
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29, e1, e0, simplifying with (8999), (9037)
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | (9056) all_52_29 = e1
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_4, e0,
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (171), (9055) gives:
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | (9057) all_53_4 = e0
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9038), (9056) imply:
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | (9058) op(e1, e1) = e1
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8979), (9058), (function-axioms) are
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2427.
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | (9059) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (170), (8973), (9048), (9059),
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | | #1544.
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.94 | | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.94 | | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | End of split
% 223.10/37.94 | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | End of split
% 223.10/37.94 | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | End of split
% 223.10/37.94 | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | End of split
% 223.10/37.94 | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | Case 2:
% 223.10/37.94 | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | (9060) all_57_11 = e0 & op(e1, e0) = e0
% 223.10/37.94 | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | REF_CLOSE: (161), (8974), (9060), (function-axioms) are
% 223.10/37.94 | | | | | | | | | | | | | | inconsistent by sub-proof #2341.
% 223.10/37.94 | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | End of split
% 223.10/37.94 | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | End of split
% 223.10/37.94 | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | End of split
% 223.10/37.94 | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | End of split
% 223.10/37.94 | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | End of split
% 223.10/37.94 | | | | | | | | |
% 223.10/37.94 | | | | | | | | Case 2:
% 223.10/37.94 | | | | | | | | |
% 223.10/37.94 | | | | | | | | | (9061) all_14_2 = e0
% 223.10/37.94 | | | | | | | | |
% 223.10/37.94 | | | | | | | | | COMBINE_EQS: (328), (9061) imply:
% 223.10/37.94 | | | | | | | | | (9062) all_8_2 = e0
% 223.10/37.94 | | | | | | | | |
% 223.10/37.94 | | | | | | | | | SIMP: (9062) implies:
% 223.10/37.94 | | | | | | | | | (9063) all_8_2 = e0
% 223.10/37.94 | | | | | | | | |
% 223.10/37.94 | | | | | | | | | REDUCE: (349), (9063) imply:
% 223.10/37.94 | | | | | | | | | (9064) ~ (all_53_1 = e0)
% 223.10/37.94 | | | | | | | | |
% 223.10/37.94 | | | | | | | | | REDUCE: (352), (9063) imply:
% 223.10/37.94 | | | | | | | | | (9065) ~ (all_53_4 = e0)
% 223.10/37.94 | | | | | | | | |
% 223.10/37.94 | | | | | | | | | REDUCE: (354), (9063) imply:
% 223.10/37.94 | | | | | | | | | (9066) ~ (all_53_6 = e0)
% 223.10/37.94 | | | | | | | | |
% 223.10/37.94 | | | | | | | | | REDUCE: (358), (9063) imply:
% 223.10/37.94 | | | | | | | | | (9067) ~ (all_53_9 = e0)
% 223.10/37.94 | | | | | | | | |
% 223.10/37.94 | | | | | | | | | REDUCE: (360), (9063) imply:
% 223.10/37.94 | | | | | | | | | (9068) ~ (all_53_13 = e0)
% 223.10/37.94 | | | | | | | | |
% 223.10/37.94 | | | | | | | | | BETA: splitting (222) gives:
% 223.10/37.94 | | | | | | | | |
% 223.10/37.94 | | | | | | | | | Case 1:
% 223.10/37.94 | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | (9069) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 223.10/37.94 | | | | | | | | | | & op(e2, e2) = e0)
% 223.10/37.94 | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | BETA: splitting (9069) gives:
% 223.10/37.94 | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | Case 1:
% 223.10/37.94 | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | (9070) all_57_2 = e0 & op(e2, e3) = e0
% 223.10/37.94 | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | ALPHA: (9070) implies:
% 223.10/37.94 | | | | | | | | | | | (9071) op(e2, e3) = e0
% 223.10/37.94 | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | REF_CLOSE: (168), (9064), (9071), (function-axioms) are
% 223.10/37.94 | | | | | | | | | | | inconsistent by sub-proof #1943.
% 223.10/37.94 | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | Case 2:
% 223.10/37.94 | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | (9072) all_57_3 = e0 & op(e2, e2) = e0
% 223.10/37.94 | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | ALPHA: (9072) implies:
% 223.10/37.94 | | | | | | | | | | | (9073) all_57_3 = e0
% 223.10/37.94 | | | | | | | | | | | (9074) op(e2, e2) = e0
% 223.10/37.94 | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | BETA: splitting (67) gives:
% 223.10/37.94 | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | Case 1:
% 223.10/37.94 | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | (9075) ~ (all_24_2 = e0)
% 223.10/37.94 | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | REDUCE: (315), (9075) imply:
% 223.10/37.94 | | | | | | | | | | | | (9076) ~ (all_6_2 = e0)
% 223.10/37.94 | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | BETA: splitting (76) gives:
% 223.10/37.94 | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | Case 1:
% 223.10/37.94 | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | (9077) ~ (all_30_2 = e1)
% 223.10/37.94 | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | REDUCE: (330), (9077) imply:
% 223.10/37.94 | | | | | | | | | | | | | (9078) ~ (all_4_2 = e1)
% 223.10/37.94 | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | BETA: splitting (190) gives:
% 223.10/37.94 | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | Case 1:
% 223.10/37.94 | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | (9079) all_55_15 = e3
% 223.10/37.94 | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | REF_CLOSE: (244), (7584), (9079) are inconsistent by
% 223.10/37.94 | | | | | | | | | | | | | | sub-proof #2503.
% 223.10/37.94 | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | Case 2:
% 223.10/37.94 | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | (9080) ~ (all_55_15 = e3)
% 223.10/37.94 | | | | | | | | | | | | | | (9081) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 223.10/37.94 | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | BETA: splitting (9081) gives:
% 223.10/37.94 | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | Case 1:
% 223.10/37.94 | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | (9082) all_55_15 = e2
% 223.10/37.94 | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (9082) are inconsistent by sub-proof
% 223.10/37.94 | | | | | | | | | | | | | | | #2502.
% 223.10/37.94 | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | Case 2:
% 223.10/37.94 | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | (9083) ~ (all_55_15 = e2)
% 223.10/37.94 | | | | | | | | | | | | | | | (9084) all_55_15 = e1 | all_55_15 = e0
% 223.10/37.94 | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | BETA: splitting (9084) gives:
% 223.10/37.94 | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | Case 1:
% 223.10/37.94 | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | (9085) all_55_15 = e1
% 223.10/37.94 | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | REF_CLOSE: (244), (9078), (9085) are inconsistent by
% 223.10/37.94 | | | | | | | | | | | | | | | | sub-proof #2501.
% 223.10/37.94 | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | Case 2:
% 223.10/37.94 | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | (9086) all_55_15 = e0
% 223.10/37.94 | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (9086) imply:
% 223.10/37.94 | | | | | | | | | | | | | | | | (9087) all_4_2 = e0
% 223.10/37.94 | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | SIMP: (9087) implies:
% 223.10/37.94 | | | | | | | | | | | | | | | | (9088) all_4_2 = e0
% 223.10/37.94 | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | REDUCE: (370), (9088) imply:
% 223.10/37.94 | | | | | | | | | | | | | | | | (9089) ~ (all_53_12 = e0)
% 223.10/37.94 | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | REDUCE: (372), (9088) imply:
% 223.10/37.94 | | | | | | | | | | | | | | | | (9090) ~ (all_53_14 = e0)
% 223.10/37.94 | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | REDUCE: (7584), (9088) imply:
% 223.10/37.94 | | | | | | | | | | | | | | | | (9091) ~ (e3 = e0)
% 223.10/37.94 | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | REDUCE: (373), (9088) imply:
% 223.10/37.94 | | | | | | | | | | | | | | | | (9092) ~ (e2 = e0)
% 223.10/37.94 | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | REDUCE: (9078), (9088) imply:
% 223.10/37.94 | | | | | | | | | | | | | | | | (9093) ~ (e1 = e0)
% 223.10/37.94 | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 223.10/37.94 | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.94 | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | (9094) all_57_15 = e0 & op(e0, e0) = e0
% 223.10/37.94 | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | ALPHA: (9094) implies:
% 223.10/37.94 | | | | | | | | | | | | | | | | | (9095) all_57_15 = e0
% 223.10/37.94 | | | | | | | | | | | | | | | | | (9096) op(e0, e0) = e0
% 223.10/37.94 | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (85), (107),
% 223.10/37.94 | | | | | | | | | | | | | | | | | (145), (160), (161), (163), (164), (166), (170),
% 223.10/37.94 | | | | | | | | | | | | | | | | | (193), (208), (209), (210), (214), (218), (247),
% 223.10/37.94 | | | | | | | | | | | | | | | | | (7571), (7572), (7575), (7577), (7582), (9066),
% 223.10/37.94 | | | | | | | | | | | | | | | | | (9067), (9074), (9076), (9090), (9095), (9096),
% 223.10/37.94 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/37.94 | | | | | | | | | | | | | | | | | #300.
% 223.10/37.94 | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.94 | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | (9097) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 223.10/37.94 | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 223.10/37.94 | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 223.10/37.94 | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 223.10/37.94 | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 223.10/37.94 | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (165), (169), (9068), (9089), (9090),
% 223.10/37.94 | | | | | | | | | | | | | | | | | (9097), (function-axioms) are inconsistent by
% 223.10/37.94 | | | | | | | | | | | | | | | | | sub-proof #2112.
% 223.10/37.94 | | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | | End of split
% 223.10/37.94 | | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | | End of split
% 223.10/37.94 | | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | End of split
% 223.10/37.94 | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | End of split
% 223.10/37.94 | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | Case 2:
% 223.10/37.94 | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | (9098) all_30_2 = e1
% 223.10/37.94 | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | COMBINE_EQS: (330), (9098) imply:
% 223.10/37.94 | | | | | | | | | | | | | (9099) all_4_2 = e1
% 223.10/37.94 | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | SIMP: (9099) implies:
% 223.10/37.94 | | | | | | | | | | | | | (9100) all_4_2 = e1
% 223.10/37.94 | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | REDUCE: (371), (9100) imply:
% 223.10/37.94 | | | | | | | | | | | | | (9101) ~ (all_53_13 = e1)
% 223.10/37.94 | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | REDUCE: (373), (9100) imply:
% 223.10/37.94 | | | | | | | | | | | | | (9102) ~ (e2 = e1)
% 223.10/37.94 | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | REDUCE: (36), (9100) imply:
% 223.10/37.94 | | | | | | | | | | | | | (9103) op(e0, e0) = e1
% 223.10/37.94 | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | BETA: splitting (107) gives:
% 223.10/37.94 | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | Case 1:
% 223.10/37.94 | | | | | | | | | | | | | |
% 223.10/37.94 | | | | | | | | | | | | | | (9104) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.10/37.94 | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.10/37.94 | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.10/37.94 | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.10/37.94 | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.10/37.94 | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.10/37.94 | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.10/37.94 | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 223.10/37.94 | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 223.10/37.94 | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 223.10/37.94 | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 223.10/37.94 | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 223.10/37.94 | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 223.10/37.94 | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 223.10/37.94 | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 223.10/37.95 | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | BETA: splitting (9104) gives:
% 223.10/37.95 | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | Case 1:
% 223.10/37.95 | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | (9105) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.10/37.95 | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.10/37.95 | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.10/37.95 | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.10/37.95 | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.10/37.95 | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.10/37.95 | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.10/37.95 | | | | | | | | | | | | | | | $i(all_52_7)
% 223.10/37.95 | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (7582), (9105), (function-axioms) are
% 223.10/37.95 | | | | | | | | | | | | | | | inconsistent by sub-proof #360.
% 223.10/37.95 | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | Case 2:
% 223.10/37.95 | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | (9106) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 223.10/37.95 | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 223.10/37.95 | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 223.10/37.95 | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 223.10/37.95 | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 223.10/37.95 | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 223.10/37.95 | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 223.10/37.95 | | | | | | | | | | | | | | | $i(all_52_15)
% 223.10/37.95 | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | REF_CLOSE: (6), (9074), (9103), (9106), (function-axioms) are
% 223.10/37.95 | | | | | | | | | | | | | | | inconsistent by sub-proof #1372.
% 223.10/37.95 | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | End of split
% 223.10/37.95 | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | Case 2:
% 223.10/37.95 | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | (9107) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 223.10/37.95 | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 223.10/37.95 | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.10/37.95 | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 223.10/37.95 | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 223.10/37.95 | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 223.10/37.95 | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 223.10/37.95 | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 223.10/37.95 | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 223.10/37.95 | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/37.95 | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/37.95 | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 223.10/37.95 | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 223.10/37.95 | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 223.10/37.95 | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 223.10/37.95 | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 223.10/37.95 | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | BETA: splitting (9107) gives:
% 223.10/37.95 | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | Case 1:
% 223.10/37.95 | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | (9108) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 223.10/37.95 | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 223.10/37.95 | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.10/37.95 | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 223.10/37.95 | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 223.10/37.95 | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 223.10/37.95 | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 223.10/37.95 | | | | | | | | | | | | | | | $i(all_52_23)
% 223.10/37.95 | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | ALPHA: (9108) implies:
% 223.10/37.95 | | | | | | | | | | | | | | | (9109) op(e1, e1) = all_52_21
% 223.10/37.95 | | | | | | | | | | | | | | | (9110) op(all_52_21, all_52_21) = e1
% 223.10/37.95 | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 223.10/37.95 | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | Case 1:
% 223.10/37.95 | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | (9111) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 223.10/37.95 | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 223.10/37.95 | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (168), (7573), (9074), (9111),
% 223.10/37.95 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/37.95 | | | | | | | | | | | | | | | | #299.
% 223.10/37.95 | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | Case 2:
% 223.10/37.95 | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | (9112) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 223.10/37.95 | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 223.10/37.95 | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | BETA: splitting (9112) gives:
% 223.10/37.95 | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.95 | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | (9113) all_57_5 = e1 & op(e2, e1) = e1
% 223.10/37.95 | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | ALPHA: (9113) implies:
% 223.10/37.95 | | | | | | | | | | | | | | | | | (9114) op(e2, e1) = e1
% 223.10/37.95 | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 223.10/37.95 | | | | | | | | | | | | | | | | | all_52_21, e1, e1, simplifying with (39), (9109)
% 223.10/37.95 | | | | | | | | | | | | | | | | | gives:
% 223.10/37.95 | | | | | | | | | | | | | | | | | (9115) all_52_21 = all_6_2
% 223.10/37.95 | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_9, e1,
% 223.10/37.95 | | | | | | | | | | | | | | | | | e1, e2, simplifying with (166), (9114) gives:
% 223.10/37.95 | | | | | | | | | | | | | | | | | (9116) all_53_9 = e1
% 223.10/37.95 | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | REDUCE: (364), (9116) imply:
% 223.10/37.95 | | | | | | | | | | | | | | | | | (9117) ~ (all_6_2 = e1)
% 223.10/37.95 | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | SIMP: (9117) implies:
% 223.10/37.95 | | | | | | | | | | | | | | | | | (9118) ~ (all_6_2 = e1)
% 223.10/37.95 | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | REDUCE: (9110), (9115) imply:
% 223.10/37.95 | | | | | | | | | | | | | | | | | (9119) op(all_6_2, all_6_2) = e1
% 223.10/37.95 | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 223.10/37.95 | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.95 | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | (9120) all_55_10 = e3
% 223.10/37.95 | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (374), (9120) are inconsistent by sub-proof
% 223.10/37.95 | | | | | | | | | | | | | | | | | | #2500.
% 223.10/37.95 | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.95 | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | (9121) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 223.10/37.95 | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | BETA: splitting (9121) gives:
% 223.10/37.95 | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | (9122) all_55_10 = e2
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (9122) imply:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | (9123) all_6_2 = e2
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | SIMP: (9123) implies:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | (9124) all_6_2 = e2
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | REDUCE: (9119), (9124) imply:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | (9125) op(e2, e2) = e1
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9074), (9125), (function-axioms) are
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | (9126) all_55_10 = e1 | all_55_10 = e0
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (9076), (9118), (9126) are inconsistent by
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | sub-proof #1685.
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.95 | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | End of split
% 223.10/37.95 | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.95 | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | (9127) all_57_10 = e1 & op(e2, e0) = e1
% 223.10/37.95 | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9101), (9127), (function-axioms) are
% 223.10/37.95 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2084.
% 223.10/37.95 | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | End of split
% 223.10/37.95 | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | End of split
% 223.10/37.95 | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | Case 2:
% 223.10/37.95 | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | (9128) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 223.10/37.95 | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/37.95 | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/37.95 | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 223.10/37.95 | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 223.10/37.95 | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 223.10/37.95 | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 223.10/37.95 | | | | | | | | | | | | | | | $i(all_52_31)
% 223.10/37.95 | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | ALPHA: (9128) implies:
% 223.10/37.95 | | | | | | | | | | | | | | | (9129) op(e0, e0) = all_52_31
% 223.10/37.95 | | | | | | | | | | | | | | | (9130) op(all_52_31, all_52_31) = e0
% 223.10/37.95 | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | REF_CLOSE: (39), (9076), (9103), (9129), (9130),
% 223.10/37.95 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/37.95 | | | | | | | | | | | | | | | #2086.
% 223.10/37.95 | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | End of split
% 223.10/37.95 | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | End of split
% 223.10/37.95 | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | End of split
% 223.10/37.95 | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | Case 2:
% 223.10/37.95 | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | (9131) all_24_2 = e0
% 223.10/37.95 | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | COMBINE_EQS: (315), (9131) imply:
% 223.10/37.95 | | | | | | | | | | | | (9132) all_6_2 = e0
% 223.10/37.95 | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | SIMP: (9132) implies:
% 223.10/37.95 | | | | | | | | | | | | (9133) all_6_2 = e0
% 223.10/37.95 | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | REDUCE: (350), (9133) imply:
% 223.10/37.95 | | | | | | | | | | | | (9134) ~ (all_53_2 = e0)
% 223.10/37.95 | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | REDUCE: (363), (9133) imply:
% 223.10/37.95 | | | | | | | | | | | | (9135) ~ (all_53_8 = e0)
% 223.10/37.95 | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | REDUCE: (374), (9133) imply:
% 223.10/37.95 | | | | | | | | | | | | (9136) ~ (e3 = e0)
% 223.10/37.95 | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | REDUCE: (39), (9133) imply:
% 223.10/37.95 | | | | | | | | | | | | (9137) op(e1, e1) = e0
% 223.10/37.95 | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | BETA: splitting (231) gives:
% 223.10/37.95 | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | Case 1:
% 223.10/37.95 | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | (9138) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 223.10/37.95 | | | | | | | | | | | | | & op(e3, e2) = e0)
% 223.10/37.95 | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | REF_CLOSE: (4), (171), (7581), (9065), (9138),
% 223.10/37.95 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/37.95 | | | | | | | | | | | | | #298.
% 223.10/37.95 | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | Case 2:
% 223.10/37.95 | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | (9139) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 223.10/37.95 | | | | | | | | | | | | | & op(e3, e0) = e0)
% 223.10/37.95 | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | BETA: splitting (9139) gives:
% 223.10/37.95 | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | Case 1:
% 223.10/37.95 | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | (9140) all_57_4 = e0 & op(e3, e1) = e0
% 223.10/37.95 | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | ALPHA: (9140) implies:
% 223.10/37.95 | | | | | | | | | | | | | | (9141) op(e3, e1) = e0
% 223.10/37.95 | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | REF_CLOSE: (170), (9135), (9141), (function-axioms) are
% 223.10/37.95 | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 223.10/37.95 | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | Case 2:
% 223.10/37.95 | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | (9142) all_57_9 = e0 & op(e3, e0) = e0
% 223.10/37.95 | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | ALPHA: (9142) implies:
% 223.10/37.95 | | | | | | | | | | | | | | (9143) all_57_9 = e0
% 223.10/37.95 | | | | | | | | | | | | | | (9144) op(e3, e0) = e0
% 223.10/37.95 | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 223.10/37.95 | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | Case 1:
% 223.10/37.95 | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | (9145) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 223.10/37.95 | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 223.10/37.95 | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 223.10/37.95 | | | | | | | | | | | | | | | (7581), (9073), (9145) are inconsistent by
% 223.10/37.95 | | | | | | | | | | | | | | | sub-proof #297.
% 223.10/37.95 | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | Case 2:
% 223.10/37.95 | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | (9146) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 223.10/37.95 | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 223.10/37.95 | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | BETA: splitting (9146) gives:
% 223.10/37.95 | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | Case 1:
% 223.10/37.95 | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | (9147) all_57_6 = e0 & op(e1, e3) = e0
% 223.10/37.95 | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | ALPHA: (9147) implies:
% 223.10/37.95 | | | | | | | | | | | | | | | | (9148) op(e1, e3) = e0
% 223.10/37.95 | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9134), (9148), (function-axioms) are
% 223.10/37.95 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2154.
% 223.10/37.95 | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | Case 2:
% 223.10/37.95 | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | (9149) all_57_12 = e0 & op(e0, e3) = e0
% 223.10/37.95 | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | ALPHA: (9149) implies:
% 223.10/37.95 | | | | | | | | | | | | | | | | (9150) op(e0, e3) = e0
% 223.10/37.95 | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_3, e0,
% 223.10/37.95 | | | | | | | | | | | | | | | | e3, e0, simplifying with (160), (9150) gives:
% 223.10/37.95 | | | | | | | | | | | | | | | | (9151) all_53_3 = e0
% 223.10/37.95 | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_12,
% 223.10/37.95 | | | | | | | | | | | | | | | | e0, e0, e3, simplifying with (169), (9144) gives:
% 223.10/37.95 | | | | | | | | | | | | | | | | (9152) all_53_12 = e0
% 223.10/37.95 | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | REDUCE: (370), (9152) imply:
% 223.10/37.95 | | | | | | | | | | | | | | | | (9153) ~ (all_4_2 = e0)
% 223.10/37.95 | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | SIMP: (9153) implies:
% 223.10/37.95 | | | | | | | | | | | | | | | | (9154) ~ (all_4_2 = e0)
% 223.10/37.95 | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 223.10/37.95 | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.95 | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | (9155) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.10/37.95 | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.10/37.95 | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.10/37.95 | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.10/37.95 | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.10/37.95 | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.10/37.95 | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.10/37.95 | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 223.10/37.95 | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 223.10/37.95 | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 223.10/37.95 | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 223.10/37.95 | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 223.10/37.95 | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 223.10/37.95 | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 223.10/37.95 | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 223.10/37.95 | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | BETA: splitting (9155) gives:
% 223.10/37.95 | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.95 | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | (9156) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.10/37.95 | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.10/37.95 | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.10/37.95 | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.10/37.95 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.10/37.95 | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.10/37.95 | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.10/37.95 | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 223.10/37.95 | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | ALPHA: (9156) implies:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | (9157) op(e3, e0) = all_52_7
% 223.10/37.95 | | | | | | | | | | | | | | | | | | (9158) op(all_52_7, all_52_7) = e0
% 223.10/37.95 | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 223.10/37.95 | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | (9159) all_55_15 = e3
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (7584), (9159) are inconsistent by
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | sub-proof #2503.
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | (9160) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | BETA: splitting (9160) gives:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | (9161) all_55_15 = e2
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (9161) are inconsistent by sub-proof
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | #2502.
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | (9162) all_55_15 = e1 | all_55_15 = e0
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (244), (9144), (9154), (9157), (9158),
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | (9162), (function-axioms) are inconsistent by
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | sub-proof #1325.
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.95 | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.95 | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | (9163) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 223.10/37.95 | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 223.10/37.95 | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 223.10/37.95 | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 223.10/37.95 | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 223.10/37.95 | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 223.10/37.95 | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 223.10/37.95 | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 223.10/37.95 | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | ALPHA: (9163) implies:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | (9164) op(e2, e2) = all_52_11
% 223.10/37.95 | | | | | | | | | | | | | | | | | | (9165) op(all_52_11, all_52_11) = e2
% 223.10/37.95 | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 223.10/37.95 | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | (9166) all_55_15 = e3
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (7584), (9166) are inconsistent by
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | sub-proof #2503.
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | (9167) ~ (all_55_15 = e3)
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | (9168) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | BETA: splitting (9168) gives:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | (9169) all_55_15 = e2
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (9169) are inconsistent by sub-proof
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | #2502.
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | (9170) all_55_15 = e1 | all_55_15 = e0
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (36), (165), (211), (212), (213),
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | (244), (371), (373), (7584), (9074), (9143),
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | (9154), (9164), (9165), (9170), (function-axioms)
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1323.
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.95 | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | End of split
% 223.10/37.95 | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.95 | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | (9171) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 223.10/37.95 | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 223.10/37.95 | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.10/37.95 | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 223.10/37.95 | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 223.10/37.95 | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 223.10/37.95 | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 223.10/37.95 | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 223.10/37.95 | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 223.10/37.95 | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/37.95 | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/37.95 | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 223.10/37.95 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 223.10/37.95 | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 223.10/37.95 | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 223.10/37.95 | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 223.10/37.95 | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | BETA: splitting (9171) gives:
% 223.10/37.95 | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.95 | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | (9172) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 223.10/37.95 | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 223.10/37.95 | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.10/37.95 | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 223.10/37.95 | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 223.10/37.95 | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 223.10/37.95 | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 223.10/37.95 | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 223.10/37.95 | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | ALPHA: (9172) implies:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | (9173) op(e1, e1) = all_52_21
% 223.10/37.95 | | | | | | | | | | | | | | | | | | (9174) op(e1, e2) = all_52_19
% 223.10/37.95 | | | | | | | | | | | | | | | | | | (9175) op(all_52_19, all_52_19) = e2
% 223.10/37.95 | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 223.10/37.95 | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | (9176) all_55_15 = e3
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (7584), (9176) are inconsistent by
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | sub-proof #2503.
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | (9177) ~ (all_55_15 = e3)
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | (9178) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | BETA: splitting (9178) gives:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | (9179) all_55_15 = e2
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (9179) are inconsistent by sub-proof
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | #2502.
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | (9180) ~ (all_55_15 = e2)
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | (9181) all_55_15 = e1 | all_55_15 = e0
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | BETA: splitting (9181) gives:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | (9182) all_55_15 = e1
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (9182) imply:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | (9183) all_4_2 = e1
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | SIMP: (9183) implies:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | (9184) all_4_2 = e1
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (9184) imply:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | (9185) ~ (all_53_7 = e1)
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7584), (9184) imply:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | (9186) ~ (e3 = e1)
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (9184) imply:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | (9187) ~ (e2 = e1)
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | | (9188) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (235), (237),
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | | (7582), (9074), (9143), (9188), (function-axioms)
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #294.
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | | (9189) (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_13 =
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9189) gives:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | | | (9190) all_57_7 = e1 & op(e1, e2) = e1
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9190) implies:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | | | (9191) op(e1, e2) = e1
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (163), (9137), (9173), (9174), (9175),
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | | | (9191), (function-axioms) are inconsistent by
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #332.
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | | | (9192) all_57_13 = e1 & op(e0, e2) = e1
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (9185), (9192), (function-axioms) are
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #330.
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | (9193) all_55_15 = e0
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (9154), (9193) are inconsistent by
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | | sub-proof #1884.
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.95 | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.95 | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | (9194) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 223.10/37.95 | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/37.95 | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/37.95 | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 223.10/37.95 | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 223.10/37.95 | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 223.10/37.95 | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 223.10/37.95 | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 223.10/37.95 | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | ALPHA: (9194) implies:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | (9195) op(e0, e0) = all_52_31
% 223.10/37.95 | | | | | | | | | | | | | | | | | | (9196) op(e0, e3) = all_52_25
% 223.10/37.95 | | | | | | | | | | | | | | | | | | (9197) op(all_52_25, all_52_25) = e3
% 223.10/37.95 | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 223.10/37.95 | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | (9198) all_55_15 = e3
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (7584), (9198) are inconsistent by
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | sub-proof #2503.
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | (9199) ~ (all_55_15 = e3)
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | (9200) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | BETA: splitting (9200) gives:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | (9201) all_55_15 = e2
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (9201) are inconsistent by sub-proof
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | #2502.
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | (9202) all_55_15 = e1 | all_55_15 = e0
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (36), (165), (211), (212), (213),
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | (244), (371), (373), (7584), (9143), (9150),
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | (9154), (9195), (9196), (9197), (9202),
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | | #1302.
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.95 | | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.95 | | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | | End of split
% 223.10/37.95 | | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | | End of split
% 223.10/37.95 | | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | | End of split
% 223.10/37.95 | | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | | End of split
% 223.10/37.95 | | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | | End of split
% 223.10/37.95 | | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | | End of split
% 223.10/37.95 | | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | | End of split
% 223.10/37.95 | | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | End of split
% 223.10/37.95 | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | Case 2:
% 223.10/37.95 | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | (9203) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 223.10/37.95 | | | | | | | | | | e0 & op(e2, e0) = e0)
% 223.10/37.95 | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | | REF_CLOSE: (165), (166), (9067), (9068), (9203),
% 223.10/37.95 | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/37.95 | | | | | | | | | | #2022.
% 223.10/37.95 | | | | | | | | | |
% 223.10/37.95 | | | | | | | | | End of split
% 223.10/37.95 | | | | | | | | |
% 223.10/37.95 | | | | | | | | End of split
% 223.10/37.95 | | | | | | | |
% 223.10/37.95 | | | | | | | Case 2:
% 223.10/37.95 | | | | | | | |
% 223.10/37.95 | | | | | | | | (9204) all_12_2 = e3
% 223.10/37.95 | | | | | | | | (9205) ( ~ (all_12_0 = e2) & op(all_12_1, e0) = all_12_0 &
% 223.10/37.95 | | | | | | | | op(e0, e3) = all_12_1 & $i(all_12_0) & $i(all_12_1))
% 223.10/37.95 | | | | | | | | | ( ~ (all_12_1 = e1) & op(e0, e3) = all_12_1 &
% 223.10/37.95 | | | | | | | | $i(all_12_1))
% 223.10/37.95 | | | | | | | |
% 223.10/37.96 | | | | | | | | COMBINE_EQS: (325), (9204) imply:
% 223.10/37.96 | | | | | | | | (9206) all_4_2 = e3
% 223.10/37.96 | | | | | | | |
% 223.10/37.96 | | | | | | | | COMBINE_EQS: (318), (9206) imply:
% 223.10/37.96 | | | | | | | | (9207) all_22_2 = e3
% 223.10/37.96 | | | | | | | |
% 223.10/37.96 | | | | | | | | REDUCE: (362), (9206) imply:
% 223.10/37.96 | | | | | | | | (9208) ~ (all_53_7 = e3)
% 223.10/37.96 | | | | | | | |
% 223.10/37.96 | | | | | | | | REDUCE: (370), (9206) imply:
% 223.10/37.96 | | | | | | | | (9209) ~ (all_53_12 = e3)
% 223.10/37.96 | | | | | | | |
% 223.10/37.96 | | | | | | | | REDUCE: (371), (9206) imply:
% 223.10/37.96 | | | | | | | | (9210) ~ (all_53_13 = e3)
% 223.10/37.96 | | | | | | | |
% 223.10/37.96 | | | | | | | | REDUCE: (372), (9206) imply:
% 223.10/37.96 | | | | | | | | (9211) ~ (all_53_14 = e3)
% 223.10/37.96 | | | | | | | |
% 223.10/37.96 | | | | | | | | BETA: splitting (213) gives:
% 223.10/37.96 | | | | | | | |
% 223.10/37.96 | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | |
% 223.10/37.96 | | | | | | | | | (9212) (all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 = e3
% 223.10/37.96 | | | | | | | | | & op(e2, e0) = e3)
% 223.10/37.96 | | | | | | | | |
% 223.10/37.96 | | | | | | | | | REF_CLOSE: (165), (169), (9209), (9210), (9212),
% 223.10/37.96 | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/37.96 | | | | | | | | | #2300.
% 223.10/37.96 | | | | | | | | |
% 223.10/37.96 | | | | | | | | Case 2:
% 223.10/37.96 | | | | | | | | |
% 223.10/37.96 | | | | | | | | | (9213) (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 = e3
% 223.10/37.96 | | | | | | | | | & op(e0, e0) = e3)
% 223.10/37.96 | | | | | | | | |
% 223.10/37.96 | | | | | | | | | BETA: splitting (9213) gives:
% 223.10/37.96 | | | | | | | | |
% 223.10/37.96 | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | (9214) all_57_11 = e3 & op(e1, e0) = e3
% 223.10/37.96 | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | ALPHA: (9214) implies:
% 223.10/37.96 | | | | | | | | | | (9215) op(e1, e0) = e3
% 223.10/37.96 | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | REF_CLOSE: (161), (9211), (9215), (function-axioms) are
% 223.10/37.96 | | | | | | | | | | inconsistent by sub-proof #2330.
% 223.10/37.96 | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | Case 2:
% 223.10/37.96 | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | (9216) all_57_15 = e3 & op(e0, e0) = e3
% 223.10/37.96 | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | ALPHA: (9216) implies:
% 223.10/37.96 | | | | | | | | | | (9217) all_57_15 = e3
% 223.10/37.96 | | | | | | | | | | (9218) op(e0, e0) = e3
% 223.10/37.96 | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | BETA: splitting (52) gives:
% 223.10/37.96 | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | (9219) ~ (all_14_2 = e0)
% 223.10/37.96 | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | REDUCE: (328), (9219) imply:
% 223.10/37.96 | | | | | | | | | | | (9220) ~ (all_8_2 = e0)
% 223.10/37.96 | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | BETA: splitting (55) gives:
% 223.10/37.96 | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | (9221) ~ (all_16_2 = e1)
% 223.10/37.96 | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | REDUCE: (324), (9221) imply:
% 223.10/37.96 | | | | | | | | | | | | (9222) ~ (all_8_2 = e1)
% 223.10/37.96 | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | BETA: splitting (200) gives:
% 223.10/37.96 | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | (9223) all_55_5 = e3
% 223.10/37.96 | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | REF_CLOSE: (266), (375), (9223) are inconsistent by sub-proof
% 223.10/37.96 | | | | | | | | | | | | | #293.
% 223.10/37.96 | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | Case 2:
% 223.10/37.96 | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | (9224) ~ (all_55_5 = e3)
% 223.10/37.96 | | | | | | | | | | | | | (9225) all_55_5 = e2 | all_55_5 = e1 | all_55_5 = e0
% 223.10/37.96 | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | BETA: splitting (9225) gives:
% 223.10/37.96 | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | (9226) all_55_5 = e2
% 223.10/37.96 | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | COMBINE_EQS: (266), (9226) imply:
% 223.10/37.96 | | | | | | | | | | | | | | (9227) all_8_2 = e2
% 223.10/37.96 | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | SIMP: (9227) implies:
% 223.10/37.96 | | | | | | | | | | | | | | (9228) all_8_2 = e2
% 223.10/37.96 | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | REDUCE: (352), (9228) imply:
% 223.10/37.96 | | | | | | | | | | | | | | (9229) ~ (all_53_4 = e2)
% 223.10/37.96 | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | REDUCE: (354), (9228) imply:
% 223.10/37.96 | | | | | | | | | | | | | | (9230) ~ (all_53_6 = e2)
% 223.10/37.96 | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | REDUCE: (356), (9228) imply:
% 223.10/37.96 | | | | | | | | | | | | | | (9231) ~ (all_53_7 = e2)
% 223.10/37.96 | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | REDUCE: (358), (9228) imply:
% 223.10/37.96 | | | | | | | | | | | | | | (9232) ~ (all_53_9 = e2)
% 223.10/37.96 | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | REDUCE: (360), (9228) imply:
% 223.10/37.96 | | | | | | | | | | | | | | (9233) ~ (all_53_13 = e2)
% 223.10/37.96 | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | REDUCE: (375), (9228) imply:
% 223.10/37.96 | | | | | | | | | | | | | | (9234) ~ (e3 = e2)
% 223.10/37.96 | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | REDUCE: (42), (9228) imply:
% 223.10/37.96 | | | | | | | | | | | | | | (9235) op(e2, e2) = e2
% 223.10/37.96 | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 223.10/37.96 | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | (9236) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 223.10/37.96 | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 223.10/37.96 | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | BETA: splitting (9236) gives:
% 223.10/37.96 | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | (9237) all_57_1 = e2 & op(e3, e2) = e2
% 223.10/37.96 | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | REF_CLOSE: (171), (9229), (9237), (function-axioms) are
% 223.10/37.96 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2456.
% 223.10/37.96 | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | Case 2:
% 223.10/37.96 | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | (9238) all_57_3 = e2 & op(e2, e2) = e2
% 223.10/37.96 | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | ALPHA: (9238) implies:
% 223.10/37.96 | | | | | | | | | | | | | | | | (9239) all_57_3 = e2
% 223.10/37.96 | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 223.10/37.96 | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | (9240) ~ (all_22_2 = e3)
% 223.10/37.96 | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | REDUCE: (9207), (9240) imply:
% 223.10/37.96 | | | | | | | | | | | | | | | | | (9241) $false
% 223.10/37.96 | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | CLOSE: (9241) is inconsistent.
% 223.10/37.96 | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.96 | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | (9242) ( ~ (all_22_0 = e1) & op(all_22_1, e0) = all_22_0
% 223.10/37.96 | | | | | | | | | | | | | | | | | & op(e0, e3) = all_22_1 & $i(all_22_0) &
% 223.10/37.96 | | | | | | | | | | | | | | | | | $i(all_22_1)) | ( ~ (all_22_1 = e2) & op(e0, e3)
% 223.10/37.96 | | | | | | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 223.10/37.96 | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 223.10/37.96 | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | (9243) ~ (all_24_2 = e0)
% 223.10/37.96 | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | REDUCE: (315), (9243) imply:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | (9244) ~ (all_6_2 = e0)
% 223.10/37.96 | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 223.10/37.96 | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | (9245) ~ (all_38_2 = e2)
% 223.10/37.96 | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | REDUCE: (249), (9245) imply:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | (9246) ~ (all_6_2 = e2)
% 223.10/37.96 | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | (9247) all_55_10 = e3
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (374), (9247) are inconsistent by sub-proof
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | #2500.
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | (9248) ~ (all_55_10 = e3)
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | (9249) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | BETA: splitting (9249) gives:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | (9250) all_55_10 = e2
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (9246), (9250) are inconsistent by
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | sub-proof #2499.
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | (9251) ~ (all_55_10 = e2)
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | (9252) all_55_10 = e1 | all_55_10 = e0
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9252) gives:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | (9253) all_55_10 = e1
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (9253) imply:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | (9254) all_6_2 = e1
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | SIMP: (9254) implies:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | (9255) all_6_2 = e1
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (374), (9255) imply:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | (9256) ~ (e3 = e1)
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9246), (9255) imply:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | (9257) ~ (e2 = e1)
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (9255) imply:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | (9258) op(e1, e1) = e1
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | (9259) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 =
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9259) gives:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | (9260) all_57_9 = e1 & op(e3, e0) = e1
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (7578), (9260), (function-axioms) are
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2131.
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | (9261) all_57_10 = e1 & op(e2, e0) = e1
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9261) implies:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | (9262) all_57_10 = e1
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | (9263) op(e2, e0) = e1
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | (9264) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9264) gives:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (9265) all_57_1 = e1 & op(e3, e2) = e1
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9265) implies:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (9266) all_57_1 = e1
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9267) (all_57_12 = e1 & op(e0, e3) = e1) | (all_57_13 =
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (207), (208),
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (226), (228), (229), (7575), (9217),
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9218), (9235), (9266), (9267), (function-axioms)
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #290.
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9268) (all_57_14 = e1 & op(e0, e1) = e1) | (all_57_15 =
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9268) gives:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9269) all_57_14 = e1 & op(e0, e1) = e1
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9269) implies:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9270) all_57_14 = e1
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9271) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9271) gives:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9272) all_57_12 = e2 & op(e0, e3) = e2
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9272) implies:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9273) all_57_12 = e2
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9274) all_57_15 = e0 & op(e0, e0) = e0
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9274) implies:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9275) op(e0, e0) = e0
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (161), (169), (213), (9209), (9211),
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9262), (9275), (function-axioms) are inconsistent
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2302.
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9276) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9276) implies:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9277) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9278) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (9235), (9266), (9278),
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #292.
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9279) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9279) gives:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9280) all_57_7 = e3 & op(e1, e2) = e3
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9280) implies:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9281) all_57_7 = e3
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9282) op(e1, e2) = e3
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9283) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_1 = e3
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9283) gives:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9284) all_57_0 = e3 & op(e3, e3) = e3
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9284) implies:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9285) op(e3, e3) = e3
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (64), (67),
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (82), (88), (107), (119), (121), (124), (127),
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (158), (159), (161), (163), (165), (166),
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (171), (195), (199), (207), (208),
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (211), (212), (214), (215), (216), (217),
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (221), (222), (223), (224),
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (230), (231), (232),
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (237), (249), (259),
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (311), (315), (336), (363), (364), (368), (374),
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9205), (9207), (9209), (9217), (9218), (9229),
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9231), (9232), (9233), (9235), (9239), (9281),
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9282), (9285), (function-axioms) are inconsistent
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1074.
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9286) all_57_1 = e3 & op(e3, e2) = e3
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9286) implies:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9287) all_57_1 = e3
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9235), (9281), (9287), (function-axioms) are
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1167.
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9288) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_9 = e3
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9288) gives:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9289) all_57_4 = e3 & op(e3, e1) = e3
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9289) implies:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9290) all_57_4 = e3
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9291) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (9235), (9266), (9291),
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1164.
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9292) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9292) gives:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9293) all_57_7 = e0 & op(e1, e2) = e0
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9293) implies:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9294) all_57_7 = e0
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (208), (209), (229),
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9217), (9218), (9239), (9266), (9277), (9294),
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #940.
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9295) all_57_13 = e0 & op(e0, e2) = e0
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9295) implies:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9296) all_57_13 = e0
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9297) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9297) gives:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9298) all_57_0 = e2 & op(e3, e3) = e2
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9298) implies:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9299) op(e3, e3) = e2
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7582), (9299), (function-axioms) are
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1950.
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9300) all_57_1 = e2 & op(e3, e2) = e2
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9300) implies:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9301) all_57_1 = e2
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (227), (9235), (9281), (9296),
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9301), (function-axioms) are inconsistent by
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #871.
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9302) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9302) gives:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9303) all_57_4 = e2 & op(e3, e1) = e2
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9303) implies:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9304) all_57_4 = e2
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9290), (9304) imply:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9305) e3 = e2
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9281), (9305) imply:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9306) all_57_7 = e2
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (208),
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (211), (212), (217), (226), (227), (228),
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (374), (9217), (9218), (9235), (9266),
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9306), (function-axioms) are inconsistent by
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #289.
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9307) all_57_9 = e2 & op(e3, e0) = e2
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9307) implies:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9308) all_57_9 = e2
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9309) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_5 = e2
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (166), (169), (231),
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (237), (9209), (9232), (9308), (9309),
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #287.
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9310) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_14 =
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9310) gives:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9311) all_57_8 = e2 & op(e1, e1) = e2
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9311) implies:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9312) op(e1, e1) = e2
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9258), (9312), (function-axioms) are
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2423.
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9313) all_57_14 = e2 & op(e0, e1) = e2
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9313) implies:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9314) all_57_14 = e2
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9315) (all_57_12 = e1 & op(e0, e3) = e1) | (all_57_13 =
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9315) gives:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9316) all_57_12 = e1 & op(e0, e3) = e1
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (7575), (9316), (function-axioms) are
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1947.
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9317) all_57_13 = e1 & op(e0, e2) = e1
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9317) implies:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9318) all_57_13 = e1
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9319) all_57_15 = e0 & op(e0, e0) = e0
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9319) implies:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9320) op(e0, e0) = e0
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9218), (9320), (function-axioms) are
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (9273), (9277), (9314), (9318) are
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #334.
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9218), (9268), (9314),
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1139.
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9321) all_57_9 = e3 & op(e3, e0) = e3
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9321) implies:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9322) op(e3, e0) = e3
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9209), (9322), (function-axioms) are
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2458.
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9323) all_57_13 = e3 & op(e0, e2) = e3
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9323) implies:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9324) all_57_13 = e3
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (208), (209),
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9217), (9218), (9277), (9324), (function-axioms)
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2054.
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9325) all_57_13 = e2 & op(e0, e2) = e2
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9325) implies:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9326) op(e0, e2) = e2
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (9231), (9326), (function-axioms) are
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2335.
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9327) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (373), (9270), (9327),
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #286.
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9328) all_57_15 = e1 & op(e0, e0) = e1
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9328) implies:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9329) op(e0, e0) = e1
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9218), (9329), (function-axioms) are
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2183.
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (9330) all_57_3 = e1 & op(e2, e2) = e1
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.96 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9330) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (9331) op(e2, e2) = e1
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9235), (9331), (function-axioms) are
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | (9332) (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_13 =
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9332) gives:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (9333) all_57_7 = e1 & op(e1, e2) = e1
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9333) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (9334) all_57_7 = e1
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (214), (216), (217), (374), (9217), (9258),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (9334), (function-axioms) are inconsistent by
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1069.
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (9335) all_57_13 = e1 & op(e0, e2) = e1
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9335) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (9336) all_57_13 = e1
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (9337) op(e0, e2) = e1
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_7, e1,
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (159), (9337) gives:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (9338) all_53_7 = e1
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_13,
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (165), (9263) gives:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (9339) all_53_13 = e1
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (9338) imply:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (9340) ~ (all_53_6 = e1)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9341) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (39), (374), (7582), (9258), (9263), (9341),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | #359.
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9342) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9342) gives:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9343) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9343) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9344) op(e1, e0) = all_52_23
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9345) op(e1, e1) = all_52_21
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9346) op(e1, e2) = all_52_19
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9347) op(e1, e3) = all_52_17
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9348) op(all_52_23, all_52_23) = e0
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9349) op(all_52_21, all_52_21) = e1
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9350) op(all_52_19, all_52_19) = e2
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9351) op(all_52_17, all_52_17) = e3
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_14,
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_23, e0, e1, simplifying with (161), (9344)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9352) all_53_14 = all_52_23
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_6,
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_19, e2, e1, simplifying with (163), (9346)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9353) all_53_6 = all_52_19
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_2,
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_17, e3, e1, simplifying with (164), (9347)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9354) all_53_2 = all_52_17
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (9353) imply:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9355) all_55_9 = all_52_19
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (9353) imply:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9356) ~ (all_53_4 = all_52_19)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9230), (9353) imply:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9357) ~ (all_52_19 = e2)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9340), (9353) imply:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9358) ~ (all_52_19 = e1)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9359) all_55_1 = e3
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (9359) imply:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9360) all_53_4 = e3
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9360) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9361) all_53_4 = e3
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9356), (9361) imply:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9362) ~ (all_52_19 = e3)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9362) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9363) ~ (all_52_19 = e3)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9364) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9364) gives:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9365) all_57_1 = e3 & op(e3, e2) = e3
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9365) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9366) all_57_1 = e3
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9367) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9367) gives:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9368) all_57_6 = e3 & op(e1, e3) = e3
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9368) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9369) all_57_6 = e3
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9370) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_7 = e2
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9370) gives:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9371) all_57_6 = e2 & op(e1, e3) = e2
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9371) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9372) all_57_6 = e2
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (226), (227), (228), (374), (9217),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9336), (9366), (9372), (function-axioms) are
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #961.
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9373) all_57_7 = e2 & op(e1, e2) = e2
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9373) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9374) all_57_7 = e2
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (208),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (211), (212), (217), (226), (229), (374),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9217), (9218), (9235), (9336), (9369), (9374),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #285.
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9375) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_11 =
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9375) gives:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9376) all_57_8 = e2 & op(e1, e1) = e2
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9376) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9377) op(e1, e1) = e2
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (214), (215), (217), (222), (223), (224),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (234), (374), (7582), (9205), (9217),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9218), (9235), (9239), (9242), (9244), (9345),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9349), (9377), (function-axioms) are inconsistent
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #284.
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9378) all_57_11 = e2 & op(e1, e0) = e2
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9378) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9379) op(e1, e0) = e2
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9235), (9344), (9348), (9379),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2369.
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9380) all_57_7 = e3 & op(e1, e2) = e3
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9380) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9381) all_57_7 = e3
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9336), (9366), (9381) are inconsistent by
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1214.
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9382) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (374), (9217), (9382), (function-axioms)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1786.
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9383) all_57_3 = e3 & op(e2, e2) = e3
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9383) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9384) op(e2, e2) = e3
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9235), (9384), (function-axioms) are
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2298.
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9385) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9385) gives:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9386) all_57_7 = e3 & op(e1, e2) = e3
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9386) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9387) all_57_7 = e3
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9388) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9388) gives:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9389) all_57_1 = e0 & op(e3, e2) = e0
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9389) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9390) op(e3, e2) = e0
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9391) all_55_9 = e3
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9355), (9363), (9391) are inconsistent by
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1603.
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9392) all_55_9 = e2 | all_55_9 = e1 | all_55_9 = e0
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (137), (171), (256), (9230), (9340), (9390),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9392), (function-axioms) are inconsistent by
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1831.
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9393) all_57_3 = e0 & op(e2, e2) = e0
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9393) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9394) op(e2, e2) = e0
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9235), (9394), (function-axioms) are
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2472.
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9395) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9395) gives:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9396) all_57_7 = e0 & op(e1, e2) = e0
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9387), (9396) are inconsistent by sub-proof
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2042.
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9397) all_57_13 = e0 & op(e0, e2) = e0
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9397) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9398) all_57_13 = e0
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9336), (9398) imply:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9399) e1 = e0
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9399) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9400) e1 = e0
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7581), (9400) imply:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9401) all_57_0 = e0
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (39), (160), (168), (195), (232), (336),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (7573), (7575), (9347), (9351), (9401),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1545.
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9402) all_57_13 = e3 & op(e0, e2) = e3
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9402) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9403) all_57_13 = e3
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (208), (209),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9217), (9218), (9403), (function-axioms) are
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1792.
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9404) all_55_1 = e2 | all_55_1 = e1 | all_55_1 = e0
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (196), (270), (7576), (7582), (9229), (9350),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9355), (9356), (9357), (9358), (9404),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #357.
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9405) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9405) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9406) op(e0, e0) = all_52_31
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9407) op(all_52_31, all_52_31) = e0
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7582), (9218), (9406), (9407),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #283.
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | (9408) (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 =
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9408) gives:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | (9409) all_57_11 = e1 & op(e1, e0) = e1
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9409) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | (9410) all_57_11 = e1
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | (9411) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9411) gives:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (9412) all_57_1 = e1 & op(e3, e2) = e1
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9412) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (9413) all_57_1 = e1
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9414) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9414) gives:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9415) all_57_2 = e1 & op(e2, e3) = e1
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (7573), (9415), (function-axioms) are
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2156.
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9416) all_57_3 = e1 & op(e2, e2) = e1
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9416) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9417) op(e2, e2) = e1
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (228), (229),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9413), (9417), (function-axioms) are inconsistent
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1908.
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9418) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9418) gives:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9419) all_57_5 = e1 & op(e2, e1) = e1
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9419) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9420) all_57_5 = e1
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (208),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (218), (220), (221), (374), (9217), (9258),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9420), (function-axioms) are inconsistent by
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #941.
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9421) all_57_10 = e1 & op(e2, e0) = e1
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9421) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9422) all_57_10 = e1
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9423) all_57_15 = e0 & op(e0, e0) = e0
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9423) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9424) op(e0, e0) = e0
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (161), (169), (213), (9209), (9211),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9422), (9424), (function-axioms) are inconsistent
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2302.
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9425) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9425) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9426) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9427) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (9235), (9413), (9427),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #292.
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9428) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9428) gives:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9429) all_57_7 = e3 & op(e1, e2) = e3
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9429) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9430) all_57_7 = e3
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9431) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9431) gives:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9432) all_57_6 = e0 & op(e1, e3) = e0
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9432) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9433) all_57_6 = e0
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (216), (9258), (9410), (9430),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9433), (function-axioms) are inconsistent by
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1844.
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9434) all_57_7 = e0 & op(e1, e2) = e0
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9434) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9435) all_57_7 = e0
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (208), (209), (229),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9217), (9218), (9239), (9413), (9426), (9435),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #940.
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9436) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (211), (212), (9217),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9218), (9258), (9410), (9422), (9436),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #282.
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9437) all_57_13 = e3 & op(e0, e2) = e3
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9437) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9438) all_57_13 = e3
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (208), (209),
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9217), (9218), (9426), (9438), (function-axioms)
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2054.
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (9439) all_57_3 = e1 & op(e2, e2) = e1
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9439) implies:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (9440) op(e2, e2) = e1
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9235), (9440), (function-axioms) are
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | (9441) (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_13 =
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9441) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (9442) all_57_7 = e1 & op(e1, e2) = e1
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9442) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (9443) all_57_7 = e1
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (214), (216), (217), (374), (9217), (9258),
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (9443), (function-axioms) are inconsistent by
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1069.
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (9444) all_57_13 = e1 & op(e0, e2) = e1
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9444) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (9445) all_57_13 = e1
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9446) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (168), (7573), (9235), (9446),
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | #361.
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9447) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9447) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9448) all_57_5 = e1 & op(e2, e1) = e1
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9448) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9449) all_57_5 = e1
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (208),
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (218), (220), (221), (374), (9217), (9258),
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9449), (function-axioms) are inconsistent by
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #941.
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9450) all_57_10 = e1 & op(e2, e0) = e1
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9450) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9451) all_57_10 = e1
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9452) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9452) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9453) all_57_9 = e2 & op(e3, e0) = e2
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9453) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9454) all_57_9 = e2
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9455) all_57_15 = e0 & op(e0, e0) = e0
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9455) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9456) op(e0, e0) = e0
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (161), (169), (213), (9209), (9211),
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9451), (9456), (function-axioms) are inconsistent
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2302.
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9457) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9457) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9458) (all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 & op(e1,
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9459) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_7 = e2
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9459) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9460) all_57_6 = e2 & op(e1, e3) = e2
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9460) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9461) all_57_6 = e2
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9462) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9462) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9463) all_57_6 = e3 & op(e1, e3) = e3
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9463) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9464) all_57_6 = e3
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9461), (9464) are inconsistent by sub-proof
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2463.
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9465) all_57_7 = e3 & op(e1, e2) = e3
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9465) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9466) all_57_7 = e3
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9467) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9467) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9468) all_57_4 = e1 & op(e3, e1) = e1
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9468) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9469) all_57_4 = e1
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (220),
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (374), (9244), (9258), (9469),
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2407.
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9470) all_57_5 = e1 & op(e2, e1) = e1
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9470) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9471) all_57_5 = e1
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (208),
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (218), (220), (221), (374), (9217), (9258),
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9471), (function-axioms) are inconsistent by
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #941.
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9472) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9472) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9473) all_57_8 = e1 & op(e1, e1) = e1
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9473) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9474) all_57_8 = e1
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9475) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9475) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9476) all_57_6 = e0 & op(e1, e3) = e0
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9476) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9477) all_57_6 = e0
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (216), (9258), (9410), (9466),
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9477), (function-axioms) are inconsistent by
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1844.
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9478) all_57_7 = e0 & op(e1, e2) = e0
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9478) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9479) all_57_7 = e0
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (39), (216), (217),
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (9258), (9410), (9479), (function-axioms)
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1931.
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9480) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9480) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9481) all_57_8 = e0 & op(e1, e1) = e0
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9481) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9482) op(e1, e1) = e0
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9258), (9482), (function-axioms) are
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2427.
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9483) all_57_11 = e0 & op(e1, e0) = e0
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9483) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9484) all_57_11 = e0
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9410), (9484) imply:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9485) e1 = e0
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9485) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9486) e1 = e0
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9474), (9486) imply:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9487) all_57_8 = e0
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7581), (9486) imply:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9488) all_57_0 = e0
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (39), (160), (168),
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (232), (374), (7573), (7575),
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9410), (9487), (9488), (function-axioms) are
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1678.
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9489) all_57_14 = e1 & op(e0, e1) = e1
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9489) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9490) all_57_14 = e1
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9491) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9491) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9492) all_57_12 = e2 & op(e0, e3) = e2
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9492) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9493) all_57_12 = e2
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9494) all_57_15 = e0 & op(e0, e0) = e0
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9494) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9495) op(e0, e0) = e0
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (161), (169), (213), (9209), (9211),
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9451), (9495), (function-axioms) are inconsistent
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2302.
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9457) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9496) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9496) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9497) all_57_12 = e0 & op(e0, e3) = e0
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9493), (9497) are inconsistent by sub-proof
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2185.
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9498) (all_57_13 = e0 & op(e0, e2) = e0) | (all_57_14 =
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9498) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9499) all_57_13 = e0 & op(e0, e2) = e0
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9499) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9500) all_57_13 = e0
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9445), (9500) imply:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9501) e1 = e0
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9501) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9502) e1 = e0
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (211), (9218), (9410), (9451),
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9454), (9502), (function-axioms) are inconsistent
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #281.
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9503) all_57_14 = e0 & op(e0, e1) = e0
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9503) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9504) all_57_14 = e0
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9490), (9504) imply:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9505) e1 = e0
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (211), (9218), (9410), (9451),
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9454), (9505), (function-axioms) are inconsistent
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #281.
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9506) all_57_13 = e2 & op(e0, e2) = e2
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9506) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9507) op(e0, e2) = e2
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (9231), (9507), (function-axioms) are
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2335.
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9508) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9508) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9509) all_57_14 = e2 & op(e0, e1) = e2
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9490), (9509) are inconsistent by sub-proof
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1968.
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9510) all_57_15 = e2 & op(e0, e0) = e2
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9510) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9511) op(e0, e0) = e2
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (9511), (function-axioms) are
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2334.
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9512) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (211), (212),
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (9217), (9458), (9512), (function-axioms)
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1080.
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9513) all_57_7 = e2 & op(e1, e2) = e2
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9513) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9514) all_57_7 = e2
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9515) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (214), (217), (374), (9217), (9258),
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9454), (9514), (9515), (function-axioms) are
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #958.
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9516) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (211), (212), (9217),
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9218), (9258), (9410), (9451), (9516),
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #282.
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9517) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_11 =
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9258), (9410), (9517), (function-axioms) are
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #956.
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9518) all_57_10 = e2 & op(e2, e0) = e2
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9233), (9518), (function-axioms) are
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2432.
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9519) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9519) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9520) all_57_11 = e2 & op(e1, e0) = e2
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9520) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9521) all_57_11 = e2
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9410), (9521) are inconsistent by sub-proof
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2113.
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9522) all_57_15 = e2 & op(e0, e0) = e2
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9522) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9523) op(e0, e0) = e2
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (9523), (function-axioms) are
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2334.
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | (9524) all_57_15 = e1 & op(e0, e0) = e1
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9524) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | (9525) op(e0, e0) = e1
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9218), (9525), (function-axioms) are
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2183.
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | (9526) all_55_10 = e0
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (9244), (9526) are inconsistent by
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2118.
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.98 | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | (9527) all_38_2 = e2
% 223.10/37.98 | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (9527) imply:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | (9528) all_6_2 = e2
% 223.10/37.98 | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | REDUCE: (39), (9528) imply:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | (9529) op(e1, e1) = e2
% 223.10/37.98 | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | (9530) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | BETA: splitting (9530) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | (9531) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9531) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | (9532) op(e3, e0) = all_52_7
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | (9533) op(e3, e3) = all_52_1
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | (9534) op(all_52_7, all_52_7) = e0
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | (9535) op(all_52_1, all_52_1) = e3
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | (9536) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9536) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | (9537) all_57_9 = e2 & op(e3, e0) = e2
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9537) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | (9538) op(e3, e0) = e2
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_12,
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e3, simplifying with (169), (9538) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | (9539) all_53_12 = e2
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (169), (9235), (9532), (9534), (9539),
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | #338.
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | (9540) all_57_10 = e2 & op(e2, e0) = e2
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9233), (9540), (function-axioms) are
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2432.
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | (9541) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9541) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | (9542) all_57_11 = e2 & op(e1, e0) = e2
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9542) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | (9543) all_57_11 = e2
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | (9544) op(e1, e0) = e2
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | (9545) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 =
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9545) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | (9546) all_57_9 = e1 & op(e3, e0) = e1
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (7578), (9546), (function-axioms) are
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2131.
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | (9547) all_57_10 = e1 & op(e2, e0) = e1
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9547) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | (9548) all_57_10 = e1
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (9549) all_57_15 = e0 & op(e0, e0) = e0
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9549) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (9550) op(e0, e0) = e0
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (161), (169), (213), (9209), (9211),
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (9548), (9550), (function-axioms) are inconsistent
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2302.
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (9551) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9551) implies:
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (9552) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (9553) (all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 & op(e1,
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.98 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9553) gives:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9554) all_57_9 = e0 & op(e3, e0) = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9554) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9555) all_57_9 = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9556) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_5 = e2
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9556) gives:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9557) all_57_4 = e2 & op(e3, e1) = e2
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9557) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9558) all_57_4 = e2
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9559) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9559) gives:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9560) all_57_6 = e1 & op(e1, e3) = e1
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9560) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9561) all_57_6 = e1
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9562) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_1 = e3
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9562) gives:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9563) all_57_0 = e3 & op(e3, e3) = e3
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9563) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9564) op(e3, e3) = e3
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (64), (67),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (82), (88), (107), (119), (121), (124), (127),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (158), (159), (161), (163), (165), (166),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (171), (195), (199), (207), (208),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (211), (212), (214), (215), (216), (217),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (221), (222), (223), (224),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (230), (231),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (249),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (259), (311), (315), (336), (363), (364), (368),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (9205), (9207), (9209), (9217), (9218),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9229), (9231), (9232), (9233), (9235), (9239),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9564), (function-axioms) are inconsistent by
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1073.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9565) all_57_1 = e3 & op(e3, e2) = e3
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9565) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9566) all_57_1 = e3
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (226), (227), (228), (374), (9217),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9235), (9561), (9566), (function-axioms) are
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1071.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9567) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_9 = e3
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (169), (9209), (9558), (9567),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2448.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9568) all_57_7 = e1 & op(e1, e2) = e1
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9568) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9569) all_57_7 = e1
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9570) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9570) gives:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9571) all_57_6 = e0 & op(e1, e3) = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9571) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9572) all_57_6 = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (39), (217), (374), (9543), (9569),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9572), (function-axioms) are inconsistent by
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2114.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9573) all_57_7 = e0 & op(e1, e2) = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9573) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9574) all_57_7 = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (215), (217), (374), (9217), (9529),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9543), (9574), (function-axioms) are inconsistent
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1154.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9575) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9575) gives:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9576) all_57_8 = e0 & op(e1, e1) = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (9244), (9576), (function-axioms) are
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2412.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9577) all_57_11 = e0 & op(e1, e0) = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9577) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9578) all_57_11 = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (211), (212), (9217),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9555), (9578) are inconsistent by sub-proof
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1144.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9579) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9529), (9543), (9579), (function-axioms) are
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1725.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9580) all_57_5 = e2 & op(e2, e1) = e2
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (9232), (9580), (function-axioms) are
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1858.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9581) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_14 =
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9581) gives:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9582) all_57_8 = e2 & op(e1, e1) = e2
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9582) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9583) all_57_8 = e2
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9584) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (171), (9229), (9235), (9533), (9535),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9584), (function-axioms) are inconsistent by
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #341.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9585) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9585) gives:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9586) all_57_4 = e2 & op(e3, e1) = e2
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9586) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9587) all_57_4 = e2
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9588) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9588) gives:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9589) all_57_4 = e3 & op(e3, e1) = e3
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9589) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9590) all_57_4 = e3
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9587), (9590) are inconsistent by sub-proof
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2482.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9591) all_57_5 = e3 & op(e2, e1) = e3
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9591) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9592) all_57_5 = e3
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9593) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9593) gives:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9594) all_57_4 = e0 & op(e3, e1) = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9594) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9595) all_57_4 = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9587), (9595) imply:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9596) e2 = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9596) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9597) e2 = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9543), (9597) imply:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9598) all_57_11 = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (211), (212), (9217),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9555), (9598) are inconsistent by sub-proof
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1144.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9599) all_57_5 = e0 & op(e2, e1) = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9592), (9599) are inconsistent by sub-proof
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2414.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9600) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9600) gives:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9601) all_57_8 = e0 & op(e1, e1) = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (9244), (9601), (function-axioms) are
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2412.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9602) all_57_14 = e0 & op(e0, e1) = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9602) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9603) all_57_14 = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (219), (9583), (9587), (9592),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9603) are inconsistent by sub-proof #1456.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9604) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (208), (209),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (9217), (9552), (9604), (function-axioms)
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1044.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9605) all_57_9 = e2 & op(e3, e0) = e2
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9605) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9606) all_57_9 = e2
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9555), (9606) imply:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9607) e2 = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9607) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9608) e2 = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9543), (9608) imply:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9609) all_57_11 = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (211), (212), (9217),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9555), (9609) are inconsistent by sub-proof
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1144.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9610) all_57_14 = e2 & op(e0, e1) = e2
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9610) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9611) all_57_14 = e2
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9612) op(e0, e1) = e2
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9613) (all_57_12 = e1 & op(e0, e3) = e1) | (all_57_13 =
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9613) gives:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9614) all_57_12 = e1 & op(e0, e3) = e1
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9614) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9615) op(e0, e3) = e1
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9205), (9242), (9544), (9615), (function-axioms)
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1147.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9616) all_57_13 = e1 & op(e0, e2) = e1
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9616) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9617) all_57_13 = e1
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9618) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9618) gives:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9619) all_57_0 = e2 & op(e3, e3) = e2
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9619) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9620) op(e3, e3) = e2
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (39), (67), (82), (107), (119), (158), (161),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (166), (195), (199), (259), (311), (315), (336),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (364), (368), (374), (9211), (9218), (9235),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9544), (9612), (9620), (function-axioms) are
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1114.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9621) all_57_1 = e2 & op(e3, e2) = e2
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (171), (9229), (9621), (function-axioms) are
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2456.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9622) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9622) gives:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9623) all_57_4 = e2 & op(e3, e1) = e2
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9623) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9624) all_57_4 = e2
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (219),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (374), (9611), (9624),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2370.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9625) all_57_9 = e2 & op(e3, e0) = e2
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9625) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9626) all_57_9 = e2
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9627) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9627) gives:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9628) all_57_4 = e1 & op(e3, e1) = e1
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9628) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9629) all_57_4 = e1
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (218), (221),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (9244), (9611), (9629), (function-axioms)
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2408.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9630) all_57_5 = e1 & op(e2, e1) = e1
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9630) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9631) all_57_5 = e1
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9632) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9632) gives:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9633) all_57_4 = e0 & op(e3, e1) = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9633) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9634) all_57_4 = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (208),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (221), (374), (9217), (9631), (9634),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #943.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9635) all_57_5 = e0 & op(e2, e1) = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9635) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9636) all_57_5 = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9631), (9636) imply:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9637) e1 = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9617), (9637) imply:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9638) all_57_13 = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (208), (9205), (9218), (9242),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9544), (9611), (9638), (function-axioms) are
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1100.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9639) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9639) gives:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9640) all_57_8 = e0 & op(e1, e1) = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (9244), (9640), (function-axioms) are
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2412.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9641) all_57_14 = e0 & op(e0, e1) = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9641) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9642) all_57_14 = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9611), (9642) imply:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9643) e2 = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9543), (9643) imply:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9644) all_57_11 = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (211), (212), (9217),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9555), (9644) are inconsistent by sub-proof
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1144.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9645) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9529), (9611), (9645), (function-axioms) are
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2198.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9646) (all_57_14 = e1 & op(e0, e1) = e1) | (all_57_15 =
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9218), (9611), (9646),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1139.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9647) (all_57_10 = e0 & op(e2, e0) = e0) | (all_57_11 =
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9647) gives:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9648) all_57_10 = e0 & op(e2, e0) = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9548), (9648) are inconsistent by sub-proof
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1332.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9649) all_57_11 = e0 & op(e1, e0) = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9543), (9649) are inconsistent by sub-proof
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2041.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | (9650) (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 =
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9218), (9543), (9650),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | | #1109.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | (9651) all_57_15 = e2 & op(e0, e0) = e2
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9651) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | (9652) op(e0, e0) = e2
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (9652), (function-axioms) are
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2334.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | (9653) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9653) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | (9654) op(e2, e0) = all_52_15
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | (9655) op(all_52_15, all_52_15) = e0
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | (9656) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (160), (165), (198), (258), (9205), (9210),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | (9218), (9231), (9233), (9242), (9654), (9655),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | (9656), (function-axioms) are inconsistent by
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | sub-proof #278.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | (9657) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9657) gives:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | (9658) all_57_14 = e2 & op(e0, e1) = e2
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9658) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | (9659) all_57_14 = e2
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (207),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | (208), (211), (212), (214), (215), (217), (222),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (234), (374), (7575), (7582),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | (9217), (9218), (9235), (9239), (9244), (9529),
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | (9659), (function-axioms) are inconsistent by
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #333.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | (9660) all_57_15 = e2 & op(e0, e0) = e2
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9660) implies:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | (9661) op(e0, e0) = e2
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (9661), (function-axioms) are
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2334.
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | |
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/37.99 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | (9662) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | BETA: splitting (9662) gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | (9663) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9663) implies:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | (9664) op(e1, e1) = all_52_21
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | (9665) op(all_52_21, all_52_21) = e1
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | (212), (214), (215), (217), (222), (223), (224),
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | (225), (234), (374), (7582), (9205), (9217),
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | (9218), (9235), (9239), (9242), (9244), (9529),
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | (9664), (9665), (function-axioms) are inconsistent
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | by sub-proof #284.
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | (9666) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9666) implies:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | (9667) op(e0, e0) = all_52_31
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | (9668) op(all_52_31, all_52_31) = e0
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7582), (9218), (9667), (9668),
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | #283.
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.00 | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.00 | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.00 | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | (9669) all_24_2 = e0
% 223.10/38.00 | | | | | | | | | | | | | | | | | | (9670) ( ~ (all_24_0 = e2) & op(all_24_1, e1) = all_24_0
% 223.10/38.00 | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_24_1 & $i(all_24_0) &
% 223.10/38.00 | | | | | | | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e3) & op(e1, e0)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 223.10/38.00 | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (315), (9669) imply:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | (9671) all_6_2 = e0
% 223.10/38.00 | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | SIMP: (9671) implies:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | (9672) all_6_2 = e0
% 223.10/38.00 | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (311), (9672) imply:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | (9673) all_34_2 = e0
% 223.10/38.00 | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | REDUCE: (350), (9672) imply:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | (9674) ~ (all_53_2 = e0)
% 223.10/38.00 | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | REDUCE: (361), (9672) imply:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | (9675) ~ (all_53_6 = e0)
% 223.10/38.00 | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | REDUCE: (364), (9672) imply:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | (9676) ~ (all_53_9 = e0)
% 223.10/38.00 | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | REDUCE: (368), (9672) imply:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | (9677) ~ (all_53_14 = e0)
% 223.10/38.00 | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | REDUCE: (374), (9672) imply:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | (9678) ~ (e3 = e0)
% 223.10/38.00 | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | (9679) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 223.10/38.00 | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | BETA: splitting (9679) gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | (9680) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (7582), (9680), (function-axioms) are
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #360.
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | (9681) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | ALPHA: (9681) implies:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | (9682) op(e2, e0) = all_52_15
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | (9683) op(e2, e1) = all_52_13
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | (9684) op(e2, e2) = all_52_11
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | (9685) op(all_52_15, all_52_15) = e0
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | (9686) op(all_52_13, all_52_13) = e1
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | (9687) op(all_52_11, all_52_11) = e2
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | (9688) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (164), (9674), (9675), (9688),
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | #2038.
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | (9689) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9689) gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | (9690) all_57_8 = e0 & op(e1, e1) = e0
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9690) implies:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | (9691) all_57_8 = e0
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | (9692) op(e1, e1) = e0
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_13,
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | all_52_15, e0, e2, simplifying with (165), (9682)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | (9693) all_53_13 = all_52_15
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_9,
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | all_52_13, e1, e2, simplifying with (166), (9683)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | (9694) all_53_9 = all_52_13
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | all_52_11, e2, e2, simplifying with (9235), (9684)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | (9695) all_52_11 = e2
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (9693) imply:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | (9696) all_55_7 = all_52_15
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (9694) imply:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | (9697) all_55_6 = all_52_13
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9232), (9694) imply:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | (9698) ~ (all_52_13 = e2)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9676), (9694) imply:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | (9699) ~ (all_52_13 = e0)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (9693) imply:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | (9700) ~ (all_53_14 = all_52_15)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | SIMP: (9700) implies:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | (9701) ~ (all_53_14 = all_52_15)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9210), (9693) imply:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | (9702) ~ (all_52_15 = e3)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9233), (9693) imply:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | (9703) ~ (all_52_15 = e2)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | (9704) all_55_13 = e3
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (9208), (9704) are inconsistent by
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2080.
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | (9705) all_55_13 = e2 | all_55_13 = e1 | all_55_13 = e0
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | (9706) all_55_9 = e3
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (9706) imply:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | (9707) all_53_6 = e3
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9707) implies:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | (9708) all_53_6 = e3
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (9708) imply:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | (9709) ~ (all_53_2 = e3)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (9708) imply:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | (9710) ~ (all_53_14 = e3)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | (9711) all_55_8 = e3
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (9709), (9711) are inconsistent by
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2496.
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | (9712) all_55_8 = e2 | all_55_8 = e1 | all_55_8 = e0
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9712) gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (9713) all_55_8 = e2
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (9713) imply:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (9714) all_53_2 = e2
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9714) implies:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (9715) all_53_2 = e2
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (142), (9715) imply:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (9716) ~ (all_53_14 = e2)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9716) implies:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (9717) ~ (all_53_14 = e2)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9718) all_55_11 = e3
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (9718) imply:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9719) all_53_14 = e3
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9211), (9719) imply:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9720) $false
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9720) is inconsistent.
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9721) all_55_11 = e2 | all_55_11 = e1 | all_55_11 = e0
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9721) gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9722) all_55_11 = e2
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (9722) imply:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9723) all_53_14 = e2
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9717), (9723) imply:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9724) $false
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9724) is inconsistent.
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9725) all_55_11 = e1 | all_55_11 = e0
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9725) gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9726) all_55_11 = e1
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (9726) imply:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9727) all_53_14 = e1
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9701), (9727) imply:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9728) ~ (all_52_15 = e1)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9728) implies:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9729) ~ (all_52_15 = e1)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9730) all_55_7 = e3
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9696), (9702), (9730) are inconsistent by
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2063.
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9731) ~ (all_55_7 = e3)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9732) all_55_7 = e2 | all_55_7 = e1 | all_55_7 = e0
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9218), (9685), (9696), (9702), (9703), (9729),
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9732), (function-axioms) are inconsistent by
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #276.
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9733) all_55_11 = e0
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (9733) imply:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9734) all_53_14 = e0
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9677), (9734) imply:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9735) $false
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9735) is inconsistent.
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (9736) all_55_8 = e1 | all_55_8 = e0
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (7574), (9674), (9736) are inconsistent by
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1974.
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | (9737) ~ (all_55_9 = e3)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | (9738) all_55_9 = e2 | all_55_9 = e1 | all_55_9 = e0
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (256), (9737) imply:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | (9739) ~ (all_53_6 = e3)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | (9740) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9740) gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (9741) all_57_6 = e3 & op(e1, e3) = e3
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9741) implies:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (9742) all_57_6 = e3
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9743) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_2 = e2
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (211), (212),
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (7582), (9217),
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9218), (9235), (9239), (9743), (function-axioms)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #337.
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9744) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_12 =
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9744) gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9745) all_57_6 = e2 & op(e1, e3) = e2
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9742), (9745) are inconsistent by sub-proof
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2012.
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9746) all_57_12 = e2 & op(e0, e3) = e2
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (165), (198), (258), (9205), (9210),
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9218), (9233), (9242), (9682), (9685), (9746),
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #279.
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (9747) all_57_7 = e3 & op(e1, e2) = e3
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9747) implies:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (9748) all_57_7 = e3
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9749) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9749) gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9750) all_57_6 = e1 & op(e1, e3) = e1
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9750) implies:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9751) all_57_6 = e1
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9752) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_2 = e2
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (211), (212),
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (7582), (9217),
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9218), (9235), (9239), (9752), (function-axioms)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #337.
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9753) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_12 =
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9753) gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9754) all_57_6 = e2 & op(e1, e3) = e2
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9751), (9754) are inconsistent by sub-proof
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1317.
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9755) all_57_12 = e2 & op(e0, e3) = e2
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (165), (198), (258), (9205), (9210),
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9218), (9233), (9242), (9682), (9685), (9755),
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #279.
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9756) all_57_7 = e1 & op(e1, e2) = e1
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9756) implies:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9757) all_57_7 = e1
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9748), (9757) are inconsistent by sub-proof
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2115.
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9758) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9758) gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9759) all_57_8 = e1 & op(e1, e1) = e1
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9759) implies:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9760) op(e1, e1) = e1
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9692), (9760), (function-axioms) are
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2427.
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9761) all_57_11 = e1 & op(e1, e0) = e1
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9761) implies:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9762) all_57_11 = e1
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9738) gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9763) all_55_9 = e2
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (9230), (9763) are inconsistent by
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2274.
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9764) ~ (all_55_9 = e2)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9765) all_55_9 = e1 | all_55_9 = e0
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9766) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_7 = e2
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9766) gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9767) all_57_6 = e2 & op(e1, e3) = e2
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9767) implies:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9768) all_57_6 = e2
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9769) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9769) gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9770) all_57_1 = e1 & op(e3, e2) = e1
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9770) implies:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9771) all_57_1 = e1
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9772) (all_57_12 = e1 & op(e0, e3) = e1) | (all_57_13 =
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (207), (208),
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (226), (228), (229), (7575), (9217),
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9218), (9235), (9771), (9772), (function-axioms)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #290.
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9773) (all_57_14 = e1 & op(e0, e1) = e1) | (all_57_15 =
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9773) gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9774) all_57_14 = e1 & op(e0, e1) = e1
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9774) implies:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9775) all_57_14 = e1
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9776) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (160), (165), (198), (258), (9205), (9210),
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9218), (9231), (9233), (9242), (9682), (9685),
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9776), (function-axioms) are inconsistent by
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #278.
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9777) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (36), (373), (9775), (9777),
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #286.
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9778) all_57_15 = e1 & op(e0, e0) = e1
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9778) implies:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9779) op(e0, e0) = e1
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9218), (9779), (function-axioms) are
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2183.
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9780) all_57_3 = e1 & op(e2, e2) = e1
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9780) implies:
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9781) op(e2, e2) = e1
% 223.10/38.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9684), (9687), (9692), (9781),
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1843.
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9782) (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_13 =
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9782) gives:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9783) all_57_7 = e1 & op(e1, e2) = e1
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9783) implies:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9784) all_57_7 = e1
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (374), (9217), (9768), (9784),
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1245.
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9785) all_57_13 = e1 & op(e0, e2) = e1
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9785) implies:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9786) all_57_13 = e1
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9765) gives:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9787) all_55_9 = e1
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (9787) imply:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9788) all_53_6 = e1
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9788) implies:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9789) all_53_6 = e1
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (9789) imply:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9790) ~ (all_53_7 = e1)
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9790) implies:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9791) ~ (all_53_7 = e1)
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9739), (9789) imply:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9792) ~ (e3 = e1)
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9230), (9789) imply:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9793) ~ (e2 = e1)
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9794) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9794) gives:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9795) all_57_1 = e0 & op(e3, e2) = e0
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9795) implies:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9796) op(e3, e2) = e0
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (136), (171), (246), (9231), (9705), (9791),
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9796), (function-axioms) are inconsistent by
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #327.
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9797) all_57_3 = e0 & op(e2, e2) = e0
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9797) implies:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9798) op(e2, e2) = e0
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9218), (9684), (9687), (9798),
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1229.
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9799) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9799) gives:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9800) all_57_7 = e0 & op(e1, e2) = e0
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (9675), (9800), (function-axioms) are
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2039.
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9801) all_57_13 = e0 & op(e0, e2) = e0
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9801) implies:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9802) all_57_13 = e0
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9786), (9802) imply:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9803) e1 = e0
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7581), (9803) imply:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9804) all_57_0 = e0
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (39), (160), (168),
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (232), (374), (7573), (7575),
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9691), (9762), (9804), (function-axioms) are
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1678.
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9805) all_55_9 = e0
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (9675), (9805) are inconsistent by
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2272.
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9806) all_57_7 = e2 & op(e1, e2) = e2
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9806) implies:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9807) all_57_7 = e2
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (208),
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (211), (212), (217), (226), (227), (228),
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (374), (9217), (9218), (9235), (9807),
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #275.
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9808) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_11 =
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9808) gives:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9809) all_57_8 = e2 & op(e1, e1) = e2
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9809) implies:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9810) all_57_8 = e2
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9691), (9810) are inconsistent by sub-proof
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1957.
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9811) all_57_11 = e2 & op(e1, e0) = e2
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9811) implies:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9812) op(e1, e0) = e2
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (82), (199), (9670), (9673), (9683), (9686),
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9692), (9697), (9698), (9699), (9812),
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1945.
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | (9813) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | (212), (374), (9217), (9813), (function-axioms)
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1786.
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | (9814) all_57_11 = e0 & op(e1, e0) = e0
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (9677), (9814), (function-axioms) are
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2341.
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | (9815) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 223.10/38.01 | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | BETA: splitting (9815) gives:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | (9816) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | ALPHA: (9816) implies:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | (9817) op(e1, e1) = all_52_21
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | (9818) op(all_52_21, all_52_21) = e1
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | (9819) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (164), (9674), (9675), (9819),
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | #2038.
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | (9820) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9820) gives:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | (9821) all_57_8 = e0 & op(e1, e1) = e0
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9218), (9817), (9818), (9821),
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | #601.
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | (9822) all_57_11 = e0 & op(e1, e0) = e0
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (9677), (9822), (function-axioms) are
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2341.
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | (9823) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | ALPHA: (9823) implies:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | (9824) op(e0, e0) = all_52_31
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | (9825) op(all_52_31, all_52_31) = e0
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7582), (9218), (9824), (9825),
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | #283.
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | Case 2:
% 223.10/38.01 | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | (9826) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 223.10/38.01 | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 223.10/38.01 | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | BETA: splitting (9826) gives:
% 223.10/38.01 | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | Case 1:
% 223.10/38.01 | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | (9827) all_57_7 = e2 & op(e1, e2) = e2
% 223.10/38.01 | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | ALPHA: (9827) implies:
% 223.10/38.01 | | | | | | | | | | | | | | | | (9828) all_57_7 = e2
% 223.10/38.01 | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (208),
% 223.10/38.01 | | | | | | | | | | | | | | | | (209), (211), (212), (217), (226), (227), (228),
% 223.10/38.01 | | | | | | | | | | | | | | | | (229), (374), (9217), (9218), (9235), (9828),
% 223.10/38.01 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.01 | | | | | | | | | | | | | | | | #275.
% 223.10/38.01 | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | Case 2:
% 223.10/38.01 | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | (9829) all_57_13 = e2 & op(e0, e2) = e2
% 223.10/38.01 | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | ALPHA: (9829) implies:
% 223.10/38.01 | | | | | | | | | | | | | | | | (9830) op(e0, e2) = e2
% 223.10/38.01 | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | REF_CLOSE: (159), (9231), (9830), (function-axioms) are
% 223.10/38.01 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2335.
% 223.10/38.01 | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | Case 2:
% 223.10/38.01 | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | (9831) all_55_5 = e1 | all_55_5 = e0
% 223.10/38.01 | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | REF_CLOSE: (266), (9220), (9222), (9831) are inconsistent by
% 223.10/38.01 | | | | | | | | | | | | | | sub-proof #1857.
% 223.10/38.01 | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | Case 2:
% 223.10/38.01 | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | (9832) all_16_2 = e1
% 223.10/38.01 | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | COMBINE_EQS: (324), (9832) imply:
% 223.10/38.01 | | | | | | | | | | | | (9833) all_8_2 = e1
% 223.10/38.01 | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | SIMP: (9833) implies:
% 223.10/38.01 | | | | | | | | | | | | (9834) all_8_2 = e1
% 223.10/38.01 | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | REDUCE: (356), (9834) imply:
% 223.10/38.01 | | | | | | | | | | | | (9835) ~ (all_53_7 = e1)
% 223.10/38.01 | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | REDUCE: (360), (9834) imply:
% 223.10/38.01 | | | | | | | | | | | | (9836) ~ (all_53_13 = e1)
% 223.10/38.01 | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | REDUCE: (375), (9834) imply:
% 223.10/38.01 | | | | | | | | | | | | (9837) ~ (e3 = e1)
% 223.10/38.01 | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | REDUCE: (42), (9834) imply:
% 223.10/38.01 | | | | | | | | | | | | (9838) op(e2, e2) = e1
% 223.10/38.01 | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | BETA: splitting (211) gives:
% 223.10/38.01 | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | Case 1:
% 223.10/38.01 | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | (9839) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 =
% 223.10/38.01 | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 223.10/38.01 | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | BETA: splitting (9839) gives:
% 223.10/38.01 | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | Case 1:
% 223.10/38.01 | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | (9840) all_57_9 = e1 & op(e3, e0) = e1
% 223.10/38.01 | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | REF_CLOSE: (169), (7578), (9840), (function-axioms) are
% 223.10/38.01 | | | | | | | | | | | | | | inconsistent by sub-proof #2131.
% 223.10/38.01 | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | Case 2:
% 223.10/38.01 | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | (9841) all_57_10 = e1 & op(e2, e0) = e1
% 223.10/38.01 | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | REF_CLOSE: (165), (9836), (9841), (function-axioms) are
% 223.10/38.01 | | | | | | | | | | | | | | inconsistent by sub-proof #2084.
% 223.10/38.01 | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | Case 2:
% 223.10/38.01 | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | (9842) (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 =
% 223.10/38.01 | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 223.10/38.01 | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | BETA: splitting (9842) gives:
% 223.10/38.01 | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | Case 1:
% 223.10/38.01 | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | (9843) all_57_11 = e1 & op(e1, e0) = e1
% 223.10/38.01 | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | ALPHA: (9843) implies:
% 223.10/38.01 | | | | | | | | | | | | | | (9844) op(e1, e0) = e1
% 223.10/38.01 | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 223.10/38.01 | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | Case 1:
% 223.10/38.01 | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | (9845) (all_57_12 = e1 & op(e0, e3) = e1) | (all_57_13 =
% 223.10/38.01 | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 223.10/38.01 | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | BETA: splitting (9845) gives:
% 223.10/38.01 | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | Case 1:
% 223.10/38.01 | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | (9846) all_57_12 = e1 & op(e0, e3) = e1
% 223.10/38.01 | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | REF_CLOSE: (160), (7575), (9846), (function-axioms) are
% 223.10/38.01 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1947.
% 223.10/38.01 | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | Case 2:
% 223.10/38.01 | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | (9847) all_57_13 = e1 & op(e0, e2) = e1
% 223.10/38.01 | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | REF_CLOSE: (159), (9835), (9847), (function-axioms) are
% 223.10/38.01 | | | | | | | | | | | | | | | | inconsistent by sub-proof #330.
% 223.10/38.01 | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | Case 2:
% 223.10/38.01 | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | (9848) (all_57_14 = e1 & op(e0, e1) = e1) | (all_57_15 =
% 223.10/38.01 | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 223.10/38.01 | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | BETA: splitting (9848) gives:
% 223.10/38.01 | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | Case 1:
% 223.10/38.01 | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | (9849) all_57_14 = e1 & op(e0, e1) = e1
% 223.10/38.01 | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | ALPHA: (9849) implies:
% 223.10/38.01 | | | | | | | | | | | | | | | | (9850) op(e0, e1) = e1
% 223.10/38.01 | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_11,
% 223.10/38.01 | | | | | | | | | | | | | | | | e1, e1, e0, simplifying with (158), (9850) gives:
% 223.10/38.01 | | | | | | | | | | | | | | | | (9851) all_53_11 = e1
% 223.10/38.01 | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_14,
% 223.10/38.01 | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (161), (9844) gives:
% 223.10/38.01 | | | | | | | | | | | | | | | | (9852) all_53_14 = e1
% 223.10/38.01 | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | REDUCE: (119), (9851) imply:
% 223.10/38.01 | | | | | | | | | | | | | | | | (9853) ~ (all_53_9 = e1)
% 223.10/38.01 | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 223.10/38.01 | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.01 | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | (9854) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.10/38.01 | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.10/38.01 | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.10/38.01 | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.10/38.01 | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.10/38.01 | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.10/38.01 | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.10/38.01 | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 223.10/38.01 | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 223.10/38.01 | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 223.10/38.01 | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 223.10/38.01 | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 223.10/38.01 | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 223.10/38.01 | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 223.10/38.01 | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 223.10/38.01 | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | BETA: splitting (9854) gives:
% 223.10/38.01 | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.01 | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | (9855) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.10/38.01 | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.10/38.01 | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.10/38.01 | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.10/38.01 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.10/38.01 | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.10/38.01 | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.10/38.01 | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 223.10/38.01 | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (7582), (9855), (function-axioms) are
% 223.10/38.01 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #360.
% 223.10/38.01 | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.01 | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | (9856) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 223.10/38.01 | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 223.10/38.01 | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 223.10/38.01 | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 223.10/38.01 | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 223.10/38.01 | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 223.10/38.01 | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 223.10/38.01 | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 223.10/38.01 | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | ALPHA: (9856) implies:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | (9857) op(e2, e0) = all_52_15
% 223.10/38.01 | | | | | | | | | | | | | | | | | | (9858) op(e2, e1) = all_52_13
% 223.10/38.01 | | | | | | | | | | | | | | | | | | (9859) op(e2, e2) = all_52_11
% 223.10/38.01 | | | | | | | | | | | | | | | | | | (9860) op(all_52_15, all_52_15) = e0
% 223.10/38.01 | | | | | | | | | | | | | | | | | | (9861) op(all_52_13, all_52_13) = e1
% 223.10/38.01 | | | | | | | | | | | | | | | | | | (9862) op(all_52_11, all_52_11) = e2
% 223.10/38.01 | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_13,
% 223.10/38.01 | | | | | | | | | | | | | | | | | | all_52_15, e0, e2, simplifying with (165), (9857)
% 223.10/38.01 | | | | | | | | | | | | | | | | | | gives:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | (9863) all_53_13 = all_52_15
% 223.10/38.01 | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_9,
% 223.10/38.01 | | | | | | | | | | | | | | | | | | all_52_13, e1, e2, simplifying with (166), (9858)
% 223.10/38.01 | | | | | | | | | | | | | | | | | | gives:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | (9864) all_53_9 = all_52_13
% 223.10/38.01 | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 223.10/38.01 | | | | | | | | | | | | | | | | | | all_52_11, e2, e2, simplifying with (9838), (9859)
% 223.10/38.01 | | | | | | | | | | | | | | | | | | gives:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | (9865) all_52_11 = e1
% 223.10/38.01 | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (9863) imply:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | (9866) all_55_7 = all_52_15
% 223.10/38.01 | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (9864) imply:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | (9867) all_55_6 = all_52_13
% 223.10/38.01 | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | REDUCE: (124), (9864) imply:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | (9868) ~ (all_53_8 = all_52_13)
% 223.10/38.01 | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | REDUCE: (364), (9864) imply:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | (9869) ~ (all_52_13 = all_6_2)
% 223.10/38.01 | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | REDUCE: (9853), (9864) imply:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | (9870) ~ (all_52_13 = e1)
% 223.10/38.01 | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | REDUCE: (114), (9863) imply:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | (9871) ~ (all_53_12 = all_52_15)
% 223.10/38.01 | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | REDUCE: (9210), (9863) imply:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | (9872) ~ (all_52_15 = e3)
% 223.10/38.01 | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | REDUCE: (9836), (9863) imply:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | (9873) ~ (all_52_15 = e1)
% 223.10/38.01 | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | REDUCE: (9862), (9865) imply:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | (9874) op(e1, e1) = e2
% 223.10/38.01 | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2, e2,
% 223.10/38.01 | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (39), (9874) gives:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | (9875) all_6_2 = e2
% 223.10/38.01 | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | REDUCE: (363), (9875) imply:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | (9876) ~ (all_53_8 = e2)
% 223.10/38.01 | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | REDUCE: (9869), (9875) imply:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | (9877) ~ (all_52_13 = e2)
% 223.10/38.01 | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 223.10/38.01 | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | (9878) all_55_3 = e3
% 223.10/38.01 | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (9209), (9878) are inconsistent by
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | sub-proof #2169.
% 223.10/38.01 | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | (9879) all_55_3 = e2 | all_55_3 = e1 | all_55_3 = e0
% 223.10/38.01 | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | (9880) all_55_7 = e3
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9866), (9872), (9880) are inconsistent by
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | sub-proof #2063.
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | (9881) ~ (all_55_7 = e3)
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | (9882) all_55_7 = e2 | all_55_7 = e1 | all_55_7 = e0
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | (9883) all_55_2 = e3
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (9883) imply:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | (9884) all_53_8 = e3
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | SIMP: (9884) implies:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | (9885) all_53_8 = e3
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | REDUCE: (9868), (9885) imply:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | (9886) ~ (all_52_13 = e3)
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | SIMP: (9886) implies:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | (9887) ~ (all_52_13 = e3)
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | (9888) all_55_6 = e3
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9867), (9887), (9888) are inconsistent by
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | sub-proof #318.
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | (9889) all_55_6 = e2 | all_55_6 = e1 | all_55_6 = e0
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9218), (9861), (9867), (9870), (9877),
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | (9889), (function-axioms) are inconsistent by
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1116.
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | (9890) all_55_2 = e2 | all_55_2 = e1 | all_55_2 = e0
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9890) gives:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | (9891) all_55_2 = e2
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (9876), (9891) are inconsistent by
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2027.
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.01 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | (9892) all_55_2 = e1 | all_55_2 = e0
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9892) gives:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | (9893) all_55_2 = e1
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (7577), (9893) are inconsistent by
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2032.
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | (9894) all_55_2 = e0
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (9894) imply:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | (9895) all_53_8 = e0
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9895) implies:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | (9896) all_53_8 = e0
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (9896) imply:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | (9897) ~ (all_53_12 = e0)
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9897) implies:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | (9898) ~ (all_53_12 = e0)
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9879) gives:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | (9899) all_55_3 = e2
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (9899) imply:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | (9900) all_53_12 = e2
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9900) implies:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | (9901) all_53_12 = e2
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9871), (9901) imply:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | (9902) ~ (all_52_15 = e2)
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9902) implies:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | (9903) ~ (all_52_15 = e2)
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9218), (9860), (9866), (9872), (9873), (9882),
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | (9903), (function-axioms) are inconsistent by
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #276.
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | (9904) all_55_3 = e1 | all_55_3 = e0
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (7578), (9898), (9904) are inconsistent by
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2132.
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.02 | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.02 | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | End of split
% 223.10/38.02 | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.02 | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | (9905) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 223.10/38.02 | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 223.10/38.02 | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.10/38.02 | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 223.10/38.02 | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 223.10/38.02 | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 223.10/38.02 | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 223.10/38.02 | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 223.10/38.02 | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 223.10/38.02 | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/38.02 | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/38.02 | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 223.10/38.02 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 223.10/38.02 | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 223.10/38.02 | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 223.10/38.02 | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 223.10/38.02 | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | BETA: splitting (9905) gives:
% 223.10/38.02 | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.02 | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | (9906) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 223.10/38.02 | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 223.10/38.02 | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.10/38.02 | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 223.10/38.02 | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 223.10/38.02 | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 223.10/38.02 | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 223.10/38.02 | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 223.10/38.02 | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | ALPHA: (9906) implies:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | (9907) op(e1, e0) = all_52_23
% 223.10/38.02 | | | | | | | | | | | | | | | | | | (9908) op(e1, e1) = all_52_21
% 223.10/38.02 | | | | | | | | | | | | | | | | | | (9909) op(all_52_23, all_52_23) = e0
% 223.10/38.02 | | | | | | | | | | | | | | | | | | (9910) op(all_52_21, all_52_21) = e1
% 223.10/38.02 | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 223.10/38.02 | | | | | | | | | | | | | | | | | | all_52_23, e0, e1, simplifying with (9844), (9907)
% 223.10/38.02 | | | | | | | | | | | | | | | | | | gives:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | (9911) all_52_23 = e1
% 223.10/38.02 | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 223.10/38.02 | | | | | | | | | | | | | | | | | | all_52_21, e1, e1, simplifying with (39), (9908)
% 223.10/38.02 | | | | | | | | | | | | | | | | | | gives:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | (9912) all_52_21 = all_6_2
% 223.10/38.02 | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | REDUCE: (9910), (9912) imply:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | (9913) op(all_6_2, all_6_2) = e1
% 223.10/38.02 | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | REDUCE: (9909), (9911) imply:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | (9914) op(e1, e1) = e0
% 223.10/38.02 | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2, e0,
% 223.10/38.02 | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (39), (9914) gives:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | (9915) all_6_2 = e0
% 223.10/38.02 | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | REDUCE: (9913), (9915) imply:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | (9916) op(e0, e0) = e1
% 223.10/38.02 | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9218), (9916), (function-axioms) are
% 223.10/38.02 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2183.
% 223.10/38.02 | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.02 | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | (9917) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 223.10/38.02 | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/38.02 | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/38.02 | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 223.10/38.02 | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 223.10/38.02 | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 223.10/38.02 | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 223.10/38.02 | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 223.10/38.02 | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | ALPHA: (9917) implies:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | (9918) op(e0, e0) = all_52_31
% 223.10/38.02 | | | | | | | | | | | | | | | | | | (9919) op(all_52_31, all_52_31) = e0
% 223.10/38.02 | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7582), (9218), (9918), (9919),
% 223.10/38.02 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.02 | | | | | | | | | | | | | | | | | | #283.
% 223.10/38.02 | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | End of split
% 223.10/38.02 | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | End of split
% 223.10/38.02 | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | Case 2:
% 223.10/38.02 | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | (9920) all_57_15 = e1 & op(e0, e0) = e1
% 223.10/38.02 | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | ALPHA: (9920) implies:
% 223.10/38.02 | | | | | | | | | | | | | | | | (9921) op(e0, e0) = e1
% 223.10/38.02 | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9218), (9921), (function-axioms) are
% 223.10/38.02 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2183.
% 223.10/38.02 | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | End of split
% 223.10/38.02 | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | End of split
% 223.10/38.02 | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | Case 2:
% 223.10/38.02 | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | (9922) all_57_15 = e1 & op(e0, e0) = e1
% 223.10/38.02 | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | ALPHA: (9922) implies:
% 223.10/38.02 | | | | | | | | | | | | | | (9923) op(e0, e0) = e1
% 223.10/38.02 | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | REF_CLOSE: (8), (9218), (9923), (function-axioms) are
% 223.10/38.02 | | | | | | | | | | | | | | inconsistent by sub-proof #2183.
% 223.10/38.02 | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | End of split
% 223.10/38.02 | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | End of split
% 223.10/38.02 | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | End of split
% 223.10/38.02 | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | Case 2:
% 223.10/38.02 | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | (9924) all_14_2 = e0
% 223.10/38.02 | | | | | | | | | | | (9925) ( ~ (all_14_0 = e1) & op(all_14_1, e2) = all_14_0
% 223.10/38.02 | | | | | | | | | | | & op(e2, e0) = all_14_1 & $i(all_14_0) &
% 223.10/38.02 | | | | | | | | | | | $i(all_14_1)) | ( ~ (all_14_1 = e3) & op(e2, e0)
% 223.10/38.02 | | | | | | | | | | | = all_14_1 & $i(all_14_1))
% 223.10/38.02 | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | COMBINE_EQS: (328), (9924) imply:
% 223.10/38.02 | | | | | | | | | | | (9926) all_8_2 = e0
% 223.10/38.02 | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | SIMP: (9926) implies:
% 223.10/38.02 | | | | | | | | | | | (9927) all_8_2 = e0
% 223.10/38.02 | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | COMBINE_EQS: (290), (9927) imply:
% 223.10/38.02 | | | | | | | | | | | (9928) all_50_2 = e0
% 223.10/38.02 | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | REDUCE: (349), (9927) imply:
% 223.10/38.02 | | | | | | | | | | | (9929) ~ (all_53_1 = e0)
% 223.10/38.02 | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | REDUCE: (352), (9927) imply:
% 223.10/38.02 | | | | | | | | | | | (9930) ~ (all_53_4 = e0)
% 223.10/38.02 | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | REDUCE: (354), (9927) imply:
% 223.10/38.02 | | | | | | | | | | | (9931) ~ (all_53_6 = e0)
% 223.10/38.02 | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | REDUCE: (356), (9927) imply:
% 223.10/38.02 | | | | | | | | | | | (9932) ~ (all_53_7 = e0)
% 223.10/38.02 | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | REDUCE: (358), (9927) imply:
% 223.10/38.02 | | | | | | | | | | | (9933) ~ (all_53_9 = e0)
% 223.10/38.02 | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | REDUCE: (360), (9927) imply:
% 223.10/38.02 | | | | | | | | | | | (9934) ~ (all_53_13 = e0)
% 223.10/38.02 | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | REDUCE: (375), (9927) imply:
% 223.10/38.02 | | | | | | | | | | | (9935) ~ (e3 = e0)
% 223.10/38.02 | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | BETA: splitting (222) gives:
% 223.10/38.02 | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | Case 1:
% 223.10/38.02 | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | (9936) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 223.10/38.02 | | | | | | | | | | | | & op(e2, e2) = e0)
% 223.10/38.02 | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | BETA: splitting (9936) gives:
% 223.10/38.02 | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | Case 1:
% 223.10/38.02 | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | (9937) all_57_2 = e0 & op(e2, e3) = e0
% 223.10/38.02 | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | ALPHA: (9937) implies:
% 223.10/38.02 | | | | | | | | | | | | | (9938) op(e2, e3) = e0
% 223.10/38.02 | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | REF_CLOSE: (168), (9929), (9938), (function-axioms) are
% 223.10/38.02 | | | | | | | | | | | | | inconsistent by sub-proof #1943.
% 223.10/38.02 | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | Case 2:
% 223.10/38.02 | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | (9939) all_57_3 = e0 & op(e2, e2) = e0
% 223.10/38.02 | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | ALPHA: (9939) implies:
% 223.10/38.02 | | | | | | | | | | | | | (9940) all_57_3 = e0
% 223.10/38.02 | | | | | | | | | | | | | (9941) op(e2, e2) = e0
% 223.10/38.02 | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | BETA: splitting (107) gives:
% 223.10/38.02 | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | Case 1:
% 223.10/38.02 | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | (9942) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.10/38.02 | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.10/38.02 | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.10/38.02 | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.10/38.02 | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.10/38.02 | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.10/38.02 | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.10/38.02 | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 223.10/38.02 | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 223.10/38.02 | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 223.10/38.02 | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 223.10/38.02 | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 223.10/38.02 | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 223.10/38.02 | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 223.10/38.02 | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 223.10/38.02 | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | BETA: splitting (9942) gives:
% 223.10/38.02 | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | Case 1:
% 223.10/38.02 | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | (9943) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.10/38.02 | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.10/38.02 | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.10/38.02 | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.10/38.02 | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.10/38.02 | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.10/38.02 | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.10/38.02 | | | | | | | | | | | | | | | $i(all_52_7)
% 223.10/38.02 | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (7582), (9943), (function-axioms) are
% 223.10/38.02 | | | | | | | | | | | | | | | inconsistent by sub-proof #360.
% 223.10/38.02 | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | Case 2:
% 223.10/38.02 | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | (9944) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 223.10/38.02 | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 223.10/38.02 | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 223.10/38.02 | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 223.10/38.02 | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 223.10/38.02 | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 223.10/38.02 | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 223.10/38.02 | | | | | | | | | | | | | | | $i(all_52_15)
% 223.10/38.02 | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | ALPHA: (9944) implies:
% 223.10/38.02 | | | | | | | | | | | | | | | (9945) op(e2, e2) = all_52_11
% 223.10/38.02 | | | | | | | | | | | | | | | (9946) op(all_52_11, all_52_11) = e2
% 223.10/38.02 | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | REF_CLOSE: (9), (9218), (9941), (9945), (9946),
% 223.10/38.02 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.02 | | | | | | | | | | | | | | | #1229.
% 223.10/38.02 | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | End of split
% 223.10/38.02 | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | Case 2:
% 223.10/38.02 | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | (9947) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 223.10/38.02 | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 223.10/38.02 | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.10/38.02 | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 223.10/38.02 | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 223.10/38.02 | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 223.10/38.02 | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 223.10/38.02 | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 223.10/38.02 | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 223.10/38.02 | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/38.02 | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/38.02 | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 223.10/38.02 | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 223.10/38.02 | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 223.10/38.02 | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 223.10/38.02 | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 223.10/38.02 | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | BETA: splitting (9947) gives:
% 223.10/38.02 | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | Case 1:
% 223.10/38.02 | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | (9948) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 223.10/38.02 | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 223.10/38.02 | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.10/38.02 | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 223.10/38.02 | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 223.10/38.02 | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 223.10/38.02 | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 223.10/38.02 | | | | | | | | | | | | | | | $i(all_52_23)
% 223.10/38.02 | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | ALPHA: (9948) implies:
% 223.10/38.02 | | | | | | | | | | | | | | | (9949) op(e1, e1) = all_52_21
% 223.10/38.02 | | | | | | | | | | | | | | | (9950) op(e1, e2) = all_52_19
% 223.10/38.02 | | | | | | | | | | | | | | | (9951) op(e1, e3) = all_52_17
% 223.10/38.02 | | | | | | | | | | | | | | | (9952) op(all_52_21, all_52_21) = e1
% 223.10/38.02 | | | | | | | | | | | | | | | (9953) op(all_52_19, all_52_19) = e2
% 223.10/38.02 | | | | | | | | | | | | | | | (9954) op(all_52_17, all_52_17) = e3
% 223.10/38.02 | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 223.10/38.02 | | | | | | | | | | | | | | | all_52_21, e1, e1, simplifying with (39), (9949)
% 223.10/38.02 | | | | | | | | | | | | | | | gives:
% 223.10/38.02 | | | | | | | | | | | | | | | (9955) all_52_21 = all_6_2
% 223.10/38.02 | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_6,
% 223.10/38.02 | | | | | | | | | | | | | | | all_52_19, e2, e1, simplifying with (163), (9950)
% 223.10/38.02 | | | | | | | | | | | | | | | gives:
% 223.10/38.02 | | | | | | | | | | | | | | | (9956) all_53_6 = all_52_19
% 223.10/38.02 | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_2,
% 223.10/38.02 | | | | | | | | | | | | | | | all_52_17, e3, e1, simplifying with (164), (9951)
% 223.10/38.02 | | | | | | | | | | | | | | | gives:
% 223.10/38.02 | | | | | | | | | | | | | | | (9957) all_53_2 = all_52_17
% 223.10/38.02 | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | COMBINE_EQS: (256), (9956) imply:
% 223.10/38.02 | | | | | | | | | | | | | | | (9958) all_55_9 = all_52_19
% 223.10/38.02 | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | REDUCE: (129), (9956) imply:
% 223.10/38.02 | | | | | | | | | | | | | | | (9959) ~ (all_53_7 = all_52_19)
% 223.10/38.02 | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | SIMP: (9959) implies:
% 223.10/38.02 | | | | | | | | | | | | | | | (9960) ~ (all_53_7 = all_52_19)
% 223.10/38.02 | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | REDUCE: (9931), (9956) imply:
% 223.10/38.02 | | | | | | | | | | | | | | | (9961) ~ (all_52_19 = e0)
% 223.10/38.02 | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | REDUCE: (9952), (9955) imply:
% 223.10/38.02 | | | | | | | | | | | | | | | (9962) op(all_6_2, all_6_2) = e1
% 223.10/38.02 | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 223.10/38.02 | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | Case 1:
% 223.10/38.02 | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | (9963) ~ (all_24_2 = e0)
% 223.10/38.02 | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | REDUCE: (315), (9963) imply:
% 223.10/38.02 | | | | | | | | | | | | | | | | (9964) ~ (all_6_2 = e0)
% 223.10/38.02 | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 223.10/38.02 | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.02 | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | (9965) ~ (all_38_2 = e2)
% 223.10/38.02 | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | REDUCE: (249), (9965) imply:
% 223.10/38.02 | | | | | | | | | | | | | | | | | (9966) ~ (all_6_2 = e2)
% 223.10/38.02 | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 223.10/38.02 | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.02 | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | (9967) all_55_10 = e3
% 223.10/38.02 | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (374), (9967) are inconsistent by sub-proof
% 223.10/38.02 | | | | | | | | | | | | | | | | | | #2500.
% 223.10/38.02 | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.02 | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | (9968) ~ (all_55_10 = e3)
% 223.10/38.02 | | | | | | | | | | | | | | | | | | (9969) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 223.10/38.02 | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | BETA: splitting (9969) gives:
% 223.10/38.02 | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | (9970) all_55_10 = e2
% 223.10/38.02 | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (9966), (9970) are inconsistent by
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | sub-proof #2499.
% 223.10/38.02 | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | (9971) ~ (all_55_10 = e2)
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | (9972) all_55_10 = e1 | all_55_10 = e0
% 223.10/38.02 | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | BETA: splitting (9972) gives:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | (9973) all_55_10 = e1
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (9973) imply:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | (9974) all_6_2 = e1
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | SIMP: (9974) implies:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | (9975) all_6_2 = e1
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | REDUCE: (374), (9975) imply:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | (9976) ~ (e3 = e1)
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | REDUCE: (9966), (9975) imply:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | (9977) ~ (e2 = e1)
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (9975) imply:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | (9978) op(e1, e1) = e1
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | (9979) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 =
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9979) gives:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | (9980) all_57_9 = e1 & op(e3, e0) = e1
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (7578), (9980), (function-axioms) are
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2131.
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | (9981) all_57_10 = e1 & op(e2, e0) = e1
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9981) implies:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | (9982) op(e2, e0) = e1
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | (9983) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9983) gives:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | (9984) all_57_1 = e1 & op(e3, e2) = e1
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9984) implies:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | (9985) all_57_1 = e1
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | (9986) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9986) gives:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (9987) all_57_1 = e3 & op(e3, e2) = e3
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9985), (9987) are inconsistent by sub-proof
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | #2196.
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (9988) all_57_3 = e3 & op(e2, e2) = e3
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9940), (9988) are inconsistent by sub-proof
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | #1309.
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | (9989) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9989) gives:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (9990) all_57_7 = e3 & op(e1, e2) = e3
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9990) implies:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (9991) all_57_7 = e3
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9992) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9941), (9985), (9992),
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2208.
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9993) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9993) gives:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9994) all_57_7 = e2 & op(e1, e2) = e2
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9991), (9994) are inconsistent by sub-proof
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2092.
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9995) all_57_13 = e2 & op(e0, e2) = e2
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9995) implies:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9996) all_57_13 = e2
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9997) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_1 = e3
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9997) gives:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9998) all_57_0 = e3 & op(e3, e3) = e3
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9998) implies:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9999) op(e3, e3) = e3
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (67), (88),
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (94), (107), (121), (124), (134), (135), (137),
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (166), (169), (170), (171), (195), (202),
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (204), (207), (208), (209), (211), (212),
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (225), (227), (228), (229),
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (249), (268), (269), (270), (315), (332),
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (336), (363), (364), (374), (9209), (9217),
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9218), (9930), (9933), (9940), (9999),
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1415.
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10000) all_57_1 = e3 & op(e3, e2) = e3
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10000) implies:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10001) all_57_1 = e3
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (227), (9940), (9991), (9996),
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10001) are inconsistent by sub-proof #1779.
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10002) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_9 = e3
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10002) gives:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10003) all_57_4 = e3 & op(e3, e1) = e3
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10003) implies:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10004) all_57_4 = e3
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10005) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10005) gives:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10006) all_57_4 = e0 & op(e3, e1) = e0
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10006) implies:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10007) all_57_4 = e0
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10004), (10007) imply:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10008) e3 = e0
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9991), (10008) imply:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10009) all_57_7 = e0
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (227), (228), (229),
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9940), (9941), (9985), (10009), (function-axioms)
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1378.
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10010) all_57_5 = e0 & op(e2, e1) = e0
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (9933), (10010), (function-axioms) are
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2023.
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10011) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10011) gives:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10012) all_57_8 = e0 & op(e1, e1) = e0
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10012) implies:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10013) op(e1, e1) = e0
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9978), (10013), (function-axioms) are
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2427.
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10014) all_57_14 = e0 & op(e0, e1) = e0
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10014) implies:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10015) all_57_14 = e0
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10016) (all_57_12 = e1 & op(e0, e3) = e1) | (all_57_13 =
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10016) gives:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10017) all_57_12 = e1 & op(e0, e3) = e1
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (7575), (10017), (function-axioms) are
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1947.
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10018) all_57_13 = e1 & op(e0, e2) = e1
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10018) implies:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10019) all_57_13 = e1
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (228), (229), (9940),
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9941), (9985), (10019), (function-axioms) are
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1193.
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10020) (all_57_14 = e1 & op(e0, e1) = e1) | (all_57_15 =
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10020) gives:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10021) all_57_14 = e1 & op(e0, e1) = e1
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10021) implies:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10022) all_57_14 = e1
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10015), (10022) imply:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10023) e1 = e0
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10023) implies:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10024) e1 = e0
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7581), (10024) imply:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10025) all_57_0 = e0
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (39), (160), (168), (195), (232), (336),
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (7573), (7575), (9951), (9954), (10025),
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1545.
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10026) all_57_15 = e1 & op(e0, e0) = e1
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10026) implies:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10027) op(e0, e0) = e1
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9218), (10027), (function-axioms) are
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2183.
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10028) all_57_9 = e3 & op(e3, e0) = e3
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10028) implies:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10029) op(e3, e0) = e3
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9209), (10029), (function-axioms) are
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2458.
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (10030) all_57_13 = e3 & op(e0, e2) = e3
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10030) implies:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (10031) all_57_13 = e3
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (207), (208),
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (9217), (9218), (9932), (10031),
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | #366.
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | (10032) all_57_3 = e1 & op(e2, e2) = e1
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10032) implies:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | (10033) op(e2, e2) = e1
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9941), (10033), (function-axioms) are
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | (10034) (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_13 =
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10034) gives:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | (10035) all_57_7 = e1 & op(e1, e2) = e1
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10035) implies:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | (10036) all_57_7 = e1
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | (212), (214), (216), (217), (374), (9217), (9978),
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | (10036), (function-axioms) are inconsistent by
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1069.
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | (10037) all_57_13 = e1 & op(e0, e2) = e1
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10037) implies:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | (10038) op(e0, e2) = e1
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_7, e1,
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (159), (10038) gives:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | (10039) all_53_7 = e1
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_13,
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (165), (9982) gives:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | (10040) all_53_13 = e1
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9960), (10039) imply:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | (10041) ~ (all_52_19 = e1)
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10041) implies:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | (10042) ~ (all_52_19 = e1)
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | (10043) ~ (all_50_2 = e0)
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9928), (10043) imply:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | (10044) $false
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10044) is inconsistent.
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | (10045) ( ~ (all_50_0 = e3) & op(all_50_1, e2) = all_50_0
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_50_1 & $i(all_50_0) &
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)) | ( ~ (all_50_1 = e1) & op(e2, e0)
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (196), (9925), (9941), (9950), (9953), (9958),
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | (9961), (9982), (10042), (10045),
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | #271.
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | (10046) (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 =
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10046) gives:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | (10047) all_57_11 = e1 & op(e1, e0) = e1
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10047) implies:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | (10048) all_57_11 = e1
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | (10049) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10049) gives:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | (10050) all_57_6 = e0 & op(e1, e3) = e0
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10050) implies:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | (10051) all_57_6 = e0
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | (10052) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10052) gives:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (10053) all_57_6 = e3 & op(e1, e3) = e3
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10053) implies:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (10054) all_57_6 = e3
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10051), (10054) are inconsistent by
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1822.
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (10055) all_57_7 = e3 & op(e1, e2) = e3
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10055) implies:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (10056) all_57_7 = e3
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (216), (9978), (10048), (10051),
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (10056), (function-axioms) are inconsistent by
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1844.
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | (10057) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | (212), (374), (9217), (10057), (function-axioms)
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1786.
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | (10058) all_57_7 = e0 & op(e1, e2) = e0
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10058) implies:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | (10059) all_57_7 = e0
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (39), (216), (217),
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | (374), (9978), (10048), (10059), (function-axioms)
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1931.
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | (10060) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10060) gives:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | (10061) all_57_8 = e0 & op(e1, e1) = e0
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10061) implies:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | (10062) op(e1, e1) = e0
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9978), (10062), (function-axioms) are
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2427.
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | (10063) all_57_11 = e0 & op(e1, e0) = e0
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10063) implies:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | (10064) all_57_11 = e0
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10048), (10064) imply:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | (10065) e1 = e0
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7581), (10065) imply:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | (10066) all_57_0 = e0
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (39), (160), (168), (195), (232), (336),
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | (374), (7573), (7575), (9951), (9954), (10066),
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | | #1545.
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | (10067) all_57_15 = e1 & op(e0, e0) = e1
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10067) implies:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | (10068) op(e0, e0) = e1
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9218), (10068), (function-axioms) are
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2183.
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | (10069) all_55_10 = e0
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (9964), (10069) are inconsistent by
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | | sub-proof #2118.
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.03 | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | (10070) all_38_2 = e2
% 223.10/38.03 | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (10070) imply:
% 223.10/38.03 | | | | | | | | | | | | | | | | | (10071) all_6_2 = e2
% 223.10/38.03 | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | REDUCE: (9962), (10071) imply:
% 223.10/38.03 | | | | | | | | | | | | | | | | | (10072) op(e2, e2) = e1
% 223.10/38.03 | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9941), (10072), (function-axioms) are
% 223.10/38.03 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 223.10/38.03 | | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | Case 2:
% 223.10/38.03 | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | (10073) all_24_2 = e0
% 223.10/38.03 | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | | REF_CLOSE: (8), (315), (9218), (9962), (10073),
% 223.10/38.03 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.03 | | | | | | | | | | | | | | | | #444.
% 223.10/38.03 | | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | Case 2:
% 223.10/38.03 | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | (10074) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 223.10/38.03 | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/38.03 | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/38.03 | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 223.10/38.03 | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 223.10/38.03 | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 223.10/38.03 | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 223.10/38.03 | | | | | | | | | | | | | | | $i(all_52_31)
% 223.10/38.03 | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | ALPHA: (10074) implies:
% 223.10/38.03 | | | | | | | | | | | | | | | (10075) op(e0, e0) = all_52_31
% 223.10/38.03 | | | | | | | | | | | | | | | (10076) op(all_52_31, all_52_31) = e0
% 223.10/38.03 | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | REF_CLOSE: (4), (7582), (9218), (10075), (10076),
% 223.10/38.03 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.03 | | | | | | | | | | | | | | | #283.
% 223.10/38.03 | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | Case 2:
% 223.10/38.03 | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | (10077) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 223.10/38.03 | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 223.10/38.03 | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | REF_CLOSE: (165), (166), (9933), (9934), (10077),
% 223.10/38.03 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.03 | | | | | | | | | | | | #2022.
% 223.10/38.03 | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | |
% 223.10/38.03 | | | | | | | | End of split
% 223.10/38.03 | | | | | | | |
% 223.10/38.03 | | | | | | | End of split
% 223.10/38.03 | | | | | | |
% 223.10/38.03 | | | | | | Case 2:
% 223.10/38.03 | | | | | | |
% 223.10/38.03 | | | | | | | (10078) all_57_2 = e1 & op(e2, e3) = e1
% 223.10/38.03 | | | | | | |
% 223.10/38.03 | | | | | | | REF_CLOSE: (168), (7573), (10078), (function-axioms) are
% 223.10/38.03 | | | | | | | inconsistent by sub-proof #2156.
% 223.10/38.03 | | | | | | |
% 223.10/38.03 | | | | | | End of split
% 223.10/38.03 | | | | | |
% 223.10/38.03 | | | | | Case 2:
% 223.10/38.03 | | | | | |
% 223.10/38.03 | | | | | | (10079) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 = e1 &
% 223.10/38.03 | | | | | | op(e0, e3) = e1)
% 223.10/38.03 | | | | | |
% 223.10/38.03 | | | | | | BETA: splitting (10079) gives:
% 223.10/38.03 | | | | | |
% 223.10/38.03 | | | | | | Case 1:
% 223.10/38.03 | | | | | | |
% 223.10/38.03 | | | | | | | (10080) all_57_6 = e1 & op(e1, e3) = e1
% 223.10/38.03 | | | | | | |
% 223.10/38.03 | | | | | | | REF_CLOSE: (164), (7574), (10080), (function-axioms) are
% 223.10/38.03 | | | | | | | inconsistent by sub-proof #316.
% 223.10/38.03 | | | | | | |
% 223.10/38.03 | | | | | | Case 2:
% 223.10/38.03 | | | | | | |
% 223.10/38.03 | | | | | | | (10081) all_57_12 = e1 & op(e0, e3) = e1
% 223.10/38.03 | | | | | | |
% 223.10/38.03 | | | | | | | REF_CLOSE: (160), (7575), (10081), (function-axioms) are
% 223.10/38.03 | | | | | | | inconsistent by sub-proof #1947.
% 223.10/38.03 | | | | | | |
% 223.10/38.03 | | | | | | End of split
% 223.10/38.03 | | | | | |
% 223.10/38.03 | | | | | End of split
% 223.10/38.03 | | | | |
% 223.10/38.03 | | | | End of split
% 223.10/38.03 | | | |
% 223.10/38.03 | | | Case 2:
% 223.10/38.03 | | | |
% 223.10/38.03 | | | | (10082) all_8_2 = e3
% 223.10/38.03 | | | | (10083) ( ~ (all_8_0 = e0) & op(all_8_1, e2) = all_8_0 & op(e2, e3) =
% 223.10/38.03 | | | | all_8_1 & $i(all_8_0) & $i(all_8_1)) | ( ~ (all_8_1 = e1) &
% 223.10/38.03 | | | | op(e2, e3) = all_8_1 & $i(all_8_1))
% 223.10/38.03 | | | |
% 223.10/38.03 | | | | COMBINE_EQS: (297), (10082) imply:
% 223.10/38.03 | | | | (10084) all_44_2 = e3
% 223.10/38.03 | | | |
% 223.10/38.03 | | | | REDUCE: (349), (10082) imply:
% 223.10/38.03 | | | | (10085) ~ (all_53_1 = e3)
% 223.10/38.03 | | | |
% 223.10/38.03 | | | | REDUCE: (352), (10082) imply:
% 223.10/38.03 | | | | (10086) ~ (all_53_4 = e3)
% 223.10/38.03 | | | |
% 223.10/38.03 | | | | REDUCE: (354), (10082) imply:
% 223.10/38.03 | | | | (10087) ~ (all_53_6 = e3)
% 223.10/38.03 | | | |
% 223.10/38.03 | | | | REDUCE: (356), (10082) imply:
% 223.10/38.03 | | | | (10088) ~ (all_53_7 = e3)
% 223.10/38.03 | | | |
% 223.10/38.03 | | | | REDUCE: (358), (10082) imply:
% 223.10/38.03 | | | | (10089) ~ (all_53_9 = e3)
% 223.10/38.03 | | | |
% 223.10/38.03 | | | | REDUCE: (360), (10082) imply:
% 223.10/38.03 | | | | (10090) ~ (all_53_13 = e3)
% 223.10/38.03 | | | |
% 223.10/38.03 | | | | BETA: splitting (225) gives:
% 223.10/38.03 | | | |
% 223.10/38.03 | | | | Case 1:
% 223.10/38.03 | | | | |
% 223.10/38.03 | | | | | (10091) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3 & op(e2,
% 223.10/38.03 | | | | | e2) = e3)
% 223.10/38.03 | | | | |
% 223.10/38.03 | | | | | BETA: splitting (10091) gives:
% 223.10/38.03 | | | | |
% 223.10/38.03 | | | | | Case 1:
% 223.10/38.03 | | | | | |
% 223.10/38.03 | | | | | | (10092) all_57_2 = e3 & op(e2, e3) = e3
% 223.10/38.03 | | | | | |
% 223.10/38.03 | | | | | | REF_CLOSE: (168), (10085), (10092), (function-axioms) are
% 223.10/38.03 | | | | | | inconsistent by sub-proof #2299.
% 223.10/38.03 | | | | | |
% 223.10/38.03 | | | | | Case 2:
% 223.10/38.03 | | | | | |
% 223.10/38.03 | | | | | | (10093) all_57_3 = e3 & op(e2, e2) = e3
% 223.10/38.03 | | | | | |
% 223.10/38.03 | | | | | | ALPHA: (10093) implies:
% 223.10/38.03 | | | | | | (10094) all_57_3 = e3
% 223.10/38.03 | | | | | | (10095) op(e2, e2) = e3
% 223.10/38.03 | | | | | |
% 223.10/38.03 | | | | | | BETA: splitting (46) gives:
% 223.10/38.03 | | | | | |
% 223.10/38.03 | | | | | | Case 1:
% 223.10/38.03 | | | | | | |
% 223.10/38.03 | | | | | | | (10096) ~ (all_10_2 = e1)
% 223.10/38.03 | | | | | | |
% 223.10/38.03 | | | | | | | BETA: splitting (49) gives:
% 223.10/38.03 | | | | | | |
% 223.10/38.03 | | | | | | | Case 1:
% 223.10/38.03 | | | | | | | |
% 223.10/38.03 | | | | | | | | (10097) ~ (all_12_2 = e3)
% 223.10/38.03 | | | | | | | |
% 223.10/38.03 | | | | | | | | REDUCE: (325), (10097) imply:
% 223.10/38.03 | | | | | | | | (10098) ~ (all_4_2 = e3)
% 223.10/38.03 | | | | | | | |
% 223.10/38.03 | | | | | | | | BETA: splitting (58) gives:
% 223.10/38.03 | | | | | | | |
% 223.10/38.03 | | | | | | | | Case 1:
% 223.10/38.03 | | | | | | | | |
% 223.10/38.03 | | | | | | | | | (10099) ~ (all_18_2 = e0)
% 223.10/38.03 | | | | | | | | |
% 223.10/38.03 | | | | | | | | | REDUCE: (327), (10099) imply:
% 223.10/38.03 | | | | | | | | | (10100) ~ (all_10_2 = e0)
% 223.10/38.03 | | | | | | | | |
% 223.10/38.03 | | | | | | | | | BETA: splitting (61) gives:
% 223.10/38.03 | | | | | | | | |
% 223.10/38.03 | | | | | | | | | Case 1:
% 223.10/38.03 | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | (10101) ~ (all_20_2 = e2)
% 223.10/38.03 | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | REDUCE: (299), (10101) imply:
% 223.10/38.03 | | | | | | | | | | (10102) ~ (all_10_2 = e2)
% 223.10/38.03 | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | BETA: splitting (205) gives:
% 223.10/38.03 | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | Case 1:
% 223.10/38.03 | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | (10103) all_55_0 = e3
% 223.10/38.03 | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | COMBINE_EQS: (277), (10103) imply:
% 223.10/38.03 | | | | | | | | | | | (10104) all_10_2 = e3
% 223.10/38.03 | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | REDUCE: (348), (10104) imply:
% 223.10/38.03 | | | | | | | | | | | (10105) ~ (all_53_12 = e3)
% 223.10/38.03 | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | REDUCE: (45), (10104) imply:
% 223.10/38.03 | | | | | | | | | | | (10106) op(e3, e3) = e3
% 223.10/38.03 | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | BETA: splitting (221) gives:
% 223.10/38.03 | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | Case 1:
% 223.10/38.03 | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | (10107) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 223.10/38.03 | | | | | | | | | | | | & op(e2, e1) = e3)
% 223.10/38.03 | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | BETA: splitting (10107) gives:
% 223.10/38.03 | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | Case 1:
% 223.10/38.03 | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | (10108) all_57_4 = e3 & op(e3, e1) = e3
% 223.10/38.03 | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | ALPHA: (10108) implies:
% 223.10/38.03 | | | | | | | | | | | | | (10109) all_57_4 = e3
% 223.10/38.03 | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (235),
% 223.10/38.03 | | | | | | | | | | | | | (10106), (10109), (function-axioms) are
% 223.10/38.03 | | | | | | | | | | | | | inconsistent by sub-proof #2474.
% 223.10/38.03 | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | Case 2:
% 223.10/38.03 | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | (10110) all_57_5 = e3 & op(e2, e1) = e3
% 223.10/38.03 | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | REF_CLOSE: (166), (10089), (10110), (function-axioms) are
% 223.10/38.03 | | | | | | | | | | | | | inconsistent by sub-proof #270.
% 223.10/38.03 | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | Case 2:
% 223.10/38.03 | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | (10111) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 223.10/38.03 | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 223.10/38.03 | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | BETA: splitting (10111) gives:
% 223.10/38.03 | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | Case 1:
% 223.10/38.03 | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | (10112) all_57_8 = e3 & op(e1, e1) = e3
% 223.10/38.03 | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | ALPHA: (10112) implies:
% 223.10/38.03 | | | | | | | | | | | | | (10113) op(e1, e1) = e3
% 223.10/38.03 | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | REF_CLOSE: (39), (374), (10113), (function-axioms) are
% 223.10/38.03 | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 223.10/38.03 | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | Case 2:
% 223.10/38.03 | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | (10114) all_57_14 = e3 & op(e0, e1) = e3
% 223.10/38.03 | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | ALPHA: (10114) implies:
% 223.10/38.03 | | | | | | | | | | | | | (10115) all_57_14 = e3
% 223.10/38.03 | | | | | | | | | | | | | (10116) op(e0, e1) = e3
% 223.10/38.03 | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | BETA: splitting (217) gives:
% 223.10/38.03 | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | Case 1:
% 223.10/38.03 | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | (10117) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 223.10/38.03 | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 223.10/38.03 | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | BETA: splitting (10117) gives:
% 223.10/38.03 | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | Case 1:
% 223.10/38.03 | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | (10118) all_57_6 = e3 & op(e1, e3) = e3
% 223.10/38.03 | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | ALPHA: (10118) implies:
% 223.10/38.03 | | | | | | | | | | | | | | | (10119) all_57_6 = e3
% 223.10/38.03 | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (171), (230),
% 223.10/38.03 | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (237), (10086),
% 223.10/38.03 | | | | | | | | | | | | | | | (10105), (10106), (10119), (function-axioms) are
% 223.10/38.03 | | | | | | | | | | | | | | | inconsistent by sub-proof #268.
% 223.10/38.03 | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | Case 2:
% 223.10/38.03 | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | (10120) all_57_7 = e3 & op(e1, e2) = e3
% 223.10/38.03 | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | REF_CLOSE: (163), (10087), (10120), (function-axioms) are
% 223.10/38.03 | | | | | | | | | | | | | | | inconsistent by sub-proof #267.
% 223.10/38.03 | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | End of split
% 223.10/38.03 | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | Case 2:
% 223.10/38.03 | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | (10121) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 223.10/38.03 | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 223.10/38.03 | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | BETA: splitting (10121) gives:
% 223.10/38.03 | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | Case 1:
% 223.10/38.03 | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | (10122) all_57_8 = e3 & op(e1, e1) = e3
% 223.10/38.03 | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | ALPHA: (10122) implies:
% 223.10/38.03 | | | | | | | | | | | | | | | (10123) op(e1, e1) = e3
% 223.10/38.03 | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (10123), (function-axioms) are
% 223.10/38.03 | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 223.10/38.03 | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | Case 2:
% 223.10/38.03 | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | (10124) all_57_11 = e3 & op(e1, e0) = e3
% 223.10/38.03 | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | ALPHA: (10124) implies:
% 223.10/38.03 | | | | | | | | | | | | | | | (10125) all_57_11 = e3
% 223.10/38.03 | | | | | | | | | | | | | | | (10126) op(e1, e0) = e3
% 223.10/38.03 | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_11,
% 223.10/38.03 | | | | | | | | | | | | | | | e3, e1, e0, simplifying with (158), (10116) gives:
% 223.10/38.03 | | | | | | | | | | | | | | | (10127) all_53_11 = e3
% 223.10/38.03 | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_14,
% 223.10/38.03 | | | | | | | | | | | | | | | e3, e0, e1, simplifying with (161), (10126) gives:
% 223.10/38.03 | | | | | | | | | | | | | | | (10128) all_53_14 = e3
% 223.10/38.03 | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | REDUCE: (122), (10127) imply:
% 223.10/38.03 | | | | | | | | | | | | | | | (10129) ~ (all_53_8 = e3)
% 223.10/38.03 | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | REDUCE: (368), (10128) imply:
% 223.10/38.03 | | | | | | | | | | | | | | | (10130) ~ (all_6_2 = e3)
% 223.10/38.03 | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | REDUCE: (372), (10128) imply:
% 223.10/38.03 | | | | | | | | | | | | | | | (10131) ~ (all_4_2 = e3)
% 223.10/38.03 | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 223.10/38.03 | | | | | | | | | | | | | | |
% 223.10/38.03 | | | | | | | | | | | | | | | Case 1:
% 223.10/38.03 | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | (10132) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.10/38.04 | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.10/38.04 | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.10/38.04 | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.10/38.04 | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.10/38.04 | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.10/38.04 | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.10/38.04 | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 223.10/38.04 | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 223.10/38.04 | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 223.10/38.04 | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 223.10/38.04 | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 223.10/38.04 | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 223.10/38.04 | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | BETA: splitting (10132) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.04 | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | (10133) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.10/38.04 | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.10/38.04 | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.10/38.04 | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.10/38.04 | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.10/38.04 | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.10/38.04 | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.10/38.04 | | | | | | | | | | | | | | | | | $i(all_52_7)
% 223.10/38.04 | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | ALPHA: (10133) implies:
% 223.10/38.04 | | | | | | | | | | | | | | | | | (10134) op(e3, e0) = all_52_7
% 223.10/38.04 | | | | | | | | | | | | | | | | | (10135) op(e3, e1) = all_52_5
% 223.10/38.04 | | | | | | | | | | | | | | | | | (10136) op(e3, e2) = all_52_3
% 223.10/38.04 | | | | | | | | | | | | | | | | | (10137) op(e3, e3) = all_52_1
% 223.10/38.04 | | | | | | | | | | | | | | | | | (10138) op(all_52_7, all_52_7) = e0
% 223.10/38.04 | | | | | | | | | | | | | | | | | (10139) op(all_52_5, all_52_5) = e1
% 223.10/38.04 | | | | | | | | | | | | | | | | | (10140) op(all_52_3, all_52_3) = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_12,
% 223.10/38.04 | | | | | | | | | | | | | | | | | all_52_7, e0, e3, simplifying with (169), (10134)
% 223.10/38.04 | | | | | | | | | | | | | | | | | gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | (10141) all_53_12 = all_52_7
% 223.10/38.04 | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_8,
% 223.10/38.04 | | | | | | | | | | | | | | | | | all_52_5, e1, e3, simplifying with (170), (10135)
% 223.10/38.04 | | | | | | | | | | | | | | | | | gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | (10142) all_53_8 = all_52_5
% 223.10/38.04 | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_4,
% 223.10/38.04 | | | | | | | | | | | | | | | | | all_52_3, e2, e3, simplifying with (171), (10136)
% 223.10/38.04 | | | | | | | | | | | | | | | | | gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | (10143) all_53_4 = all_52_3
% 223.10/38.04 | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_52_1,
% 223.10/38.04 | | | | | | | | | | | | | | | | | e3, e3, simplifying with (10106), (10137) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | (10144) all_52_1 = e3
% 223.10/38.04 | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (10141) imply:
% 223.10/38.04 | | | | | | | | | | | | | | | | | (10145) all_55_3 = all_52_7
% 223.10/38.04 | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (10142) imply:
% 223.10/38.04 | | | | | | | | | | | | | | | | | (10146) all_55_2 = all_52_5
% 223.10/38.04 | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | REDUCE: (363), (10142) imply:
% 223.10/38.04 | | | | | | | | | | | | | | | | | (10147) ~ (all_52_5 = all_6_2)
% 223.10/38.04 | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | REDUCE: (10129), (10142) imply:
% 223.10/38.04 | | | | | | | | | | | | | | | | | (10148) ~ (all_52_5 = e3)
% 223.10/38.04 | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | REDUCE: (370), (10141) imply:
% 223.10/38.04 | | | | | | | | | | | | | | | | | (10149) ~ (all_52_7 = all_4_2)
% 223.10/38.04 | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | REDUCE: (10105), (10141) imply:
% 223.10/38.04 | | | | | | | | | | | | | | | | | (10150) ~ (all_52_7 = e3)
% 223.10/38.04 | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.04 | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | (10151) ~ (all_24_2 = e0)
% 223.10/38.04 | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | REDUCE: (315), (10151) imply:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | (10152) ~ (all_6_2 = e0)
% 223.10/38.04 | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | (10153) ~ (all_30_2 = e1)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | REDUCE: (330), (10153) imply:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | (10154) ~ (all_4_2 = e1)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | (10155) all_55_15 = e3
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (10155) imply:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | (10156) all_4_2 = e3
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (10098), (10156) imply:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | (10157) $false
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | CLOSE: (10157) is inconsistent.
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | (10158) ~ (all_55_15 = e3)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | (10159) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10159) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | (10160) all_55_15 = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (10160) imply:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | (10161) all_4_2 = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (10161) imply:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | (10162) $false
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | CLOSE: (10162) is inconsistent.
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | (10163) ~ (all_55_15 = e2)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | (10164) all_55_15 = e1 | all_55_15 = e0
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10164) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | (10165) all_55_15 = e1
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (10165) imply:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | (10166) all_4_2 = e1
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10154), (10166) imply:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | (10167) $false
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10167) is inconsistent.
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | (10168) all_55_15 = e0
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (10168) imply:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | (10169) all_4_2 = e0
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (10169) imply:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | (10170) ~ (all_53_3 = e0)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (10169) imply:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | (10171) ~ (all_53_7 = e0)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (10169) imply:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | (10172) ~ (all_53_13 = e0)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10098), (10169) imply:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | (10173) ~ (e3 = e0)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (10169) imply:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | (10174) ~ (e2 = e0)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10154), (10169) imply:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | (10175) ~ (e1 = e0)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (10169) imply:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | (10176) op(e0, e0) = e0
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | (10177) ~ (all_38_2 = e2)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (249), (10177) imply:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | (10178) ~ (all_6_2 = e2)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | (10179) all_55_10 = e3
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (374), (10179) are inconsistent by
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2500.
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | (10180) ~ (all_55_10 = e3)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | (10181) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10181) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | (10182) all_55_10 = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (10178), (10182) are inconsistent by
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2499.
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | (10183) ~ (all_55_10 = e2)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | (10184) all_55_10 = e1 | all_55_10 = e0
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10184) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (10185) all_55_10 = e1
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (10185) imply:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (10186) all_6_2 = e1
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10186) implies:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (10187) all_6_2 = e1
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (10187) imply:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (10188) ~ (all_53_2 = e1)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (374), (10187) imply:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (10189) ~ (e3 = e1)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10178), (10187) imply:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (10190) ~ (e2 = e1)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (10187) imply:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (10191) op(e1, e1) = e1
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10192) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10192) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10193) all_57_0 = e1 & op(e3, e3) = e1
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10193) implies:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10194) op(e3, e3) = e1
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10106), (10194), (function-axioms) are
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10195) all_57_2 = e1 & op(e2, e3) = e1
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10195) implies:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10196) all_57_2 = e1
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10197) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10197) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10198) all_57_2 = e0 & op(e2, e3) = e0
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10196), (10198) are inconsistent by
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2467.
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10199) all_57_3 = e0 & op(e2, e2) = e0
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10199) implies:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10200) all_57_3 = e0
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10094), (10200) are inconsistent by
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2358.
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10201) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10201) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10202) all_57_5 = e0 & op(e2, e1) = e0
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10202) implies:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10203) all_57_5 = e0
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10204) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_5 = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10204) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10205) all_57_4 = e2 & op(e3, e1) = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10205) implies:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10206) all_57_4 = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10207) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (10106), (10136), (10140), (10176),
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10207), (function-axioms) are inconsistent by
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #266.
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10208) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10208) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10209) all_57_4 = e0 & op(e3, e1) = e0
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10209) implies:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10210) op(e3, e1) = e0
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10135), (10139), (10176), (10210),
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2167.
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10211) all_57_9 = e0 & op(e3, e0) = e0
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10211) implies:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10212) all_57_9 = e0
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10213) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10213) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10214) all_57_2 = e2 & op(e2, e3) = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (220),
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (374), (10152), (10191), (10196), (10206),
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10214), (function-axioms) are inconsistent by
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #265.
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10215) all_57_3 = e2 & op(e2, e2) = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10215) implies:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10216) op(e2, e2) = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (165), (168), (225), (10085), (10090),
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10203), (10216), (function-axioms) are
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2129.
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10217) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10217) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10218) all_57_5 = e2 & op(e2, e1) = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10218) implies:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10219) all_57_5 = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10203), (10219) imply:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10220) e2 = e0
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10220) implies:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10221) e2 = e0
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10206), (10221) imply:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10222) all_57_4 = e0
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (233), (235), (10106),
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10212), (10222), (function-axioms) are
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2436.
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10223) all_57_10 = e2 & op(e2, e0) = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10223) implies:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10224) all_57_10 = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (211), (231), (10106),
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10125), (10135), (10136), (10139), (10140),
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10176), (10224), (function-axioms) are
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #263.
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10225) all_57_5 = e2 & op(e2, e1) = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10225) implies:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10226) all_57_5 = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10203), (10226) are inconsistent by
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2363.
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10227) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_14 =
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10227) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10228) all_57_8 = e2 & op(e1, e1) = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10228) implies:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10229) op(e1, e1) = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10191), (10229), (function-axioms) are
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2423.
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10230) all_57_14 = e2 & op(e0, e1) = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10230) implies:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10231) all_57_14 = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10115), (10231) are inconsistent by
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2410.
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10232) all_57_10 = e0 & op(e2, e0) = e0
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10232) implies:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10233) op(e2, e0) = e0
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10172), (10233), (function-axioms) are
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2470.
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10234) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10234) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10235) all_57_6 = e1 & op(e1, e3) = e1
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10188), (10235), (function-axioms) are
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #316.
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10236) all_57_12 = e1 & op(e0, e3) = e1
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10236) implies:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10237) all_57_12 = e1
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10238) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10238) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10239) all_57_12 = e2 & op(e0, e3) = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10237), (10239) are inconsistent by
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1922.
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10240) all_57_13 = e2 & op(e0, e2) = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10240) implies:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10241) all_57_13 = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10242) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (10106), (10136), (10140), (10176),
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10242), (function-axioms) are inconsistent by
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #266.
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10243) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10243) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10244) all_57_4 = e0 & op(e3, e1) = e0
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10244) implies:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10245) op(e3, e1) = e0
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10135), (10139), (10176), (10245),
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2167.
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10246) all_57_9 = e0 & op(e3, e0) = e0
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10246) implies:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10247) all_57_9 = e0
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10248) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10248) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10249) all_57_9 = e2 & op(e3, e0) = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10247), (10249) are inconsistent by
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2486.
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10250) all_57_10 = e2 & op(e2, e0) = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10250) implies:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10251) all_57_10 = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (211), (231), (10106),
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10125), (10135), (10136), (10139), (10140),
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10176), (10251), (function-axioms) are
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #263.
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10252) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10252) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10253) all_57_11 = e2 & op(e1, e0) = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10253) implies:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10254) all_57_11 = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10125), (10254) imply:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10255) e3 = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10115), (10255) imply:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10256) all_57_14 = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (207), (210), (10237),
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10241), (10256), (function-axioms) are
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1582.
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10257) all_57_15 = e2 & op(e0, e0) = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10257) implies:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10258) op(e0, e0) = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (10258), (function-axioms) are
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2334.
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10259) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10259) gives:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10260) all_57_14 = e2 & op(e0, e1) = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10260) implies:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10261) all_57_14 = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10115), (10261) are inconsistent by
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2410.
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10262) all_57_15 = e2 & op(e0, e0) = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10262) implies:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10263) op(e0, e0) = e2
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (10263), (function-axioms) are
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2334.
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (10264) all_55_10 = e0
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (10152), (10264) are inconsistent by
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2118.
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | (10265) all_38_2 = e2
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (10265) imply:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | (10266) all_6_2 = e2
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (10266) imply:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | (10267) ~ (all_53_9 = e2)
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (374), (10266) imply:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | (10268) ~ (e3 = e2)
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (10266) imply:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | (10269) op(e1, e1) = e2
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | (10270) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10270) gives:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | (10271) all_57_6 = e1 & op(e1, e3) = e1
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10271) implies:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | (10272) all_57_6 = e1
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (10273) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10273) gives:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10274) all_57_0 = e0 & op(e3, e3) = e0
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10274) implies:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10275) op(e3, e3) = e0
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10106), (10275), (function-axioms) are
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2494.
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10276) all_57_2 = e0 & op(e2, e3) = e0
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10276) implies:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10277) all_57_2 = e0
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10278) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10278) gives:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10279) all_57_2 = e2 & op(e2, e3) = e2
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10277), (10279) are inconsistent by
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2257.
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10280) all_57_3 = e2 & op(e2, e2) = e2
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10280) implies:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10281) op(e2, e2) = e2
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10095), (10281), (function-axioms) are
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2298.
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10282) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10282) gives:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10283) all_57_5 = e2 & op(e2, e1) = e2
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (10267), (10283), (function-axioms) are
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1858.
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10284) all_57_10 = e2 & op(e2, e0) = e2
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10284) implies:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10285) all_57_10 = e2
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (211), (231), (10106),
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10125), (10135), (10136), (10139), (10140),
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10176), (10285), (function-axioms) are
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #263.
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (10286) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10286) gives:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10287) all_57_6 = e0 & op(e1, e3) = e0
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10287) implies:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10288) all_57_6 = e0
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10272), (10288) are inconsistent by
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2227.
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10289) all_57_12 = e0 & op(e0, e3) = e0
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10289) implies:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10290) op(e0, e3) = e0
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (10170), (10290), (function-axioms) are
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2366.
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | (10291) all_57_7 = e1 & op(e1, e2) = e1
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10291) implies:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | (10292) all_57_7 = e1
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (10293) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10293) gives:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10294) all_57_1 = e0 & op(e3, e2) = e0
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10294) implies:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10295) op(e3, e2) = e0
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10136), (10140), (10176), (10295),
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2399.
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10296) all_57_3 = e0 & op(e2, e2) = e0
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10094), (10296) are inconsistent by
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #262.
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (10297) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (159), (10171), (10292), (10297),
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | | #261.
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | (10298) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (10125), (10269), (10298),
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | | #260.
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.05 | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | (10299) all_30_2 = e1
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | (10300) ( ~ (all_30_0 = e2) & op(all_30_1, e0) = all_30_0
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_30_1 & $i(all_30_0) &
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | $i(all_30_1)) | ( ~ (all_30_1 = e3) & op(e0, e1)
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | = all_30_1 & $i(all_30_1))
% 223.10/38.05 | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (10299) imply:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | (10301) all_4_2 = e1
% 223.10/38.05 | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | SIMP: (10301) implies:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | (10302) all_4_2 = e1
% 223.10/38.05 | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (295), (10302) imply:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | (10303) all_40_2 = e1
% 223.10/38.05 | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | REDUCE: (10149), (10302) imply:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | (10304) ~ (all_52_7 = e1)
% 223.10/38.05 | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | REDUCE: (36), (10302) imply:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | (10305) op(e0, e0) = e1
% 223.10/38.05 | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | (10306) ~ (all_40_2 = e1)
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | REDUCE: (10303), (10306) imply:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | (10307) $false
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | CLOSE: (10307) is inconsistent.
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | (10308) ( ~ (all_40_0 = e3) & op(all_40_1, e0) = all_40_0
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_40_1 & $i(all_40_0) &
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | $i(all_40_1)) | ( ~ (all_40_1 = e2) & op(e0, e1)
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | = all_40_1 & $i(all_40_1))
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10308) gives:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | (10309) ~ (all_40_0 = e3) & op(all_40_1, e0) = all_40_0 &
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_40_1 & $i(all_40_0) &
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10309) implies:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | (10310) op(e0, e1) = all_40_1
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (202), (10116), (10134), (10138), (10145),
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | (10150), (10300), (10304), (10305), (10310),
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | #258.
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | (10311) ~ (all_40_1 = e2) & op(e0, e1) = all_40_1 &
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10311) implies:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | (10312) op(e0, e1) = all_40_1
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (202), (10116), (10134), (10138), (10145),
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | (10150), (10300), (10304), (10305), (10312),
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | | #258.
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.05 | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.05 | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.05 | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | (10313) all_24_2 = e0
% 223.10/38.05 | | | | | | | | | | | | | | | | | | (10314) ( ~ (all_24_0 = e2) & op(all_24_1, e1) = all_24_0
% 223.10/38.05 | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_24_1 & $i(all_24_0) &
% 223.10/38.05 | | | | | | | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e3) & op(e1, e0)
% 223.10/38.05 | | | | | | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 223.10/38.05 | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (315), (10313) imply:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | (10315) all_6_2 = e0
% 223.10/38.05 | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (311), (10315) imply:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | (10316) all_34_2 = e0
% 223.10/38.05 | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | REDUCE: (10147), (10315) imply:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | (10317) ~ (all_52_5 = e0)
% 223.10/38.05 | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | REDUCE: (39), (10315) imply:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | (10318) op(e1, e1) = e0
% 223.10/38.05 | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 223.10/38.05 | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | (10319) ~ (all_34_2 = e0)
% 223.10/38.05 | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | REDUCE: (10316), (10319) imply:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | (10320) $false
% 223.10/38.05 | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | CLOSE: (10320) is inconsistent.
% 223.10/38.05 | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | (10321) ( ~ (all_34_0 = e3) & op(all_34_1, e1) = all_34_0
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_34_1 & $i(all_34_0) &
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | $i(all_34_1)) | ( ~ (all_34_1 = e2) & op(e1, e0)
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | = all_34_1 & $i(all_34_1))
% 223.10/38.05 | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (203), (10126), (10135), (10139), (10146),
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | (10148), (10314), (10317), (10318), (10321),
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | #256.
% 223.10/38.05 | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.05 | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | End of split
% 223.10/38.05 | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.05 | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | (10322) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 223.10/38.05 | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 223.10/38.05 | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 223.10/38.05 | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 223.10/38.05 | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 223.10/38.05 | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 223.10/38.05 | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 223.10/38.05 | | | | | | | | | | | | | | | | | $i(all_52_15)
% 223.10/38.05 | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10095), (10106), (10322), (function-axioms)
% 223.10/38.05 | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #255.
% 223.10/38.05 | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | End of split
% 223.10/38.05 | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | Case 2:
% 223.10/38.05 | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | (10323) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 223.10/38.05 | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 223.10/38.05 | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.10/38.05 | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 223.10/38.05 | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 223.10/38.05 | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 223.10/38.05 | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 223.10/38.05 | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 223.10/38.05 | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 223.10/38.05 | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/38.05 | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/38.05 | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 223.10/38.05 | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 223.10/38.05 | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 223.10/38.05 | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 223.10/38.05 | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 223.10/38.05 | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | BETA: splitting (10323) gives:
% 223.10/38.05 | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.05 | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | (10324) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 223.10/38.05 | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 223.10/38.05 | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.10/38.05 | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 223.10/38.05 | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 223.10/38.05 | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 223.10/38.05 | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 223.10/38.05 | | | | | | | | | | | | | | | | | $i(all_52_23)
% 223.10/38.05 | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10106), (10126), (10324), (function-axioms)
% 223.10/38.05 | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #254.
% 223.10/38.05 | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.05 | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | (10325) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 223.10/38.05 | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/38.05 | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/38.05 | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 223.10/38.05 | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 223.10/38.05 | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 223.10/38.05 | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 223.10/38.05 | | | | | | | | | | | | | | | | | $i(all_52_31)
% 223.10/38.05 | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | ALPHA: (10325) implies:
% 223.10/38.05 | | | | | | | | | | | | | | | | | (10326) op(e0, e1) = all_52_29
% 223.10/38.05 | | | | | | | | | | | | | | | | | (10327) op(all_52_29, all_52_29) = e1
% 223.10/38.05 | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 223.10/38.05 | | | | | | | | | | | | | | | | | all_52_29, e1, e0, simplifying with (10116),
% 223.10/38.05 | | | | | | | | | | | | | | | | | (10326) gives:
% 223.10/38.05 | | | | | | | | | | | | | | | | | (10328) all_52_29 = e3
% 223.10/38.05 | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | REDUCE: (10327), (10328) imply:
% 223.10/38.05 | | | | | | | | | | | | | | | | | (10329) op(e3, e3) = e1
% 223.10/38.05 | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10106), (10329), (function-axioms) are
% 223.10/38.05 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 223.10/38.05 | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | End of split
% 223.10/38.05 | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | End of split
% 223.10/38.05 | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | End of split
% 223.10/38.05 | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | End of split
% 223.10/38.05 | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | End of split
% 223.10/38.05 | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | End of split
% 223.10/38.05 | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | Case 2:
% 223.10/38.05 | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | (10330) all_55_0 = e2 | all_55_0 = e1 | all_55_0 = e0
% 223.10/38.05 | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | REF_CLOSE: (277), (10096), (10100), (10102), (10330) are
% 223.10/38.05 | | | | | | | | | | | inconsistent by sub-proof #1953.
% 223.10/38.05 | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | End of split
% 223.10/38.05 | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | Case 2:
% 223.10/38.05 | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | (10331) all_20_2 = e2
% 223.10/38.05 | | | | | | | | | | (10332) ( ~ (all_20_0 = e1) & op(all_20_1, e3) = all_20_0
% 223.10/38.05 | | | | | | | | | | & op(e3, e2) = all_20_1 & $i(all_20_0) &
% 223.10/38.05 | | | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e0) & op(e3, e2)
% 223.10/38.05 | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 223.10/38.05 | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | COMBINE_EQS: (299), (10331) imply:
% 223.10/38.05 | | | | | | | | | | (10333) all_10_2 = e2
% 223.10/38.05 | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | COMBINE_EQS: (329), (10333) imply:
% 223.10/38.05 | | | | | | | | | | (10334) all_28_2 = e2
% 223.10/38.05 | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | REDUCE: (338), (10333) imply:
% 223.10/38.05 | | | | | | | | | | (10335) ~ (all_53_1 = e2)
% 223.10/38.05 | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | REDUCE: (340), (10333) imply:
% 223.10/38.05 | | | | | | | | | | (10336) ~ (all_53_2 = e2)
% 223.10/38.05 | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | REDUCE: (342), (10333) imply:
% 223.10/38.05 | | | | | | | | | | (10337) ~ (all_53_3 = e2)
% 223.10/38.05 | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | REDUCE: (344), (10333) imply:
% 223.10/38.05 | | | | | | | | | | (10338) ~ (all_53_4 = e2)
% 223.10/38.05 | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | REDUCE: (346), (10333) imply:
% 223.10/38.05 | | | | | | | | | | (10339) ~ (all_53_8 = e2)
% 223.10/38.05 | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | REDUCE: (348), (10333) imply:
% 223.10/38.05 | | | | | | | | | | (10340) ~ (all_53_12 = e2)
% 223.10/38.05 | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | REDUCE: (45), (10333) imply:
% 223.10/38.05 | | | | | | | | | | (10341) op(e3, e3) = e2
% 223.10/38.05 | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | BETA: splitting (67) gives:
% 223.10/38.05 | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | Case 1:
% 223.10/38.05 | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | (10342) ~ (all_24_2 = e0)
% 223.10/38.05 | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | REDUCE: (315), (10342) imply:
% 223.10/38.05 | | | | | | | | | | | (10343) ~ (all_6_2 = e0)
% 223.10/38.05 | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | BETA: splitting (73) gives:
% 223.10/38.05 | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | Case 1:
% 223.10/38.05 | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | (10344) ~ (all_28_2 = e2)
% 223.10/38.05 | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | REDUCE: (10334), (10344) imply:
% 223.10/38.05 | | | | | | | | | | | | (10345) $false
% 223.10/38.05 | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | CLOSE: (10345) is inconsistent.
% 223.10/38.05 | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | Case 2:
% 223.10/38.05 | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | (10346) ( ~ (all_28_0 = e0) & op(all_28_1, e3) = all_28_0
% 223.10/38.05 | | | | | | | | | | | | & op(e3, e2) = all_28_1 & $i(all_28_0) &
% 223.10/38.05 | | | | | | | | | | | | $i(all_28_1)) | ( ~ (all_28_1 = e1) & op(e3, e2)
% 223.10/38.05 | | | | | | | | | | | | = all_28_1 & $i(all_28_1))
% 223.10/38.05 | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | BETA: splitting (76) gives:
% 223.10/38.05 | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | Case 1:
% 223.10/38.05 | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | (10347) ~ (all_30_2 = e1)
% 223.10/38.05 | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | REDUCE: (330), (10347) imply:
% 223.10/38.05 | | | | | | | | | | | | | (10348) ~ (all_4_2 = e1)
% 223.10/38.05 | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | BETA: splitting (190) gives:
% 223.10/38.05 | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | Case 1:
% 223.10/38.05 | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | (10349) all_55_15 = e3
% 223.10/38.05 | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | COMBINE_EQS: (244), (10349) imply:
% 223.10/38.05 | | | | | | | | | | | | | | (10350) all_4_2 = e3
% 223.10/38.05 | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | REDUCE: (10098), (10350) imply:
% 223.10/38.05 | | | | | | | | | | | | | | (10351) $false
% 223.10/38.05 | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | CLOSE: (10351) is inconsistent.
% 223.10/38.05 | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | Case 2:
% 223.10/38.05 | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | (10352) ~ (all_55_15 = e3)
% 223.10/38.05 | | | | | | | | | | | | | | (10353) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 223.10/38.05 | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | BETA: splitting (10353) gives:
% 223.10/38.05 | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | Case 1:
% 223.10/38.05 | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | (10354) all_55_15 = e2
% 223.10/38.05 | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | COMBINE_EQS: (244), (10354) imply:
% 223.10/38.05 | | | | | | | | | | | | | | | (10355) all_4_2 = e2
% 223.10/38.05 | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | REDUCE: (373), (10355) imply:
% 223.10/38.05 | | | | | | | | | | | | | | | (10356) $false
% 223.10/38.05 | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | CLOSE: (10356) is inconsistent.
% 223.10/38.05 | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | Case 2:
% 223.10/38.05 | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | (10357) ~ (all_55_15 = e2)
% 223.10/38.05 | | | | | | | | | | | | | | | (10358) all_55_15 = e1 | all_55_15 = e0
% 223.10/38.05 | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | BETA: splitting (10358) gives:
% 223.10/38.05 | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | Case 1:
% 223.10/38.05 | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | (10359) all_55_15 = e1
% 223.10/38.05 | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (10359) imply:
% 223.10/38.05 | | | | | | | | | | | | | | | | (10360) all_4_2 = e1
% 223.10/38.05 | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | REDUCE: (10348), (10360) imply:
% 223.10/38.05 | | | | | | | | | | | | | | | | (10361) $false
% 223.10/38.05 | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | CLOSE: (10361) is inconsistent.
% 223.10/38.05 | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | Case 2:
% 223.10/38.05 | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | (10362) all_55_15 = e0
% 223.10/38.05 | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (10362) imply:
% 223.10/38.05 | | | | | | | | | | | | | | | | (10363) all_4_2 = e0
% 223.10/38.05 | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | REDUCE: (351), (10363) imply:
% 223.10/38.05 | | | | | | | | | | | | | | | | (10364) ~ (all_53_3 = e0)
% 223.10/38.05 | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | REDUCE: (362), (10363) imply:
% 223.10/38.05 | | | | | | | | | | | | | | | | (10365) ~ (all_53_7 = e0)
% 223.10/38.05 | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | REDUCE: (369), (10363) imply:
% 223.10/38.05 | | | | | | | | | | | | | | | | (10366) ~ (all_53_11 = e0)
% 223.10/38.05 | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | REDUCE: (370), (10363) imply:
% 223.10/38.05 | | | | | | | | | | | | | | | | (10367) ~ (all_53_12 = e0)
% 223.10/38.05 | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | REDUCE: (371), (10363) imply:
% 223.10/38.05 | | | | | | | | | | | | | | | | (10368) ~ (all_53_13 = e0)
% 223.10/38.05 | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | REDUCE: (372), (10363) imply:
% 223.10/38.05 | | | | | | | | | | | | | | | | (10369) ~ (all_53_14 = e0)
% 223.10/38.05 | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | REDUCE: (10098), (10363) imply:
% 223.10/38.05 | | | | | | | | | | | | | | | | (10370) ~ (e3 = e0)
% 223.10/38.05 | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | REDUCE: (373), (10363) imply:
% 223.10/38.05 | | | | | | | | | | | | | | | | (10371) ~ (e2 = e0)
% 223.10/38.05 | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | REDUCE: (10348), (10363) imply:
% 223.10/38.05 | | | | | | | | | | | | | | | | (10372) ~ (e1 = e0)
% 223.10/38.05 | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 223.10/38.05 | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.05 | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | (10373) all_57_15 = e0 & op(e0, e0) = e0
% 223.10/38.05 | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | ALPHA: (10373) implies:
% 223.10/38.05 | | | | | | | | | | | | | | | | | (10374) all_57_15 = e0
% 223.10/38.05 | | | | | | | | | | | | | | | | | (10375) op(e0, e0) = e0
% 223.10/38.05 | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 223.10/38.05 | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.05 | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | (10376) ~ (all_38_2 = e2)
% 223.10/38.05 | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | REDUCE: (249), (10376) imply:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | (10377) ~ (all_6_2 = e2)
% 223.10/38.05 | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 223.10/38.05 | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | (10378) all_55_10 = e3
% 223.10/38.05 | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (374), (10378) are inconsistent by
% 223.10/38.05 | | | | | | | | | | | | | | | | | | | sub-proof #2500.
% 223.10/38.05 | | | | | | | | | | | | | | | | | | |
% 223.10/38.05 | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.05 | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | (10379) ~ (all_55_10 = e3)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | (10380) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 223.10/38.06 | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | BETA: splitting (10380) gives:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | (10381) all_55_10 = e2
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (10377), (10381) are inconsistent by
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | sub-proof #2499.
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | (10382) all_55_10 = e1 | all_55_10 = e0
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10382) gives:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | (10383) all_55_10 = e1
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (10383) imply:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | (10384) all_6_2 = e1
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | SIMP: (10384) implies:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | (10385) all_6_2 = e1
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (10385) imply:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | (10386) ~ (all_53_6 = e1)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (10385) imply:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | (10387) ~ (all_53_8 = e1)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (10385) imply:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | (10388) ~ (all_53_14 = e1)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | (10389) ~ (all_44_2 = e3)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10084), (10389) imply:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | (10390) $false
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10390) is inconsistent.
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | (10391) ( ~ (all_44_0 = e1) & op(all_44_1, e2) = all_44_0
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_44_1 & $i(all_44_0) &
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | $i(all_44_1)) | ( ~ (all_44_1 = e0) & op(e2, e3)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | = all_44_1 & $i(all_44_1))
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | (10392) all_55_3 = e3
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (10392) imply:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | (10393) all_53_12 = e3
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10393) implies:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | (10394) all_53_12 = e3
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (10394) imply:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | (10395) ~ (all_53_8 = e3)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (10394) imply:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | (10396) ~ (all_53_14 = e3)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10396) implies:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | (10397) ~ (all_53_14 = e3)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | (10398) all_55_2 = e3
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (10395), (10398) are inconsistent by
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2028.
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | (10399) all_55_2 = e2 | all_55_2 = e1 | all_55_2 = e0
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10399) gives:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | (10400) all_55_2 = e2
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (10339), (10400) are inconsistent by
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2027.
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | (10401) all_55_2 = e1 | all_55_2 = e0
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (10402) all_55_11 = e3
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (10397), (10402) are inconsistent by
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2497.
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (10403) all_55_11 = e2 | all_55_11 = e1 | all_55_11 = e0
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10401) gives:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10404) all_55_2 = e1
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (10387), (10404) are inconsistent by
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2032.
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10405) all_55_2 = e0
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (10405) imply:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10406) all_53_8 = e0
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10406) implies:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10407) all_53_8 = e0
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (124), (10407) imply:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10408) ~ (all_53_9 = e0)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10408) implies:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10409) ~ (all_53_9 = e0)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (10407) imply:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10410) op(e3, e1) = e0
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10403) gives:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10411) all_55_11 = e2
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (10411) imply:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10412) all_53_14 = e2
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10412) implies:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10413) all_53_14 = e2
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (10413) imply:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10414) ~ (all_53_6 = e2)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10415) all_55_9 = e3
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (10087), (10415) are inconsistent by
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2159.
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10416) ~ (all_55_9 = e3)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10417) all_55_9 = e2 | all_55_9 = e1 | all_55_9 = e0
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10417) gives:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10418) all_55_9 = e2
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (10414), (10418) are inconsistent by
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2274.
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10419) ~ (all_55_9 = e2)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10420) all_55_9 = e1 | all_55_9 = e0
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10420) gives:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10421) all_55_9 = e1
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (10386), (10421) are inconsistent by
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2273.
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10422) all_55_9 = e0
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (10422) imply:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10423) all_53_6 = e0
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10423) implies:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10424) all_53_6 = e0
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (10424) imply:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10425) ~ (all_53_2 = e0)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (10424) imply:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10426) op(e1, e2) = e0
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (97), (107), (159), (160), (164),
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (166), (168), (192), (222), (230), (244),
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (362), (371), (10083), (10084), (10088),
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10094), (10095), (10098), (10341), (10348),
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10358), (10364), (10375), (10409), (10410),
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10425), (10426), (function-axioms) are
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #250.
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10427) all_55_11 = e1 | all_55_11 = e0
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (10369), (10388), (10427) are inconsistent
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2307.
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | (10428) ~ (all_55_3 = e3)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | (10429) all_55_3 = e2 | all_55_3 = e1 | all_55_3 = e0
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (268), (10428) imply:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | (10430) ~ (all_53_12 = e3)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10429) gives:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | (10431) all_55_3 = e2
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (10340), (10431) are inconsistent by
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1612.
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | (10432) ~ (all_55_3 = e2)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | (10433) all_55_3 = e1 | all_55_3 = e0
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10433) gives:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | (10434) all_55_3 = e1
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (10434) imply:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | (10435) all_53_12 = e1
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10435) implies:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | (10436) all_53_12 = e1
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (10436) imply:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | (10437) ~ (all_53_13 = e1)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10437) implies:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | (10438) ~ (all_53_13 = e1)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10430), (10436) imply:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | (10439) ~ (e3 = e1)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (10440) (all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 =
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (10090), (10430), (10440),
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | #2300.
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (10441) (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 =
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10441) gives:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10442) all_57_11 = e3 & op(e1, e0) = e3
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10442) implies:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10443) all_57_11 = e3
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10444) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10444) gives:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10445) all_57_9 = e2 & op(e3, e0) = e2
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10445) implies:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10446) op(e3, e0) = e2
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (10340), (10446), (function-axioms) are
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2331.
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10447) all_57_10 = e2 & op(e2, e0) = e2
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10447) implies:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10448) op(e2, e0) = e2
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10449) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_1 = e3
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (171), (10086), (10341), (10449),
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #249.
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10450) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_9 = e3
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10450) gives:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10451) all_57_4 = e3 & op(e3, e1) = e3
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10451) implies:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10452) all_57_4 = e3
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10453) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10453) gives:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10454) all_57_0 = e0 & op(e3, e3) = e0
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10454) implies:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10455) op(e3, e3) = e0
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10341), (10455), (function-axioms) are
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2403.
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10456) all_57_1 = e0 & op(e3, e2) = e0
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10456) implies:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10457) op(e3, e2) = e0
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10458) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10458) gives:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10459) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10459) implies:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10460) op(e3, e2) = all_52_3
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10461) op(all_52_3, all_52_3) = e2
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10375), (10457), (10460), (10461),
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2399.
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10462) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10462) implies:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10463) op(e2, e0) = all_52_15
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10464) op(e2, e2) = all_52_11
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10465) op(all_52_15, all_52_15) = e0
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10095), (10448), (10463), (10464), (10465),
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #248.
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10466) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10466) gives:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10467) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10467) implies:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10468) op(e1, e1) = all_52_21
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10469) op(e1, e2) = all_52_19
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10470) op(all_52_21, all_52_21) = e1
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10471) op(all_52_19, all_52_19) = e2
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10472) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10472) gives:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10473) all_57_2 = e1 & op(e2, e3) = e1
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10473) implies:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10474) op(e2, e3) = e1
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (196), (256), (10083), (10087), (10095),
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10386), (10391), (10469), (10471), (10474),
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #244.
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10475) all_57_3 = e1 & op(e2, e2) = e1
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10475) implies:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10476) op(e2, e2) = e1
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10095), (10476), (function-axioms) are
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1912.
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10477) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10477) gives:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10478) all_57_5 = e1 & op(e2, e1) = e1
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10478) implies:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10479) op(e2, e1) = e1
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (166), (195), (336), (364), (374), (10089),
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10095), (10343), (10468), (10470), (10479),
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #243.
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10480) all_57_10 = e1 & op(e2, e0) = e1
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10438), (10480), (function-axioms) are
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2084.
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10481) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10481) implies:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10482) op(e0, e3) = all_52_25
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10483) op(all_52_25, all_52_25) = e3
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (171), (193), (247), (10332), (10337),
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10341), (10346), (10364), (10457), (10482),
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10483), (function-axioms) are inconsistent by
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1567.
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10484) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10484) gives:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10485) all_57_4 = e0 & op(e3, e1) = e0
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10485) implies:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10486) all_57_4 = e0
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10452), (10486) are inconsistent by
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2372.
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10487) all_57_9 = e0 & op(e3, e0) = e0
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (10367), (10487), (function-axioms) are
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2434.
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10488) all_57_9 = e3 & op(e3, e0) = e3
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10488) implies:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10489) op(e3, e0) = e3
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (10430), (10489), (function-axioms) are
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2458.
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10490) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10490) gives:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10491) all_57_11 = e2 & op(e1, e0) = e2
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10443), (10491) are inconsistent by
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2141.
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10492) all_57_15 = e2 & op(e0, e0) = e2
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10492) implies:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10493) op(e0, e0) = e2
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (10493), (function-axioms) are
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2334.
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10494) all_57_15 = e3 & op(e0, e0) = e3
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10494) implies:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10495) op(e0, e0) = e3
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10375), (10495), (function-axioms) are
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | (10496) all_55_3 = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (10367), (10496) are inconsistent by
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #885.
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | (10497) all_55_10 = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (10343), (10497) are inconsistent by
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | sub-proof #2118.
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.07 | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.07 | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.07 | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | (10498) all_38_2 = e2
% 223.10/38.07 | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (10498) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | (10499) all_6_2 = e2
% 223.10/38.07 | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | REDUCE: (364), (10499) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | (10500) ~ (all_53_9 = e2)
% 223.10/38.07 | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | REDUCE: (374), (10499) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | (10501) ~ (e3 = e2)
% 223.10/38.07 | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | REDUCE: (39), (10499) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | (10502) op(e1, e1) = e2
% 223.10/38.07 | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | (10503) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (10095), (10335), (10503),
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | #242.
% 223.10/38.07 | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | (10504) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | BETA: splitting (10504) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | (10505) all_57_5 = e2 & op(e2, e1) = e2
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (10500), (10505), (function-axioms) are
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1858.
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | (10506) all_57_10 = e2 & op(e2, e0) = e2
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | ALPHA: (10506) implies:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | (10507) all_57_10 = e2
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | (10508) op(e2, e0) = e2
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | (10509) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10509) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | (10510) all_57_12 = e2 & op(e0, e3) = e2
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10510) implies:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | (10511) op(e0, e3) = e2
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (10337), (10511), (function-axioms) are
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1980.
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | (10512) all_57_13 = e2 & op(e0, e2) = e2
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10512) implies:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | (10513) all_57_13 = e2
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | (10514) op(e0, e2) = e2
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_7, e2,
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (159), (10514) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | (10515) all_53_7 = e2
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_13,
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (165), (10508) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | (10516) all_53_13 = e2
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (10515) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | (10517) ~ (all_53_11 = e2)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | SIMP: (10517) implies:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | (10518) ~ (all_53_11 = e2)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | (10519) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10519) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | (10520) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10520) implies:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | (10521) op(e3, e1) = all_52_5
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | (10522) op(e3, e2) = all_52_3
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | (10523) op(e3, e3) = all_52_1
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | (10524) op(all_52_5, all_52_5) = e1
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | (10525) op(all_52_3, all_52_3) = e2
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | (10526) op(all_52_1, all_52_1) = e3
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_8,
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | all_52_5, e1, e3, simplifying with (170), (10521)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | (10527) all_53_8 = all_52_5
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_4,
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | all_52_3, e2, e3, simplifying with (171), (10522)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | (10528) all_53_4 = all_52_3
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_52_1,
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (10341), (10523) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | (10529) all_52_1 = e2
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | (10530) all_55_4 = e3
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (10085), (10530) are inconsistent by
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2170.
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | (10531) ~ (all_55_4 = e3)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | (10532) all_55_4 = e2 | all_55_4 = e1 | all_55_4 = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (10533) all_55_14 = e3
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (10533) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (10534) all_53_11 = e3
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (10534) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (10535) ~ (all_53_3 = e3)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10536) all_55_12 = e3
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (10536) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10537) all_53_3 = e3
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10535), (10537) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10538) $false
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10538) is inconsistent.
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10539) ~ (all_55_12 = e3)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10540) all_55_12 = e2 | all_55_12 = e1 | all_55_12 = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10540) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10541) all_55_12 = e2
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (10337), (10541) are inconsistent by
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1337.
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10542) ~ (all_55_12 = e2)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10543) all_55_12 = e1 | all_55_12 = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10544) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_2 = e3
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (10085), (10341), (10544),
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #241.
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10545) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_12 =
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10545) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10546) all_57_6 = e3 & op(e1, e3) = e3
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10546) implies:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10547) all_57_6 = e3
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10543) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10548) all_55_12 = e1
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (10548) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10549) all_53_3 = e1
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10549) implies:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10550) all_53_3 = e1
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (10550) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10551) ~ (all_53_1 = e1)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (10550) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10552) ~ (all_53_2 = e1)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10535), (10550) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10553) ~ (e3 = e1)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10337), (10550) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10554) ~ (e2 = e1)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10555) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (168), (10341), (10551), (10555),
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1598.
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10556) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10556) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10557) all_57_6 = e1 & op(e1, e3) = e1
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10552), (10557), (function-axioms) are
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #316.
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10558) all_57_12 = e1 & op(e0, e3) = e1
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10558) implies:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10559) all_57_12 = e1
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10560) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (10095), (10551), (10560),
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #240.
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10561) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10561) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10562) all_57_5 = e1 & op(e2, e1) = e1
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10562) implies:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10563) all_57_5 = e1
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10532) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10564) all_55_4 = e2
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (10564) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10565) all_53_1 = e2
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10335), (10565) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10566) $false
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10566) is inconsistent.
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10567) ~ (all_55_4 = e2)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10568) all_55_4 = e1 | all_55_4 = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10569) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10569) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10570) all_57_2 = e0 & op(e2, e3) = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10570) implies:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10571) all_57_2 = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10572) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10572) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10573) all_57_6 = e0 & op(e1, e3) = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10573) implies:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10574) all_57_6 = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10547), (10574) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10575) e3 = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10094), (10575) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10576) all_57_3 = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10571), (10576) are inconsistent by sub-proof
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2246.
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10577) all_57_7 = e0 & op(e1, e2) = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10577) implies:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10578) op(e1, e2) = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10568) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10579) all_55_4 = e1
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (10579) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10580) all_53_1 = e1
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10551), (10580) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10581) $false
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10581) is inconsistent.
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10582) all_55_4 = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (10582) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10583) all_53_1 = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (10583) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10584) ~ (all_53_2 = e0)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10584) implies:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10585) ~ (all_53_2 = e0)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (10583) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10586) ~ (all_53_9 = e0)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10586) implies:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10587) ~ (all_53_9 = e0)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10588) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10588) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10589) all_57_0 = e0 & op(e3, e3) = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10589) implies:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10590) op(e3, e3) = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (168), (234), (10335), (10547),
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10559), (10590), (function-axioms) are
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1921.
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10591) all_57_1 = e0 & op(e3, e2) = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10591) implies:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10592) op(e3, e2) = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10375), (10522), (10525), (10592),
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2399.
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10593) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10593) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10594) all_57_4 = e0 & op(e3, e1) = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10594) implies:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10595) op(e3, e1) = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (97), (107), (159), (160), (164),
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (166), (168), (192), (222), (230), (244),
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (362), (371), (10083), (10084), (10088),
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10094), (10095), (10098), (10341), (10348),
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10358), (10364), (10375), (10578), (10585),
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10587), (10595), (function-axioms) are
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #250.
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10596) all_57_9 = e0 & op(e3, e0) = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (10367), (10596), (function-axioms) are
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2434.
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10597) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10597) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10598) all_57_8 = e0 & op(e1, e1) = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (10343), (10598), (function-axioms) are
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2412.
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10599) all_57_11 = e0 & op(e1, e0) = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (10369), (10599), (function-axioms) are
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2341.
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10600) all_57_3 = e0 & op(e2, e2) = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10600) implies:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10601) op(e2, e2) = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10341), (10523), (10526), (10601),
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1653.
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10602) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (165), (10368), (10563), (10602),
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #239.
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10603) all_57_10 = e1 & op(e2, e0) = e1
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10603) implies:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10604) all_57_10 = e1
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10507), (10604) are inconsistent by
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2144.
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10605) all_55_12 = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (10364), (10605) are inconsistent by
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1993.
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10606) all_57_12 = e3 & op(e0, e3) = e3
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10606) implies:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10607) all_57_12 = e3
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10543) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10608) all_55_12 = e1
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (10608) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10609) all_53_3 = e1
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10609) implies:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10610) all_53_3 = e1
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (10610) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10611) ~ (all_53_1 = e1)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (10610) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10612) ~ (all_53_2 = e1)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10535), (10610) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10613) ~ (e3 = e1)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10337), (10610) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10614) ~ (e2 = e1)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (164), (168), (232), (10341), (10607),
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10611), (10612), (function-axioms) are
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #238.
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10615) all_55_12 = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (10364), (10615) are inconsistent by
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1993.
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (10616) ~ (all_55_14 = e3)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (10617) all_55_14 = e2 | all_55_14 = e1 | all_55_14 = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (245), (10616) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (10618) ~ (all_53_11 = e3)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10617) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10619) all_55_14 = e2
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (10619) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10620) all_53_11 = e2
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10518), (10620) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10621) $false
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10621) is inconsistent.
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10622) ~ (all_55_14 = e2)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10623) all_55_14 = e1 | all_55_14 = e0
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10623) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10624) all_55_14 = e1
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (10624) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10625) all_53_11 = e1
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (10625) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10626) ~ (all_53_3 = e1)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (10625) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10627) ~ (all_53_9 = e1)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10618), (10625) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10628) ~ (e3 = e1)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10518), (10625) imply:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10629) ~ (e2 = e1)
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10630) all_55_6 = e3
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (10089), (10630) are inconsistent by
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2498.
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10631) ~ (all_55_6 = e3)
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10632) all_55_6 = e2 | all_55_6 = e1 | all_55_6 = e0
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10633) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10633) gives:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10634) all_57_4 = e3 & op(e3, e1) = e3
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10634) implies:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10635) op(e3, e1) = e3
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10636) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10636) gives:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10637) all_57_0 = e0 & op(e3, e3) = e0
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10637) implies:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10638) op(e3, e3) = e0
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10521), (10523), (10524), (10635), (10638),
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #237.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10639) all_57_1 = e0 & op(e3, e2) = e0
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10639) implies:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10640) op(e3, e2) = e0
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10375), (10522), (10525), (10640),
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2399.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10641) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10641) gives:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10642) all_57_4 = e0 & op(e3, e1) = e0
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10642) implies:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10643) op(e3, e1) = e0
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (124), (170), (259), (10500), (10627), (10632),
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10643), (function-axioms) are inconsistent by
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1721.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10644) all_57_9 = e0 & op(e3, e0) = e0
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (10367), (10644), (function-axioms) are
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2434.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10645) all_57_5 = e3 & op(e2, e1) = e3
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (10089), (10645), (function-axioms) are
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #270.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10646) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10646) gives:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10647) all_57_8 = e3 & op(e1, e1) = e3
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10647) implies:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10648) op(e1, e1) = e3
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (10648), (function-axioms) are
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10649) all_57_14 = e3 & op(e0, e1) = e3
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10649) implies:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10650) all_57_14 = e3
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10651) (all_57_12 = e1 & op(e0, e3) = e1) | (all_57_13 =
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10651) gives:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10652) all_57_12 = e1 & op(e0, e3) = e1
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (10626), (10652), (function-axioms) are
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1947.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10653) all_57_13 = e1 & op(e0, e2) = e1
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10513), (10653) are inconsistent by
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2205.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10654) (all_57_14 = e1 & op(e0, e1) = e1) | (all_57_15 =
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10654) gives:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10655) all_57_14 = e1 & op(e0, e1) = e1
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10650), (10655) are inconsistent by
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2319.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10656) all_57_15 = e1 & op(e0, e0) = e1
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10656) implies:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10657) op(e0, e0) = e1
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10375), (10657), (function-axioms) are
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2290.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10658) all_55_14 = e0
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (10658) imply:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10659) all_53_11 = e0
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10366), (10659) imply:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10660) $false
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10660) is inconsistent.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | (10661) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10661) implies:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | (10662) op(e2, e0) = all_52_15
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | (10663) op(e2, e2) = all_52_11
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | (10664) op(all_52_15, all_52_15) = e0
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10095), (10508), (10662), (10663), (10664),
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | #248.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | (10665) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10665) gives:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | (10666) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10095), (10502), (10666), (function-axioms)
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #236.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | (10667) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10667) implies:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | (10668) op(e0, e2) = all_52_27
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | (10669) op(all_52_27, all_52_27) = e2
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | all_52_27, e2, e0, simplifying with (10514),
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | (10668) gives:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | (10670) all_52_27 = e2
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10669), (10670) imply:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | (10671) op(e2, e2) = e2
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10095), (10671), (function-axioms) are
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2298.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | (10672) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10672) gives:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | (10673) all_57_14 = e2 & op(e0, e1) = e2
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10673) implies:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | (10674) all_57_14 = e2
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | (10675) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10675) gives:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | (10676) all_57_4 = e3 & op(e3, e1) = e3
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10676) implies:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | (10677) all_57_4 = e3
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | (10678) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233),
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | (10095), (10341), (10677), (10678),
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | #235.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | (10679) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10679) gives:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (10680) all_57_7 = e2 & op(e1, e2) = e2
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10680) implies:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (10681) all_57_7 = e2
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10682) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10682) gives:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10683) all_57_1 = e0 & op(e3, e2) = e0
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10683) implies:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10684) all_57_1 = e0
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10685) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (9), (169), (171), (235), (10338),
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10340), (10677), (10684), (10685),
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #233.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10686) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10686) gives:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10687) all_57_4 = e1 & op(e3, e1) = e1
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10687) implies:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10688) all_57_4 = e1
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (218), (221),
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (10343), (10674), (10688),
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2408.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10689) all_57_9 = e1 & op(e3, e0) = e1
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10689) implies:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10690) all_57_9 = e1
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10691) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10691) gives:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10692) all_57_6 = e1 & op(e1, e3) = e1
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10692) implies:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10693) all_57_6 = e1
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10694) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10694) gives:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10695) all_57_6 = e0 & op(e1, e3) = e0
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10695) implies:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10696) all_57_6 = e0
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10693), (10696) are inconsistent by
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2227.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10697) all_57_7 = e0 & op(e1, e2) = e0
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10681), (10697) are inconsistent by
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2148.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10698) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10698) gives:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10699) all_57_8 = e0 & op(e1, e1) = e0
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (10343), (10699), (function-axioms) are
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2412.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10700) all_57_11 = e0 & op(e1, e0) = e0
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (39), (217), (374), (10681),
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10693), (10700), (function-axioms) are
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1586.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10701) all_57_7 = e1 & op(e1, e2) = e1
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10681), (10701) are inconsistent by
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2190.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10702) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10702) gives:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10703) all_57_8 = e1 & op(e1, e1) = e1
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10703) implies:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10704) op(e1, e1) = e1
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10502), (10704), (function-axioms) are
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2423.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10705) all_57_11 = e1 & op(e1, e0) = e1
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10705) implies:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10706) all_57_11 = e1
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10707) (all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 =
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10707) gives:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10708) all_57_9 = e3 & op(e3, e0) = e3
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10708) implies:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10709) all_57_9 = e3
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10690), (10709) are inconsistent by
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1673.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10710) all_57_10 = e3 & op(e2, e0) = e3
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10710) implies:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10711) all_57_10 = e3
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10712) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (169), (10340), (10711), (10712),
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1219.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10713) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (10374), (10706), (10713) are
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1666.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10714) (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 =
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (10375), (10706), (10714),
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #232.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10715) all_57_3 = e0 & op(e2, e2) = e0
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10094), (10715) are inconsistent by
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #262.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10716) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10716) gives:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10717) all_57_7 = e0 & op(e1, e2) = e0
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10681), (10717) are inconsistent by
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2148.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10718) all_57_13 = e0 & op(e0, e2) = e0
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10718) implies:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10719) op(e0, e2) = e0
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (10365), (10719), (function-axioms) are
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2332.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (10720) all_57_13 = e2 & op(e0, e2) = e2
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10720) implies:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (10721) all_57_13 = e2
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (208), (210),
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (10375), (10674), (10721), (function-axioms) are
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1581.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | (10722) all_57_5 = e3 & op(e2, e1) = e3
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (10089), (10722), (function-axioms) are
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #270.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | (10723) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (374), (10674), (10723),
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | | #1890.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | (10724) all_57_15 = e2 & op(e0, e0) = e2
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10724) implies:
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | (10725) op(e0, e0) = e2
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (10725), (function-axioms) are
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2334.
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | (10726) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 223.10/38.08 | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 223.10/38.08 | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 223.10/38.08 | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 223.10/38.08 | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 223.10/38.08 | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (165), (169), (10367), (10368), (10369),
% 223.10/38.08 | | | | | | | | | | | | | | | | | (10726), (function-axioms) are inconsistent by
% 223.10/38.08 | | | | | | | | | | | | | | | | | sub-proof #2112.
% 223.10/38.08 | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | End of split
% 223.10/38.08 | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | (10727) all_30_2 = e1
% 223.10/38.08 | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | COMBINE_EQS: (330), (10727) imply:
% 223.10/38.08 | | | | | | | | | | | | | (10728) all_4_2 = e1
% 223.10/38.08 | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | SIMP: (10728) implies:
% 223.10/38.08 | | | | | | | | | | | | | (10729) all_4_2 = e1
% 223.10/38.08 | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | REDUCE: (351), (10729) imply:
% 223.10/38.08 | | | | | | | | | | | | | (10730) ~ (all_53_3 = e1)
% 223.10/38.08 | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | REDUCE: (362), (10729) imply:
% 223.10/38.08 | | | | | | | | | | | | | (10731) ~ (all_53_7 = e1)
% 223.10/38.08 | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | REDUCE: (370), (10729) imply:
% 223.10/38.08 | | | | | | | | | | | | | (10732) ~ (all_53_12 = e1)
% 223.10/38.08 | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | REDUCE: (10098), (10729) imply:
% 223.10/38.08 | | | | | | | | | | | | | (10733) ~ (e3 = e1)
% 223.10/38.08 | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | REDUCE: (373), (10729) imply:
% 223.10/38.08 | | | | | | | | | | | | | (10734) ~ (e2 = e1)
% 223.10/38.08 | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | REDUCE: (36), (10729) imply:
% 223.10/38.08 | | | | | | | | | | | | | (10735) op(e0, e0) = e1
% 223.10/38.08 | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | BETA: splitting (88) gives:
% 223.10/38.08 | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | (10736) ~ (all_38_2 = e2)
% 223.10/38.08 | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | REDUCE: (249), (10736) imply:
% 223.10/38.08 | | | | | | | | | | | | | | (10737) ~ (all_6_2 = e2)
% 223.10/38.08 | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 223.10/38.08 | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | (10738) all_55_10 = e3
% 223.10/38.08 | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | REF_CLOSE: (336), (374), (10738) are inconsistent by
% 223.10/38.08 | | | | | | | | | | | | | | | sub-proof #2500.
% 223.10/38.08 | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | (10739) ~ (all_55_10 = e3)
% 223.10/38.08 | | | | | | | | | | | | | | | (10740) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 223.10/38.08 | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | BETA: splitting (10740) gives:
% 223.10/38.08 | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | (10741) all_55_10 = e2
% 223.10/38.08 | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | REF_CLOSE: (336), (10737), (10741) are inconsistent by
% 223.10/38.08 | | | | | | | | | | | | | | | | sub-proof #2499.
% 223.10/38.08 | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | Case 2:
% 223.10/38.08 | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | (10742) ~ (all_55_10 = e2)
% 223.10/38.08 | | | | | | | | | | | | | | | | (10743) all_55_10 = e1 | all_55_10 = e0
% 223.10/38.08 | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | BETA: splitting (10743) gives:
% 223.10/38.08 | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.08 | | | | | | | | | | | | | | | | |
% 223.10/38.08 | | | | | | | | | | | | | | | | | (10744) all_55_10 = e1
% 223.10/38.09 | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (10744) imply:
% 223.10/38.09 | | | | | | | | | | | | | | | | | (10745) all_6_2 = e1
% 223.10/38.09 | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | SIMP: (10745) implies:
% 223.10/38.09 | | | | | | | | | | | | | | | | | (10746) all_6_2 = e1
% 223.10/38.09 | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | REDUCE: (350), (10746) imply:
% 223.10/38.09 | | | | | | | | | | | | | | | | | (10747) ~ (all_53_2 = e1)
% 223.10/38.09 | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | REDUCE: (361), (10746) imply:
% 223.10/38.09 | | | | | | | | | | | | | | | | | (10748) ~ (all_53_6 = e1)
% 223.10/38.09 | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | REDUCE: (39), (10746) imply:
% 223.10/38.09 | | | | | | | | | | | | | | | | | (10749) op(e1, e1) = e1
% 223.10/38.09 | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 223.10/38.09 | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.09 | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | (10750) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 223.10/38.09 | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 223.10/38.09 | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | BETA: splitting (10750) gives:
% 223.10/38.09 | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | (10751) all_57_0 = e1 & op(e3, e3) = e1
% 223.10/38.09 | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | ALPHA: (10751) implies:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | (10752) op(e3, e3) = e1
% 223.10/38.09 | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10341), (10752), (function-axioms) are
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1950.
% 223.10/38.09 | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | (10753) all_57_2 = e1 & op(e2, e3) = e1
% 223.10/38.09 | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | ALPHA: (10753) implies:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | (10754) op(e2, e3) = e1
% 223.10/38.09 | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | (10755) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10755) gives:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | (10756) all_57_1 = e1 & op(e3, e2) = e1
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10756) implies:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | (10757) op(e3, e2) = e1
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_1, e1,
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (168), (10754) gives:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | (10758) all_53_1 = e1
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_4, e1,
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (171), (10757) gives:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | (10759) all_53_4 = e1
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (10759) imply:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | (10760) ~ (all_53_6 = e1)
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | (10761) ~ (all_44_2 = e3)
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10084), (10761) imply:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | (10762) $false
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10762) is inconsistent.
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | (10763) ( ~ (all_44_0 = e1) & op(all_44_1, e2) = all_44_0
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_44_1 & $i(all_44_0) &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | $i(all_44_1)) | ( ~ (all_44_1 = e0) & op(e2, e3)
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | = all_44_1 & $i(all_44_1))
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | (10764) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10764) gives:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | (10765) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10765) implies:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | (10766) op(e3, e2) = all_52_3
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | (10767) op(all_52_3, all_52_3) = e2
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10763) gives:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | (10768) ~ (all_44_0 = e1) & op(all_44_1, e2) = all_44_0 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_44_1 & $i(all_44_0) &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_44_1)
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10768) implies:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | (10769) op(e2, e3) = all_44_1
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10083), (10749), (10754), (10757), (10766),
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | (10767), (10769), (function-axioms) are
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #231.
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | (10770) ~ (all_44_1 = e0) & op(e2, e3) = all_44_1 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_44_1)
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10770) implies:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | (10771) op(e2, e3) = all_44_1
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10083), (10749), (10754), (10757), (10766),
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | (10767), (10771), (function-axioms) are
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #231.
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | (10772) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10772) implies:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | (10773) op(e2, e3) = all_52_9
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | (10774) op(all_52_9, all_52_9) = e3
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10083) gives:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | (10775) ~ (all_8_0 = e0) & op(all_8_1, e2) = all_8_0 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_8_1 & $i(all_8_0) & $i(all_8_1)
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10775) implies:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | (10776) op(e2, e3) = all_8_1
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10346) gives:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_52_9,
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (10754), (10773) gives:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (10777) all_52_9 = e1
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_1,
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_9, e3, e2, simplifying with (10773),
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (10776) gives:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (10778) all_52_9 = all_8_1
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10777), (10778) imply:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (10779) all_8_1 = e1
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10774), (10777) imply:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (10780) op(e1, e1) = e3
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (10780), (function-axioms) are
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (10781) ~ (all_28_1 = e1) & op(e3, e2) = all_28_1 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10757), (10781), (function-axioms) are
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1249.
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | (10782) ~ (all_8_1 = e1) & op(e2, e3) = all_8_1 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_1)
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10782) implies:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | (10783) ~ (all_8_1 = e1)
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | (10784) op(e2, e3) = all_8_1
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_52_9,
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (10754), (10773) gives:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | (10785) all_52_9 = e1
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_1,
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_9, e3, e2, simplifying with (10773),
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | (10784) gives:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | (10786) all_52_9 = all_8_1
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10785), (10786) imply:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | (10787) all_8_1 = e1
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10783), (10787) imply:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | (10788) $false
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10788) is inconsistent.
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | (10789) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10789) gives:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | (10790) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10790) implies:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | (10791) op(e1, e2) = all_52_19
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | (10792) op(all_52_19, all_52_19) = e2
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (196), (256), (10083), (10087), (10095),
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | (10748), (10754), (10763), (10791), (10792),
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | #244.
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | (10793) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10793) implies:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | (10794) op(e0, e0) = all_52_31
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | (10795) op(all_52_31, all_52_31) = e0
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (10343), (10735), (10794), (10795),
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | | #2086.
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | (10796) all_57_3 = e1 & op(e2, e2) = e1
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10796) implies:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | (10797) op(e2, e2) = e1
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10095), (10797), (function-axioms) are
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1912.
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | (10798) (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_13 =
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10798) gives:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | (10799) all_57_7 = e1 & op(e1, e2) = e1
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (10748), (10799), (function-axioms) are
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2265.
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | (10800) all_57_13 = e1 & op(e0, e2) = e1
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (10731), (10800), (function-axioms) are
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #330.
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.09 | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.09 | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.09 | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | (10801) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 223.10/38.09 | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 223.10/38.09 | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | BETA: splitting (10801) gives:
% 223.10/38.09 | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | (10802) all_57_6 = e1 & op(e1, e3) = e1
% 223.10/38.09 | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10747), (10802), (function-axioms) are
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #316.
% 223.10/38.09 | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | (10803) all_57_12 = e1 & op(e0, e3) = e1
% 223.10/38.09 | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (10730), (10803), (function-axioms) are
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1947.
% 223.10/38.09 | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.09 | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | End of split
% 223.10/38.09 | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.09 | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | (10804) all_55_10 = e0
% 223.10/38.09 | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (10343), (10804) are inconsistent by
% 223.10/38.09 | | | | | | | | | | | | | | | | | sub-proof #2118.
% 223.10/38.09 | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | End of split
% 223.10/38.09 | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | End of split
% 223.10/38.09 | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | End of split
% 223.10/38.09 | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | Case 2:
% 223.10/38.09 | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | (10805) all_38_2 = e2
% 223.10/38.09 | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | COMBINE_EQS: (249), (10805) imply:
% 223.10/38.09 | | | | | | | | | | | | | | (10806) all_6_2 = e2
% 223.10/38.09 | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | REDUCE: (374), (10806) imply:
% 223.10/38.09 | | | | | | | | | | | | | | (10807) ~ (e3 = e2)
% 223.10/38.09 | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | REDUCE: (39), (10806) imply:
% 223.10/38.09 | | | | | | | | | | | | | | (10808) op(e1, e1) = e2
% 223.10/38.09 | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 223.10/38.09 | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | Case 1:
% 223.10/38.09 | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | (10809) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 223.10/38.09 | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 223.10/38.09 | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | BETA: splitting (10809) gives:
% 223.10/38.09 | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | Case 1:
% 223.10/38.09 | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | (10810) all_57_9 = e2 & op(e3, e0) = e2
% 223.10/38.09 | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | ALPHA: (10810) implies:
% 223.10/38.09 | | | | | | | | | | | | | | | | (10811) op(e3, e0) = e2
% 223.10/38.09 | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | REF_CLOSE: (169), (10340), (10811), (function-axioms) are
% 223.10/38.09 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2331.
% 223.10/38.09 | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | Case 2:
% 223.10/38.09 | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | (10812) all_57_10 = e2 & op(e2, e0) = e2
% 223.10/38.09 | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | ALPHA: (10812) implies:
% 223.10/38.09 | | | | | | | | | | | | | | | | (10813) op(e2, e0) = e2
% 223.10/38.09 | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_13,
% 223.10/38.09 | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (165), (10813) gives:
% 223.10/38.09 | | | | | | | | | | | | | | | | (10814) all_53_13 = e2
% 223.10/38.09 | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 223.10/38.09 | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.09 | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | (10815) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.10/38.09 | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.10/38.09 | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 223.10/38.09 | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 223.10/38.09 | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 223.10/38.09 | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 223.10/38.09 | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 223.10/38.09 | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 223.10/38.09 | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 223.10/38.09 | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | BETA: splitting (10815) gives:
% 223.10/38.09 | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.09 | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | (10816) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.10/38.09 | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 223.10/38.09 | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | ALPHA: (10816) implies:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | (10817) op(e3, e0) = all_52_7
% 223.10/38.09 | | | | | | | | | | | | | | | | | | (10818) op(e3, e3) = all_52_1
% 223.10/38.09 | | | | | | | | | | | | | | | | | | (10819) op(all_52_7, all_52_7) = e0
% 223.10/38.09 | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_12,
% 223.10/38.09 | | | | | | | | | | | | | | | | | | all_52_7, e0, e3, simplifying with (169), (10817)
% 223.10/38.09 | | | | | | | | | | | | | | | | | | gives:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | (10820) all_53_12 = all_52_7
% 223.10/38.09 | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_52_1,
% 223.10/38.09 | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (10341), (10818) gives:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | (10821) all_52_1 = e2
% 223.10/38.09 | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (10820) imply:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | (10822) all_55_3 = all_52_7
% 223.10/38.09 | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | REDUCE: (10340), (10820) imply:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | (10823) ~ (all_52_7 = e2)
% 223.10/38.09 | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | REDUCE: (10732), (10820) imply:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | (10824) ~ (all_52_7 = e1)
% 223.10/38.09 | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 223.10/38.09 | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | (10825) all_55_3 = e3
% 223.10/38.09 | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10822), (10825) imply:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | (10826) all_52_7 = e3
% 223.10/38.09 | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | SIMP: (10826) implies:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | (10827) all_52_7 = e3
% 223.10/38.09 | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | REDUCE: (10819), (10827) imply:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | (10828) op(e3, e3) = e0
% 223.10/38.09 | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10341), (10828), (function-axioms) are
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2403.
% 223.10/38.09 | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | (10829) all_55_3 = e2 | all_55_3 = e1 | all_55_3 = e0
% 223.10/38.09 | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10735), (10817), (10819), (10822), (10823),
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | (10824), (10829), (function-axioms) are
% 223.10/38.09 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #230.
% 223.10/38.09 | | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.09 | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.09 | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | (10830) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 223.10/38.09 | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 223.10/38.09 | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 223.10/38.09 | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | ALPHA: (10830) implies:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | (10831) op(e2, e0) = all_52_15
% 223.10/38.09 | | | | | | | | | | | | | | | | | | (10832) op(e2, e2) = all_52_11
% 223.10/38.09 | | | | | | | | | | | | | | | | | | (10833) op(all_52_15, all_52_15) = e0
% 223.10/38.09 | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10095), (10813), (10831), (10832), (10833),
% 223.10/38.09 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.09 | | | | | | | | | | | | | | | | | | #248.
% 223.10/38.09 | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | End of split
% 223.10/38.09 | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.09 | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | (10834) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 223.10/38.09 | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 223.10/38.09 | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.10/38.09 | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 223.10/38.09 | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 223.10/38.09 | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 223.10/38.09 | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 223.10/38.09 | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 223.10/38.09 | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 223.10/38.09 | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/38.09 | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 223.10/38.09 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 223.10/38.09 | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 223.10/38.09 | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 223.10/38.09 | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 223.10/38.09 | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | BETA: splitting (10834) gives:
% 223.10/38.09 | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.09 | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | (10835) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.10/38.09 | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 223.10/38.09 | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 223.10/38.09 | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 223.10/38.09 | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 223.10/38.09 | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10095), (10808), (10835), (function-axioms)
% 223.10/38.09 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #236.
% 223.10/38.09 | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.09 | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | (10836) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/38.09 | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 223.10/38.09 | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 223.10/38.09 | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 223.10/38.09 | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 223.10/38.09 | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 223.10/38.09 | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | ALPHA: (10836) implies:
% 223.10/38.09 | | | | | | | | | | | | | | | | | | (10837) op(e0, e0) = all_52_31
% 223.10/38.09 | | | | | | | | | | | | | | | | | | (10838) op(all_52_31, all_52_31) = e0
% 223.10/38.09 | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (10343), (10735), (10837), (10838),
% 223.10/38.09 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.09 | | | | | | | | | | | | | | | | | | #2086.
% 223.10/38.09 | | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | | End of split
% 223.10/38.09 | | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | End of split
% 223.10/38.09 | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | End of split
% 223.10/38.09 | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | Case 2:
% 223.10/38.09 | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | (10839) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 223.10/38.09 | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 223.10/38.09 | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | BETA: splitting (10839) gives:
% 223.10/38.09 | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | Case 1:
% 223.10/38.09 | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | (10840) all_57_11 = e2 & op(e1, e0) = e2
% 223.10/38.09 | | | | | | | | | | | | | | | |
% 223.10/38.09 | | | | | | | | | | | | | | | | ALPHA: (10840) implies:
% 223.10/38.10 | | | | | | | | | | | | | | | | (10841) all_57_11 = e2
% 223.10/38.10 | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 223.10/38.10 | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.10 | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | (10842) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 223.10/38.10 | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 223.10/38.10 | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | BETA: splitting (10842) gives:
% 223.10/38.10 | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.10 | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | (10843) all_57_6 = e3 & op(e1, e3) = e3
% 223.10/38.10 | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | ALPHA: (10843) implies:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | (10844) all_57_6 = e3
% 223.10/38.10 | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (214), (215),
% 223.10/38.10 | | | | | | | | | | | | | | | | | | (217), (374), (10343), (10808), (10841), (10844),
% 223.10/38.10 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.10 | | | | | | | | | | | | | | | | | | #229.
% 223.10/38.10 | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.10 | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | (10845) all_57_7 = e3 & op(e1, e2) = e3
% 223.10/38.10 | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (10087), (10845), (function-axioms) are
% 223.10/38.10 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #267.
% 223.10/38.10 | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | End of split
% 223.10/38.10 | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.10 | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | (10846) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 223.10/38.10 | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 223.10/38.10 | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (374), (10841), (10846),
% 223.10/38.10 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.10 | | | | | | | | | | | | | | | | | #2040.
% 223.10/38.10 | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | End of split
% 223.10/38.10 | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | Case 2:
% 223.10/38.10 | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | (10847) all_57_15 = e2 & op(e0, e0) = e2
% 223.10/38.10 | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | ALPHA: (10847) implies:
% 223.10/38.10 | | | | | | | | | | | | | | | | (10848) op(e0, e0) = e2
% 223.10/38.10 | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10735), (10848), (function-axioms) are
% 223.10/38.10 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2177.
% 223.10/38.10 | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | End of split
% 223.10/38.10 | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | End of split
% 223.10/38.10 | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | End of split
% 223.10/38.10 | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | End of split
% 223.10/38.10 | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | End of split
% 223.10/38.10 | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | Case 2:
% 223.10/38.10 | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | (10849) all_24_2 = e0
% 223.10/38.10 | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | COMBINE_EQS: (315), (10849) imply:
% 223.10/38.10 | | | | | | | | | | | (10850) all_6_2 = e0
% 223.10/38.10 | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | SIMP: (10850) implies:
% 223.10/38.10 | | | | | | | | | | | (10851) all_6_2 = e0
% 223.10/38.10 | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | COMBINE_EQS: (311), (10851) imply:
% 223.10/38.10 | | | | | | | | | | | (10852) all_34_2 = e0
% 223.10/38.10 | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | REDUCE: (350), (10851) imply:
% 223.10/38.10 | | | | | | | | | | | (10853) ~ (all_53_2 = e0)
% 223.10/38.10 | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | REDUCE: (361), (10851) imply:
% 223.10/38.10 | | | | | | | | | | | (10854) ~ (all_53_6 = e0)
% 223.10/38.10 | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | REDUCE: (363), (10851) imply:
% 223.10/38.10 | | | | | | | | | | | (10855) ~ (all_53_8 = e0)
% 223.10/38.10 | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | REDUCE: (364), (10851) imply:
% 223.10/38.10 | | | | | | | | | | | (10856) ~ (all_53_9 = e0)
% 223.10/38.10 | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | REDUCE: (366), (10851) imply:
% 223.10/38.10 | | | | | | | | | | | (10857) ~ (all_53_11 = e0)
% 223.10/38.10 | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | REDUCE: (368), (10851) imply:
% 223.10/38.10 | | | | | | | | | | | (10858) ~ (all_53_14 = e0)
% 223.10/38.10 | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | REDUCE: (374), (10851) imply:
% 223.10/38.10 | | | | | | | | | | | (10859) ~ (e3 = e0)
% 223.10/38.10 | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | BETA: splitting (214) gives:
% 223.10/38.10 | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | Case 1:
% 223.10/38.10 | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | (10860) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 223.10/38.10 | | | | | | | | | | | | & op(e1, e2) = e0)
% 223.10/38.10 | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | REF_CLOSE: (163), (164), (10853), (10854), (10860),
% 223.10/38.10 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.10 | | | | | | | | | | | | #2038.
% 223.10/38.10 | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | Case 2:
% 223.10/38.10 | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | (10861) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 223.10/38.10 | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 223.10/38.10 | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | BETA: splitting (10861) gives:
% 223.10/38.10 | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | Case 1:
% 223.10/38.10 | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | (10862) all_57_8 = e0 & op(e1, e1) = e0
% 223.10/38.10 | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | ALPHA: (10862) implies:
% 223.10/38.10 | | | | | | | | | | | | | (10863) all_57_8 = e0
% 223.10/38.10 | | | | | | | | | | | | | (10864) op(e1, e1) = e0
% 223.10/38.10 | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | BETA: splitting (73) gives:
% 223.10/38.10 | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | Case 1:
% 223.10/38.10 | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | (10865) ~ (all_28_2 = e2)
% 223.10/38.10 | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | REDUCE: (10334), (10865) imply:
% 223.10/38.10 | | | | | | | | | | | | | | (10866) $false
% 223.10/38.10 | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | CLOSE: (10866) is inconsistent.
% 223.10/38.10 | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | Case 2:
% 223.10/38.10 | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | (10867) ( ~ (all_28_0 = e0) & op(all_28_1, e3) = all_28_0
% 223.10/38.10 | | | | | | | | | | | | | | & op(e3, e2) = all_28_1 & $i(all_28_0) &
% 223.10/38.10 | | | | | | | | | | | | | | $i(all_28_1)) | ( ~ (all_28_1 = e1) & op(e3, e2)
% 223.10/38.10 | | | | | | | | | | | | | | = all_28_1 & $i(all_28_1))
% 223.10/38.10 | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 223.10/38.10 | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | Case 1:
% 223.10/38.10 | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | (10868) ~ (all_30_2 = e1)
% 223.10/38.10 | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | REDUCE: (330), (10868) imply:
% 223.10/38.10 | | | | | | | | | | | | | | | (10869) ~ (all_4_2 = e1)
% 223.10/38.10 | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 223.10/38.10 | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | Case 1:
% 223.10/38.10 | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | (10870) all_55_15 = e3
% 223.10/38.10 | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | REF_CLOSE: (244), (10098), (10870) are inconsistent by
% 223.10/38.10 | | | | | | | | | | | | | | | | sub-proof #2503.
% 223.10/38.10 | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | Case 2:
% 223.10/38.10 | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | (10871) ~ (all_55_15 = e3)
% 223.10/38.10 | | | | | | | | | | | | | | | | (10872) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 223.10/38.10 | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | BETA: splitting (10872) gives:
% 223.10/38.10 | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.10 | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | (10873) all_55_15 = e2
% 223.10/38.10 | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (10873) are inconsistent by
% 223.10/38.10 | | | | | | | | | | | | | | | | | sub-proof #2502.
% 223.10/38.10 | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.10 | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | (10874) ~ (all_55_15 = e2)
% 223.10/38.10 | | | | | | | | | | | | | | | | | (10875) all_55_15 = e1 | all_55_15 = e0
% 223.10/38.10 | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | BETA: splitting (10875) gives:
% 223.10/38.10 | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.10 | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | (10876) all_55_15 = e1
% 223.10/38.10 | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (10869), (10876) are inconsistent by
% 223.10/38.10 | | | | | | | | | | | | | | | | | | sub-proof #2501.
% 223.10/38.10 | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.10 | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | (10877) all_55_15 = e0
% 223.10/38.10 | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (10877) imply:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | (10878) all_4_2 = e0
% 223.10/38.10 | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | SIMP: (10878) implies:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | (10879) all_4_2 = e0
% 223.10/38.10 | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | REDUCE: (351), (10879) imply:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | (10880) ~ (all_53_3 = e0)
% 223.10/38.10 | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | REDUCE: (362), (10879) imply:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | (10881) ~ (all_53_7 = e0)
% 223.10/38.10 | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | REDUCE: (373), (10879) imply:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | (10882) ~ (e2 = e0)
% 223.10/38.10 | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | REDUCE: (10869), (10879) imply:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | (10883) ~ (e1 = e0)
% 223.10/38.10 | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | REDUCE: (36), (10879) imply:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | (10884) op(e0, e0) = e0
% 223.10/38.10 | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 223.10/38.10 | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | (10885) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 223.10/38.10 | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | BETA: splitting (10885) gives:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | (10886) all_57_0 = e0 & op(e3, e3) = e0
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | ALPHA: (10886) implies:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | (10887) op(e3, e3) = e0
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10341), (10887), (function-axioms) are
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2403.
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | (10888) all_57_2 = e0 & op(e2, e3) = e0
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | ALPHA: (10888) implies:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | (10889) all_57_2 = e0
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | (10890) op(e2, e3) = e0
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | (10891) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10891) gives:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | (10892) all_57_1 = e0 & op(e3, e2) = e0
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10892) implies:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | (10893) op(e3, e2) = e0
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | (10894) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10894) gives:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | (10895) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10895) implies:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | (10896) op(e3, e2) = all_52_3
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | (10897) op(all_52_3, all_52_3) = e2
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (159), (163), (165), (166),
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (244), (362),
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | (371), (373), (10094), (10098), (10854), (10856),
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | (10869), (10875), (10896), (10897),
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | #228.
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | (10898) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10898) implies:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | (10899) op(e2, e3) = all_52_9
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | (10900) op(all_52_9, all_52_9) = e3
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (160), (164), (168), (190), (230), (244),
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | (351), (373), (10098), (10341), (10853), (10869),
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | (10899), (10900), (function-axioms) are
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1570.
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | (10901) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10901) gives:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | (10902) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10902) implies:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | (10903) op(e1, e1) = all_52_21
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | (10904) op(all_52_21, all_52_21) = e1
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10083), (10864), (10884), (10890), (10903),
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | (10904), (function-axioms) are inconsistent by
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #227.
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | (10905) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10905) implies:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | (10906) op(e0, e3) = all_52_25
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | (10907) op(all_52_25, all_52_25) = e3
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (171), (193), (247), (10332), (10337),
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | (10341), (10867), (10880), (10893), (10906),
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | (10907), (function-axioms) are inconsistent by
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1567.
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | (10908) all_57_3 = e0 & op(e2, e2) = e0
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10908) implies:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | (10909) all_57_3 = e0
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | (10889), (10909) are inconsistent by sub-proof
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | #2246.
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | (10910) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (10854), (10881), (10910),
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | #2024.
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.10 | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | (10911) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 223.10/38.10 | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (10853), (10880), (10911),
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | #1859.
% 223.10/38.10 | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.10 | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | End of split
% 223.10/38.10 | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | End of split
% 223.10/38.10 | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | End of split
% 223.10/38.10 | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | Case 2:
% 223.10/38.10 | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | (10912) all_30_2 = e1
% 223.10/38.10 | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | COMBINE_EQS: (330), (10912) imply:
% 223.10/38.10 | | | | | | | | | | | | | | | (10913) all_4_2 = e1
% 223.10/38.10 | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | SIMP: (10913) implies:
% 223.10/38.10 | | | | | | | | | | | | | | | (10914) all_4_2 = e1
% 223.10/38.10 | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | REDUCE: (351), (10914) imply:
% 223.10/38.10 | | | | | | | | | | | | | | | (10915) ~ (all_53_3 = e1)
% 223.10/38.10 | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | REDUCE: (362), (10914) imply:
% 223.10/38.10 | | | | | | | | | | | | | | | (10916) ~ (all_53_7 = e1)
% 223.10/38.10 | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | REDUCE: (369), (10914) imply:
% 223.10/38.10 | | | | | | | | | | | | | | | (10917) ~ (all_53_11 = e1)
% 223.10/38.10 | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | REDUCE: (370), (10914) imply:
% 223.10/38.10 | | | | | | | | | | | | | | | (10918) ~ (all_53_12 = e1)
% 223.10/38.10 | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | REDUCE: (372), (10914) imply:
% 223.10/38.10 | | | | | | | | | | | | | | | (10919) ~ (all_53_14 = e1)
% 223.10/38.10 | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | REDUCE: (10098), (10914) imply:
% 223.10/38.10 | | | | | | | | | | | | | | | (10920) ~ (e3 = e1)
% 223.10/38.10 | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | REDUCE: (373), (10914) imply:
% 223.10/38.10 | | | | | | | | | | | | | | | (10921) ~ (e2 = e1)
% 223.10/38.10 | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | REDUCE: (36), (10914) imply:
% 223.10/38.10 | | | | | | | | | | | | | | | (10922) op(e0, e0) = e1
% 223.10/38.10 | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 223.10/38.10 | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | Case 1:
% 223.10/38.10 | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | (10923) ~ (all_34_2 = e0)
% 223.10/38.10 | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | REDUCE: (10852), (10923) imply:
% 223.10/38.10 | | | | | | | | | | | | | | | | (10924) $false
% 223.10/38.10 | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | CLOSE: (10924) is inconsistent.
% 223.10/38.10 | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | Case 2:
% 223.10/38.10 | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | (10925) ( ~ (all_34_0 = e3) & op(all_34_1, e1) = all_34_0
% 223.10/38.10 | | | | | | | | | | | | | | | | & op(e1, e0) = all_34_1 & $i(all_34_0) &
% 223.10/38.10 | | | | | | | | | | | | | | | | $i(all_34_1)) | ( ~ (all_34_1 = e2) & op(e1, e0)
% 223.10/38.10 | | | | | | | | | | | | | | | | = all_34_1 & $i(all_34_1))
% 223.10/38.10 | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 223.10/38.10 | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.10 | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | (10926) all_55_14 = e3
% 223.10/38.10 | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (10926) imply:
% 223.10/38.10 | | | | | | | | | | | | | | | | | (10927) all_53_11 = e3
% 223.10/38.10 | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | REDUCE: (140), (10927) imply:
% 223.10/38.10 | | | | | | | | | | | | | | | | | (10928) ~ (all_53_3 = e3)
% 223.10/38.10 | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 223.10/38.10 | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.10 | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | (10929) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_5 = e2
% 223.10/38.10 | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 223.10/38.10 | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | BETA: splitting (10929) gives:
% 223.10/38.10 | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | (10930) all_57_4 = e2 & op(e3, e1) = e2
% 223.10/38.10 | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (237),
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | (10341), (10930), (function-axioms) are
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #226.
% 223.10/38.10 | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | (10931) all_57_5 = e2 & op(e2, e1) = e2
% 223.10/38.10 | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | ALPHA: (10931) implies:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | (10932) all_57_5 = e2
% 223.10/38.10 | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | (10933) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10933) gives:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | (10934) all_57_4 = e3 & op(e3, e1) = e3
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10934) implies:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | (10935) all_57_4 = e3
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | (10936) all_55_12 = e3
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (10936) imply:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | (10937) all_53_3 = e3
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10928), (10937) imply:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | (10938) $false
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10938) is inconsistent.
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | (10939) ~ (all_55_12 = e3)
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | (10940) all_55_12 = e2 | all_55_12 = e1 | all_55_12 = e0
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10940) gives:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | (10941) all_55_12 = e2
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (10941) imply:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | (10942) all_53_3 = e2
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10337), (10942) imply:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | (10943) $false
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10943) is inconsistent.
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | (10944) ~ (all_55_12 = e2)
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | (10945) all_55_12 = e1 | all_55_12 = e0
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | (10946) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_2 = e3
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (10085), (10341), (10946),
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | #241.
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | (10947) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_12 =
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10947) gives:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | | (10948) all_57_6 = e3 & op(e1, e3) = e3
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10948) implies:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | | (10949) all_57_6 = e3
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (39), (158), (161),
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (219), (374), (10863),
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | | (10864), (10917), (10919), (10932), (10935),
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | | (10949), (function-axioms) are inconsistent by
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #222.
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | | (10950) all_57_12 = e3 & op(e0, e3) = e3
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (145), (149), (164), (168), (193),
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | | (230), (247), (10337), (10341), (10915), (10928),
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | | (10945), (10950), (function-axioms) are
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #219.
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | (10951) all_57_5 = e3 & op(e2, e1) = e3
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (10089), (10951), (function-axioms) are
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #270.
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | (10952) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10952) gives:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | (10953) all_57_8 = e3 & op(e1, e1) = e3
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.10 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10953) implies:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | (10954) op(e1, e1) = e3
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (10954), (function-axioms) are
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | (10955) all_57_14 = e3 & op(e0, e1) = e3
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10955) implies:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | (10956) all_57_14 = e3
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | (10957) all_55_12 = e3
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (10957) imply:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | (10958) all_53_3 = e3
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10928), (10958) imply:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | (10959) $false
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10959) is inconsistent.
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | (10960) ~ (all_55_12 = e3)
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | (10961) all_55_12 = e2 | all_55_12 = e1 | all_55_12 = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10961) gives:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | (10962) all_55_12 = e2
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (10962) imply:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | (10963) all_53_3 = e2
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10337), (10963) imply:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | (10964) $false
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10964) is inconsistent.
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | (10965) ~ (all_55_12 = e2)
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | (10966) all_55_12 = e1 | all_55_12 = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | (10967) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_2 = e3
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (10085), (10341), (10967),
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | #241.
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | (10968) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_12 =
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10968) gives:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | (10969) all_57_6 = e3 & op(e1, e3) = e3
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10969) implies:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | (10970) all_57_6 = e3
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (10971) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_1 = e3
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (171), (230), (232),
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (10086), (10970), (10971),
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | #269.
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (10972) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_9 = e3
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10972) gives:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10973) all_57_4 = e3 & op(e3, e1) = e3
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10973) implies:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10974) all_57_4 = e3
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (39), (158), (161),
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (216), (217), (219), (374), (10863),
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10864), (10917), (10919), (10932), (10970),
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10974), (function-axioms) are inconsistent by
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #222.
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10975) all_57_9 = e3 & op(e3, e0) = e3
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10975) implies:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10976) op(e3, e0) = e3
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10977) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10977) gives:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10978) all_57_6 = e1 & op(e1, e3) = e1
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10970), (10978) are inconsistent by
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2117.
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10979) all_57_7 = e1 & op(e1, e2) = e1
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10979) implies:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10980) all_57_7 = e1
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10981) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10981) gives:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10982) all_57_4 = e1 & op(e3, e1) = e1
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10982) implies:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10983) all_57_4 = e1
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10984) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_7 = e2
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10984) gives:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10985) all_57_6 = e2 & op(e1, e3) = e2
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10985) implies:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10986) all_57_6 = e2
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10970), (10986) imply:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10987) e3 = e2
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10956), (10987) imply:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10988) all_57_14 = e2
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (39), (221), (374), (10932), (10983),
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10988), (function-axioms) are inconsistent by
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1889.
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10989) all_57_7 = e2 & op(e1, e2) = e2
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10989) implies:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10990) all_57_7 = e2
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10980), (10990) are inconsistent by
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1761.
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10991) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_11 =
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10991) gives:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10992) all_57_8 = e2 & op(e1, e1) = e2
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10863), (10992) are inconsistent by
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2005.
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10993) all_57_11 = e2 & op(e1, e0) = e2
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10993) implies:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10994) all_57_11 = e2
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10995) op(e1, e0) = e2
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10996) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10996) gives:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10997) all_57_12 = e2 & op(e0, e3) = e2
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10997) implies:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10998) op(e0, e3) = e2
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (10337), (10998), (function-axioms) are
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1980.
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10999) all_57_13 = e2 & op(e0, e2) = e2
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10999) implies:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11000) all_57_13 = e2
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11001) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11001) gives:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11002) all_57_1 = e0 & op(e3, e2) = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11002) implies:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11003) all_57_1 = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11004) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (149), (168), (247), (10341), (10915),
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10966), (11004), (function-axioms) are
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #220.
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11005) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11005) gives:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11006) all_57_6 = e0 & op(e1, e3) = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11006) implies:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11007) all_57_6 = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (39), (217), (374), (10980),
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10994), (11007), (function-axioms) are
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2114.
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11008) all_57_12 = e0 & op(e0, e3) = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11008) implies:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11009) all_57_12 = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11010) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11010) gives:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11011) all_57_2 = e0 & op(e2, e3) = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (149), (168), (247), (10915), (10966), (11011),
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #221.
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11012) all_57_3 = e0 & op(e2, e2) = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11012) implies:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11013) all_57_3 = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11014) op(e2, e2) = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (227), (228), (229),
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11000), (11003), (11013), (11014),
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1281.
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11015) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11015) gives:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11016) all_57_5 = e0 & op(e2, e1) = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (10856), (11016), (function-axioms) are
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2023.
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11017) all_57_10 = e0 & op(e2, e0) = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11017) implies:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11018) all_57_10 = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11019) op(e2, e0) = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10966) gives:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11020) all_55_12 = e1
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (10915), (11020) are inconsistent by
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1994.
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11021) all_55_12 = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (11021) imply:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11022) all_53_3 = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11022) implies:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11023) all_53_3 = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (11023) imply:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11024) ~ (all_53_1 = e0)
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10915), (11023) imply:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11025) ~ (e1 = e0)
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (11023) imply:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11026) op(e0, e3) = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11027) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11027) gives:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11028) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11028) implies:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11029) op(e3, e0) = all_52_7
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11030) op(e3, e3) = all_52_1
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11031) op(all_52_7, all_52_7) = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11032) op(all_52_1, all_52_1) = e3
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10925) gives:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_52_7,
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (10976), (11029) gives:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11033) all_52_7 = e3
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11031), (11033) imply:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11034) op(e3, e3) = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (161), (169), (211), (10918), (10919),
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11018), (11030), (11032), (11034),
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #217.
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11035) ~ (all_34_1 = e2) & op(e1, e0) = all_34_1 &
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11035) implies:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11036) ~ (all_34_1 = e2)
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11037) op(e1, e0) = all_34_1
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10995), (11036), (11037), (function-axioms) are
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1190.
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11038) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11038) implies:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11039) op(e2, e0) = all_52_15
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11040) op(all_52_15, all_52_15) = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (161), (169), (211), (10918), (10919),
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11018), (11019), (11039), (11040),
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #216.
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11041) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11041) gives:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11042) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11042) implies:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11043) op(e1, e3) = all_52_17
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11044) op(all_52_17, all_52_17) = e3
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (150), (164), (190), (197), (201), (244),
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (257), (267), (374), (10098), (10335), (10336),
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10341), (10853), (11024), (11043), (11044),
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1864.
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11045) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11045) implies:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11046) op(e0, e0) = all_52_31
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11047) op(e0, e3) = all_52_25
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11048) op(all_52_25, all_52_25) = e3
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (160), (208), (209),
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (10337), (10922), (11009), (11026),
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11046), (11047), (11048), (function-axioms) are
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1962.
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11049) all_57_3 = e0 & op(e2, e2) = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11049) implies:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11050) all_57_3 = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10094), (11050) imply:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11051) e3 = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10970), (11051) imply:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11052) all_57_6 = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (39), (217), (374), (10980),
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10994), (11052), (function-axioms) are
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2114.
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11053) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11053) gives:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11054) all_57_7 = e0 & op(e1, e2) = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11054) implies:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11055) all_57_7 = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (39), (215), (217),
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (10864), (10994), (11055),
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1314.
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11056) all_57_13 = e0 & op(e0, e2) = e0
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11000), (11056) are inconsistent by
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1743.
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11057) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11057) gives:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11058) all_57_14 = e2 & op(e0, e1) = e2
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11058) implies:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11059) all_57_14 = e2
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (39), (221), (374), (10932), (10983),
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11059), (function-axioms) are inconsistent by
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1889.
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11060) all_57_15 = e2 & op(e0, e0) = e2
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11060) implies:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11061) op(e0, e0) = e2
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10922), (11061), (function-axioms) are
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2177.
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11062) all_57_5 = e1 & op(e2, e1) = e1
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11062) implies:
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11063) all_57_5 = e1
% 223.10/38.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10932), (11063) are inconsistent by
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1885.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11064) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (158), (10864), (10917), (11064),
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #224.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11065) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (161), (10864), (10919), (11065),
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #223.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | (11066) all_57_12 = e3 & op(e0, e3) = e3
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (145), (149), (164), (168), (193),
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | (230), (247), (10337), (10341), (10915), (10928),
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | (10966), (11066), (function-axioms) are
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #219.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.12 | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.12 | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | (11067) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_14 =
% 223.10/38.12 | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 223.10/38.12 | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | BETA: splitting (11067) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | (11068) all_57_8 = e2 & op(e1, e1) = e2
% 223.10/38.12 | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10863), (11068) are inconsistent by
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | sub-proof #2005.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | (11069) all_57_14 = e2 & op(e0, e1) = e2
% 223.10/38.12 | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | ALPHA: (11069) implies:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | (11070) all_57_14 = e2
% 223.10/38.12 | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | (11071) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11071) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | (11072) all_57_4 = e3 & op(e3, e1) = e3
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11072) implies:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | (11073) all_57_4 = e3
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | (11074) all_55_12 = e3
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (11074) imply:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | (11075) all_53_3 = e3
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10928), (11075) imply:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | (11076) $false
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11076) is inconsistent.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | (11077) ~ (all_55_12 = e3)
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | (11078) all_55_12 = e2 | all_55_12 = e1 | all_55_12 = e0
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11078) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | (11079) all_55_12 = e2
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (11079) imply:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | (11080) all_53_3 = e2
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10337), (11080) imply:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | (11081) $false
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11081) is inconsistent.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | (11082) ~ (all_55_12 = e2)
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | (11083) all_55_12 = e1 | all_55_12 = e0
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | (11084) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_2 = e3
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (10085), (10341), (11084),
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | #241.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | (11085) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_12 =
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11085) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | (11086) all_57_6 = e3 & op(e1, e3) = e3
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11086) implies:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | (11087) all_57_6 = e3
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (11088) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 =
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11088) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11089) all_57_12 = e3 & op(e0, e3) = e3
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (145), (149), (164), (168), (193),
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (247), (10337), (10341), (10915), (10928),
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11083), (11089), (function-axioms) are
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #219.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11090) all_57_13 = e3 & op(e0, e2) = e3
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11090) implies:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11091) all_57_13 = e3
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11092) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11092) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11093) all_57_6 = e1 & op(e1, e3) = e1
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11087), (11093) are inconsistent by
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2117.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11094) all_57_7 = e1 & op(e1, e2) = e1
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11094) implies:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11095) all_57_7 = e1
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11096) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233),
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10095), (10341), (11073), (11096),
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #235.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11097) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11097) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11098) all_57_7 = e2 & op(e1, e2) = e2
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11098) implies:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11099) all_57_7 = e2
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11095), (11099) imply:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11100) e2 = e1
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11100) implies:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11101) e2 = e1
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11070), (11101) imply:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11102) all_57_14 = e1
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (160), (209), (10337), (10922), (11091),
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11102), (function-axioms) are inconsistent by
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1967.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11103) all_57_13 = e2 & op(e0, e2) = e2
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11103) implies:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11104) all_57_13 = e2
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11091), (11104) imply:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11105) e3 = e2
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11073), (11105) imply:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11106) all_57_4 = e2
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (219),
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (374), (11070), (11106),
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2370.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11107) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (161), (10864), (10919), (11107),
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #223.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (11108) (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 =
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (219),
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (374), (10922), (11070), (11073),
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (11108), (function-axioms) are inconsistent by
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1872.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | (11109) all_57_12 = e3 & op(e0, e3) = e3
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (145), (149), (164), (168), (193),
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | (230), (247), (10337), (10341), (10915), (10928),
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | (11083), (11109), (function-axioms) are
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #219.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | (11110) all_57_5 = e3 & op(e2, e1) = e3
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (10089), (11110), (function-axioms) are
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #270.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | (11111) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (39), (374), (11070), (11111),
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | #2409.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.12 | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.12 | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | End of split
% 223.10/38.12 | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | (11112) ~ (all_55_14 = e3)
% 223.10/38.12 | | | | | | | | | | | | | | | | | (11113) all_55_14 = e2 | all_55_14 = e1 | all_55_14 = e0
% 223.10/38.12 | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | REDUCE: (245), (11112) imply:
% 223.10/38.12 | | | | | | | | | | | | | | | | | (11114) ~ (all_53_11 = e3)
% 223.10/38.12 | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | (11115) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 223.10/38.12 | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 223.10/38.12 | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | BETA: splitting (11115) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | (11116) all_57_4 = e3 & op(e3, e1) = e3
% 223.10/38.12 | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | ALPHA: (11116) implies:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | (11117) all_57_4 = e3
% 223.10/38.12 | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | (11118) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11118) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | (11119) all_57_4 = e1 & op(e3, e1) = e1
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11119) implies:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | (11120) all_57_4 = e1
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11117), (11120) are inconsistent by
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | sub-proof #2426.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | (11121) all_57_5 = e1 & op(e2, e1) = e1
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11121) implies:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | (11122) all_57_5 = e1
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | (11123) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11123) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | (11124) all_57_0 = e1 & op(e3, e3) = e1
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11124) implies:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | (11125) op(e3, e3) = e1
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (169), (171), (235), (10338), (10340),
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | (11117), (11125), (function-axioms) are
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #234.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | (11126) all_57_1 = e1 & op(e3, e2) = e1
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11126) implies:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | (11127) all_57_1 = e1
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | (11128) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (10095), (10335), (11128),
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | #242.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | (11129) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11129) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | (11130) all_57_5 = e2 & op(e2, e1) = e2
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11130) implies:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | (11131) all_57_5 = e2
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11122), (11131) are inconsistent by
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1885.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | (11132) all_57_10 = e2 & op(e2, e0) = e2
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11132) implies:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | (11133) all_57_10 = e2
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | (11134) op(e2, e0) = e2
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (11135) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11135) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11136) all_57_2 = e0 & op(e2, e3) = e0
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11136) implies:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11137) all_57_2 = e0
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11138) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_5 = e2
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11138) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11139) all_57_4 = e2 & op(e3, e1) = e2
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (237),
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10341), (11139), (function-axioms) are
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #226.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11140) all_57_5 = e2 & op(e2, e1) = e2
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11122), (11140) are inconsistent by
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2251.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11141) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_14 =
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11141) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11142) all_57_8 = e2 & op(e1, e1) = e2
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10863), (11142) are inconsistent by
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2005.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11143) all_57_14 = e2 & op(e0, e1) = e2
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11143) implies:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11144) all_57_14 = e2
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11145) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11145) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11146) all_57_0 = e0 & op(e3, e3) = e0
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11146) implies:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11147) op(e3, e3) = e0
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10341), (11147), (function-axioms) are
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2403.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11148) all_57_1 = e0 & op(e3, e2) = e0
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11148) implies:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11149) all_57_1 = e0
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11127), (11149) imply:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11150) e1 = e0
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11122), (11150) imply:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11151) all_57_5 = e0
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (219), (10864), (11117), (11144),
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11151), (function-axioms) are inconsistent by
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #215.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11152) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11152) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11153) all_57_4 = e0 & op(e3, e1) = e0
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11153) implies:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11154) op(e3, e1) = e0
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (10855), (11154), (function-axioms) are
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11155) all_57_9 = e0 & op(e3, e0) = e0
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11155) implies:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11156) all_57_9 = e0
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11157) op(e3, e0) = e0
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11158) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11158) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11159) all_57_0 = e1 & op(e3, e3) = e1
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11159) implies:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11160) op(e3, e3) = e1
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (235), (11117), (11127), (11156),
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11160), (function-axioms) are inconsistent by
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #296.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11161) all_57_2 = e1 & op(e2, e3) = e1
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11161) implies:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11162) all_57_2 = e1
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11137), (11162) imply:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11163) e1 = e0
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11163) implies:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11164) e1 = e0
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11122), (11164) imply:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11165) all_57_5 = e0
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (219), (10864), (11117), (11144),
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11165), (function-axioms) are inconsistent by
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #215.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11166) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11166) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11167) all_57_6 = e1 & op(e1, e3) = e1
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11167) implies:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11168) op(e1, e3) = e1
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11113) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11169) all_55_14 = e2
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (11169) imply:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11170) all_53_11 = e2
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11170) implies:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11171) all_53_11 = e2
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (11171) imply:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11172) ~ (all_53_7 = e2)
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11114), (11171) imply:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11173) ~ (e3 = e2)
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11174) all_55_13 = e3
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (10088), (11174) are inconsistent by
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2080.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11175) ~ (all_55_13 = e3)
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11176) all_55_13 = e2 | all_55_13 = e1 | all_55_13 = e0
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11176) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11177) all_55_13 = e2
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (11172), (11177) are inconsistent by
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2287.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11178) ~ (all_55_13 = e2)
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11179) all_55_13 = e1 | all_55_13 = e0
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11179) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11180) all_55_13 = e1
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (10916), (11180) are inconsistent by
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2002.
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11181) all_55_13 = e0
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (11181) imply:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11182) all_53_7 = e0
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11182) implies:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11183) all_53_7 = e0
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (11183) imply:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11184) ~ (all_53_3 = e0)
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11172), (11183) imply:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11185) ~ (e2 = e0)
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10916), (11183) imply:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11186) ~ (e1 = e0)
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (11183) imply:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11187) op(e0, e2) = e0
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11188) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11188) gives:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11189) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11189) implies:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11190) op(e3, e0) = all_52_7
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11191) op(all_52_7, all_52_7) = e0
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10922), (11157), (11190), (11191),
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2000.
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11192) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11192) implies:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11193) op(e2, e0) = all_52_15
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11194) op(e2, e2) = all_52_11
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11195) op(all_52_15, all_52_15) = e0
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10095), (11134), (11193), (11194), (11195),
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #248.
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11196) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11196) gives:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11197) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11197) implies:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11198) op(e1, e3) = all_52_17
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11199) op(all_52_17, all_52_17) = e3
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (195), (336), (374), (11168), (11198),
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11199), (function-axioms) are inconsistent by
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1998.
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11200) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11200) implies:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11201) op(e0, e0) = all_52_31
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11202) op(e0, e2) = all_52_27
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11203) op(all_52_27, all_52_27) = e2
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (160), (207),
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (10915), (10922), (11172),
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11184), (11187), (11201), (11202), (11203),
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1876.
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11204) all_55_14 = e1 | all_55_14 = e0
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (245), (10857), (10917), (11204) are inconsistent
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1720.
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11205) all_57_12 = e1 & op(e0, e3) = e1
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (10915), (11205), (function-axioms) are
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1947.
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11206) all_57_3 = e0 & op(e2, e2) = e0
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11206) implies:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11207) all_57_3 = e0
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10094), (11207) are inconsistent by
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2358.
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (11208) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11208) gives:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11209) all_57_5 = e0 & op(e2, e1) = e0
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (10856), (11209), (function-axioms) are
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2023.
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11210) all_57_10 = e0 & op(e2, e0) = e0
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11210) implies:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11211) all_57_10 = e0
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11133), (11211) are inconsistent by
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2138.
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | (11212) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11212) gives:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | (11213) all_57_4 = e1 & op(e3, e1) = e1
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11213) implies:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | (11214) all_57_4 = e1
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11117), (11214) are inconsistent by
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2426.
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | (11215) all_57_9 = e1 & op(e3, e0) = e1
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (10918), (11215), (function-axioms) are
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2131.
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | (11216) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (158), (10864), (10917), (11216),
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | #224.
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | (11217) all_57_5 = e3 & op(e2, e1) = e3
% 223.10/38.13 | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (10089), (11217), (function-axioms) are
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #270.
% 223.10/38.13 | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.13 | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | (11218) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 223.10/38.13 | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 223.10/38.13 | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | BETA: splitting (11218) gives:
% 223.10/38.13 | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | (11219) all_57_8 = e3 & op(e1, e1) = e3
% 223.10/38.13 | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | ALPHA: (11219) implies:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | (11220) op(e1, e1) = e3
% 223.10/38.13 | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (11220), (function-axioms) are
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 223.10/38.13 | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | (11221) all_57_14 = e3 & op(e0, e1) = e3
% 223.10/38.13 | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | ALPHA: (11221) implies:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | (11222) all_57_14 = e3
% 223.10/38.13 | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | (11223) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11223) gives:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | (11224) all_57_12 = e2 & op(e0, e3) = e2
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11224) implies:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | (11225) op(e0, e3) = e2
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (10337), (11225), (function-axioms) are
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1980.
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | (11226) all_57_13 = e2 & op(e0, e2) = e2
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11226) implies:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | (11227) op(e0, e2) = e2
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11113) gives:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | (11228) all_55_14 = e2
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (11228) imply:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | (11229) all_53_11 = e2
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (11229) imply:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | (11230) ~ (all_53_7 = e2)
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (11227), (11230), (function-axioms) are
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2335.
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | (11231) all_55_14 = e1 | all_55_14 = e0
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (245), (10857), (10917), (11231) are inconsistent
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1720.
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | (11232) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (10922), (11222), (11232),
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | #1393.
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | Case 2:
% 223.10/38.13 | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | (11233) all_57_11 = e0 & op(e1, e0) = e0
% 223.10/38.13 | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | REF_CLOSE: (161), (10858), (11233), (function-axioms) are
% 223.10/38.13 | | | | | | | | | | | | | inconsistent by sub-proof #2341.
% 223.10/38.13 | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | End of split
% 223.10/38.13 | | | | | | | | |
% 223.10/38.13 | | | | | | | | Case 2:
% 223.10/38.13 | | | | | | | | |
% 223.10/38.13 | | | | | | | | | (11234) all_18_2 = e0
% 223.10/38.13 | | | | | | | | |
% 223.10/38.13 | | | | | | | | | COMBINE_EQS: (327), (11234) imply:
% 223.10/38.13 | | | | | | | | | (11235) all_10_2 = e0
% 223.10/38.13 | | | | | | | | |
% 223.10/38.13 | | | | | | | | | SIMP: (11235) implies:
% 223.10/38.13 | | | | | | | | | (11236) all_10_2 = e0
% 223.10/38.13 | | | | | | | | |
% 223.10/38.13 | | | | | | | | | REDUCE: (338), (11236) imply:
% 223.10/38.13 | | | | | | | | | (11237) ~ (all_53_1 = e0)
% 223.10/38.13 | | | | | | | | |
% 223.10/38.13 | | | | | | | | | REDUCE: (342), (11236) imply:
% 223.10/38.13 | | | | | | | | | (11238) ~ (all_53_3 = e0)
% 223.10/38.13 | | | | | | | | |
% 223.10/38.13 | | | | | | | | | REDUCE: (344), (11236) imply:
% 223.10/38.13 | | | | | | | | | (11239) ~ (all_53_4 = e0)
% 223.10/38.13 | | | | | | | | |
% 223.10/38.13 | | | | | | | | | REDUCE: (346), (11236) imply:
% 223.10/38.13 | | | | | | | | | (11240) ~ (all_53_8 = e0)
% 223.10/38.13 | | | | | | | | |
% 223.10/38.13 | | | | | | | | | REDUCE: (348), (11236) imply:
% 223.10/38.13 | | | | | | | | | (11241) ~ (all_53_12 = e0)
% 223.10/38.13 | | | | | | | | |
% 223.10/38.13 | | | | | | | | | BETA: splitting (231) gives:
% 223.10/38.13 | | | | | | | | |
% 223.10/38.13 | | | | | | | | | Case 1:
% 223.10/38.13 | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | (11242) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 223.10/38.13 | | | | | | | | | | & op(e3, e2) = e0)
% 223.10/38.13 | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | BETA: splitting (11242) gives:
% 223.10/38.13 | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | Case 1:
% 223.10/38.13 | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | (11243) all_57_0 = e0 & op(e3, e3) = e0
% 223.10/38.13 | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | ALPHA: (11243) implies:
% 223.10/38.13 | | | | | | | | | | | (11244) all_57_0 = e0
% 223.10/38.13 | | | | | | | | | | | (11245) op(e3, e3) = e0
% 223.10/38.13 | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | BETA: splitting (67) gives:
% 223.10/38.13 | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | Case 1:
% 223.10/38.13 | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | (11246) ~ (all_24_2 = e0)
% 223.10/38.13 | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | REDUCE: (315), (11246) imply:
% 223.10/38.13 | | | | | | | | | | | | (11247) ~ (all_6_2 = e0)
% 223.10/38.13 | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | BETA: splitting (76) gives:
% 223.10/38.13 | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | Case 1:
% 223.10/38.13 | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | (11248) ~ (all_30_2 = e1)
% 223.10/38.13 | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | REDUCE: (330), (11248) imply:
% 223.10/38.13 | | | | | | | | | | | | | (11249) ~ (all_4_2 = e1)
% 223.10/38.13 | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | BETA: splitting (190) gives:
% 223.10/38.13 | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | Case 1:
% 223.10/38.13 | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | (11250) all_55_15 = e3
% 223.10/38.13 | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | REF_CLOSE: (244), (10098), (11250) are inconsistent by
% 223.10/38.13 | | | | | | | | | | | | | | sub-proof #2503.
% 223.10/38.13 | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | Case 2:
% 223.10/38.13 | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | (11251) ~ (all_55_15 = e3)
% 223.10/38.13 | | | | | | | | | | | | | | (11252) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 223.10/38.13 | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | BETA: splitting (11252) gives:
% 223.10/38.13 | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | Case 1:
% 223.10/38.13 | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | (11253) all_55_15 = e2
% 223.10/38.13 | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (11253) are inconsistent by
% 223.10/38.13 | | | | | | | | | | | | | | | sub-proof #2502.
% 223.10/38.13 | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | Case 2:
% 223.10/38.13 | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | (11254) ~ (all_55_15 = e2)
% 223.10/38.13 | | | | | | | | | | | | | | | (11255) all_55_15 = e1 | all_55_15 = e0
% 223.10/38.13 | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | BETA: splitting (11255) gives:
% 223.10/38.13 | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | Case 1:
% 223.10/38.13 | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | (11256) all_55_15 = e1
% 223.10/38.13 | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | REF_CLOSE: (244), (11249), (11256) are inconsistent by
% 223.10/38.13 | | | | | | | | | | | | | | | | sub-proof #2501.
% 223.10/38.13 | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | Case 2:
% 223.10/38.13 | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | (11257) all_55_15 = e0
% 223.10/38.13 | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (11257) imply:
% 223.10/38.13 | | | | | | | | | | | | | | | | (11258) all_4_2 = e0
% 223.10/38.13 | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | SIMP: (11258) implies:
% 223.10/38.13 | | | | | | | | | | | | | | | | (11259) all_4_2 = e0
% 223.10/38.13 | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | REDUCE: (362), (11259) imply:
% 223.10/38.13 | | | | | | | | | | | | | | | | (11260) ~ (all_53_7 = e0)
% 223.10/38.13 | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | REDUCE: (371), (11259) imply:
% 223.10/38.13 | | | | | | | | | | | | | | | | (11261) ~ (all_53_13 = e0)
% 223.10/38.13 | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | REDUCE: (10098), (11259) imply:
% 223.10/38.13 | | | | | | | | | | | | | | | | (11262) ~ (e3 = e0)
% 223.10/38.13 | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | REDUCE: (373), (11259) imply:
% 223.10/38.13 | | | | | | | | | | | | | | | | (11263) ~ (e2 = e0)
% 223.10/38.13 | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | REDUCE: (11249), (11259) imply:
% 223.10/38.13 | | | | | | | | | | | | | | | | (11264) ~ (e1 = e0)
% 223.10/38.13 | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | REDUCE: (36), (11259) imply:
% 223.10/38.13 | | | | | | | | | | | | | | | | (11265) op(e0, e0) = e0
% 223.10/38.13 | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 223.10/38.13 | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.13 | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | (11266) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 223.10/38.13 | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 223.10/38.13 | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (168), (10094), (11237), (11266),
% 223.10/38.13 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.13 | | | | | | | | | | | | | | | | | #214.
% 223.10/38.13 | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.13 | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | (11267) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 223.10/38.13 | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 223.10/38.13 | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | BETA: splitting (11267) gives:
% 223.10/38.13 | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.13 | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | (11268) all_57_5 = e0 & op(e2, e1) = e0
% 223.10/38.13 | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | ALPHA: (11268) implies:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | (11269) op(e2, e1) = e0
% 223.10/38.13 | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 223.10/38.13 | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | (11270) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 223.10/38.13 | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (171), (10094), (11239), (11270),
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | #213.
% 223.10/38.13 | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | (11271) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 223.10/38.13 | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | BETA: splitting (11271) gives:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | (11272) all_57_7 = e0 & op(e1, e2) = e0
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | ALPHA: (11272) implies:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | (11273) op(e1, e2) = e0
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_6, e0,
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (163), (11273) gives:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | (11274) all_53_6 = e0
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_9, e0,
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (166), (11269) gives:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | (11275) all_53_9 = e0
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (11275) imply:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | (11276) ~ (all_53_11 = e0)
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | SIMP: (11276) implies:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | (11277) ~ (all_53_11 = e0)
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (11275) imply:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | (11278) ~ (all_6_2 = e0)
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | (11279) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (11245), (11265), (11269), (11279),
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | #1938.
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | (11280) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11280) gives:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | (11281) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11281) implies:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | (11282) op(e1, e2) = all_52_19
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | (11283) op(all_52_19, all_52_19) = e2
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11265), (11273), (11282), (11283),
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | #2158.
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | (11284) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11284) implies:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | (11285) op(e0, e1) = all_52_29
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | (11286) op(all_52_29, all_52_29) = e1
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_11,
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | all_52_29, e1, e0, simplifying with (158), (11285)
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | gives:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | (11287) all_53_11 = all_52_29
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (11287) imply:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | (11288) all_55_14 = all_52_29
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (11287) imply:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | (11289) ~ (all_53_8 = all_52_29)
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (11287) imply:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | (11290) ~ (all_52_29 = all_6_2)
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11277), (11287) imply:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | (11291) ~ (all_52_29 = e0)
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | (11292) ~ (all_38_2 = e2)
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (249), (11292) imply:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | (11293) ~ (all_6_2 = e2)
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | (11294) all_55_10 = e3
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.13 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (374), (11294) are inconsistent by
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2500.
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | (11295) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11295) gives:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11296) all_55_10 = e2
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (11293), (11296) are inconsistent by
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2499.
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11297) all_55_10 = e1 | all_55_10 = e0
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11297) gives:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (11298) all_55_10 = e1
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (11298) imply:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (11299) all_6_2 = e1
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11299) implies:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (11300) all_6_2 = e1
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (11300) imply:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (11301) ~ (all_53_8 = e1)
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11290), (11300) imply:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (11302) ~ (all_52_29 = e1)
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11303) all_55_2 = e3
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (191), (269), (10095), (11286), (11288), (11289),
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11291), (11301), (11302), (11303),
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | #212.
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11304) all_55_2 = e2 | all_55_2 = e1 | all_55_2 = e0
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11304) gives:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11305) all_55_2 = e2
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (11305) imply:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11306) all_53_8 = e2
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11306) implies:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11307) all_53_8 = e2
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11289), (11307) imply:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11308) ~ (all_52_29 = e2)
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (191), (11245), (11285), (11286), (11288),
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11291), (11302), (11308), (function-axioms) are
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1191.
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11309) all_55_2 = e1 | all_55_2 = e0
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (11240), (11301), (11309) are inconsistent
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2030.
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (11310) all_55_10 = e0
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (11247), (11310) are inconsistent by
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2118.
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | (11311) all_38_2 = e2
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | (11312) ( ~ (all_38_0 = e0) & op(all_38_1, e1) = all_38_0
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_38_1 & $i(all_38_0) &
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)) | ( ~ (all_38_1 = e3) & op(e1, e2)
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | = all_38_1 & $i(all_38_1))
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (11311) imply:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | (11313) all_6_2 = e2
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11313) implies:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | (11314) all_6_2 = e2
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (332), (11314) imply:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | (11315) all_42_2 = e2
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11290), (11314) imply:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | (11316) ~ (all_52_29 = e2)
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (11314) imply:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | (11317) op(e1, e1) = e2
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | (11318) ~ (all_42_2 = e2)
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11315), (11318) imply:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | (11319) $false
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11319) is inconsistent.
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | (11320) ( ~ (all_42_0 = e3) & op(all_42_1, e1) = all_42_0
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_42_1 & $i(all_42_0) &
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)) | ( ~ (all_42_1 = e0) & op(e1, e2)
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11312) gives:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11321) ~ (all_38_0 = e0) & op(all_38_1, e1) = all_38_0 &
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_38_1 & $i(all_38_0) &
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11321) implies:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11322) op(e1, e2) = all_38_1
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (191), (11273), (11285), (11286), (11288),
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11291), (11316), (11317), (11320), (11322),
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | #210.
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11323) ~ (all_38_1 = e3) & op(e1, e2) = all_38_1 &
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11323) implies:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11324) op(e1, e2) = all_38_1
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (191), (11273), (11285), (11286), (11288),
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11291), (11316), (11317), (11320), (11324),
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | #210.
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | (11325) all_57_13 = e0 & op(e0, e2) = e0
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | ALPHA: (11325) implies:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | (11326) op(e0, e2) = e0
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (11260), (11326), (function-axioms) are
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2332.
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.14 | | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | End of split
% 223.10/38.14 | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | Case 2:
% 223.10/38.14 | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | (11327) all_57_10 = e0 & op(e2, e0) = e0
% 223.10/38.14 | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | ALPHA: (11327) implies:
% 223.10/38.14 | | | | | | | | | | | | | | | | | | (11328) op(e2, e0) = e0
% 223.10/38.14 | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (11261), (11328), (function-axioms) are
% 223.10/38.14 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2470.
% 223.10/38.14 | | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | | End of split
% 223.10/38.14 | | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | | End of split
% 223.10/38.14 | | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | | End of split
% 223.10/38.14 | | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | | End of split
% 223.10/38.14 | | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | End of split
% 223.10/38.14 | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | Case 2:
% 223.10/38.14 | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | (11329) all_30_2 = e1
% 223.10/38.14 | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | COMBINE_EQS: (330), (11329) imply:
% 223.10/38.14 | | | | | | | | | | | | | (11330) all_4_2 = e1
% 223.10/38.14 | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | SIMP: (11330) implies:
% 223.10/38.14 | | | | | | | | | | | | | (11331) all_4_2 = e1
% 223.10/38.14 | | | | | | | | | | | | |
% 223.10/38.14 | | | | | | | | | | | | | COMBINE_EQS: (295), (11331) imply:
% 223.54/38.14 | | | | | | | | | | | | | (11332) all_40_2 = e1
% 223.54/38.14 | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | REDUCE: (370), (11331) imply:
% 223.54/38.14 | | | | | | | | | | | | | (11333) ~ (all_53_12 = e1)
% 223.54/38.14 | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | REDUCE: (371), (11331) imply:
% 223.54/38.14 | | | | | | | | | | | | | (11334) ~ (all_53_13 = e1)
% 223.54/38.14 | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | REDUCE: (10098), (11331) imply:
% 223.54/38.14 | | | | | | | | | | | | | (11335) ~ (e3 = e1)
% 223.54/38.14 | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | REDUCE: (36), (11331) imply:
% 223.54/38.14 | | | | | | | | | | | | | (11336) op(e0, e0) = e1
% 223.54/38.14 | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | BETA: splitting (107) gives:
% 223.54/38.14 | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | Case 1:
% 223.54/38.14 | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | (11337) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.54/38.14 | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.54/38.14 | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.54/38.14 | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.54/38.14 | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.54/38.14 | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.54/38.14 | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.54/38.14 | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 223.54/38.14 | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 223.54/38.14 | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 223.54/38.14 | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 223.54/38.14 | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 223.54/38.14 | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 223.54/38.14 | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 223.54/38.14 | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 223.54/38.14 | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | BETA: splitting (11337) gives:
% 223.54/38.14 | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | Case 1:
% 223.54/38.14 | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | (11338) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.54/38.14 | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.54/38.14 | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.54/38.14 | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.54/38.14 | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.54/38.14 | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.54/38.14 | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.54/38.14 | | | | | | | | | | | | | | | $i(all_52_7)
% 223.54/38.14 | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | ALPHA: (11338) implies:
% 223.54/38.14 | | | | | | | | | | | | | | | (11339) op(e3, e3) = all_52_1
% 223.54/38.14 | | | | | | | | | | | | | | | (11340) op(all_52_1, all_52_1) = e3
% 223.54/38.14 | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_52_1,
% 223.54/38.14 | | | | | | | | | | | | | | | e3, e3, simplifying with (11245), (11339) gives:
% 223.54/38.14 | | | | | | | | | | | | | | | (11341) all_52_1 = e0
% 223.54/38.14 | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | REDUCE: (11340), (11341) imply:
% 223.54/38.14 | | | | | | | | | | | | | | | (11342) op(e0, e0) = e3
% 223.54/38.14 | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | REF_CLOSE: (8), (11336), (11342), (function-axioms) are
% 223.54/38.14 | | | | | | | | | | | | | | | inconsistent by sub-proof #2183.
% 223.54/38.14 | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | Case 2:
% 223.54/38.14 | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | (11343) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 223.54/38.14 | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 223.54/38.14 | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 223.54/38.14 | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 223.54/38.14 | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 223.54/38.14 | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 223.54/38.14 | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 223.54/38.14 | | | | | | | | | | | | | | | $i(all_52_15)
% 223.54/38.14 | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | REF_CLOSE: (5), (10095), (11245), (11343), (function-axioms)
% 223.54/38.14 | | | | | | | | | | | | | | | are inconsistent by sub-proof #209.
% 223.54/38.14 | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | End of split
% 223.54/38.14 | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | Case 2:
% 223.54/38.14 | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | (11344) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 223.54/38.14 | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 223.54/38.14 | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.54/38.14 | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 223.54/38.14 | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 223.54/38.14 | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 223.54/38.14 | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 223.54/38.14 | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 223.54/38.14 | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 223.54/38.14 | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 223.54/38.14 | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.54/38.14 | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 223.54/38.14 | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 223.54/38.14 | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 223.54/38.14 | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 223.54/38.14 | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 223.54/38.14 | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | BETA: splitting (11344) gives:
% 223.54/38.14 | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | Case 1:
% 223.54/38.14 | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | (11345) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 223.54/38.14 | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 223.54/38.14 | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.54/38.14 | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 223.54/38.14 | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 223.54/38.14 | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 223.54/38.14 | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 223.54/38.14 | | | | | | | | | | | | | | | $i(all_52_23)
% 223.54/38.14 | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | ALPHA: (11345) implies:
% 223.54/38.14 | | | | | | | | | | | | | | | (11346) op(e1, e0) = all_52_23
% 223.54/38.14 | | | | | | | | | | | | | | | (11347) op(e1, e1) = all_52_21
% 223.54/38.14 | | | | | | | | | | | | | | | (11348) op(e1, e2) = all_52_19
% 223.54/38.14 | | | | | | | | | | | | | | | (11349) op(all_52_23, all_52_23) = e0
% 223.54/38.14 | | | | | | | | | | | | | | | (11350) op(all_52_21, all_52_21) = e1
% 223.54/38.14 | | | | | | | | | | | | | | | (11351) op(all_52_19, all_52_19) = e2
% 223.54/38.14 | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_14,
% 223.54/38.14 | | | | | | | | | | | | | | | all_52_23, e0, e1, simplifying with (161), (11346)
% 223.54/38.14 | | | | | | | | | | | | | | | gives:
% 223.54/38.14 | | | | | | | | | | | | | | | (11352) all_53_14 = all_52_23
% 223.54/38.14 | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 223.54/38.14 | | | | | | | | | | | | | | | all_52_21, e1, e1, simplifying with (39), (11347)
% 223.54/38.14 | | | | | | | | | | | | | | | gives:
% 223.54/38.14 | | | | | | | | | | | | | | | (11353) all_52_21 = all_6_2
% 223.54/38.14 | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_6,
% 223.54/38.14 | | | | | | | | | | | | | | | all_52_19, e2, e1, simplifying with (163), (11348)
% 223.54/38.14 | | | | | | | | | | | | | | | gives:
% 223.54/38.14 | | | | | | | | | | | | | | | (11354) all_53_6 = all_52_19
% 223.54/38.14 | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | COMBINE_EQS: (256), (11354) imply:
% 223.54/38.14 | | | | | | | | | | | | | | | (11355) all_55_9 = all_52_19
% 223.54/38.14 | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | REDUCE: (137), (11354) imply:
% 223.54/38.14 | | | | | | | | | | | | | | | (11356) ~ (all_53_4 = all_52_19)
% 223.54/38.14 | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | REDUCE: (10087), (11354) imply:
% 223.54/38.14 | | | | | | | | | | | | | | | (11357) ~ (all_52_19 = e3)
% 223.54/38.14 | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | REDUCE: (11350), (11353) imply:
% 223.54/38.14 | | | | | | | | | | | | | | | (11358) op(all_6_2, all_6_2) = e1
% 223.54/38.14 | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 223.54/38.14 | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | Case 1:
% 223.54/38.14 | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | (11359) ~ (all_40_2 = e1)
% 223.54/38.14 | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | REDUCE: (11332), (11359) imply:
% 223.54/38.14 | | | | | | | | | | | | | | | | (11360) $false
% 223.54/38.14 | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | CLOSE: (11360) is inconsistent.
% 223.54/38.14 | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | Case 2:
% 223.54/38.14 | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | (11361) ( ~ (all_40_0 = e3) & op(all_40_1, e0) = all_40_0
% 223.54/38.14 | | | | | | | | | | | | | | | | & op(e0, e1) = all_40_1 & $i(all_40_0) &
% 223.54/38.14 | | | | | | | | | | | | | | | | $i(all_40_1)) | ( ~ (all_40_1 = e2) & op(e0, e1)
% 223.54/38.14 | | | | | | | | | | | | | | | | = all_40_1 & $i(all_40_1))
% 223.54/38.14 | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 223.54/38.14 | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.14 | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | (11362) ~ (all_38_2 = e2)
% 223.54/38.14 | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | REDUCE: (249), (11362) imply:
% 223.54/38.14 | | | | | | | | | | | | | | | | | (11363) ~ (all_6_2 = e2)
% 223.54/38.14 | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 223.54/38.14 | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.14 | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | (11364) all_55_10 = e3
% 223.54/38.14 | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (374), (11364) are inconsistent by
% 223.54/38.14 | | | | | | | | | | | | | | | | | | sub-proof #2500.
% 223.54/38.14 | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.14 | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | (11365) ~ (all_55_10 = e3)
% 223.54/38.14 | | | | | | | | | | | | | | | | | | (11366) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 223.54/38.14 | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | BETA: splitting (11366) gives:
% 223.54/38.14 | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | (11367) all_55_10 = e2
% 223.54/38.14 | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (11363), (11367) are inconsistent by
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | sub-proof #2499.
% 223.54/38.14 | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | (11368) ~ (all_55_10 = e2)
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | (11369) all_55_10 = e1 | all_55_10 = e0
% 223.54/38.14 | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | BETA: splitting (11369) gives:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | (11370) all_55_10 = e1
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (11370) imply:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | (11371) all_6_2 = e1
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | SIMP: (11371) implies:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | (11372) all_6_2 = e1
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (11372) imply:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | (11373) ~ (all_53_9 = e1)
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | REDUCE: (11363), (11372) imply:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | (11374) ~ (e2 = e1)
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (11372) imply:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | (11375) op(e1, e1) = e1
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | (11376) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11376) gives:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | (11377) all_57_2 = e1 & op(e2, e3) = e1
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11377) implies:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | (11378) all_57_2 = e1
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | (11379) op(e2, e3) = e1
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | (11380) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11380) gives:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | (11381) all_57_1 = e1 & op(e3, e2) = e1
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11381) implies:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | (11382) op(e3, e2) = e1
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_1, e1,
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (168), (11379) gives:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | (11383) all_53_1 = e1
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_4, e1,
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (171), (11382) gives:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | (11384) all_53_4 = e1
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11356), (11384) imply:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | (11385) ~ (all_52_19 = e1)
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11385) implies:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | (11386) ~ (all_52_19 = e1)
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11387) ~ (all_44_2 = e3)
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10084), (11387) imply:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11388) $false
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11388) is inconsistent.
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11389) ( ~ (all_44_0 = e1) & op(all_44_1, e2) = all_44_0
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_44_1 & $i(all_44_0) &
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_44_1)) | ( ~ (all_44_1 = e0) & op(e2, e3)
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | = all_44_1 & $i(all_44_1))
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (196), (10083), (10095), (11348), (11351),
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11355), (11357), (11379), (11386), (11389),
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | #208.
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | (11390) all_57_3 = e1 & op(e2, e2) = e1
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11390) implies:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | (11391) op(e2, e2) = e1
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10095), (11391), (function-axioms) are
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1912.
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | (11392) (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_13 =
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11392) gives:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | (11393) all_57_7 = e1 & op(e1, e2) = e1
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11393) implies:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | (11394) all_57_7 = e1
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | (11395) op(e1, e2) = e1
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11396) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (171), (10094), (11239), (11396),
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | #213.
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11397) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11397) gives:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (11398) all_57_7 = e0 & op(e1, e2) = e0
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11394), (11398) are inconsistent by
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #509.
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (11399) all_57_13 = e0 & op(e0, e2) = e0
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11399) implies:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (11400) all_57_13 = e0
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11401) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11401) gives:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11402) all_57_0 = e1 & op(e3, e3) = e1
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11244), (11402) are inconsistent by
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2454.
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11403) all_57_1 = e1 & op(e3, e2) = e1
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11403) implies:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11404) all_57_1 = e1
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11405) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 223.54/38.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11405) gives:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11406) all_57_6 = e0 & op(e1, e3) = e0
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11406) implies:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11407) all_57_6 = e0
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (234), (236), (11245),
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11378), (11407), (function-axioms) are
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2390.
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11408) all_57_7 = e0 & op(e1, e2) = e0
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11394), (11408) are inconsistent by
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #509.
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11409) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11409) gives:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11410) all_57_8 = e0 & op(e1, e1) = e0
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11410) implies:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11411) op(e1, e1) = e0
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (163), (11347), (11348), (11351), (11395),
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11411), (function-axioms) are inconsistent by
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #332.
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11412) all_57_11 = e0 & op(e1, e0) = e0
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11412) implies:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11413) all_57_11 = e0
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11414) op(e1, e0) = e0
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11415) (all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 =
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11415) gives:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11416) all_57_9 = e3 & op(e3, e0) = e3
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11416) implies:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11417) op(e3, e0) = e3
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11418) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (11245), (11404), (11418),
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #207.
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11419) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11419) gives:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11420) all_57_4 = e2 & op(e3, e1) = e2
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11420) implies:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11421) all_57_4 = e2
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11422) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11422) gives:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11423) all_57_6 = e3 & op(e1, e3) = e3
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11423) implies:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11424) all_57_6 = e3
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11425) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_2 = e2
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11425) gives:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11426) all_57_0 = e2 & op(e3, e3) = e2
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11426) implies:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11427) op(e3, e3) = e2
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (171), (231), (233),
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (11239), (11421), (11427),
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1320.
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11428) all_57_2 = e2 & op(e2, e3) = e2
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (220),
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (374), (11247), (11375), (11378), (11421),
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11428), (function-axioms) are inconsistent by
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #265.
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11429) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_12 =
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11429) gives:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11430) all_57_6 = e2 & op(e1, e3) = e2
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11430) implies:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11431) all_57_6 = e2
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (214), (217),
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (11247), (11394), (11431),
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #342.
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11432) all_57_12 = e2 & op(e0, e3) = e2
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11432) implies:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11433) all_57_12 = e2
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11434) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11434) gives:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11435) all_57_4 = e0 & op(e3, e1) = e0
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11435) implies:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11436) op(e3, e1) = e0
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (11240), (11436), (function-axioms) are
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11437) all_57_5 = e0 & op(e2, e1) = e0
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11437) implies:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11438) all_57_5 = e0
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11439) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11439) gives:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11440) all_57_1 = e2 & op(e3, e2) = e2
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11440) implies:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11441) all_57_1 = e2
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11404), (11441) imply:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11442) e2 = e1
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11442) implies:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11443) e2 = e1
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11421), (11443) imply:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11444) all_57_4 = e1
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (220),
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (374), (11247), (11375), (11444),
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2407.
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11445) all_57_3 = e2 & op(e2, e2) = e2
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11445) implies:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11446) op(e2, e2) = e2
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (165), (168), (225), (10085), (10090),
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11438), (11446), (function-axioms) are
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2129.
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11447) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11447) gives:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11448) all_57_7 = e2 & op(e1, e2) = e2
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11448) implies:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11449) all_57_7 = e2
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11394), (11449) imply:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11450) e2 = e1
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11450) implies:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11451) e2 = e1
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11421), (11451) imply:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11452) all_57_4 = e1
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (220),
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (374), (11247), (11375), (11452),
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2407.
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11453) all_57_13 = e2 & op(e0, e2) = e2
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11453) implies:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11454) all_57_13 = e2
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11400), (11454) imply:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11455) e2 = e0
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11433), (11455) imply:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11456) all_57_12 = e0
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (11244), (11378), (11424),
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11456) are inconsistent by sub-proof #1426.
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11457) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11457) gives:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11458) all_57_8 = e0 & op(e1, e1) = e0
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11458) implies:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11459) op(e1, e1) = e0
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (163), (11347), (11348), (11351), (11395),
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11459), (function-axioms) are inconsistent by
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #332.
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11460) all_57_14 = e0 & op(e0, e1) = e0
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11460) implies:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11461) op(e0, e1) = e0
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11336), (11346), (11349), (11361), (11414),
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11461), (function-axioms) are inconsistent by
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1227.
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11462) all_57_7 = e3 & op(e1, e2) = e3
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (10087), (11462), (function-axioms) are
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #267.
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11463) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11463) gives:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11464) all_57_8 = e3 & op(e1, e1) = e3
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11464) implies:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11465) op(e1, e1) = e3
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (11465), (function-axioms) are
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11466) all_57_11 = e3 & op(e1, e0) = e3
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11466) implies:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11467) all_57_11 = e3
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11468) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11468) gives:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11469) all_57_9 = e2 & op(e3, e0) = e2
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11417), (11469), (function-axioms) are
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #306.
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11470) all_57_10 = e2 & op(e2, e0) = e2
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11470) implies:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11471) all_57_10 = e2
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11472) all_57_15 = e0 & op(e0, e0) = e0
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11472) implies:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11473) op(e0, e0) = e0
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11336), (11473), (function-axioms) are
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2290.
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11474) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11474) implies:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11475) (all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 & op(e1,
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11475) gives:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11476) all_57_9 = e0 & op(e3, e0) = e0
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11476) implies:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11477) op(e3, e0) = e0
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11417), (11477), (function-axioms) are
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #313.
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11478) (all_57_10 = e0 & op(e2, e0) = e0) | (all_57_11 =
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11478) gives:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11479) all_57_10 = e0 & op(e2, e0) = e0
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11471), (11479) are inconsistent by
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1751.
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11413), (11467) are inconsistent by
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1595.
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11480) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (11336), (11467), (11480),
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1956.
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11481) all_57_9 = e2 & op(e3, e0) = e2
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11417), (11481), (function-axioms) are
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #306.
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11482) all_57_10 = e3 & op(e2, e0) = e3
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11482) implies:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11483) op(e2, e0) = e3
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10090), (11483), (function-axioms) are
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2301.
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11484) (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 =
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11484) gives:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11485) all_57_11 = e3 & op(e1, e0) = e3
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11485) implies:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11486) all_57_11 = e3
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11413), (11486) are inconsistent by
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1595.
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11487) all_57_15 = e3 & op(e0, e0) = e3
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11487) implies:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11488) all_57_15 = e3
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (214), (216), (217), (374), (11375),
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11394), (11488), (function-axioms) are
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1069.
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11489) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (218),
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (374), (11247), (11333), (11375),
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11489), (function-axioms) are inconsistent by
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2085.
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | (11490) all_57_13 = e1 & op(e0, e2) = e1
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11490) implies:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | (11491) all_57_13 = e1
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (207), (209),
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | (210), (11238), (11336), (11491),
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | | #1918.
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | (11492) all_57_3 = e1 & op(e2, e2) = e1
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11492) implies:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | (11493) op(e2, e2) = e1
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10095), (11493), (function-axioms) are
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1912.
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | (11494) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11494) gives:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | (11495) all_57_5 = e1 & op(e2, e1) = e1
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (11373), (11495), (function-axioms) are
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2305.
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | (11496) all_57_10 = e1 & op(e2, e0) = e1
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (11334), (11496), (function-axioms) are
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2084.
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | (11497) all_55_10 = e0
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (11247), (11497) are inconsistent by
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | | sub-proof #2118.
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | (11498) all_38_2 = e2
% 223.54/38.15 | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (249), (10095), (11358), (11498),
% 223.54/38.15 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.15 | | | | | | | | | | | | | | | | | #206.
% 223.54/38.15 | | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | (11499) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 223.54/38.15 | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 223.54/38.15 | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.54/38.15 | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 223.54/38.15 | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 223.54/38.15 | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 223.54/38.15 | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 223.54/38.15 | | | | | | | | | | | | | | | $i(all_52_31)
% 223.54/38.15 | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | ALPHA: (11499) implies:
% 223.54/38.15 | | | | | | | | | | | | | | | (11500) op(e0, e0) = all_52_31
% 223.54/38.15 | | | | | | | | | | | | | | | (11501) op(all_52_31, all_52_31) = e0
% 223.54/38.15 | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | | REF_CLOSE: (39), (11247), (11336), (11500), (11501),
% 223.54/38.15 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.15 | | | | | | | | | | | | | | | #2086.
% 223.54/38.15 | | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | End of split
% 223.54/38.15 | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | (11502) all_24_2 = e0
% 223.54/38.15 | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | COMBINE_EQS: (315), (11502) imply:
% 223.54/38.15 | | | | | | | | | | | | (11503) all_6_2 = e0
% 223.54/38.15 | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | SIMP: (11503) implies:
% 223.54/38.15 | | | | | | | | | | | | (11504) all_6_2 = e0
% 223.54/38.15 | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | REDUCE: (361), (11504) imply:
% 223.54/38.15 | | | | | | | | | | | | (11505) ~ (all_53_6 = e0)
% 223.54/38.15 | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | REDUCE: (364), (11504) imply:
% 223.54/38.15 | | | | | | | | | | | | (11506) ~ (all_53_9 = e0)
% 223.54/38.15 | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | REDUCE: (374), (11504) imply:
% 223.54/38.15 | | | | | | | | | | | | (11507) ~ (e3 = e0)
% 223.54/38.15 | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | REDUCE: (39), (11504) imply:
% 223.54/38.15 | | | | | | | | | | | | (11508) op(e1, e1) = e0
% 223.54/38.15 | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | BETA: splitting (226) gives:
% 223.54/38.15 | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | Case 1:
% 223.54/38.15 | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | (11509) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 223.54/38.15 | | | | | | | | | | | | | & op(e2, e2) = e0)
% 223.54/38.15 | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | REF_CLOSE: (7), (171), (10094), (11239), (11509),
% 223.54/38.15 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.15 | | | | | | | | | | | | | #213.
% 223.54/38.15 | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | (11510) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 223.54/38.15 | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 223.54/38.15 | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | BETA: splitting (11510) gives:
% 223.54/38.15 | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | Case 1:
% 223.54/38.15 | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | (11511) all_57_7 = e0 & op(e1, e2) = e0
% 223.54/38.15 | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | REF_CLOSE: (163), (11505), (11511), (function-axioms) are
% 223.54/38.15 | | | | | | | | | | | | | | inconsistent by sub-proof #2039.
% 223.54/38.15 | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | Case 2:
% 223.54/38.15 | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | (11512) all_57_13 = e0 & op(e0, e2) = e0
% 223.54/38.15 | | | | | | | | | | | | | |
% 223.54/38.15 | | | | | | | | | | | | | | ALPHA: (11512) implies:
% 223.54/38.15 | | | | | | | | | | | | | | (11513) op(e0, e2) = e0
% 223.54/38.15 | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 223.54/38.16 | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | Case 1:
% 223.54/38.16 | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | (11514) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 223.54/38.16 | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 223.54/38.16 | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | REF_CLOSE: (7), (168), (10094), (11237), (11514),
% 223.54/38.16 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.16 | | | | | | | | | | | | | | | #214.
% 223.54/38.16 | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | Case 2:
% 223.54/38.16 | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | (11515) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 223.54/38.16 | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 223.54/38.16 | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | BETA: splitting (11515) gives:
% 223.54/38.16 | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | Case 1:
% 223.54/38.16 | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | (11516) all_57_5 = e0 & op(e2, e1) = e0
% 223.54/38.16 | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | REF_CLOSE: (166), (11506), (11516), (function-axioms) are
% 223.54/38.16 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2023.
% 223.54/38.16 | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | Case 2:
% 223.54/38.16 | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | (11517) all_57_10 = e0 & op(e2, e0) = e0
% 223.54/38.16 | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | ALPHA: (11517) implies:
% 223.54/38.16 | | | | | | | | | | | | | | | | (11518) all_57_10 = e0
% 223.54/38.16 | | | | | | | | | | | | | | | | (11519) op(e2, e0) = e0
% 223.54/38.16 | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_7, e0,
% 223.54/38.16 | | | | | | | | | | | | | | | | e2, e0, simplifying with (159), (11513) gives:
% 223.54/38.16 | | | | | | | | | | | | | | | | (11520) all_53_7 = e0
% 223.54/38.16 | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_13,
% 223.54/38.16 | | | | | | | | | | | | | | | | e0, e0, e2, simplifying with (165), (11519) gives:
% 223.54/38.16 | | | | | | | | | | | | | | | | (11521) all_53_13 = e0
% 223.54/38.16 | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | REDUCE: (371), (11521) imply:
% 223.54/38.16 | | | | | | | | | | | | | | | | (11522) ~ (all_4_2 = e0)
% 223.54/38.16 | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | SIMP: (11522) implies:
% 223.54/38.16 | | | | | | | | | | | | | | | | (11523) ~ (all_4_2 = e0)
% 223.54/38.16 | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 223.54/38.16 | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.16 | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | (11524) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.54/38.16 | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.54/38.16 | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.54/38.16 | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.54/38.16 | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.54/38.16 | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.54/38.16 | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.54/38.16 | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 223.54/38.16 | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 223.54/38.16 | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 223.54/38.16 | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 223.54/38.16 | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 223.54/38.16 | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 223.54/38.16 | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 223.54/38.16 | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 223.54/38.16 | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | BETA: splitting (11524) gives:
% 223.54/38.16 | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.16 | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | (11525) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.54/38.16 | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.54/38.16 | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.54/38.16 | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.54/38.16 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.54/38.16 | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.54/38.16 | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.54/38.16 | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 223.54/38.16 | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | ALPHA: (11525) implies:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | (11526) op(e3, e3) = all_52_1
% 223.54/38.16 | | | | | | | | | | | | | | | | | | (11527) op(all_52_1, all_52_1) = e3
% 223.54/38.16 | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 223.54/38.16 | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | (11528) all_55_15 = e3
% 223.54/38.16 | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (10098), (11528) are inconsistent by
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | sub-proof #2503.
% 223.54/38.16 | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | (11529) ~ (all_55_15 = e3)
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | (11530) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 223.54/38.16 | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | BETA: splitting (11530) gives:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | (11531) all_55_15 = e2
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (11531) are inconsistent by
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | sub-proof #2502.
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | (11532) all_55_15 = e1 | all_55_15 = e0
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11532) gives:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | (11533) all_55_15 = e1
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (11533) imply:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | (11534) all_4_2 = e1
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | SIMP: (11534) implies:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | (11535) all_4_2 = e1
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (11535) imply:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | (11536) ~ (all_53_12 = e1)
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (11535) imply:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | (11537) ~ (all_53_14 = e1)
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10098), (11535) imply:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | (11538) ~ (e3 = e1)
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (161), (169), (211), (11245), (11518),
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | (11526), (11527), (11536), (11537),
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | #217.
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | (11539) all_55_15 = e0
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (11523), (11539) are inconsistent by
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | sub-proof #1884.
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.16 | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.16 | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.16 | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | (11540) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 223.54/38.16 | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 223.54/38.16 | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 223.54/38.16 | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 223.54/38.16 | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 223.54/38.16 | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 223.54/38.16 | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 223.54/38.16 | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 223.54/38.16 | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | ALPHA: (11540) implies:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | (11541) op(e2, e0) = all_52_15
% 223.54/38.16 | | | | | | | | | | | | | | | | | | (11542) op(all_52_15, all_52_15) = e0
% 223.54/38.16 | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 223.54/38.16 | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | (11543) all_55_15 = e3
% 223.54/38.16 | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (10098), (11543) are inconsistent by
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | sub-proof #2503.
% 223.54/38.16 | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | (11544) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 223.54/38.16 | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | BETA: splitting (11544) gives:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | (11545) all_55_15 = e2
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (11545) are inconsistent by
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | sub-proof #2502.
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | (11546) all_55_15 = e1 | all_55_15 = e0
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11546) gives:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | (11547) all_55_15 = e1
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (11547) imply:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | (11548) all_4_2 = e1
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | SIMP: (11548) implies:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | (11549) all_4_2 = e1
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (11549) imply:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | (11550) ~ (all_53_12 = e1)
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (11549) imply:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | (11551) ~ (all_53_14 = e1)
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (161), (169), (211), (11518), (11519),
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | (11541), (11542), (11550), (11551),
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | #216.
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | (11552) all_55_15 = e0
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (11523), (11552) are inconsistent by
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | sub-proof #1884.
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.16 | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.16 | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | End of split
% 223.54/38.16 | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.16 | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | (11553) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 223.54/38.16 | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 223.54/38.16 | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.54/38.16 | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 223.54/38.16 | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 223.54/38.16 | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 223.54/38.16 | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 223.54/38.16 | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 223.54/38.16 | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 223.54/38.16 | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 223.54/38.16 | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.54/38.16 | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 223.54/38.16 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 223.54/38.16 | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 223.54/38.16 | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 223.54/38.16 | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 223.54/38.16 | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | BETA: splitting (11553) gives:
% 223.54/38.16 | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.16 | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | (11554) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 223.54/38.16 | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 223.54/38.16 | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.54/38.16 | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 223.54/38.16 | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 223.54/38.16 | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 223.54/38.16 | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 223.54/38.16 | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 223.54/38.16 | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | ALPHA: (11554) implies:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | (11555) op(e1, e1) = all_52_21
% 223.54/38.16 | | | | | | | | | | | | | | | | | | (11556) op(e1, e2) = all_52_19
% 223.54/38.16 | | | | | | | | | | | | | | | | | | (11557) op(e1, e3) = all_52_17
% 223.54/38.16 | | | | | | | | | | | | | | | | | | (11558) op(all_52_19, all_52_19) = e2
% 223.54/38.16 | | | | | | | | | | | | | | | | | | (11559) op(all_52_17, all_52_17) = e3
% 223.54/38.16 | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 223.54/38.16 | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | (11560) all_55_15 = e3
% 223.54/38.16 | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (10098), (11560) are inconsistent by
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | sub-proof #2503.
% 223.54/38.16 | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | (11561) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 223.54/38.16 | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | BETA: splitting (11561) gives:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | (11562) all_55_15 = e2
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (11562) are inconsistent by
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | sub-proof #2502.
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | (11563) all_55_15 = e1 | all_55_15 = e0
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11563) gives:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | (11564) all_55_15 = e1
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (11564) imply:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | (11565) all_4_2 = e1
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | SIMP: (11565) implies:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | (11566) all_4_2 = e1
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (11566) imply:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | (11567) ~ (all_53_14 = e1)
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | (11568) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11568) gives:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | | (11569) all_57_6 = e1 & op(e1, e3) = e1
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11569) implies:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | | (11570) op(e1, e3) = e1
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (195), (336), (374), (11557), (11559),
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | | (11570), (function-axioms) are inconsistent by
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1998.
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | | (11571) all_57_7 = e1 & op(e1, e2) = e1
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11571) implies:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | | (11572) op(e1, e2) = e1
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (163), (11508), (11555), (11556), (11558),
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | | (11572), (function-axioms) are inconsistent by
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #332.
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | (11573) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (161), (11508), (11567), (11573),
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | #223.
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | (11574) all_55_15 = e0
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (11523), (11574) are inconsistent by
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | sub-proof #1884.
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.16 | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.16 | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.16 | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | (11575) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 223.54/38.16 | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 223.54/38.16 | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.54/38.16 | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 223.54/38.16 | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 223.54/38.16 | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 223.54/38.16 | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 223.54/38.16 | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 223.54/38.16 | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | ALPHA: (11575) implies:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | (11576) op(e0, e0) = all_52_31
% 223.54/38.16 | | | | | | | | | | | | | | | | | | (11577) op(e0, e2) = all_52_27
% 223.54/38.16 | | | | | | | | | | | | | | | | | | (11578) op(all_52_27, all_52_27) = e2
% 223.54/38.16 | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 223.54/38.16 | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | (11579) all_55_15 = e3
% 223.54/38.16 | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (10098), (11579) are inconsistent by
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | sub-proof #2503.
% 223.54/38.16 | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | (11580) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 223.54/38.16 | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | BETA: splitting (11580) gives:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | (11581) all_55_15 = e2
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (11581) are inconsistent by
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | sub-proof #2502.
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | (11582) ~ (all_55_15 = e2)
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | (11583) all_55_15 = e1 | all_55_15 = e0
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11583) gives:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | (11584) all_55_15 = e1
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (11584) imply:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | (11585) all_4_2 = e1
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | SIMP: (11585) implies:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | (11586) all_4_2 = e1
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (11586) imply:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | (11587) ~ (all_53_12 = e1)
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (11586) imply:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | (11588) ~ (all_53_14 = e1)
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (11586) imply:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | (11589) ~ (e2 = e1)
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | (11590) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 =
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (169), (11518), (11587), (11590),
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | #218.
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | (11591) (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 =
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11591) gives:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | | (11592) all_57_11 = e1 & op(e1, e0) = e1
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (11588), (11592), (function-axioms) are
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #305.
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | | (11593) all_57_15 = e1 & op(e0, e0) = e1
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11513), (11576), (11577), (11578), (11593),
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | | #1877.
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | (11594) all_55_15 = e0
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (11523), (11594) are inconsistent by
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | | sub-proof #1884.
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.16 | | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.16 | | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | | End of split
% 223.54/38.16 | | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | | End of split
% 223.54/38.16 | | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | | End of split
% 223.54/38.16 | | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | | End of split
% 223.54/38.16 | | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | | End of split
% 223.54/38.16 | | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | End of split
% 223.54/38.16 | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | End of split
% 223.54/38.16 | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | Case 2:
% 223.54/38.16 | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | (11595) all_57_1 = e0 & op(e3, e2) = e0
% 223.54/38.16 | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | ALPHA: (11595) implies:
% 223.54/38.16 | | | | | | | | | | | (11596) op(e3, e2) = e0
% 223.54/38.16 | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | REF_CLOSE: (171), (11239), (11596), (function-axioms) are
% 223.54/38.16 | | | | | | | | | | | inconsistent by sub-proof #1941.
% 223.54/38.16 | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | End of split
% 223.54/38.16 | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | Case 2:
% 223.54/38.16 | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | (11597) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 223.54/38.16 | | | | | | | | | | & op(e3, e0) = e0)
% 223.54/38.16 | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | REF_CLOSE: (169), (170), (11240), (11241), (11597),
% 223.54/38.16 | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.16 | | | | | | | | | | #1544.
% 223.54/38.16 | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | End of split
% 223.54/38.16 | | | | | | | | |
% 223.54/38.16 | | | | | | | | End of split
% 223.54/38.16 | | | | | | | |
% 223.54/38.16 | | | | | | | Case 2:
% 223.54/38.16 | | | | | | | |
% 223.54/38.16 | | | | | | | | (11598) all_12_2 = e3
% 223.54/38.16 | | | | | | | | (11599) ( ~ (all_12_0 = e2) & op(all_12_1, e0) = all_12_0 &
% 223.54/38.16 | | | | | | | | op(e0, e3) = all_12_1 & $i(all_12_0) &
% 223.54/38.16 | | | | | | | | $i(all_12_1)) | ( ~ (all_12_1 = e1) & op(e0, e3) =
% 223.54/38.16 | | | | | | | | all_12_1 & $i(all_12_1))
% 223.54/38.16 | | | | | | | |
% 223.54/38.16 | | | | | | | | COMBINE_EQS: (325), (11598) imply:
% 223.54/38.16 | | | | | | | | (11600) all_4_2 = e3
% 223.54/38.16 | | | | | | | |
% 223.54/38.16 | | | | | | | | COMBINE_EQS: (318), (11600) imply:
% 223.54/38.16 | | | | | | | | (11601) all_22_2 = e3
% 223.54/38.16 | | | | | | | |
% 223.54/38.16 | | | | | | | | REDUCE: (370), (11600) imply:
% 223.54/38.16 | | | | | | | | (11602) ~ (all_53_12 = e3)
% 223.54/38.16 | | | | | | | |
% 223.54/38.16 | | | | | | | | REDUCE: (372), (11600) imply:
% 223.54/38.16 | | | | | | | | (11603) ~ (all_53_14 = e3)
% 223.54/38.16 | | | | | | | |
% 223.54/38.16 | | | | | | | | BETA: splitting (221) gives:
% 223.54/38.16 | | | | | | | |
% 223.54/38.16 | | | | | | | | Case 1:
% 223.54/38.16 | | | | | | | | |
% 223.54/38.16 | | | | | | | | | (11604) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 223.54/38.16 | | | | | | | | | & op(e2, e1) = e3)
% 223.54/38.16 | | | | | | | | |
% 223.54/38.16 | | | | | | | | | BETA: splitting (11604) gives:
% 223.54/38.16 | | | | | | | | |
% 223.54/38.16 | | | | | | | | | Case 1:
% 223.54/38.16 | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | (11605) all_57_4 = e3 & op(e3, e1) = e3
% 223.54/38.16 | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | ALPHA: (11605) implies:
% 223.54/38.16 | | | | | | | | | | (11606) all_57_4 = e3
% 223.54/38.16 | | | | | | | | | | (11607) op(e3, e1) = e3
% 223.54/38.16 | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | BETA: splitting (217) gives:
% 223.54/38.16 | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | Case 1:
% 223.54/38.16 | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | (11608) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 223.54/38.16 | | | | | | | | | | | & op(e1, e2) = e3)
% 223.54/38.16 | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | BETA: splitting (11608) gives:
% 223.54/38.16 | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | Case 1:
% 223.54/38.16 | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | (11609) all_57_6 = e3 & op(e1, e3) = e3
% 223.54/38.16 | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | ALPHA: (11609) implies:
% 223.54/38.16 | | | | | | | | | | | | (11610) all_57_6 = e3
% 223.54/38.16 | | | | | | | | | | | | (11611) op(e1, e3) = e3
% 223.54/38.16 | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (45),
% 223.54/38.16 | | | | | | | | | | | | (58), (64), (67), (88), (107), (121), (122),
% 223.54/38.16 | | | | | | | | | | | | (135), (141), (142), (145), (150), (158), (159),
% 223.54/38.16 | | | | | | | | | | | | (160), (161), (163), (164), (165), (166), (168),
% 223.54/38.16 | | | | | | | | | | | | (169), (170), (171), (195), (205), (207), (208),
% 223.54/38.16 | | | | | | | | | | | | (209), (210), (211), (212), (213), (214), (215),
% 223.54/38.16 | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (222),
% 223.54/38.16 | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (229),
% 223.54/38.16 | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 223.54/38.16 | | | | | | | | | | | | (237), (249), (277), (315), (327), (336), (338),
% 223.54/38.16 | | | | | | | | | | | | (342), (344), (346), (348), (361), (363), (364),
% 223.54/38.16 | | | | | | | | | | | | (366), (368), (373), (10088), (10090), (10094),
% 223.54/38.16 | | | | | | | | | | | | (10095), (10096), (11599), (11601), (11602),
% 223.54/38.16 | | | | | | | | | | | | (11603), (11606), (11607), (11610), (11611),
% 223.54/38.16 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.16 | | | | | | | | | | | | #187.
% 223.54/38.16 | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | Case 2:
% 223.54/38.16 | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | (11612) all_57_7 = e3 & op(e1, e2) = e3
% 223.54/38.16 | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | | REF_CLOSE: (163), (10087), (11612), (function-axioms) are
% 223.54/38.16 | | | | | | | | | | | | inconsistent by sub-proof #267.
% 223.54/38.16 | | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | End of split
% 223.54/38.16 | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | Case 2:
% 223.54/38.16 | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | (11613) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 223.54/38.16 | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 223.54/38.16 | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | | REF_CLOSE: (39), (161), (374), (11603), (11613),
% 223.54/38.16 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.16 | | | | | | | | | | | #2310.
% 223.54/38.16 | | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | End of split
% 223.54/38.16 | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | Case 2:
% 223.54/38.16 | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | (11614) all_57_5 = e3 & op(e2, e1) = e3
% 223.54/38.16 | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | | REF_CLOSE: (166), (10089), (11614), (function-axioms) are
% 223.54/38.16 | | | | | | | | | | inconsistent by sub-proof #270.
% 223.54/38.16 | | | | | | | | | |
% 223.54/38.16 | | | | | | | | | End of split
% 223.54/38.16 | | | | | | | | |
% 223.54/38.16 | | | | | | | | Case 2:
% 223.54/38.16 | | | | | | | | |
% 223.54/38.16 | | | | | | | | | (11615) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 = e3
% 223.54/38.16 | | | | | | | | | & op(e0, e1) = e3)
% 223.54/38.16 | | | | | | | | |
% 223.54/38.16 | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (161), (165),
% 223.54/38.16 | | | | | | | | | (169), (207), (208), (209), (213), (374), (10090),
% 223.54/38.16 | | | | | | | | | (11602), (11603), (11615), (function-axioms) are
% 223.54/38.16 | | | | | | | | | inconsistent by sub-proof #186.
% 223.54/38.16 | | | | | | | | |
% 223.54/38.16 | | | | | | | | End of split
% 223.54/38.16 | | | | | | | |
% 223.54/38.16 | | | | | | | End of split
% 223.54/38.16 | | | | | | |
% 223.54/38.16 | | | | | | Case 2:
% 223.54/38.16 | | | | | | |
% 223.54/38.16 | | | | | | | (11616) all_10_2 = e1
% 223.54/38.16 | | | | | | |
% 223.54/38.16 | | | | | | | REDUCE: (338), (11616) imply:
% 223.54/38.16 | | | | | | | (11617) ~ (all_53_1 = e1)
% 223.54/38.16 | | | | | | |
% 223.54/38.16 | | | | | | | REDUCE: (340), (11616) imply:
% 223.54/38.16 | | | | | | | (11618) ~ (all_53_2 = e1)
% 223.54/38.16 | | | | | | |
% 223.54/38.16 | | | | | | | REDUCE: (342), (11616) imply:
% 223.54/38.16 | | | | | | | (11619) ~ (all_53_3 = e1)
% 223.54/38.16 | | | | | | |
% 223.54/38.16 | | | | | | | REDUCE: (344), (11616) imply:
% 223.54/38.16 | | | | | | | (11620) ~ (all_53_4 = e1)
% 223.54/38.16 | | | | | | |
% 223.54/38.16 | | | | | | | REDUCE: (346), (11616) imply:
% 223.54/38.16 | | | | | | | (11621) ~ (all_53_8 = e1)
% 223.54/38.16 | | | | | | |
% 223.54/38.16 | | | | | | | BETA: splitting (232) gives:
% 223.54/38.16 | | | | | | |
% 223.54/38.16 | | | | | | | Case 1:
% 223.54/38.16 | | | | | | | |
% 223.54/38.17 | | | | | | | | (11622) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1 &
% 223.54/38.17 | | | | | | | | op(e2, e3) = e1)
% 223.54/38.17 | | | | | | | |
% 223.54/38.17 | | | | | | | | BETA: splitting (11622) gives:
% 223.54/38.17 | | | | | | | |
% 223.54/38.17 | | | | | | | | Case 1:
% 223.54/38.17 | | | | | | | | |
% 223.54/38.17 | | | | | | | | | (11623) all_57_0 = e1 & op(e3, e3) = e1
% 223.54/38.17 | | | | | | | | |
% 223.54/38.17 | | | | | | | | | ALPHA: (11623) implies:
% 223.54/38.17 | | | | | | | | | (11624) all_57_0 = e1
% 223.54/38.17 | | | | | | | | | (11625) op(e3, e3) = e1
% 223.54/38.17 | | | | | | | | |
% 223.54/38.17 | | | | | | | | | BETA: splitting (49) gives:
% 223.54/38.17 | | | | | | | | |
% 223.54/38.17 | | | | | | | | | Case 1:
% 223.54/38.17 | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | (11626) ~ (all_12_2 = e3)
% 223.54/38.17 | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | REDUCE: (325), (11626) imply:
% 223.54/38.17 | | | | | | | | | | (11627) ~ (all_4_2 = e3)
% 223.54/38.17 | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | BETA: splitting (67) gives:
% 223.54/38.17 | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | Case 1:
% 223.54/38.17 | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | (11628) ~ (all_24_2 = e0)
% 223.54/38.17 | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | REDUCE: (315), (11628) imply:
% 223.54/38.17 | | | | | | | | | | | (11629) ~ (all_6_2 = e0)
% 223.54/38.17 | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | BETA: splitting (76) gives:
% 223.54/38.17 | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | Case 1:
% 223.54/38.17 | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | (11630) ~ (all_30_2 = e1)
% 223.54/38.17 | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | REDUCE: (330), (11630) imply:
% 223.54/38.17 | | | | | | | | | | | | (11631) ~ (all_4_2 = e1)
% 223.54/38.17 | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | BETA: splitting (190) gives:
% 223.54/38.17 | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | Case 1:
% 223.54/38.17 | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | (11632) all_55_15 = e3
% 223.54/38.17 | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | REF_CLOSE: (244), (11627), (11632) are inconsistent by
% 223.54/38.17 | | | | | | | | | | | | | sub-proof #2503.
% 223.54/38.17 | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | Case 2:
% 223.54/38.17 | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | (11633) ~ (all_55_15 = e3)
% 223.54/38.17 | | | | | | | | | | | | | (11634) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 223.54/38.17 | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | BETA: splitting (11634) gives:
% 223.54/38.17 | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | Case 1:
% 223.54/38.17 | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | (11635) all_55_15 = e2
% 223.54/38.17 | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (11635) are inconsistent by
% 223.54/38.17 | | | | | | | | | | | | | | sub-proof #2502.
% 223.54/38.17 | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | Case 2:
% 223.54/38.17 | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | (11636) ~ (all_55_15 = e2)
% 223.54/38.17 | | | | | | | | | | | | | | (11637) all_55_15 = e1 | all_55_15 = e0
% 223.54/38.17 | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | BETA: splitting (11637) gives:
% 223.54/38.17 | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | Case 1:
% 223.54/38.17 | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | (11638) all_55_15 = e1
% 223.54/38.17 | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | REF_CLOSE: (244), (11631), (11638) are inconsistent by
% 223.54/38.17 | | | | | | | | | | | | | | | sub-proof #2501.
% 223.54/38.17 | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | Case 2:
% 223.54/38.17 | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | (11639) all_55_15 = e0
% 223.54/38.17 | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | COMBINE_EQS: (244), (11639) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | (11640) all_4_2 = e0
% 223.54/38.17 | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | SIMP: (11640) implies:
% 223.54/38.17 | | | | | | | | | | | | | | | (11641) all_4_2 = e0
% 223.54/38.17 | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | REDUCE: (351), (11641) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | (11642) ~ (all_53_3 = e0)
% 223.54/38.17 | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | REDUCE: (362), (11641) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | (11643) ~ (all_53_7 = e0)
% 223.54/38.17 | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | REDUCE: (370), (11641) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | (11644) ~ (all_53_12 = e0)
% 223.54/38.17 | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | REDUCE: (371), (11641) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | (11645) ~ (all_53_13 = e0)
% 223.54/38.17 | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | REDUCE: (372), (11641) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | (11646) ~ (all_53_14 = e0)
% 223.54/38.17 | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | REDUCE: (11627), (11641) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | (11647) ~ (e3 = e0)
% 223.54/38.17 | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | REDUCE: (11631), (11641) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | (11648) ~ (e1 = e0)
% 223.54/38.17 | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | REDUCE: (36), (11641) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | (11649) op(e0, e0) = e0
% 223.54/38.17 | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 223.54/38.17 | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | Case 1:
% 223.54/38.17 | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | (11650) ~ (all_38_2 = e2)
% 223.54/38.17 | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | REDUCE: (249), (11650) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | (11651) ~ (all_6_2 = e2)
% 223.54/38.17 | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 223.54/38.17 | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.17 | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | (11652) all_55_10 = e3
% 223.54/38.17 | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (374), (11652) are inconsistent by
% 223.54/38.17 | | | | | | | | | | | | | | | | | sub-proof #2500.
% 223.54/38.17 | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.17 | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | (11653) ~ (all_55_10 = e3)
% 223.54/38.17 | | | | | | | | | | | | | | | | | (11654) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 223.54/38.17 | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | BETA: splitting (11654) gives:
% 223.54/38.17 | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.17 | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | (11655) all_55_10 = e2
% 223.54/38.17 | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (11651), (11655) are inconsistent by
% 223.54/38.17 | | | | | | | | | | | | | | | | | | sub-proof #2499.
% 223.54/38.17 | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.17 | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | (11656) ~ (all_55_10 = e2)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | (11657) all_55_10 = e1 | all_55_10 = e0
% 223.54/38.17 | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | BETA: splitting (11657) gives:
% 223.54/38.17 | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | (11658) all_55_10 = e1
% 223.54/38.17 | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (11658) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | (11659) all_6_2 = e1
% 223.54/38.17 | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | SIMP: (11659) implies:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | (11660) all_6_2 = e1
% 223.54/38.17 | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | REDUCE: (361), (11660) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | (11661) ~ (all_53_6 = e1)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | REDUCE: (364), (11660) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | (11662) ~ (all_53_9 = e1)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | REDUCE: (374), (11660) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | (11663) ~ (e3 = e1)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | REDUCE: (11651), (11660) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | (11664) ~ (e2 = e1)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | REDUCE: (39), (11660) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | (11665) op(e1, e1) = e1
% 223.54/38.17 | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | (11666) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (10095), (11617), (11666),
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | #240.
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | (11667) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11667) gives:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | (11668) all_57_5 = e1 & op(e2, e1) = e1
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (11662), (11668), (function-axioms) are
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2305.
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | (11669) all_57_10 = e1 & op(e2, e0) = e1
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11669) implies:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | (11670) op(e2, e0) = e1
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | (11671) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (171), (10095), (11620), (11671),
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | #185.
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | (11672) (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_13 =
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11672) gives:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | (11673) all_57_7 = e1 & op(e1, e2) = e1
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (11661), (11673), (function-axioms) are
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2265.
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | (11674) all_57_13 = e1 & op(e0, e2) = e1
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11674) implies:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | (11675) op(e0, e2) = e1
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_7, e1,
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (159), (11675) gives:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | (11676) all_53_7 = e1
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_13,
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (165), (11670) gives:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | (11677) all_53_13 = e1
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (11677) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | (11678) ~ (all_53_12 = e1)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (11677) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | (11679) ~ (all_53_14 = e1)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11679) implies:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | (11680) ~ (all_53_14 = e1)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | (11681) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (39), (374), (11625), (11665), (11670),
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | (11681), (function-axioms) are inconsistent by
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #359.
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | (11682) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11682) gives:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | (11683) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11683) implies:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | (11684) op(e1, e0) = all_52_23
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | (11685) op(e1, e2) = all_52_19
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | (11686) op(all_52_19, all_52_19) = e2
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_14,
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_23, e0, e1, simplifying with (161), (11684)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | (11687) all_53_14 = all_52_23
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_6,
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_19, e2, e1, simplifying with (163), (11685)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | (11688) all_53_6 = all_52_19
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (11687) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | (11689) all_55_11 = all_52_23
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (11688) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | (11690) all_55_9 = all_52_19
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (11688) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | (11691) ~ (all_53_4 = all_52_19)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (11687), (11688) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | (11692) ~ (all_52_19 = all_52_23)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10087), (11688) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | (11693) ~ (all_52_19 = e3)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11661), (11688) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | (11694) ~ (all_52_19 = e1)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (11687) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | (11695) ~ (all_53_12 = all_52_23)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11680), (11687) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | (11696) ~ (all_52_23 = e1)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11646), (11687) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | (11697) ~ (all_52_23 = e0)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (11698) all_55_1 = e3
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (10086), (11698) are inconsistent by
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2295.
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (11699) all_55_1 = e2 | all_55_1 = e1 | all_55_1 = e0
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11700) all_55_11 = e3
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11689), (11700) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11701) all_52_23 = e3
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11701) implies:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11702) all_52_23 = e3
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11695), (11702) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11703) ~ (all_53_12 = e3)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11704) all_55_3 = e3
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (11703), (11704) are inconsistent by
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2169.
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11705) all_55_3 = e2 | all_55_3 = e1 | all_55_3 = e0
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11705) gives:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11706) all_55_3 = e2
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (11706) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11707) all_53_12 = e2
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11707) implies:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11708) all_53_12 = e2
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (11708) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11709) ~ (all_53_4 = e2)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11699) gives:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11710) all_55_1 = e2
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (11709), (11710) are inconsistent by
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2284.
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11711) all_55_1 = e1 | all_55_1 = e0
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11711) gives:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11712) all_55_1 = e1
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (11620), (11712) are inconsistent by
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2283.
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11713) all_55_1 = e0
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (11713) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11714) all_53_4 = e0
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11714) implies:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11715) all_53_4 = e0
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11691), (11715) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11716) ~ (all_52_19 = e0)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11716) implies:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11717) ~ (all_52_19 = e0)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11718) all_55_9 = e3
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11690), (11693), (11718) are inconsistent by
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1603.
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11719) ~ (all_55_9 = e3)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11720) all_55_9 = e2 | all_55_9 = e1 | all_55_9 = e0
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11720) gives:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11721) all_55_9 = e2
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11690), (11721) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11722) all_52_19 = e2
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11722) implies:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11723) all_52_19 = e2
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11693), (11723) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11724) ~ (e3 = e2)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11686), (11723) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11725) op(e2, e2) = e2
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10095), (11725), (function-axioms) are
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2298.
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11726) all_55_9 = e1 | all_55_9 = e0
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11690), (11694), (11717), (11726) are
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1883.
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11727) all_55_3 = e1 | all_55_3 = e0
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (11644), (11678), (11727) are inconsistent
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2132.
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11728) all_55_11 = e2 | all_55_11 = e1 | all_55_11 = e0
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11728) gives:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11729) all_55_11 = e2
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11689), (11729) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11730) all_52_23 = e2
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11730) implies:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11731) all_52_23 = e2
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11692), (11731) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11732) ~ (all_52_19 = e2)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11733) all_55_9 = e3
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11690), (11733) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11734) all_52_19 = e3
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11693), (11734) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11735) $false
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11735) is inconsistent.
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11736) all_55_9 = e2 | all_55_9 = e1 | all_55_9 = e0
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11736) gives:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11737) all_55_9 = e2
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11690), (11737) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11738) all_52_19 = e2
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11732), (11738) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11739) $false
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11739) is inconsistent.
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11740) ~ (all_55_9 = e2)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11741) all_55_9 = e1 | all_55_9 = e0
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11741) gives:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11742) all_55_9 = e1
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11690), (11742) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11743) all_52_19 = e1
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11694), (11743) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11744) $false
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11744) is inconsistent.
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11745) all_55_9 = e0
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11690), (11745) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11746) all_52_19 = e0
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11732), (11746) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11747) ~ (e2 = e0)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11685), (11746) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11748) op(e1, e2) = e0
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11649), (11685), (11686), (11748),
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2158.
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11749) all_55_11 = e1 | all_55_11 = e0
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11689), (11696), (11697), (11749) are
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2107.
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | (11750) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11665), (11675), (11750), (function-axioms)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #356.
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.17 | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.17 | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | (11751) all_55_10 = e0
% 223.54/38.17 | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (11629), (11751) are inconsistent by
% 223.54/38.17 | | | | | | | | | | | | | | | | | | | sub-proof #2118.
% 223.54/38.17 | | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.17 | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | End of split
% 223.54/38.17 | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | End of split
% 223.54/38.17 | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | Case 2:
% 223.54/38.17 | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | (11752) all_38_2 = e2
% 223.54/38.17 | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (11752) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | (11753) all_6_2 = e2
% 223.54/38.17 | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | REDUCE: (374), (11753) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | (11754) ~ (e3 = e2)
% 223.54/38.17 | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | REDUCE: (39), (11753) imply:
% 223.54/38.17 | | | | | | | | | | | | | | | | (11755) op(e1, e1) = e2
% 223.54/38.17 | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 223.54/38.17 | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.17 | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | (11756) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.54/38.17 | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.54/38.17 | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.54/38.17 | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.54/38.17 | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.54/38.17 | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.54/38.17 | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.54/38.17 | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 223.54/38.17 | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 223.54/38.17 | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 223.54/38.17 | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 223.54/38.17 | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 223.54/38.17 | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 223.54/38.17 | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 223.54/38.17 | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 223.54/38.17 | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | BETA: splitting (11756) gives:
% 223.54/38.17 | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.17 | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | (11757) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.54/38.17 | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.54/38.17 | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.54/38.17 | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.54/38.17 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.54/38.17 | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.54/38.17 | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.54/38.17 | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 223.54/38.17 | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (11625), (11757), (function-axioms)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #360.
% 223.54/38.17 | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.17 | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | (11758) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 223.54/38.17 | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 223.54/38.17 | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 223.54/38.17 | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 223.54/38.17 | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 223.54/38.17 | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 223.54/38.17 | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 223.54/38.17 | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 223.54/38.17 | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10095), (11625), (11758), (function-axioms)
% 223.54/38.17 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #184.
% 223.54/38.17 | | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | | End of split
% 223.54/38.17 | | | | | | | | | | | | | | | | |
% 223.54/38.17 | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.17 | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | (11759) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 223.54/38.18 | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 223.54/38.18 | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.54/38.18 | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 223.54/38.18 | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 223.54/38.18 | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 223.54/38.18 | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 223.54/38.18 | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 223.54/38.18 | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 223.54/38.18 | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 223.54/38.18 | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.54/38.18 | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 223.54/38.18 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 223.54/38.18 | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 223.54/38.18 | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 223.54/38.18 | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 223.54/38.18 | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | BETA: splitting (11759) gives:
% 223.54/38.18 | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.18 | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | (11760) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 223.54/38.18 | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 223.54/38.18 | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.54/38.18 | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 223.54/38.18 | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 223.54/38.18 | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 223.54/38.18 | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 223.54/38.18 | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 223.54/38.18 | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | ALPHA: (11760) implies:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | (11761) op(e1, e1) = all_52_21
% 223.54/38.18 | | | | | | | | | | | | | | | | | | (11762) op(e1, e3) = all_52_17
% 223.54/38.18 | | | | | | | | | | | | | | | | | | (11763) op(all_52_21, all_52_21) = e1
% 223.54/38.18 | | | | | | | | | | | | | | | | | | (11764) op(all_52_17, all_52_17) = e3
% 223.54/38.18 | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 223.54/38.18 | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | (11765) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_7 = e2
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 223.54/38.18 | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | BETA: splitting (11765) gives:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | (11766) all_57_6 = e2 & op(e1, e3) = e2
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | ALPHA: (11766) implies:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | (11767) all_57_6 = e2
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | (11768) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11768) gives:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | (11769) all_57_6 = e1 & op(e1, e3) = e1
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11769) implies:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | (11770) op(e1, e3) = e1
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (195), (336), (374), (11762), (11764),
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | (11770), (function-axioms) are inconsistent by
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1998.
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | (11771) all_57_7 = e1 & op(e1, e2) = e1
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11771) implies:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | (11772) all_57_7 = e1
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (214), (217),
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | (374), (11629), (11767), (11772),
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | #342.
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | (11773) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (161),
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | (165), (166), (168), (195), (212), (213), (214),
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | (215), (217), (223), (336), (364), (373), (374),
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | (10089), (10090), (10095), (11617), (11629),
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | (11646), (11649), (11755), (11761), (11763),
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | (11773), (function-axioms) are inconsistent by
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | sub-proof #183.
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | (11774) all_57_7 = e2 & op(e1, e2) = e2
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | ALPHA: (11774) implies:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | (11775) all_57_7 = e2
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | (11776) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11776) gives:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | (11777) all_57_6 = e1 & op(e1, e3) = e1
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11777) implies:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | (11778) op(e1, e3) = e1
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (195), (336), (374), (11762), (11764),
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | (11778), (function-axioms) are inconsistent by
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1998.
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | (11779) all_57_7 = e1 & op(e1, e2) = e1
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11775), (11779) are inconsistent by
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2190.
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | (11780) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (161),
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | (165), (166), (168), (195), (212), (213), (214),
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | (215), (217), (223), (336), (364), (373), (374),
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | (10089), (10090), (10095), (11617), (11629),
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | (11646), (11649), (11755), (11761), (11763),
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | (11780), (function-axioms) are inconsistent by
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | sub-proof #183.
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.18 | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | (11781) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_11 =
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 223.54/38.18 | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | BETA: splitting (11781) gives:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | (11782) all_57_8 = e2 & op(e1, e1) = e2
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | all_52_21, e1, e1, simplifying with (11755),
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | (11761) gives:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | (11783) all_52_21 = e2
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (11763), (11783) imply:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | (11784) op(e2, e2) = e1
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10095), (11784), (function-axioms) are
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1912.
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | (11785) all_57_11 = e2 & op(e1, e0) = e2
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (161), (214),
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | (215), (217), (374), (11629), (11646), (11755),
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | (11785), (function-axioms) are inconsistent by
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | sub-proof #347.
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.18 | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.18 | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.18 | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | (11786) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 223.54/38.18 | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 223.54/38.18 | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.54/38.18 | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 223.54/38.18 | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 223.54/38.18 | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 223.54/38.18 | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 223.54/38.18 | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 223.54/38.18 | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | ALPHA: (11786) implies:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | (11787) op(e0, e2) = all_52_27
% 223.54/38.18 | | | | | | | | | | | | | | | | | | (11788) op(e0, e3) = all_52_25
% 223.54/38.18 | | | | | | | | | | | | | | | | | | (11789) op(all_52_27, all_52_27) = e2
% 223.54/38.18 | | | | | | | | | | | | | | | | | | (11790) op(all_52_25, all_52_25) = e3
% 223.54/38.18 | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_7,
% 223.54/38.18 | | | | | | | | | | | | | | | | | | all_52_27, e2, e0, simplifying with (159), (11787)
% 223.54/38.18 | | | | | | | | | | | | | | | | | | gives:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | (11791) all_53_7 = all_52_27
% 223.54/38.18 | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_3,
% 223.54/38.18 | | | | | | | | | | | | | | | | | | all_52_25, e3, e0, simplifying with (160), (11788)
% 223.54/38.18 | | | | | | | | | | | | | | | | | | gives:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | (11792) all_53_3 = all_52_25
% 223.54/38.18 | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (11791) imply:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | (11793) all_55_13 = all_52_27
% 223.54/38.18 | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (11792) imply:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | (11794) all_55_12 = all_52_25
% 223.54/38.18 | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | REDUCE: (149), (11792) imply:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | (11795) ~ (all_53_1 = all_52_25)
% 223.54/38.18 | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | REDUCE: (11619), (11792) imply:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | (11796) ~ (all_52_25 = e1)
% 223.54/38.18 | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | REDUCE: (11642), (11792) imply:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | (11797) ~ (all_52_25 = e0)
% 223.54/38.18 | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | REDUCE: (10088), (11791) imply:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | (11798) ~ (all_52_27 = e3)
% 223.54/38.18 | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | REDUCE: (11643), (11791) imply:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | (11799) ~ (all_52_27 = e0)
% 223.54/38.18 | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 223.54/38.18 | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | (11800) ~ (all_44_2 = e3)
% 223.54/38.18 | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | REDUCE: (10084), (11800) imply:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | (11801) $false
% 223.54/38.18 | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | CLOSE: (11801) is inconsistent.
% 223.54/38.18 | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | (11802) ( ~ (all_44_0 = e1) & op(all_44_1, e2) = all_44_0
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_44_1 & $i(all_44_0) &
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | $i(all_44_1)) | ( ~ (all_44_1 = e0) & op(e2, e3)
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | = all_44_1 & $i(all_44_1))
% 223.54/38.18 | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | (11803) all_55_12 = e3
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11794), (11803) imply:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | (11804) all_52_25 = e3
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | SIMP: (11804) implies:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | (11805) all_52_25 = e3
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (11790), (11805) imply:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | (11806) op(e3, e3) = e3
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11625), (11806), (function-axioms) are
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | (11807) all_55_12 = e2 | all_55_12 = e1 | all_55_12 = e0
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11807) gives:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | (11808) all_55_12 = e2
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11794), (11808) imply:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | (11809) all_52_25 = e2
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | SIMP: (11809) implies:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | (11810) all_52_25 = e2
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11795), (11810) imply:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | (11811) ~ (all_53_1 = e2)
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | (11812) all_55_4 = e3
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (11812) imply:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | (11813) all_53_1 = e3
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10085), (11813) imply:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | (11814) $false
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11814) is inconsistent.
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | (11815) all_55_4 = e2 | all_55_4 = e1 | all_55_4 = e0
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11815) gives:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | (11816) all_55_4 = e2
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (11816) imply:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | (11817) all_53_1 = e2
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11811), (11817) imply:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | (11818) $false
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11818) is inconsistent.
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | (11819) all_55_4 = e1 | all_55_4 = e0
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11819) gives:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | | (11820) all_55_4 = e1
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (11617), (11820) are inconsistent by
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2166.
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | | (11821) all_55_4 = e0
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (11821) imply:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | | (11822) all_53_1 = e0
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11822) implies:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | | (11823) all_53_1 = e0
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (11823) imply:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | | (11824) op(e2, e3) = e0
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (192), (10083), (10095), (11787), (11789),
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | | (11793), (11798), (11799), (11802), (11824),
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | | #252.
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | (11825) all_55_12 = e1 | all_55_12 = e0
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11794), (11796), (11797), (11825) are
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #323.
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.18 | | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.18 | | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | | End of split
% 223.54/38.18 | | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | End of split
% 223.54/38.18 | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | End of split
% 223.54/38.18 | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | End of split
% 223.54/38.18 | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | End of split
% 223.54/38.18 | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | End of split
% 223.54/38.18 | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | Case 2:
% 223.54/38.18 | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | (11826) all_30_2 = e1
% 223.54/38.18 | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | COMBINE_EQS: (330), (11826) imply:
% 223.54/38.18 | | | | | | | | | | | | (11827) all_4_2 = e1
% 223.54/38.18 | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | SIMP: (11827) implies:
% 223.54/38.18 | | | | | | | | | | | | (11828) all_4_2 = e1
% 223.54/38.18 | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | REDUCE: (371), (11828) imply:
% 223.54/38.18 | | | | | | | | | | | | (11829) ~ (all_53_13 = e1)
% 223.54/38.18 | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | REDUCE: (11627), (11828) imply:
% 223.54/38.18 | | | | | | | | | | | | (11830) ~ (e3 = e1)
% 223.54/38.18 | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | REDUCE: (373), (11828) imply:
% 223.54/38.18 | | | | | | | | | | | | (11831) ~ (e2 = e1)
% 223.54/38.18 | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | REDUCE: (36), (11828) imply:
% 223.54/38.18 | | | | | | | | | | | | (11832) op(e0, e0) = e1
% 223.54/38.18 | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | BETA: splitting (223) gives:
% 223.54/38.18 | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | Case 1:
% 223.54/38.18 | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | (11833) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 223.54/38.18 | | | | | | | | | | | | | & op(e2, e2) = e1)
% 223.54/38.18 | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | REF_CLOSE: (8), (168), (10095), (11617), (11833),
% 223.54/38.18 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.18 | | | | | | | | | | | | | #240.
% 223.54/38.18 | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | Case 2:
% 223.54/38.18 | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | (11834) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 223.54/38.18 | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 223.54/38.18 | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | BETA: splitting (11834) gives:
% 223.54/38.18 | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | Case 1:
% 223.54/38.18 | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | (11835) all_57_5 = e1 & op(e2, e1) = e1
% 223.54/38.18 | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | ALPHA: (11835) implies:
% 223.54/38.18 | | | | | | | | | | | | | | (11836) op(e2, e1) = e1
% 223.54/38.18 | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 223.54/38.18 | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | Case 1:
% 223.54/38.18 | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | (11837) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.54/38.18 | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.54/38.18 | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.54/38.18 | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.54/38.18 | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.54/38.18 | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.54/38.18 | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.54/38.18 | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 223.54/38.18 | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 223.54/38.18 | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 223.54/38.18 | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 223.54/38.18 | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 223.54/38.18 | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 223.54/38.18 | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 223.54/38.18 | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 223.54/38.18 | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | BETA: splitting (11837) gives:
% 223.54/38.18 | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | Case 1:
% 223.54/38.18 | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | (11838) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.54/38.18 | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.54/38.18 | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.54/38.18 | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.54/38.18 | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.54/38.18 | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.54/38.18 | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.54/38.18 | | | | | | | | | | | | | | | | $i(all_52_7)
% 223.54/38.18 | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (11625), (11838), (function-axioms)
% 223.54/38.18 | | | | | | | | | | | | | | | | are inconsistent by sub-proof #360.
% 223.54/38.18 | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | Case 2:
% 223.54/38.18 | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | (11839) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 223.54/38.18 | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 223.54/38.18 | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 223.54/38.18 | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 223.54/38.18 | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 223.54/38.18 | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 223.54/38.18 | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 223.54/38.18 | | | | | | | | | | | | | | | | $i(all_52_15)
% 223.54/38.18 | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10095), (11625), (11839), (function-axioms)
% 223.54/38.18 | | | | | | | | | | | | | | | | are inconsistent by sub-proof #184.
% 223.54/38.18 | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | End of split
% 223.54/38.18 | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | Case 2:
% 223.54/38.18 | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | (11840) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 223.54/38.18 | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 223.54/38.18 | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.54/38.18 | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 223.54/38.18 | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 223.54/38.18 | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 223.54/38.18 | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 223.54/38.18 | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 223.54/38.18 | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 223.54/38.18 | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 223.54/38.18 | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.54/38.18 | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 223.54/38.18 | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 223.54/38.18 | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 223.54/38.18 | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 223.54/38.18 | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 223.54/38.18 | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | BETA: splitting (11840) gives:
% 223.54/38.18 | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | Case 1:
% 223.54/38.18 | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | (11841) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 223.54/38.18 | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 223.54/38.18 | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.54/38.18 | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 223.54/38.18 | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 223.54/38.18 | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 223.54/38.18 | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 223.54/38.18 | | | | | | | | | | | | | | | | $i(all_52_23)
% 223.54/38.18 | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | ALPHA: (11841) implies:
% 223.54/38.18 | | | | | | | | | | | | | | | | (11842) op(e1, e1) = all_52_21
% 223.54/38.18 | | | | | | | | | | | | | | | | (11843) op(all_52_21, all_52_21) = e1
% 223.54/38.18 | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | REF_CLOSE: (39), (166), (195), (336), (364), (374), (10089),
% 223.54/38.18 | | | | | | | | | | | | | | | | (10095), (11629), (11836), (11842), (11843),
% 223.54/38.18 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.18 | | | | | | | | | | | | | | | | #243.
% 223.54/38.18 | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | Case 2:
% 223.54/38.18 | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | (11844) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 223.54/38.18 | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 223.54/38.18 | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.54/38.18 | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 223.54/38.18 | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 223.54/38.18 | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 223.54/38.18 | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 223.54/38.18 | | | | | | | | | | | | | | | | $i(all_52_31)
% 223.54/38.18 | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | ALPHA: (11844) implies:
% 223.54/38.18 | | | | | | | | | | | | | | | | (11845) op(e0, e0) = all_52_31
% 223.54/38.18 | | | | | | | | | | | | | | | | (11846) op(all_52_31, all_52_31) = e0
% 223.54/38.18 | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | REF_CLOSE: (39), (11629), (11832), (11845), (11846),
% 223.54/38.18 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.18 | | | | | | | | | | | | | | | | #2086.
% 223.54/38.18 | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | End of split
% 223.54/38.18 | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | End of split
% 223.54/38.18 | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | Case 2:
% 223.54/38.18 | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | (11847) all_57_10 = e1 & op(e2, e0) = e1
% 223.54/38.18 | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | REF_CLOSE: (165), (11829), (11847), (function-axioms) are
% 223.54/38.18 | | | | | | | | | | | | | | inconsistent by sub-proof #2084.
% 223.54/38.18 | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | End of split
% 223.54/38.18 | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | End of split
% 223.54/38.18 | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | End of split
% 223.54/38.18 | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | Case 2:
% 223.54/38.18 | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | (11848) all_24_2 = e0
% 223.54/38.18 | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | COMBINE_EQS: (315), (11848) imply:
% 223.54/38.18 | | | | | | | | | | | (11849) all_6_2 = e0
% 223.54/38.18 | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | SIMP: (11849) implies:
% 223.54/38.18 | | | | | | | | | | | (11850) all_6_2 = e0
% 223.54/38.18 | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | REDUCE: (361), (11850) imply:
% 223.54/38.18 | | | | | | | | | | | (11851) ~ (all_53_6 = e0)
% 223.54/38.18 | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | REDUCE: (363), (11850) imply:
% 223.54/38.18 | | | | | | | | | | | (11852) ~ (all_53_8 = e0)
% 223.54/38.18 | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | REDUCE: (364), (11850) imply:
% 223.54/38.18 | | | | | | | | | | | (11853) ~ (all_53_9 = e0)
% 223.54/38.18 | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | REDUCE: (366), (11850) imply:
% 223.54/38.18 | | | | | | | | | | | (11854) ~ (all_53_11 = e0)
% 223.54/38.18 | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | REDUCE: (39), (11850) imply:
% 223.54/38.18 | | | | | | | | | | | (11855) op(e1, e1) = e0
% 223.54/38.18 | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | BETA: splitting (76) gives:
% 223.54/38.18 | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | Case 1:
% 223.54/38.18 | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | (11856) ~ (all_30_2 = e1)
% 223.54/38.18 | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | REDUCE: (330), (11856) imply:
% 223.54/38.18 | | | | | | | | | | | | (11857) ~ (all_4_2 = e1)
% 223.54/38.18 | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | BETA: splitting (107) gives:
% 223.54/38.18 | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | Case 1:
% 223.54/38.18 | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | (11858) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.54/38.18 | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.54/38.18 | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.54/38.18 | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.54/38.18 | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.54/38.18 | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.54/38.18 | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.54/38.18 | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 223.54/38.18 | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 223.54/38.18 | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 223.54/38.18 | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 223.54/38.18 | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 223.54/38.18 | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 223.54/38.18 | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 223.54/38.18 | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 223.54/38.18 | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | BETA: splitting (11858) gives:
% 223.54/38.18 | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | Case 1:
% 223.54/38.18 | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | (11859) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.54/38.18 | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.54/38.18 | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.54/38.18 | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.54/38.18 | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.54/38.18 | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.54/38.18 | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.54/38.18 | | | | | | | | | | | | | | $i(all_52_7)
% 223.54/38.18 | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | ALPHA: (11859) implies:
% 223.54/38.18 | | | | | | | | | | | | | | (11860) op(e3, e2) = all_52_3
% 223.54/38.18 | | | | | | | | | | | | | | (11861) op(all_52_3, all_52_3) = e2
% 223.54/38.18 | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 223.54/38.18 | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | Case 1:
% 223.54/38.18 | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | (11862) all_55_15 = e3
% 223.54/38.18 | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | REF_CLOSE: (244), (11627), (11862) are inconsistent by
% 223.54/38.18 | | | | | | | | | | | | | | | sub-proof #2503.
% 223.54/38.18 | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | Case 2:
% 223.54/38.18 | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | (11863) ~ (all_55_15 = e3)
% 223.54/38.18 | | | | | | | | | | | | | | | (11864) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 223.54/38.18 | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | BETA: splitting (11864) gives:
% 223.54/38.18 | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | Case 1:
% 223.54/38.18 | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | (11865) all_55_15 = e2
% 223.54/38.18 | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (11865) are inconsistent by
% 223.54/38.18 | | | | | | | | | | | | | | | | sub-proof #2502.
% 223.54/38.18 | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | Case 2:
% 223.54/38.18 | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | (11866) ~ (all_55_15 = e2)
% 223.54/38.18 | | | | | | | | | | | | | | | | (11867) all_55_15 = e1 | all_55_15 = e0
% 223.54/38.18 | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (159), (163), (165), (166),
% 223.54/38.18 | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (244), (362),
% 223.54/38.18 | | | | | | | | | | | | | | | | (371), (373), (10094), (11627), (11851), (11853),
% 223.54/38.18 | | | | | | | | | | | | | | | | (11857), (11860), (11861), (11867),
% 223.54/38.18 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.18 | | | | | | | | | | | | | | | | #228.
% 223.54/38.18 | | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | | End of split
% 223.54/38.18 | | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | End of split
% 223.54/38.18 | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | Case 2:
% 223.54/38.18 | | | | | | | | | | | | | |
% 223.54/38.18 | | | | | | | | | | | | | | (11868) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 223.54/38.18 | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 223.54/38.18 | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 223.54/38.18 | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 223.54/38.18 | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 223.54/38.18 | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 223.54/38.18 | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 223.54/38.18 | | | | | | | | | | | | | | $i(all_52_15)
% 223.54/38.18 | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | ALPHA: (11868) implies:
% 223.54/38.19 | | | | | | | | | | | | | | (11869) op(e2, e2) = all_52_11
% 223.54/38.19 | | | | | | | | | | | | | | (11870) op(e2, e3) = all_52_9
% 223.54/38.19 | | | | | | | | | | | | | | (11871) op(all_52_11, all_52_11) = e2
% 223.54/38.19 | | | | | | | | | | | | | | (11872) op(all_52_9, all_52_9) = e3
% 223.54/38.19 | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 223.54/38.19 | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | Case 1:
% 223.54/38.19 | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | (11873) all_55_15 = e3
% 223.54/38.19 | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | REF_CLOSE: (244), (11627), (11873) are inconsistent by
% 223.54/38.19 | | | | | | | | | | | | | | | sub-proof #2503.
% 223.54/38.19 | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | Case 2:
% 223.54/38.19 | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | (11874) ~ (all_55_15 = e3)
% 223.54/38.19 | | | | | | | | | | | | | | | (11875) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 223.54/38.19 | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | BETA: splitting (11875) gives:
% 223.54/38.19 | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | Case 1:
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | (11876) all_55_15 = e2
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (11876) are inconsistent by
% 223.54/38.19 | | | | | | | | | | | | | | | | sub-proof #2502.
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | Case 2:
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | (11877) ~ (all_55_15 = e2)
% 223.54/38.19 | | | | | | | | | | | | | | | | (11878) all_55_15 = e1 | all_55_15 = e0
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | BETA: splitting (11878) gives:
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | (11879) all_55_15 = e1
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (11857), (11879) are inconsistent by
% 223.54/38.19 | | | | | | | | | | | | | | | | | sub-proof #2501.
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | (11880) all_55_15 = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (11880) imply:
% 223.54/38.19 | | | | | | | | | | | | | | | | | (11881) all_4_2 = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | SIMP: (11881) implies:
% 223.54/38.19 | | | | | | | | | | | | | | | | | (11882) all_4_2 = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | REDUCE: (362), (11882) imply:
% 223.54/38.19 | | | | | | | | | | | | | | | | | (11883) ~ (all_53_7 = e0)
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | REDUCE: (371), (11882) imply:
% 223.54/38.19 | | | | | | | | | | | | | | | | | (11884) ~ (all_53_13 = e0)
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | REDUCE: (11627), (11882) imply:
% 223.54/38.19 | | | | | | | | | | | | | | | | | (11885) ~ (e3 = e0)
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | REDUCE: (373), (11882) imply:
% 223.54/38.19 | | | | | | | | | | | | | | | | | (11886) ~ (e2 = e0)
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | REDUCE: (11857), (11882) imply:
% 223.54/38.19 | | | | | | | | | | | | | | | | | (11887) ~ (e1 = e0)
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | REDUCE: (36), (11882) imply:
% 223.54/38.19 | | | | | | | | | | | | | | | | | (11888) op(e0, e0) = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.19 | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | (11889) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 223.54/38.19 | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | BETA: splitting (11889) gives:
% 223.54/38.19 | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | (11890) all_57_2 = e0 & op(e2, e3) = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | ALPHA: (11890) implies:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | (11891) all_57_2 = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | (11892) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11892) gives:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | (11893) all_57_1 = e0 & op(e3, e2) = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11890) implies:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | (11894) op(e2, e3) = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11893) implies:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | (11895) op(e3, e2) = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | all_52_11, e2, e2, simplifying with (10095),
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | (11869) gives:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | (11896) all_52_11 = e3
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_1, e0,
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (168), (11894) gives:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | (11897) all_53_1 = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_1,
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | all_52_9, e3, e2, simplifying with (168), (11870)
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | gives:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | (11898) all_53_1 = all_52_9
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_4, e0,
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (171), (11895) gives:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | (11899) all_53_4 = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11897), (11898) imply:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | (11900) all_52_9 = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (11897) imply:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | (11901) ~ (all_53_2 = e0)
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | SIMP: (11901) implies:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | (11902) ~ (all_53_2 = e0)
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (11897) imply:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | (11903) ~ (all_53_3 = e0)
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | SIMP: (11903) implies:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | (11904) ~ (all_53_3 = e0)
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11871), (11896) imply:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | (11905) op(e3, e3) = e2
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (160), (164), (168), (230), (11870),
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | (11872), (11888), (11902), (11904), (11905),
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | #1571.
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | (11906) all_57_3 = e0 & op(e2, e2) = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11906) implies:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | (11907) all_57_3 = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | (11891), (11907) are inconsistent by sub-proof
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | #2246.
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | (11908) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (11851), (11883), (11908),
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | #2024.
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.19 | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | (11909) all_57_3 = e0 & op(e2, e2) = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | ALPHA: (11909) implies:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | (11910) op(e2, e2) = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11869), (11871), (11888), (11910),
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | #2270.
% 223.54/38.19 | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.19 | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.19 | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | (11911) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 223.54/38.19 | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 223.54/38.19 | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (166), (11853), (11884), (11911),
% 223.54/38.19 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.19 | | | | | | | | | | | | | | | | | | #2022.
% 223.54/38.19 | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | End of split
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | End of split
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | End of split
% 223.54/38.19 | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | End of split
% 223.54/38.19 | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | End of split
% 223.54/38.19 | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | Case 2:
% 223.54/38.19 | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | (11912) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 223.54/38.19 | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 223.54/38.19 | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.54/38.19 | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 223.54/38.19 | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 223.54/38.19 | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 223.54/38.19 | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 223.54/38.19 | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 223.54/38.19 | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 223.54/38.19 | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 223.54/38.19 | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.54/38.19 | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 223.54/38.19 | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 223.54/38.19 | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 223.54/38.19 | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 223.54/38.19 | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 223.54/38.19 | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | BETA: splitting (11912) gives:
% 223.54/38.19 | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | Case 1:
% 223.54/38.19 | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | (11913) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 223.54/38.19 | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 223.54/38.19 | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.54/38.19 | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 223.54/38.19 | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 223.54/38.19 | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 223.54/38.19 | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 223.54/38.19 | | | | | | | | | | | | | | $i(all_52_23)
% 223.54/38.19 | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | ALPHA: (11913) implies:
% 223.54/38.19 | | | | | | | | | | | | | | (11914) op(e1, e1) = all_52_21
% 223.54/38.19 | | | | | | | | | | | | | | (11915) op(e1, e2) = all_52_19
% 223.54/38.19 | | | | | | | | | | | | | | (11916) op(all_52_21, all_52_21) = e1
% 223.54/38.19 | | | | | | | | | | | | | | (11917) op(all_52_19, all_52_19) = e2
% 223.54/38.19 | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 223.54/38.19 | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | Case 1:
% 223.54/38.19 | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | (11918) all_55_15 = e3
% 223.54/38.19 | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | REF_CLOSE: (244), (11627), (11918) are inconsistent by
% 223.54/38.19 | | | | | | | | | | | | | | | sub-proof #2503.
% 223.54/38.19 | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | Case 2:
% 223.54/38.19 | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | (11919) ~ (all_55_15 = e3)
% 223.54/38.19 | | | | | | | | | | | | | | | (11920) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 223.54/38.19 | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | BETA: splitting (11920) gives:
% 223.54/38.19 | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | Case 1:
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | (11921) all_55_15 = e2
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (11921) are inconsistent by
% 223.54/38.19 | | | | | | | | | | | | | | | | sub-proof #2502.
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | Case 2:
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | (11922) ~ (all_55_15 = e2)
% 223.54/38.19 | | | | | | | | | | | | | | | | (11923) all_55_15 = e1 | all_55_15 = e0
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | BETA: splitting (11923) gives:
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | (11924) all_55_15 = e1
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (11857), (11924) are inconsistent by
% 223.54/38.19 | | | | | | | | | | | | | | | | | sub-proof #2501.
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | (11925) all_55_15 = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (11925) imply:
% 223.54/38.19 | | | | | | | | | | | | | | | | | (11926) all_4_2 = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | SIMP: (11926) implies:
% 223.54/38.19 | | | | | | | | | | | | | | | | | (11927) all_4_2 = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | REDUCE: (362), (11927) imply:
% 223.54/38.19 | | | | | | | | | | | | | | | | | (11928) ~ (all_53_7 = e0)
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | REDUCE: (370), (11927) imply:
% 223.54/38.19 | | | | | | | | | | | | | | | | | (11929) ~ (all_53_12 = e0)
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | REDUCE: (371), (11927) imply:
% 223.54/38.19 | | | | | | | | | | | | | | | | | (11930) ~ (all_53_13 = e0)
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | REDUCE: (372), (11927) imply:
% 223.54/38.19 | | | | | | | | | | | | | | | | | (11931) ~ (all_53_14 = e0)
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | REDUCE: (11627), (11927) imply:
% 223.54/38.19 | | | | | | | | | | | | | | | | | (11932) ~ (e3 = e0)
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | REDUCE: (373), (11927) imply:
% 223.54/38.19 | | | | | | | | | | | | | | | | | (11933) ~ (e2 = e0)
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | REDUCE: (11857), (11927) imply:
% 223.54/38.19 | | | | | | | | | | | | | | | | | (11934) ~ (e1 = e0)
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | REDUCE: (36), (11927) imply:
% 223.54/38.19 | | | | | | | | | | | | | | | | | (11935) op(e0, e0) = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.19 | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | (11936) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 223.54/38.19 | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | BETA: splitting (11936) gives:
% 223.54/38.19 | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | (11937) all_57_2 = e0 & op(e2, e3) = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | ALPHA: (11937) implies:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | (11938) all_57_2 = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | (11939) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11939) gives:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | (11940) all_57_1 = e0 & op(e3, e2) = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (165), (169), (171), (207), (11620),
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | (11855), (11914), (11916), (11929), (11930),
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | (11931), (11940), (function-axioms) are
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1842.
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | (11941) all_57_3 = e0 & op(e2, e2) = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11941) implies:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | (11942) all_57_3 = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | (11938), (11942) are inconsistent by sub-proof
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | #2246.
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | (11943) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (159), (11915), (11917), (11928), (11935),
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | (11943), (function-axioms) are inconsistent by
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | sub-proof #1841.
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.19 | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | (11944) all_57_3 = e0 & op(e2, e2) = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10094), (11944) are inconsistent by
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | sub-proof #262.
% 223.54/38.19 | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | End of split
% 223.54/38.19 | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.19 | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | (11945) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 223.54/38.19 | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 223.54/38.19 | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (166), (11853), (11930), (11945),
% 223.54/38.19 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.19 | | | | | | | | | | | | | | | | | | #2022.
% 223.54/38.19 | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | End of split
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | End of split
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | End of split
% 223.54/38.19 | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | End of split
% 223.54/38.19 | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | Case 2:
% 223.54/38.19 | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | (11946) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 223.54/38.19 | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 223.54/38.19 | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.54/38.19 | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 223.54/38.19 | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 223.54/38.19 | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 223.54/38.19 | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 223.54/38.19 | | | | | | | | | | | | | | $i(all_52_31)
% 223.54/38.19 | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | ALPHA: (11946) implies:
% 223.54/38.19 | | | | | | | | | | | | | | (11947) op(e0, e2) = all_52_27
% 223.54/38.19 | | | | | | | | | | | | | | (11948) op(all_52_27, all_52_27) = e2
% 223.54/38.19 | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 223.54/38.19 | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | Case 1:
% 223.54/38.19 | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | (11949) all_55_15 = e3
% 223.54/38.19 | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | REF_CLOSE: (244), (11627), (11949) are inconsistent by
% 223.54/38.19 | | | | | | | | | | | | | | | sub-proof #2503.
% 223.54/38.19 | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | Case 2:
% 223.54/38.19 | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | (11950) ~ (all_55_15 = e3)
% 223.54/38.19 | | | | | | | | | | | | | | | (11951) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 223.54/38.19 | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | BETA: splitting (11951) gives:
% 223.54/38.19 | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | Case 1:
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | (11952) all_55_15 = e2
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (11952) are inconsistent by
% 223.54/38.19 | | | | | | | | | | | | | | | | sub-proof #2502.
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | Case 2:
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | (11953) all_55_15 = e1 | all_55_15 = e0
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | REF_CLOSE: (97), (159), (165), (166), (168), (192), (222),
% 223.54/38.19 | | | | | | | | | | | | | | | | (244), (246), (362), (371), (10083), (10084),
% 223.54/38.19 | | | | | | | | | | | | | | | | (10088), (10094), (10095), (11627), (11853),
% 223.54/38.19 | | | | | | | | | | | | | | | | (11857), (11947), (11948), (11953),
% 223.54/38.19 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.19 | | | | | | | | | | | | | | | | #251.
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | End of split
% 223.54/38.19 | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | End of split
% 223.54/38.19 | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | End of split
% 223.54/38.19 | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | End of split
% 223.54/38.19 | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | Case 2:
% 223.54/38.19 | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | (11954) all_30_2 = e1
% 223.54/38.19 | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | COMBINE_EQS: (330), (11954) imply:
% 223.54/38.19 | | | | | | | | | | | | (11955) all_4_2 = e1
% 223.54/38.19 | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | SIMP: (11955) implies:
% 223.54/38.19 | | | | | | | | | | | | (11956) all_4_2 = e1
% 223.54/38.19 | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | REDUCE: (371), (11956) imply:
% 223.54/38.19 | | | | | | | | | | | | (11957) ~ (all_53_13 = e1)
% 223.54/38.19 | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | REDUCE: (372), (11956) imply:
% 223.54/38.19 | | | | | | | | | | | | (11958) ~ (all_53_14 = e1)
% 223.54/38.19 | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | REDUCE: (11627), (11956) imply:
% 223.54/38.19 | | | | | | | | | | | | (11959) ~ (e3 = e1)
% 223.54/38.19 | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | BETA: splitting (223) gives:
% 223.54/38.19 | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | Case 1:
% 223.54/38.19 | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | (11960) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 223.54/38.19 | | | | | | | | | | | | | & op(e2, e2) = e1)
% 223.54/38.19 | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | REF_CLOSE: (8), (168), (10095), (11617), (11960),
% 223.54/38.19 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.19 | | | | | | | | | | | | | #240.
% 223.54/38.19 | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | Case 2:
% 223.54/38.19 | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | (11961) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 223.54/38.19 | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 223.54/38.19 | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | BETA: splitting (11961) gives:
% 223.54/38.19 | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | Case 1:
% 223.54/38.19 | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | (11962) all_57_5 = e1 & op(e2, e1) = e1
% 223.54/38.19 | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | ALPHA: (11962) implies:
% 223.54/38.19 | | | | | | | | | | | | | | (11963) op(e2, e1) = e1
% 223.54/38.19 | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 223.54/38.19 | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | Case 1:
% 223.54/38.19 | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | (11964) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 223.54/38.19 | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 223.54/38.19 | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | BETA: splitting (11964) gives:
% 223.54/38.19 | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | Case 1:
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | (11965) all_57_6 = e1 & op(e1, e3) = e1
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | REF_CLOSE: (164), (11618), (11965), (function-axioms) are
% 223.54/38.19 | | | | | | | | | | | | | | | | inconsistent by sub-proof #316.
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | Case 2:
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | (11966) all_57_7 = e1 & op(e1, e2) = e1
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | ALPHA: (11966) implies:
% 223.54/38.19 | | | | | | | | | | | | | | | | (11967) op(e1, e2) = e1
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_6, e1,
% 223.54/38.19 | | | | | | | | | | | | | | | | e2, e1, simplifying with (163), (11967) gives:
% 223.54/38.19 | | | | | | | | | | | | | | | | (11968) all_53_6 = e1
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_9, e1,
% 223.54/38.19 | | | | | | | | | | | | | | | | e1, e2, simplifying with (166), (11963) gives:
% 223.54/38.19 | | | | | | | | | | | | | | | | (11969) all_53_9 = e1
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | REDUCE: (129), (11968) imply:
% 223.54/38.19 | | | | | | | | | | | | | | | | (11970) ~ (all_53_7 = e1)
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | SIMP: (11970) implies:
% 223.54/38.19 | | | | | | | | | | | | | | | | (11971) ~ (all_53_7 = e1)
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | REDUCE: (119), (11969) imply:
% 223.54/38.19 | | | | | | | | | | | | | | | | (11972) ~ (all_53_11 = e1)
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | SIMP: (11972) implies:
% 223.54/38.19 | | | | | | | | | | | | | | | | (11973) ~ (all_53_11 = e1)
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 223.54/38.19 | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | (11974) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.54/38.19 | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.54/38.19 | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.54/38.19 | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.54/38.19 | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.54/38.19 | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.54/38.19 | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.54/38.19 | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 223.54/38.19 | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 223.54/38.19 | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 223.54/38.19 | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 223.54/38.19 | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 223.54/38.19 | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 223.54/38.19 | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 223.54/38.19 | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (39), (374), (11625), (11855), (11963),
% 223.54/38.19 | | | | | | | | | | | | | | | | | (11974), (function-axioms) are inconsistent by
% 223.54/38.19 | | | | | | | | | | | | | | | | | sub-proof #329.
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | (11975) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 223.54/38.19 | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 223.54/38.19 | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.54/38.19 | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 223.54/38.19 | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 223.54/38.19 | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 223.54/38.19 | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 223.54/38.19 | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 223.54/38.19 | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 223.54/38.19 | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 223.54/38.19 | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.54/38.19 | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 223.54/38.19 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 223.54/38.19 | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 223.54/38.19 | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 223.54/38.19 | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | BETA: splitting (11975) gives:
% 223.54/38.19 | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.19 | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | (11976) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 223.54/38.19 | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 223.54/38.19 | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.54/38.19 | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 223.54/38.19 | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 223.54/38.19 | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 223.54/38.19 | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 223.54/38.19 | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | ALPHA: (11976) implies:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | (11977) op(e1, e1) = all_52_21
% 223.54/38.19 | | | | | | | | | | | | | | | | | | (11978) op(e1, e2) = all_52_19
% 223.54/38.19 | | | | | | | | | | | | | | | | | | (11979) op(all_52_19, all_52_19) = e2
% 223.54/38.19 | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (163), (11855), (11967), (11977), (11978),
% 223.54/38.19 | | | | | | | | | | | | | | | | | | (11979), (function-axioms) are inconsistent by
% 223.54/38.19 | | | | | | | | | | | | | | | | | | sub-proof #332.
% 223.54/38.19 | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.19 | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | (11980) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 223.54/38.19 | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 223.54/38.19 | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.54/38.19 | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 223.54/38.19 | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 223.54/38.19 | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 223.54/38.19 | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 223.54/38.19 | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | ALPHA: (11980) implies:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | (11981) op(e0, e1) = all_52_29
% 223.54/38.19 | | | | | | | | | | | | | | | | | | (11982) op(e0, e2) = all_52_27
% 223.54/38.19 | | | | | | | | | | | | | | | | | | (11983) op(all_52_29, all_52_29) = e1
% 223.54/38.19 | | | | | | | | | | | | | | | | | | (11984) op(all_52_27, all_52_27) = e2
% 223.54/38.19 | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_11,
% 223.54/38.19 | | | | | | | | | | | | | | | | | | all_52_29, e1, e0, simplifying with (158), (11981)
% 223.54/38.19 | | | | | | | | | | | | | | | | | | gives:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | (11985) all_53_11 = all_52_29
% 223.54/38.19 | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_7,
% 223.54/38.19 | | | | | | | | | | | | | | | | | | all_52_27, e2, e0, simplifying with (159), (11982)
% 223.54/38.19 | | | | | | | | | | | | | | | | | | gives:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | (11986) all_53_7 = all_52_27
% 223.54/38.19 | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (11985) imply:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | (11987) all_55_14 = all_52_29
% 223.54/38.19 | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (11986) imply:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | (11988) all_55_13 = all_52_27
% 223.54/38.19 | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | REDUCE: (136), (11986) imply:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | (11989) ~ (all_53_4 = all_52_27)
% 223.54/38.19 | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | REDUCE: (10088), (11986) imply:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | (11990) ~ (all_52_27 = e3)
% 223.54/38.19 | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | REDUCE: (11971), (11986) imply:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | (11991) ~ (all_52_27 = e1)
% 223.54/38.19 | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | REDUCE: (122), (11985) imply:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | (11992) ~ (all_53_8 = all_52_29)
% 223.54/38.19 | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | REDUCE: (11973), (11985) imply:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | (11993) ~ (all_52_29 = e1)
% 223.54/38.19 | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | REDUCE: (11854), (11985) imply:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | (11994) ~ (all_52_29 = e0)
% 223.54/38.19 | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 223.54/38.19 | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | (11995) all_55_1 = e3
% 223.54/38.19 | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (10086), (11995) are inconsistent by
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | sub-proof #2295.
% 223.54/38.19 | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | (11996) all_55_1 = e2 | all_55_1 = e1 | all_55_1 = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | (11997) all_55_2 = e3
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (191), (269), (10095), (11621), (11983), (11987),
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | (11992), (11993), (11994), (11997),
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | #212.
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | (11998) all_55_2 = e2 | all_55_2 = e1 | all_55_2 = e0
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11998) gives:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | (11999) all_55_2 = e2
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (11999) imply:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | (12000) all_53_8 = e2
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | SIMP: (12000) implies:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | (12001) all_53_8 = e2
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (12001) imply:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | (12002) ~ (all_53_4 = e2)
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11996) gives:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.19 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | (12003) all_55_1 = e2
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (12002), (12003) are inconsistent by
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2284.
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | (12004) all_55_1 = e1 | all_55_1 = e0
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12004) gives:
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | | (12005) all_55_1 = e1
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (11620), (12005) are inconsistent by
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2283.
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | | (12006) all_55_1 = e0
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (12006) imply:
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | | (12007) all_53_4 = e0
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12007) implies:
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | | (12008) all_53_4 = e0
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11989), (12008) imply:
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | | (12009) ~ (all_52_27 = e0)
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12009) implies:
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | | (12010) ~ (all_52_27 = e0)
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | | | (12011) all_55_13 = e3
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11988), (11990), (12011) are inconsistent by
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1648.
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.54/38.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | | (12012) ~ (all_55_13 = e3)
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | | (12013) all_55_13 = e2 | all_55_13 = e1 | all_55_13 = e0
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12013) gives:
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | | | (12014) all_55_13 = e2
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11988), (12014) imply:
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | | | (12015) all_52_27 = e2
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12015) implies:
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | | | (12016) all_52_27 = e2
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11990), (12016) imply:
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | | | (12017) ~ (e3 = e2)
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11984), (12016) imply:
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | | | (12018) op(e2, e2) = e2
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10095), (12018), (function-axioms) are
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2298.
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | | | (12019) all_55_13 = e1 | all_55_13 = e0
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11988), (11991), (12010), (12019) are
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1615.
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | (12020) all_55_2 = e1 | all_55_2 = e0
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (11621), (11852), (12020) are inconsistent
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | by sub-proof #2030.
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.20 | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.20 | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | End of split
% 223.74/38.20 | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | End of split
% 223.74/38.20 | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | End of split
% 223.74/38.20 | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | Case 2:
% 223.74/38.20 | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | (12021) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 223.74/38.20 | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 223.74/38.20 | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | REF_CLOSE: (4), (161), (11855), (11958), (12021),
% 223.74/38.20 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.20 | | | | | | | | | | | | | | | #223.
% 223.74/38.20 | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | End of split
% 223.74/38.20 | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | Case 2:
% 223.74/38.20 | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | (12022) all_57_10 = e1 & op(e2, e0) = e1
% 223.74/38.20 | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | REF_CLOSE: (165), (11957), (12022), (function-axioms) are
% 223.74/38.20 | | | | | | | | | | | | | | inconsistent by sub-proof #2084.
% 223.74/38.20 | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | End of split
% 223.74/38.20 | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | End of split
% 223.74/38.20 | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | End of split
% 223.74/38.20 | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | End of split
% 223.74/38.20 | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | Case 2:
% 223.74/38.20 | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | (12023) all_12_2 = e3
% 223.74/38.20 | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | COMBINE_EQS: (325), (12023) imply:
% 223.74/38.20 | | | | | | | | | | (12024) all_4_2 = e3
% 223.74/38.20 | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | SIMP: (12024) implies:
% 223.74/38.20 | | | | | | | | | | (12025) all_4_2 = e3
% 223.74/38.20 | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | REDUCE: (370), (12025) imply:
% 223.74/38.20 | | | | | | | | | | (12026) ~ (all_53_12 = e3)
% 223.74/38.20 | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | REDUCE: (372), (12025) imply:
% 223.74/38.20 | | | | | | | | | | (12027) ~ (all_53_14 = e3)
% 223.74/38.20 | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | REDUCE: (36), (12025) imply:
% 223.74/38.20 | | | | | | | | | | (12028) op(e0, e0) = e3
% 223.74/38.20 | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | BETA: splitting (221) gives:
% 223.74/38.20 | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | Case 1:
% 223.74/38.20 | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | (12029) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 223.74/38.20 | | | | | | | | | | | & op(e2, e1) = e3)
% 223.74/38.20 | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | BETA: splitting (12029) gives:
% 223.74/38.20 | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | Case 1:
% 223.74/38.20 | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | (12030) all_57_4 = e3 & op(e3, e1) = e3
% 223.74/38.20 | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | ALPHA: (12030) implies:
% 223.74/38.20 | | | | | | | | | | | | (12031) all_57_4 = e3
% 223.74/38.20 | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | BETA: splitting (107) gives:
% 223.74/38.20 | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | Case 1:
% 223.74/38.20 | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | (12032) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.74/38.20 | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.74/38.20 | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.74/38.20 | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.74/38.20 | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.74/38.20 | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.74/38.20 | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.74/38.20 | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 223.74/38.20 | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 223.74/38.20 | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 223.74/38.20 | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 223.74/38.20 | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 223.74/38.20 | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 223.74/38.20 | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 223.74/38.20 | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 223.74/38.20 | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | BETA: splitting (12032) gives:
% 223.74/38.20 | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | Case 1:
% 223.74/38.20 | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | (12033) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.74/38.20 | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.74/38.20 | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.74/38.20 | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.74/38.20 | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.74/38.20 | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.74/38.20 | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.74/38.20 | | | | | | | | | | | | | | $i(all_52_7)
% 223.74/38.20 | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | ALPHA: (12033) implies:
% 223.74/38.20 | | | | | | | | | | | | | | (12034) op(e3, e3) = all_52_1
% 223.74/38.20 | | | | | | | | | | | | | | (12035) op(all_52_1, all_52_1) = e3
% 223.74/38.20 | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | ALPHA: (12030) implies:
% 223.74/38.20 | | | | | | | | | | | | | | (12036) op(e3, e1) = e3
% 223.74/38.20 | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_8, e3,
% 223.74/38.20 | | | | | | | | | | | | | | e1, e3, simplifying with (170), (12036) gives:
% 223.74/38.20 | | | | | | | | | | | | | | (12037) all_53_8 = e3
% 223.74/38.20 | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_52_1,
% 223.74/38.20 | | | | | | | | | | | | | | e3, e3, simplifying with (11625), (12034) gives:
% 223.74/38.20 | | | | | | | | | | | | | | (12038) all_52_1 = e1
% 223.74/38.20 | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | REDUCE: (363), (12037) imply:
% 223.74/38.20 | | | | | | | | | | | | | | (12039) ~ (all_6_2 = e3)
% 223.74/38.20 | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | REDUCE: (12035), (12038) imply:
% 223.74/38.20 | | | | | | | | | | | | | | (12040) op(e1, e1) = e3
% 223.74/38.20 | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | REF_CLOSE: (39), (374), (12040), (function-axioms) are
% 223.74/38.20 | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 223.74/38.20 | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | Case 2:
% 223.74/38.20 | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | (12041) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 223.74/38.20 | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 223.74/38.20 | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 223.74/38.20 | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 223.74/38.20 | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 223.74/38.20 | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 223.74/38.20 | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 223.74/38.20 | | | | | | | | | | | | | | $i(all_52_15)
% 223.74/38.20 | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | REF_CLOSE: (6), (10095), (11625), (12041), (function-axioms)
% 223.74/38.20 | | | | | | | | | | | | | | are inconsistent by sub-proof #184.
% 223.74/38.20 | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | End of split
% 223.74/38.20 | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | Case 2:
% 223.74/38.20 | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | (12042) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 223.74/38.20 | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 223.74/38.20 | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.74/38.20 | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 223.74/38.20 | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 223.74/38.20 | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 223.74/38.20 | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 223.74/38.20 | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 223.74/38.20 | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 223.74/38.20 | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 223.74/38.20 | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.74/38.20 | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 223.74/38.20 | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 223.74/38.20 | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 223.74/38.20 | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 223.74/38.20 | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 223.74/38.20 | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | BETA: splitting (12042) gives:
% 223.74/38.20 | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | Case 1:
% 223.74/38.20 | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | (12043) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 223.74/38.20 | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 223.74/38.20 | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.74/38.20 | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 223.74/38.20 | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 223.74/38.20 | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 223.74/38.20 | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 223.74/38.20 | | | | | | | | | | | | | | $i(all_52_23)
% 223.74/38.20 | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | ALPHA: (12043) implies:
% 223.74/38.20 | | | | | | | | | | | | | | (12044) op(e1, e3) = all_52_17
% 223.74/38.20 | | | | | | | | | | | | | | (12045) op(all_52_17, all_52_17) = e3
% 223.74/38.20 | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 223.74/38.20 | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | Case 1:
% 223.74/38.20 | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | (12046) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 223.74/38.20 | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 223.74/38.20 | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | BETA: splitting (12046) gives:
% 223.74/38.20 | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | Case 1:
% 223.74/38.20 | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | (12047) all_57_6 = e3 & op(e1, e3) = e3
% 223.74/38.20 | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (121), (135), (164),
% 223.74/38.20 | | | | | | | | | | | | | | | | (169), (170), (171), (230), (231), (232), (233),
% 223.74/38.20 | | | | | | | | | | | | | | | | (234), (235), (237), (11621), (11624), (12026),
% 223.74/38.20 | | | | | | | | | | | | | | | | (12031), (12044), (12045), (12047),
% 223.74/38.20 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.20 | | | | | | | | | | | | | | | | #182.
% 223.74/38.20 | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | Case 2:
% 223.74/38.20 | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | (12048) all_57_7 = e3 & op(e1, e2) = e3
% 223.74/38.20 | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | ALPHA: (12048) implies:
% 223.74/38.20 | | | | | | | | | | | | | | | | (12049) all_57_7 = e3
% 223.74/38.20 | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 223.74/38.20 | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.20 | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | (12050) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1
% 223.74/38.20 | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 223.74/38.20 | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (171), (10095), (11620), (12050),
% 223.74/38.20 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.20 | | | | | | | | | | | | | | | | | #185.
% 223.74/38.20 | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.20 | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | (12051) (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_13 =
% 223.74/38.20 | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 223.74/38.20 | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | BETA: splitting (12051) gives:
% 223.74/38.20 | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.20 | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | (12052) all_57_7 = e1 & op(e1, e2) = e1
% 223.74/38.20 | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12049), (12052) are inconsistent by
% 223.74/38.20 | | | | | | | | | | | | | | | | | | sub-proof #2104.
% 223.74/38.20 | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.20 | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | (12053) all_57_13 = e1 & op(e0, e2) = e1
% 223.74/38.20 | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | ALPHA: (12053) implies:
% 223.74/38.20 | | | | | | | | | | | | | | | | | | (12054) all_57_13 = e1
% 223.74/38.20 | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 223.74/38.20 | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.20 | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | (12055) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_2 = e3
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 223.74/38.20 | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (10085), (11625), (12055),
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | #181.
% 223.74/38.20 | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.20 | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | (12056) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_12 =
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 223.74/38.20 | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | BETA: splitting (12056) gives:
% 223.74/38.20 | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | (12057) all_57_6 = e3 & op(e1, e3) = e3
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (121), (135), (164),
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | (169), (170), (171), (230), (231), (232), (233),
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | (234), (235), (237), (11621), (11624), (12026),
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | (12031), (12044), (12045), (12057),
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | #182.
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | (12058) all_57_12 = e3 & op(e0, e3) = e3
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | ALPHA: (12058) implies:
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | (12059) all_57_12 = e3
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | (12060) all_57_15 = e0 & op(e0, e0) = e0
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | ALPHA: (12060) implies:
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | (12061) op(e0, e0) = e0
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12028), (12061), (function-axioms) are
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | (12062) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | ALPHA: (12062) implies:
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | (12063) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12063) gives:
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | (12064) all_57_12 = e0 & op(e0, e3) = e0
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12064) implies:
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | (12065) all_57_12 = e0
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12059), (12065) are inconsistent by
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2153.
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | (12066) (all_57_13 = e0 & op(e0, e2) = e0) | (all_57_14 =
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12066) gives:
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | (12067) all_57_13 = e0 & op(e0, e2) = e0
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12067) implies:
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | (12068) all_57_13 = e0
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12054), (12068) are inconsistent by
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1760.
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | (12069) all_57_14 = e0 & op(e0, e1) = e0
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12069) implies:
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | (12070) all_57_14 = e0
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (36), (209), (373), (12054),
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | (12059), (12070), (function-axioms) are
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #179.
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.20 | | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.20 | | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | End of split
% 223.74/38.20 | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | End of split
% 223.74/38.20 | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | End of split
% 223.74/38.20 | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | Case 2:
% 223.74/38.20 | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | (12071) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 223.74/38.20 | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 223.74/38.20 | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | REF_CLOSE: (39), (161), (374), (12027), (12071),
% 223.74/38.20 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.20 | | | | | | | | | | | | | | | #2310.
% 223.74/38.20 | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | End of split
% 223.74/38.20 | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | Case 2:
% 223.74/38.20 | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | (12072) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 223.74/38.20 | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 223.74/38.20 | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.74/38.20 | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 223.74/38.20 | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 223.74/38.20 | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 223.74/38.20 | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 223.74/38.20 | | | | | | | | | | | | | | $i(all_52_31)
% 223.74/38.20 | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | ALPHA: (12072) implies:
% 223.74/38.20 | | | | | | | | | | | | | | (12073) op(e0, e0) = all_52_31
% 223.74/38.20 | | | | | | | | | | | | | | (12074) op(all_52_31, all_52_31) = e0
% 223.74/38.20 | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | REF_CLOSE: (4), (11625), (12028), (12073), (12074),
% 223.74/38.20 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.20 | | | | | | | | | | | | | | #283.
% 223.74/38.20 | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | End of split
% 223.74/38.20 | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | End of split
% 223.74/38.20 | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | Case 2:
% 223.74/38.20 | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | (12075) all_57_5 = e3 & op(e2, e1) = e3
% 223.74/38.20 | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | REF_CLOSE: (166), (10089), (12075), (function-axioms) are
% 223.74/38.20 | | | | | | | | | | | | inconsistent by sub-proof #270.
% 223.74/38.20 | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | End of split
% 223.74/38.20 | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | Case 2:
% 223.74/38.20 | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | (12076) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 223.74/38.20 | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 223.74/38.20 | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (161), (165),
% 223.74/38.20 | | | | | | | | | | | (169), (207), (208), (209), (213), (374), (10090),
% 223.74/38.20 | | | | | | | | | | | (12026), (12027), (12076), (function-axioms) are
% 223.74/38.20 | | | | | | | | | | | inconsistent by sub-proof #186.
% 223.74/38.20 | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | End of split
% 223.74/38.20 | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | End of split
% 223.74/38.20 | | | | | | | | |
% 223.74/38.20 | | | | | | | | Case 2:
% 223.74/38.20 | | | | | | | | |
% 223.74/38.20 | | | | | | | | | (12077) all_57_2 = e1 & op(e2, e3) = e1
% 223.74/38.20 | | | | | | | | |
% 223.74/38.20 | | | | | | | | | REF_CLOSE: (168), (11617), (12077), (function-axioms) are
% 223.74/38.20 | | | | | | | | | inconsistent by sub-proof #2156.
% 223.74/38.20 | | | | | | | | |
% 223.74/38.20 | | | | | | | | End of split
% 223.74/38.20 | | | | | | | |
% 223.74/38.20 | | | | | | | Case 2:
% 223.74/38.20 | | | | | | | |
% 223.74/38.20 | | | | | | | | (12078) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 = e1 &
% 223.74/38.20 | | | | | | | | op(e0, e3) = e1)
% 223.74/38.20 | | | | | | | |
% 223.74/38.20 | | | | | | | | BETA: splitting (12078) gives:
% 223.74/38.20 | | | | | | | |
% 223.74/38.20 | | | | | | | | Case 1:
% 223.74/38.20 | | | | | | | | |
% 223.74/38.20 | | | | | | | | | (12079) all_57_6 = e1 & op(e1, e3) = e1
% 223.74/38.20 | | | | | | | | |
% 223.74/38.20 | | | | | | | | | REF_CLOSE: (164), (11618), (12079), (function-axioms) are
% 223.74/38.20 | | | | | | | | | inconsistent by sub-proof #316.
% 223.74/38.20 | | | | | | | | |
% 223.74/38.20 | | | | | | | | Case 2:
% 223.74/38.20 | | | | | | | | |
% 223.74/38.20 | | | | | | | | | (12080) all_57_12 = e1 & op(e0, e3) = e1
% 223.74/38.20 | | | | | | | | |
% 223.74/38.20 | | | | | | | | | REF_CLOSE: (160), (11619), (12080), (function-axioms) are
% 223.74/38.20 | | | | | | | | | inconsistent by sub-proof #1947.
% 223.74/38.20 | | | | | | | | |
% 223.74/38.20 | | | | | | | | End of split
% 223.74/38.20 | | | | | | | |
% 223.74/38.20 | | | | | | | End of split
% 223.74/38.20 | | | | | | |
% 223.74/38.20 | | | | | | End of split
% 223.74/38.20 | | | | | |
% 223.74/38.20 | | | | | End of split
% 223.74/38.20 | | | | |
% 223.74/38.20 | | | | Case 2:
% 223.74/38.20 | | | | |
% 223.74/38.20 | | | | | (12081) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 = e3 &
% 223.74/38.20 | | | | | op(e2, e0) = e3)
% 223.74/38.20 | | | | |
% 223.74/38.20 | | | | | REF_CLOSE: (165), (166), (10089), (10090), (12081), (function-axioms)
% 223.74/38.20 | | | | | are inconsistent by sub-proof #178.
% 223.74/38.20 | | | | |
% 223.74/38.20 | | | | End of split
% 223.74/38.20 | | | |
% 223.74/38.20 | | | End of split
% 223.74/38.20 | | |
% 223.74/38.20 | | Case 2:
% 223.74/38.20 | | |
% 223.74/38.20 | | | (12082) all_6_2 = e3
% 223.74/38.20 | | | (12083) ( ~ (all_6_0 = e0) & op(all_6_1, e1) = all_6_0 & op(e1, e3) =
% 223.74/38.20 | | | all_6_1 & $i(all_6_0) & $i(all_6_1)) | ( ~ (all_6_1 = e2) &
% 223.74/38.20 | | | op(e1, e3) = all_6_1 & $i(all_6_1))
% 223.74/38.20 | | |
% 223.74/38.20 | | | COMBINE_EQS: (333), (12082) imply:
% 223.74/38.20 | | | (12084) all_46_2 = e3
% 223.74/38.20 | | |
% 223.74/38.20 | | | REDUCE: (350), (12082) imply:
% 223.74/38.20 | | | (12085) ~ (all_53_2 = e3)
% 223.74/38.20 | | |
% 223.74/38.20 | | | REDUCE: (361), (12082) imply:
% 223.74/38.20 | | | (12086) ~ (all_53_6 = e3)
% 223.74/38.20 | | |
% 223.74/38.20 | | | REDUCE: (363), (12082) imply:
% 223.74/38.20 | | | (12087) ~ (all_53_8 = e3)
% 223.74/38.20 | | |
% 223.74/38.20 | | | REDUCE: (364), (12082) imply:
% 223.74/38.20 | | | (12088) ~ (all_53_9 = e3)
% 223.74/38.20 | | |
% 223.74/38.20 | | | REDUCE: (366), (12082) imply:
% 223.74/38.20 | | | (12089) ~ (all_53_11 = e3)
% 223.74/38.20 | | |
% 223.74/38.20 | | | REDUCE: (368), (12082) imply:
% 223.74/38.20 | | | (12090) ~ (all_53_14 = e3)
% 223.74/38.20 | | |
% 223.74/38.20 | | | BETA: splitting (221) gives:
% 223.74/38.20 | | |
% 223.74/38.20 | | | Case 1:
% 223.74/38.20 | | | |
% 223.74/38.20 | | | | (12091) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3 & op(e2,
% 223.74/38.20 | | | | e1) = e3)
% 223.74/38.20 | | | |
% 223.74/38.20 | | | | BETA: splitting (12091) gives:
% 223.74/38.20 | | | |
% 223.74/38.20 | | | | Case 1:
% 223.74/38.20 | | | | |
% 223.74/38.20 | | | | | (12092) all_57_4 = e3 & op(e3, e1) = e3
% 223.74/38.20 | | | | |
% 223.74/38.20 | | | | | REF_CLOSE: (170), (12087), (12092), (function-axioms) are inconsistent
% 223.74/38.20 | | | | | by sub-proof #177.
% 223.74/38.20 | | | | |
% 223.74/38.20 | | | | Case 2:
% 223.74/38.20 | | | | |
% 223.74/38.20 | | | | | (12093) all_57_5 = e3 & op(e2, e1) = e3
% 223.74/38.20 | | | | |
% 223.74/38.20 | | | | | REF_CLOSE: (166), (12088), (12093), (function-axioms) are inconsistent
% 223.74/38.20 | | | | | by sub-proof #270.
% 223.74/38.20 | | | | |
% 223.74/38.20 | | | | End of split
% 223.74/38.20 | | | |
% 223.74/38.20 | | | Case 2:
% 223.74/38.20 | | | |
% 223.74/38.20 | | | | (12094) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 = e3 & op(e0,
% 223.74/38.20 | | | | e1) = e3)
% 223.74/38.20 | | | |
% 223.74/38.20 | | | | BETA: splitting (12094) gives:
% 223.74/38.20 | | | |
% 223.74/38.20 | | | | Case 1:
% 223.74/38.20 | | | | |
% 223.74/38.20 | | | | | (12095) all_57_8 = e3 & op(e1, e1) = e3
% 223.74/38.20 | | | | |
% 223.74/38.20 | | | | | ALPHA: (12095) implies:
% 223.74/38.20 | | | | | (12096) all_57_8 = e3
% 223.74/38.20 | | | | | (12097) op(e1, e1) = e3
% 223.74/38.20 | | | | |
% 223.74/38.20 | | | | | BETA: splitting (43) gives:
% 223.74/38.20 | | | | |
% 223.74/38.20 | | | | | Case 1:
% 223.74/38.20 | | | | | |
% 223.74/38.20 | | | | | | (12098) ~ (all_8_2 = e3)
% 223.74/38.20 | | | | | |
% 223.74/38.20 | | | | | | BETA: splitting (46) gives:
% 223.74/38.20 | | | | | |
% 223.74/38.20 | | | | | | Case 1:
% 223.74/38.20 | | | | | | |
% 223.74/38.20 | | | | | | | (12099) ~ (all_10_2 = e1)
% 223.74/38.20 | | | | | | |
% 223.74/38.20 | | | | | | | BETA: splitting (49) gives:
% 223.74/38.20 | | | | | | |
% 223.74/38.20 | | | | | | | Case 1:
% 223.74/38.20 | | | | | | | |
% 223.74/38.20 | | | | | | | | (12100) ~ (all_12_2 = e3)
% 223.74/38.20 | | | | | | | |
% 223.74/38.20 | | | | | | | | REDUCE: (325), (12100) imply:
% 223.74/38.20 | | | | | | | | (12101) ~ (all_4_2 = e3)
% 223.74/38.20 | | | | | | | |
% 223.74/38.20 | | | | | | | | BETA: splitting (52) gives:
% 223.74/38.20 | | | | | | | |
% 223.74/38.20 | | | | | | | | Case 1:
% 223.74/38.20 | | | | | | | | |
% 223.74/38.20 | | | | | | | | | (12102) ~ (all_14_2 = e0)
% 223.74/38.20 | | | | | | | | |
% 223.74/38.20 | | | | | | | | | REDUCE: (328), (12102) imply:
% 223.74/38.20 | | | | | | | | | (12103) ~ (all_8_2 = e0)
% 223.74/38.20 | | | | | | | | |
% 223.74/38.20 | | | | | | | | | BETA: splitting (55) gives:
% 223.74/38.20 | | | | | | | | |
% 223.74/38.20 | | | | | | | | | Case 1:
% 223.74/38.20 | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | (12104) ~ (all_16_2 = e1)
% 223.74/38.20 | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | REDUCE: (324), (12104) imply:
% 223.74/38.20 | | | | | | | | | | (12105) ~ (all_8_2 = e1)
% 223.74/38.20 | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | BETA: splitting (200) gives:
% 223.74/38.20 | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | Case 1:
% 223.74/38.20 | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | (12106) all_55_5 = e3
% 223.74/38.20 | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | REF_CLOSE: (266), (12098), (12106) are inconsistent by
% 223.74/38.20 | | | | | | | | | | | sub-proof #293.
% 223.74/38.20 | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | Case 2:
% 223.74/38.20 | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | (12107) ~ (all_55_5 = e3)
% 223.74/38.20 | | | | | | | | | | | (12108) all_55_5 = e2 | all_55_5 = e1 | all_55_5 = e0
% 223.74/38.20 | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | BETA: splitting (12108) gives:
% 223.74/38.20 | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | Case 1:
% 223.74/38.20 | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | (12109) all_55_5 = e2
% 223.74/38.20 | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | COMBINE_EQS: (266), (12109) imply:
% 223.74/38.20 | | | | | | | | | | | | (12110) all_8_2 = e2
% 223.74/38.20 | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | SIMP: (12110) implies:
% 223.74/38.20 | | | | | | | | | | | | (12111) all_8_2 = e2
% 223.74/38.20 | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | REDUCE: (349), (12111) imply:
% 223.74/38.20 | | | | | | | | | | | | (12112) ~ (all_53_1 = e2)
% 223.74/38.20 | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | REDUCE: (352), (12111) imply:
% 223.74/38.20 | | | | | | | | | | | | (12113) ~ (all_53_4 = e2)
% 223.74/38.20 | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | REDUCE: (354), (12111) imply:
% 223.74/38.20 | | | | | | | | | | | | (12114) ~ (all_53_6 = e2)
% 223.74/38.20 | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | REDUCE: (356), (12111) imply:
% 223.74/38.20 | | | | | | | | | | | | (12115) ~ (all_53_7 = e2)
% 223.74/38.20 | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | REDUCE: (358), (12111) imply:
% 223.74/38.20 | | | | | | | | | | | | (12116) ~ (all_53_9 = e2)
% 223.74/38.20 | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | REDUCE: (360), (12111) imply:
% 223.74/38.20 | | | | | | | | | | | | (12117) ~ (all_53_13 = e2)
% 223.74/38.20 | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | REDUCE: (12098), (12111) imply:
% 223.74/38.20 | | | | | | | | | | | | (12118) ~ (e3 = e2)
% 223.74/38.20 | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | BETA: splitting (228) gives:
% 223.74/38.20 | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | Case 1:
% 223.74/38.20 | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | (12119) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 223.74/38.20 | | | | | | | | | | | | | & op(e2, e2) = e2)
% 223.74/38.20 | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | BETA: splitting (12119) gives:
% 223.74/38.20 | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | Case 1:
% 223.74/38.20 | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | (12120) all_57_1 = e2 & op(e3, e2) = e2
% 223.74/38.20 | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | REF_CLOSE: (171), (12113), (12120), (function-axioms) are
% 223.74/38.20 | | | | | | | | | | | | | | inconsistent by sub-proof #2456.
% 223.74/38.20 | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | Case 2:
% 223.74/38.20 | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | (12121) all_57_3 = e2 & op(e2, e2) = e2
% 223.74/38.20 | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | ALPHA: (12121) implies:
% 223.74/38.20 | | | | | | | | | | | | | | (12122) all_57_3 = e2
% 223.74/38.20 | | | | | | | | | | | | | | (12123) op(e2, e2) = e2
% 223.74/38.20 | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 223.74/38.20 | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | Case 1:
% 223.74/38.20 | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | (12124) ~ (all_18_2 = e0)
% 223.74/38.20 | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | REDUCE: (327), (12124) imply:
% 223.74/38.20 | | | | | | | | | | | | | | | (12125) ~ (all_10_2 = e0)
% 223.74/38.20 | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 223.74/38.20 | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | Case 1:
% 223.74/38.20 | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | (12126) ~ (all_20_2 = e2)
% 223.74/38.20 | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | REDUCE: (299), (12126) imply:
% 223.74/38.20 | | | | | | | | | | | | | | | | (12127) ~ (all_10_2 = e2)
% 223.74/38.20 | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 223.74/38.20 | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.20 | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | (12128) all_55_0 = e3
% 223.74/38.20 | | | | | | | | | | | | | | | | |
% 223.74/38.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (277), (12128) imply:
% 223.74/38.21 | | | | | | | | | | | | | | | | | (12129) all_10_2 = e3
% 223.74/38.21 | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | SIMP: (12129) implies:
% 223.74/38.21 | | | | | | | | | | | | | | | | | (12130) all_10_2 = e3
% 223.74/38.21 | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | REDUCE: (338), (12130) imply:
% 223.74/38.21 | | | | | | | | | | | | | | | | | (12131) ~ (all_53_1 = e3)
% 223.74/38.21 | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | REDUCE: (344), (12130) imply:
% 223.74/38.21 | | | | | | | | | | | | | | | | | (12132) ~ (all_53_4 = e3)
% 223.74/38.21 | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | REDUCE: (45), (12130) imply:
% 223.74/38.21 | | | | | | | | | | | | | | | | | (12133) op(e3, e3) = e3
% 223.74/38.21 | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | (12134) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 223.74/38.21 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 223.74/38.21 | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (12123), (12131), (12134),
% 223.74/38.21 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.21 | | | | | | | | | | | | | | | | | | #2297.
% 223.74/38.21 | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.21 | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | (12135) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 223.74/38.21 | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 223.74/38.21 | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | BETA: splitting (12135) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | (12136) all_57_5 = e3 & op(e2, e1) = e3
% 223.74/38.21 | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (12088), (12136), (function-axioms) are
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #270.
% 223.74/38.21 | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | (12137) all_57_10 = e3 & op(e2, e0) = e3
% 223.74/38.21 | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | ALPHA: (12137) implies:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | (12138) all_57_10 = e3
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | (12139) op(e2, e0) = e3
% 223.74/38.21 | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | (12140) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (171), (12123), (12132), (12140),
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | #2285.
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | (12141) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | BETA: splitting (12141) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | (12142) all_57_7 = e3 & op(e1, e2) = e3
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (12086), (12142), (function-axioms) are
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #267.
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | (12143) all_57_13 = e3 & op(e0, e2) = e3
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | ALPHA: (12143) implies:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | (12144) all_57_13 = e3
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | (12145) op(e0, e2) = e3
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_7, e3,
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (159), (12145) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | (12146) all_53_7 = e3
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_13,
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | e3, e0, e2, simplifying with (165), (12139) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | (12147) all_53_13 = e3
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (12147) imply:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | (12148) ~ (all_53_12 = e3)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (12147) imply:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | (12149) ~ (all_53_14 = e3)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (12147) imply:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | (12150) ~ (all_4_2 = e3)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | (12151) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12151) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | (12152) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12152) implies:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | (12153) op(e3, e0) = all_52_7
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | (12154) op(e3, e1) = all_52_5
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | (12155) op(e3, e2) = all_52_3
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | (12156) op(e3, e3) = all_52_1
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | (12157) op(all_52_7, all_52_7) = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | (12158) op(all_52_5, all_52_5) = e1
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | (12159) op(all_52_3, all_52_3) = e2
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | (12160) op(all_52_1, all_52_1) = e3
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_12,
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | all_52_7, e0, e3, simplifying with (169), (12153)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | (12161) all_53_12 = all_52_7
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_8,
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | all_52_5, e1, e3, simplifying with (170), (12154)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | (12162) all_53_8 = all_52_5
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_4,
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | all_52_3, e2, e3, simplifying with (171), (12155)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | (12163) all_53_4 = all_52_3
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_52_1,
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (12133), (12156) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | (12164) all_52_1 = e3
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12113), (12163) imply:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | (12165) ~ (all_52_3 = e2)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | (12166) ~ (all_30_2 = e1)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (330), (12166) imply:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | (12167) ~ (all_4_2 = e1)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | (12168) all_55_15 = e3
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (12168) imply:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | (12169) all_4_2 = e3
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12101), (12169) imply:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | (12170) $false
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12170) is inconsistent.
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | (12171) ~ (all_55_15 = e3)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | (12172) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12172) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (12173) all_55_15 = e2
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (12173) imply:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (12174) all_4_2 = e2
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (12174) imply:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (12175) $false
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12175) is inconsistent.
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (12176) ~ (all_55_15 = e2)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (12177) all_55_15 = e1 | all_55_15 = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12177) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12178) all_55_15 = e1
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (12178) imply:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12179) all_4_2 = e1
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12167), (12179) imply:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12180) $false
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12180) is inconsistent.
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12181) all_55_15 = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (12181) imply:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12182) all_4_2 = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (12182) imply:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12183) ~ (all_53_3 = e0)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12101), (12182) imply:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12184) ~ (e3 = e0)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (12182) imply:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12185) ~ (e2 = e0)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12167), (12182) imply:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12186) ~ (e1 = e0)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (12182) imply:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12187) op(e0, e0) = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12188) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_7 = e2
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12188) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12189) all_57_6 = e2 & op(e1, e3) = e2
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12189) implies:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12190) all_57_6 = e2
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12191) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12191) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12192) all_57_0 = e0 & op(e3, e3) = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12192) implies:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12193) op(e3, e3) = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12133), (12193), (function-axioms) are
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2494.
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12194) all_57_2 = e0 & op(e2, e3) = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12194) implies:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12195) all_57_2 = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12196) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (12123), (12195), (12196),
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1152.
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12197) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12197) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12198) all_57_5 = e1 & op(e2, e1) = e1
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12198) implies:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12199) all_57_5 = e1
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12200) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12200) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12201) all_57_9 = e2 & op(e3, e0) = e2
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12201) implies:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12202) all_57_9 = e2
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12203) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (12133), (12155), (12159), (12187),
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12203), (function-axioms) are inconsistent by
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #266.
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12204) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12204) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12205) all_57_4 = e0 & op(e3, e1) = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12205) implies:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12206) op(e3, e1) = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12154), (12158), (12187), (12206),
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2167.
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12207) all_57_9 = e0 & op(e3, e0) = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12207) implies:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12208) all_57_9 = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12202), (12208) imply:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12209) e2 = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12122), (12209) imply:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12210) all_57_3 = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (224), (12138), (12195), (12199),
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12210) are inconsistent by sub-proof #2249.
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12211) all_57_10 = e2 & op(e2, e0) = e2
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12117), (12211), (function-axioms) are
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2432.
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12212) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (36), (161), (169),
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (213), (231), (373), (12090), (12133),
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12148), (12154), (12155), (12158), (12159),
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12187), (12212), (function-axioms) are
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #174.
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12213) all_57_10 = e1 & op(e2, e0) = e1
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12213) implies:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12214) all_57_10 = e1
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (161), (169), (213), (12090), (12148),
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12187), (12214), (function-axioms) are
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2302.
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12215) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12215) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12216) all_57_6 = e0 & op(e1, e3) = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12216) implies:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12217) all_57_6 = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12190), (12217) are inconsistent by
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1846.
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12218) all_57_12 = e0 & op(e0, e3) = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12218) implies:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12219) op(e0, e3) = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (12183), (12219), (function-axioms) are
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2366.
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12220) all_57_7 = e2 & op(e1, e2) = e2
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (12114), (12220), (function-axioms) are
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #173.
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12221) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_11 =
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12221) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12222) all_57_8 = e2 & op(e1, e1) = e2
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12096), (12222) are inconsistent by
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #172.
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12223) all_57_11 = e2 & op(e1, e0) = e2
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12223) implies:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12224) all_57_11 = e2
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (161), (169), (211),
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (231), (12090), (12133), (12148), (12154),
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12155), (12158), (12159), (12187), (12224),
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #175.
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | (12225) all_30_2 = e1
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (12225) imply:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | (12226) all_4_2 = e1
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (12226) imply:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | (12227) ~ (all_53_3 = e1)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (12226) imply:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | (12228) ~ (all_53_14 = e1)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12101), (12226) imply:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | (12229) ~ (e3 = e1)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (12226) imply:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | (12230) ~ (e2 = e1)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (12226) imply:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | (12231) op(e0, e0) = e1
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | (12232) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (171), (12113), (12123), (12156), (12160),
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | (12232), (function-axioms) are inconsistent by
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #341.
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | (12233) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12233) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (12234) all_57_4 = e2 & op(e3, e1) = e2
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12234) implies:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | (12235) all_57_4 = e2
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12236) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (169), (231),
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (237), (12117), (12148), (12235), (12236),
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | #171.
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12237) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12237) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12238) all_57_11 = e2 & op(e1, e0) = e2
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12238) implies:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12239) all_57_11 = e2
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12240) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12240) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12241) all_57_4 = e1 & op(e3, e1) = e1
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12241) implies:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12242) all_57_4 = e1
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12235), (12242) are inconsistent by
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2430.
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12243) all_57_5 = e1 & op(e2, e1) = e1
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12243) implies:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12244) all_57_5 = e1
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12245) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12245) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12246) all_57_4 = e0 & op(e3, e1) = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12246) implies:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12247) all_57_4 = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12235), (12247) are inconsistent by
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2441.
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12248) all_57_5 = e0 & op(e2, e1) = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12244), (12248) are inconsistent by
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #942.
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12249) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12249) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12250) all_57_8 = e0 & op(e1, e1) = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12096), (12250) are inconsistent by
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #170.
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12251) all_57_14 = e0 & op(e0, e1) = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12251) implies:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12252) all_57_14 = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12253) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12253) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12254) all_57_2 = e0 & op(e2, e3) = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12254) implies:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12255) all_57_2 = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12256) all_57_15 = e0 & op(e0, e0) = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12256) implies:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12257) all_57_15 = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12258) op(e0, e0) = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (208), (209),
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (12227), (12252), (12257), (12258),
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #320.
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12259) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12259) implies:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12260) (all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 & op(e1,
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12260) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12261) all_57_9 = e0 & op(e3, e0) = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12261) implies:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12262) op(e3, e0) = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12153), (12157), (12231), (12262),
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2000.
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12263) (all_57_10 = e0 & op(e2, e0) = e0) | (all_57_11 =
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12263) gives:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12264) all_57_10 = e0 & op(e2, e0) = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12138), (12264) are inconsistent by
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1981.
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12265) all_57_11 = e0 & op(e1, e0) = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12265) implies:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12266) all_57_11 = e0
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12239), (12266) imply:
% 223.74/38.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12267) e2 = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12122), (12267) imply:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12268) all_57_3 = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (223), (224), (12138),
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12255), (12268) are inconsistent by sub-proof
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2247.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12269) all_57_3 = e0 & op(e2, e2) = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12269) implies:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12270) op(e2, e2) = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12123), (12270), (function-axioms) are
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2472.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12271) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12271) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12272) all_57_5 = e0 & op(e2, e1) = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12244), (12272) are inconsistent by
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #942.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12273) all_57_10 = e0 & op(e2, e0) = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12138), (12273) are inconsistent by
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1981.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12274) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12274) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12275) all_57_8 = e1 & op(e1, e1) = e1
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12096), (12275) are inconsistent by
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #169.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12276) all_57_14 = e1 & op(e0, e1) = e1
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12276) implies:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12277) all_57_14 = e1
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (207), (209),
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (12115), (12231), (12277),
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2175.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12278) all_57_15 = e2 & op(e0, e0) = e2
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12278) implies:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12279) op(e0, e0) = e2
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12231), (12279), (function-axioms) are
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2177.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (12280) all_57_9 = e2 & op(e3, e0) = e2
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12280) implies:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (12281) all_57_9 = e2
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (12282) op(e3, e0) = e2
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12283) all_57_15 = e0 & op(e0, e0) = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12283) implies:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12284) op(e0, e0) = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12231), (12284), (function-axioms) are
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2290.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12285) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12285) implies:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12286) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12287) (all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 & op(e1,
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12287) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12288) all_57_9 = e0 & op(e3, e0) = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12288) implies:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12289) op(e3, e0) = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12153), (12157), (12231), (12289),
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2000.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12290) (all_57_10 = e0 & op(e2, e0) = e0) | (all_57_11 =
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12290) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12291) all_57_10 = e0 & op(e2, e0) = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12291) implies:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12292) all_57_10 = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12138), (12292) are inconsistent by
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1989.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12293) all_57_11 = e0 & op(e1, e0) = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12293) implies:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12294) all_57_11 = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12295) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_7 = e2
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12295) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12296) all_57_6 = e2 & op(e1, e3) = e2
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12296) implies:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12297) all_57_6 = e2
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12298) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12298) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12299) all_57_0 = e1 & op(e3, e3) = e1
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12299) implies:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12300) op(e3, e3) = e1
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12133), (12300), (function-axioms) are
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12301) all_57_2 = e1 & op(e2, e3) = e1
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12301) implies:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12302) all_57_2 = e1
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12303) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (12123), (12302), (12303),
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2457.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12304) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12304) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12305) all_57_5 = e0 & op(e2, e1) = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12305) implies:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12306) all_57_5 = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12307) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (12133), (12302), (12307),
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2466.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12308) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12308) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12309) all_57_6 = e0 & op(e1, e3) = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12297), (12309) are inconsistent by
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2386.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12310) all_57_12 = e0 & op(e0, e3) = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12310) implies:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12311) all_57_12 = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12312) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_5 = e2
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (166), (169), (231),
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (237), (12116), (12148), (12281), (12312),
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #287.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12313) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_14 =
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12313) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12314) all_57_8 = e2 & op(e1, e1) = e2
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12096), (12314) are inconsistent by
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #172.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12315) all_57_14 = e2 & op(e0, e1) = e2
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12315) implies:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12316) all_57_14 = e2
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12317) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12317) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12318) all_57_6 = e1 & op(e1, e3) = e1
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12318) implies:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12319) all_57_6 = e1
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12297), (12319) imply:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12320) e2 = e1
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12316), (12320) imply:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12321) all_57_14 = e1
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12322) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (12144), (12311), (12322) are
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2061.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12323) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12231), (12321), (12323), (function-axioms)
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2176.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12324) all_57_7 = e1 & op(e1, e2) = e1
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12324) implies:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12325) all_57_7 = e1
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12326) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12326) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12327) all_57_1 = e0 & op(e3, e2) = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12327) implies:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12328) op(e3, e2) = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12286) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e2,
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (12153), (12282) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12329) all_52_7 = e2
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (12155), (12328) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12330) all_52_3 = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12165), (12330) imply:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12331) ~ (e2 = e0)
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12157), (12329) imply:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12332) op(e2, e2) = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12123), (12332), (function-axioms) are
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2472.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12333) (all_57_13 = e0 & op(e0, e2) = e0) | (all_57_14 =
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12333) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12334) all_57_13 = e0 & op(e0, e2) = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12334) implies:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12335) all_57_13 = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12144), (12335) are inconsistent by
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2184.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12336) all_57_14 = e0 & op(e0, e1) = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (159), (209), (230),
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (12115), (12133), (12231), (12297),
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12336), (function-axioms) are inconsistent by
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1960.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12337) all_57_3 = e0 & op(e2, e2) = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12337) implies:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12338) all_57_3 = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12339) op(e2, e2) = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12138), (12306), (12338), (12339),
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2348.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12340) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12340) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12341) all_57_7 = e0 & op(e1, e2) = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12341) implies:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12342) all_57_7 = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12325), (12342) are inconsistent by
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2211.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12343) all_57_13 = e0 & op(e0, e2) = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12343) implies:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12344) all_57_13 = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12144), (12344) are inconsistent by
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2184.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12345) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12345) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12346) all_57_8 = e1 & op(e1, e1) = e1
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12096), (12346) are inconsistent by
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #168.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12347) all_57_11 = e1 & op(e1, e0) = e1
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (12228), (12347), (function-axioms) are
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #305.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12348) all_57_10 = e0 & op(e2, e0) = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12348) implies:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12349) all_57_10 = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12138), (12349) are inconsistent by
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1989.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12350) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12350) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12351) all_57_6 = e1 & op(e1, e3) = e1
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12351) implies:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12352) all_57_6 = e1
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12297), (12352) are inconsistent by
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2233.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12353) all_57_12 = e1 & op(e0, e3) = e1
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (12227), (12353), (function-axioms) are
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1947.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12354) all_57_7 = e2 & op(e1, e2) = e2
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (12114), (12354), (function-axioms) are
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #173.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12355) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_11 =
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12355) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12356) all_57_8 = e2 & op(e1, e1) = e2
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12096), (12356) are inconsistent by
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #172.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12357) all_57_11 = e2 & op(e1, e0) = e2
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12294), (12357) are inconsistent by
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1988.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | (12358) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12358) implies:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | (12359) op(e2, e0) = all_52_15
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | (12360) op(all_52_15, all_52_15) = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | all_52_15, e0, e2, simplifying with (12139),
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | (12359) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | (12361) all_52_15 = e3
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12360), (12361) imply:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | (12362) op(e3, e3) = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12133), (12362), (function-axioms) are
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2494.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | (12363) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (12097), (12099), (12133), (12145),
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | (12363), (function-axioms) are inconsistent by
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | | sub-proof #166.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | (12364) all_55_0 = e2 | all_55_0 = e1 | all_55_0 = e0
% 223.74/38.22 | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | REF_CLOSE: (277), (12099), (12125), (12127), (12364) are
% 223.74/38.22 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1953.
% 223.74/38.22 | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | (12365) all_20_2 = e2
% 223.74/38.22 | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | COMBINE_EQS: (299), (12365) imply:
% 223.74/38.22 | | | | | | | | | | | | | | | | (12366) all_10_2 = e2
% 223.74/38.22 | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | SIMP: (12366) implies:
% 223.74/38.22 | | | | | | | | | | | | | | | | (12367) all_10_2 = e2
% 223.74/38.22 | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | REDUCE: (348), (12367) imply:
% 223.74/38.22 | | | | | | | | | | | | | | | | (12368) ~ (all_53_12 = e2)
% 223.74/38.22 | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | REDUCE: (45), (12367) imply:
% 223.74/38.22 | | | | | | | | | | | | | | | | (12369) op(e3, e3) = e2
% 223.74/38.22 | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.22 | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | (12370) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_5 = e2
% 223.74/38.22 | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 223.74/38.22 | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | BETA: splitting (12370) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.22 | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | (12371) all_57_4 = e2 & op(e3, e1) = e2
% 223.74/38.22 | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (237),
% 223.74/38.22 | | | | | | | | | | | | | | | | | | (12369), (12371), (function-axioms) are
% 223.74/38.22 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #226.
% 223.74/38.22 | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | (12372) all_57_5 = e2 & op(e2, e1) = e2
% 223.74/38.22 | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (12116), (12372), (function-axioms) are
% 223.74/38.22 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1858.
% 223.74/38.22 | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | End of split
% 223.74/38.22 | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | (12373) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_14 =
% 223.74/38.22 | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 223.74/38.22 | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | BETA: splitting (12373) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.22 | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | (12374) all_57_8 = e2 & op(e1, e1) = e2
% 223.74/38.22 | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12096), (12374) are inconsistent by
% 223.74/38.22 | | | | | | | | | | | | | | | | | | sub-proof #165.
% 223.74/38.22 | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | (12375) all_57_14 = e2 & op(e0, e1) = e2
% 223.74/38.22 | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | ALPHA: (12375) implies:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | (12376) op(e0, e1) = e2
% 223.74/38.22 | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | (12377) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 223.74/38.22 | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (12117), (12368), (12377),
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | #1952.
% 223.74/38.22 | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | (12378) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 223.74/38.22 | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | BETA: splitting (12378) gives:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | (12379) all_57_11 = e2 & op(e1, e0) = e2
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | ALPHA: (12379) implies:
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | | (12380) op(e1, e0) = e2
% 223.74/38.22 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_11,
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (158), (12376) gives:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | (12381) all_53_11 = e2
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_14,
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (161), (12380) gives:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | (12382) all_53_14 = e2
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (12381) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | (12383) ~ (all_53_3 = e2)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (12382) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | (12384) ~ (all_4_2 = e2)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | (12385) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12385) gives:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | (12386) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12386) implies:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | (12387) op(e3, e3) = all_52_1
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | (12388) op(all_52_1, all_52_1) = e3
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12123), (12369), (12387), (12388),
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | #1951.
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | (12389) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12389) implies:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | (12390) op(e2, e0) = all_52_15
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | (12391) op(e2, e3) = all_52_9
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | (12392) op(all_52_15, all_52_15) = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | (12393) op(all_52_9, all_52_9) = e3
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_13,
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | all_52_15, e0, e2, simplifying with (165), (12390)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | gives:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | (12394) all_53_13 = all_52_15
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_1,
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | all_52_9, e3, e2, simplifying with (168), (12391)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | gives:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | (12395) all_53_1 = all_52_9
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (12394) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | (12396) all_55_7 = all_52_15
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (12395) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | (12397) all_55_4 = all_52_9
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (12395) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | (12398) ~ (all_53_3 = all_52_9)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | SIMP: (12398) implies:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | (12399) ~ (all_53_3 = all_52_9)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12112), (12395) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | (12400) ~ (all_52_9 = e2)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (12394) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | (12401) ~ (all_52_15 = all_4_2)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12117), (12394) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | (12402) ~ (all_52_15 = e2)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | (12403) ~ (all_30_2 = e1)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (330), (12403) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | (12404) ~ (all_4_2 = e1)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | (12405) all_55_15 = e3
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (12405) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | (12406) all_4_2 = e3
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12101), (12406) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | (12407) $false
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12407) is inconsistent.
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | (12408) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12408) gives:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | (12409) all_55_15 = e2
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (12409) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | (12410) all_4_2 = e2
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (12410) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | (12411) $false
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12411) is inconsistent.
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | (12412) all_55_15 = e1 | all_55_15 = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12412) gives:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (12413) all_55_15 = e1
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (12413) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (12414) all_4_2 = e1
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12404), (12414) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (12415) $false
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12415) is inconsistent.
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (12416) all_55_15 = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (12416) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (12417) all_4_2 = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (12417) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (12418) ~ (all_53_3 = e0)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (12417) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (12419) ~ (all_53_7 = e0)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (12417) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (12420) op(e0, e0) = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12421) all_55_13 = e3
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (12421) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12422) all_53_7 = e3
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (12422) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12423) ~ (all_53_3 = e3)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12424) all_55_12 = e3
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (12423), (12424) are inconsistent by
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2001.
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12425) all_55_12 = e2 | all_55_12 = e1 | all_55_12 = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12425) gives:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12426) all_55_12 = e2
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (12383), (12426) are inconsistent by
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1337.
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12427) all_55_12 = e1 | all_55_12 = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12427) gives:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12428) all_55_12 = e1
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (12428) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12429) all_53_3 = e1
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12399), (12429) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12430) ~ (all_52_9 = e1)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12430) implies:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12431) ~ (all_52_9 = e1)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12432) all_55_4 = e3
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12397), (12432) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12433) all_52_9 = e3
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12433) implies:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12434) all_52_9 = e3
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12393), (12434) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12435) op(e3, e3) = e3
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12369), (12435), (function-axioms) are
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2490.
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12436) ~ (all_55_4 = e3)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12437) all_55_4 = e2 | all_55_4 = e1 | all_55_4 = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12397), (12436) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12438) ~ (all_52_9 = e3)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12393), (12397), (12400), (12420), (12431),
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12437), (12438), (function-axioms) are
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #343.
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12439) all_55_12 = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (12439) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12440) all_53_3 = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12418), (12440) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12441) $false
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12441) is inconsistent.
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12442) all_55_13 = e2 | all_55_13 = e1 | all_55_13 = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12442) gives:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12443) all_55_13 = e2
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (12443) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12444) all_53_7 = e2
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12115), (12444) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12445) $false
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12445) is inconsistent.
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12446) all_55_13 = e1 | all_55_13 = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12446) gives:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12447) all_55_13 = e1
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (12447) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12448) all_53_7 = e1
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (12448) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12449) ~ (all_53_6 = e1)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12450) all_55_9 = e3
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (12086), (12450) are inconsistent by
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2159.
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12451) ~ (all_55_9 = e3)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12452) all_55_9 = e2 | all_55_9 = e1 | all_55_9 = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12452) gives:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12453) all_55_9 = e2
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (12453) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12454) all_53_6 = e2
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12114), (12454) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12455) $false
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12455) is inconsistent.
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12456) ~ (all_55_9 = e2)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12457) all_55_9 = e1 | all_55_9 = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12457) gives:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12458) all_55_9 = e1
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (12458) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12459) all_53_6 = e1
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12449), (12459) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12460) $false
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12460) is inconsistent.
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12461) all_55_9 = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (12461) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12462) all_53_6 = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (12462) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12463) ~ (all_53_2 = e0)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12086), (12462) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12464) ~ (e3 = e0)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12114), (12462) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12465) ~ (e2 = e0)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (160), (164), (168), (230), (12369),
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12391), (12393), (12418), (12420), (12463),
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1571.
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12466) all_55_13 = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (12466) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12467) all_53_7 = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12419), (12467) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12468) $false
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12468) is inconsistent.
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | (12469) all_30_2 = e1
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | (12470) ( ~ (all_30_0 = e2) & op(all_30_1, e0) = all_30_0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_30_1 & $i(all_30_0) &
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)) | ( ~ (all_30_1 = e3) & op(e0, e1)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | = all_30_1 & $i(all_30_1))
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (12469) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | (12471) all_4_2 = e1
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (295), (12471) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | (12472) all_40_2 = e1
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12401), (12471) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | (12473) ~ (all_52_15 = e1)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (12471) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | (12474) op(e0, e0) = e1
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | (12475) ~ (all_40_2 = e1)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12472), (12475) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | (12476) $false
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12476) is inconsistent.
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | (12477) ( ~ (all_40_0 = e3) & op(all_40_1, e0) = all_40_0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_40_1 & $i(all_40_0) &
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)) | ( ~ (all_40_1 = e2) & op(e0, e1)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | = all_40_1 & $i(all_40_1))
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12470) gives:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | (12478) ~ (all_30_0 = e2) & op(all_30_1, e0) = all_30_0 &
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_30_1 & $i(all_30_0) &
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12478) implies:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | (12479) op(e0, e1) = all_30_1
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (198), (12376), (12390), (12392), (12396),
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | (12402), (12470), (12473), (12474), (12477),
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | (12479), (function-axioms) are inconsistent by
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #163.
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | (12480) ~ (all_30_1 = e3) & op(e0, e1) = all_30_1 &
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12480) implies:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | (12481) op(e0, e1) = all_30_1
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (198), (12376), (12390), (12392), (12396),
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | (12402), (12470), (12473), (12474), (12477),
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | (12481), (function-axioms) are inconsistent by
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #163.
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | (12482) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (12123), (12376), (12380), (12482),
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | #1944.
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | (12483) all_57_15 = e2 & op(e0, e0) = e2
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | ALPHA: (12483) implies:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | (12484) op(e0, e0) = e2
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (12484), (function-axioms) are
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2334.
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.23 | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.23 | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | End of split
% 223.74/38.23 | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | End of split
% 223.74/38.23 | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | End of split
% 223.74/38.23 | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | Case 2:
% 223.74/38.23 | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | (12485) all_18_2 = e0
% 223.74/38.23 | | | | | | | | | | | | | | | (12486) ( ~ (all_18_0 = e1) & op(all_18_1, e3) = all_18_0
% 223.74/38.23 | | | | | | | | | | | | | | | & op(e3, e0) = all_18_1 & $i(all_18_0) &
% 223.74/38.23 | | | | | | | | | | | | | | | $i(all_18_1)) | ( ~ (all_18_1 = e2) & op(e3, e0)
% 223.74/38.23 | | | | | | | | | | | | | | | = all_18_1 & $i(all_18_1))
% 223.74/38.23 | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | COMBINE_EQS: (327), (12485) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | (12487) all_10_2 = e0
% 223.74/38.23 | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | COMBINE_EQS: (279), (12487) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | (12488) all_48_2 = e0
% 223.74/38.23 | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | REDUCE: (338), (12487) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | (12489) ~ (all_53_1 = e0)
% 223.74/38.23 | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | REDUCE: (342), (12487) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | (12490) ~ (all_53_3 = e0)
% 223.74/38.23 | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | REDUCE: (344), (12487) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | (12491) ~ (all_53_4 = e0)
% 223.74/38.23 | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | REDUCE: (346), (12487) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | (12492) ~ (all_53_8 = e0)
% 223.74/38.23 | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | REDUCE: (348), (12487) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | (12493) ~ (all_53_12 = e0)
% 223.74/38.23 | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | REDUCE: (12099), (12487) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | (12494) ~ (e1 = e0)
% 223.74/38.23 | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | REDUCE: (45), (12487) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | (12495) op(e3, e3) = e0
% 223.74/38.23 | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 223.74/38.23 | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | Case 1:
% 223.74/38.23 | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | (12496) ~ (all_30_2 = e1)
% 223.74/38.23 | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | REDUCE: (330), (12496) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | (12497) ~ (all_4_2 = e1)
% 223.74/38.23 | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 223.74/38.23 | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.23 | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | (12498) all_55_15 = e3
% 223.74/38.23 | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (12101), (12498) are inconsistent by
% 223.74/38.23 | | | | | | | | | | | | | | | | | sub-proof #2503.
% 223.74/38.23 | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.23 | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | (12499) ~ (all_55_15 = e3)
% 223.74/38.23 | | | | | | | | | | | | | | | | | (12500) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | BETA: splitting (12500) gives:
% 223.74/38.23 | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.23 | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | (12501) all_55_15 = e2
% 223.74/38.23 | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (12501) are inconsistent by
% 223.74/38.23 | | | | | | | | | | | | | | | | | | sub-proof #2502.
% 223.74/38.23 | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.23 | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | (12502) ~ (all_55_15 = e2)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | (12503) all_55_15 = e1 | all_55_15 = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | BETA: splitting (12503) gives:
% 223.74/38.23 | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | (12504) all_55_15 = e1
% 223.74/38.23 | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (12497), (12504) are inconsistent by
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | sub-proof #2501.
% 223.74/38.23 | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | (12505) all_55_15 = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (12505) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | (12506) all_4_2 = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | SIMP: (12506) implies:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | (12507) all_4_2 = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | REDUCE: (362), (12507) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | (12508) ~ (all_53_7 = e0)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | REDUCE: (371), (12507) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | (12509) ~ (all_53_13 = e0)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | REDUCE: (372), (12507) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | (12510) ~ (all_53_14 = e0)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | REDUCE: (12101), (12507) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | (12511) ~ (e3 = e0)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | REDUCE: (373), (12507) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | (12512) ~ (e2 = e0)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | REDUCE: (36), (12507) imply:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | (12513) op(e0, e0) = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | (12514) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | BETA: splitting (12514) gives:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | (12515) all_57_4 = e0 & op(e3, e1) = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | ALPHA: (12515) implies:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | (12516) op(e3, e1) = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (12492), (12516), (function-axioms) are
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | (12517) all_57_5 = e0 & op(e2, e1) = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | ALPHA: (12517) implies:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | (12518) op(e2, e1) = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | (12519) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (171), (12123), (12491), (12519),
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | #1940.
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | (12520) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12520) gives:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | (12521) all_57_7 = e0 & op(e1, e2) = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12521) implies:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | (12522) op(e1, e2) = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_6, e0,
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (163), (12522) gives:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | (12523) all_53_6 = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_9, e0,
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (166), (12518) gives:
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | | (12524) all_53_9 = e0
% 223.74/38.23 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (12523) imply:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | (12525) ~ (all_53_2 = e0)
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (12523) imply:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | (12526) ~ (all_53_14 = e0)
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (12524) imply:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | (12527) ~ (all_53_13 = e0)
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | (12528) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (12495), (12513), (12518), (12528),
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | #1938.
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | (12529) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12529) gives:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | (12530) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12530) implies:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | (12531) op(e1, e2) = all_52_19
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | (12532) op(all_52_19, all_52_19) = e2
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12513), (12522), (12531), (12532),
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | #2158.
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | (12533) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12533) implies:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | (12534) op(e0, e3) = all_52_25
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | (12535) op(all_52_25, all_52_25) = e3
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_3,
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_25, e3, e0, simplifying with (160), (12534)
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | (12536) all_53_3 = all_52_25
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (12536) imply:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | (12537) all_55_12 = all_52_25
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (12536) imply:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | (12538) ~ (all_53_1 = all_52_25)
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (12536) imply:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | (12539) ~ (all_53_2 = all_52_25)
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12490), (12536) imply:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | (12540) ~ (all_52_25 = e0)
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (12541) all_55_4 = e3
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (12541) imply:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (12542) all_53_1 = e3
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12542) implies:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (12543) all_53_1 = e3
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (12543) imply:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (12544) ~ (all_53_2 = e3)
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (12543) imply:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (12545) ~ (all_53_13 = e3)
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12545) implies:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (12546) ~ (all_53_13 = e3)
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12538), (12543) imply:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (12547) ~ (all_52_25 = e3)
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12547) implies:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (12548) ~ (all_52_25 = e3)
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12549) all_55_7 = e3
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (12546), (12549) are inconsistent by
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2109.
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12550) all_55_7 = e2 | all_55_7 = e1 | all_55_7 = e0
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12550) gives:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12551) all_55_7 = e2
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (12117), (12551) are inconsistent by
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2171.
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12552) all_55_7 = e1 | all_55_7 = e0
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12552) gives:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12553) all_55_7 = e1
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (12553) imply:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12554) all_53_13 = e1
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12554) implies:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12555) all_53_13 = e1
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (12555) imply:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12556) ~ (all_53_14 = e1)
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12556) implies:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12557) ~ (all_53_14 = e1)
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12558) all_55_11 = e3
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (12090), (12558) are inconsistent by
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2497.
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12559) all_55_11 = e2 | all_55_11 = e1 | all_55_11 = e0
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12559) gives:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12560) all_55_11 = e2
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (12560) imply:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12561) all_53_14 = e2
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12561) implies:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12562) all_53_14 = e2
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (142), (12562) imply:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12563) ~ (all_53_2 = e2)
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12564) all_55_8 = e3
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (12085), (12564) are inconsistent by
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2496.
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12565) all_55_8 = e2 | all_55_8 = e1 | all_55_8 = e0
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12565) gives:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12566) all_55_8 = e2
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (12566) imply:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12567) all_53_2 = e2
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12563), (12567) imply:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12568) $false
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12568) is inconsistent.
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12569) all_55_8 = e1 | all_55_8 = e0
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12569) gives:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12570) all_55_8 = e1
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (12570) imply:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12571) all_53_2 = e1
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12571) implies:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12572) all_53_2 = e1
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12539), (12572) imply:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12573) ~ (all_52_25 = e1)
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12573) implies:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12574) ~ (all_52_25 = e1)
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (193), (12123), (12535), (12537), (12540),
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12548), (12574), (function-axioms) are
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #322.
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12575) all_55_8 = e0
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (12525), (12575) are inconsistent by
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1997.
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12576) all_55_11 = e1 | all_55_11 = e0
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (12510), (12557), (12576) are inconsistent
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2307.
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12577) all_55_7 = e0
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (12509), (12577) are inconsistent by
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2130.
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (12578) all_55_4 = e2 | all_55_4 = e1 | all_55_4 = e0
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12578) gives:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12579) all_55_4 = e2
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (12112), (12579) are inconsistent by
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2168.
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12580) all_55_4 = e1 | all_55_4 = e0
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12580) gives:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12581) all_55_4 = e1
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (12581) imply:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12582) all_53_1 = e1
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12582) implies:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12583) all_53_1 = e1
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (12583) imply:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12584) ~ (all_53_2 = e1)
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12584) implies:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12585) ~ (all_53_2 = e1)
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12538), (12583) imply:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12586) ~ (all_52_25 = e1)
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12586) implies:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12587) ~ (all_52_25 = e1)
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12588) all_55_8 = e3
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (12085), (12588) are inconsistent by
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2496.
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12589) all_55_8 = e2 | all_55_8 = e1 | all_55_8 = e0
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12589) gives:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12590) all_55_8 = e2
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (12590) imply:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12591) all_53_2 = e2
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12591) implies:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12592) all_53_2 = e2
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12539), (12592) imply:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12593) ~ (all_52_25 = e2)
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12593) implies:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12594) ~ (all_52_25 = e2)
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12595) all_55_12 = e3
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12537), (12595) imply:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12596) all_52_25 = e3
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12596) implies:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12597) all_52_25 = e3
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12535), (12597) imply:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12598) op(e3, e3) = e3
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12495), (12598), (function-axioms) are
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2494.
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12599) all_55_12 = e2 | all_55_12 = e1 | all_55_12 = e0
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12537), (12540), (12587), (12594), (12599) are
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1563.
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12600) all_55_8 = e1 | all_55_8 = e0
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (12525), (12585), (12600) are inconsistent
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1974.
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12601) all_55_4 = e0
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (12489), (12601) are inconsistent by
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1865.
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | (12602) all_57_13 = e0 & op(e0, e2) = e0
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12602) implies:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | (12603) op(e0, e2) = e0
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (12508), (12603), (function-axioms) are
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2332.
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | (12604) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | BETA: splitting (12604) gives:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | (12605) all_57_8 = e0 & op(e1, e1) = e0
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12096), (12605) are inconsistent by
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | sub-proof #162.
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | (12606) all_57_14 = e0 & op(e0, e1) = e0
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | ALPHA: (12606) implies:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | (12607) all_57_14 = e0
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | (12608) all_57_15 = e0 & op(e0, e0) = e0
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12608) implies:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | (12609) all_57_15 = e0
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (159), (208),
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | (209), (210), (373), (12115), (12513), (12607),
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | (12609), (function-axioms) are inconsistent by
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2120.
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | (12610) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (165), (169), (12493), (12509), (12510),
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | (12610), (function-axioms) are inconsistent by
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2112.
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | Case 2:
% 223.74/38.24 | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | (12611) all_30_2 = e1
% 223.74/38.24 | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (12611) imply:
% 223.74/38.24 | | | | | | | | | | | | | | | | (12612) all_4_2 = e1
% 223.74/38.24 | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | SIMP: (12612) implies:
% 223.74/38.24 | | | | | | | | | | | | | | | | (12613) all_4_2 = e1
% 223.74/38.24 | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | REDUCE: (351), (12613) imply:
% 223.74/38.24 | | | | | | | | | | | | | | | | (12614) ~ (all_53_3 = e1)
% 223.74/38.24 | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | REDUCE: (12101), (12613) imply:
% 223.74/38.24 | | | | | | | | | | | | | | | | (12615) ~ (e3 = e1)
% 223.74/38.24 | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | REDUCE: (373), (12613) imply:
% 223.74/38.24 | | | | | | | | | | | | | | | | (12616) ~ (e2 = e1)
% 223.74/38.24 | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | REDUCE: (36), (12613) imply:
% 223.74/38.24 | | | | | | | | | | | | | | | | (12617) op(e0, e0) = e1
% 223.74/38.24 | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 223.74/38.24 | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.24 | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | (12618) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.74/38.24 | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.74/38.24 | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.74/38.24 | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.74/38.24 | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.74/38.24 | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.74/38.24 | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.74/38.24 | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 223.74/38.24 | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 223.74/38.24 | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 223.74/38.24 | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 223.74/38.24 | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 223.74/38.24 | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 223.74/38.24 | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 223.74/38.24 | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 223.74/38.24 | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | BETA: splitting (12618) gives:
% 223.74/38.24 | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.24 | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | (12619) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.74/38.24 | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 223.74/38.24 | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | ALPHA: (12619) implies:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | (12620) op(e3, e3) = all_52_1
% 223.74/38.24 | | | | | | | | | | | | | | | | | | (12621) op(all_52_1, all_52_1) = e3
% 223.74/38.24 | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (160), (207),
% 223.74/38.24 | | | | | | | | | | | | | | | | | | (208), (209), (210), (12115), (12490), (12495),
% 223.74/38.24 | | | | | | | | | | | | | | | | | | (12614), (12617), (12620), (12621),
% 223.74/38.24 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.24 | | | | | | | | | | | | | | | | | | #1915.
% 223.74/38.24 | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.24 | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | (12622) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 223.74/38.24 | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 223.74/38.24 | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 223.74/38.24 | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | ALPHA: (12622) implies:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | (12623) op(e2, e0) = all_52_15
% 223.74/38.24 | | | | | | | | | | | | | | | | | | (12624) op(e2, e3) = all_52_9
% 223.74/38.24 | | | | | | | | | | | | | | | | | | (12625) op(all_52_15, all_52_15) = e0
% 223.74/38.24 | | | | | | | | | | | | | | | | | | (12626) op(all_52_9, all_52_9) = e3
% 223.74/38.24 | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (103), (159), (160),
% 223.74/38.24 | | | | | | | | | | | | | | | | | | (165), (168), (169), (201), (207), (208), (209),
% 223.74/38.24 | | | | | | | | | | | | | | | | | | (210), (212), (267), (12112), (12115), (12117),
% 223.74/38.24 | | | | | | | | | | | | | | | | | | (12486), (12488), (12489), (12490), (12493),
% 223.74/38.24 | | | | | | | | | | | | | | | | | | (12495), (12614), (12617), (12623), (12624),
% 223.74/38.24 | | | | | | | | | | | | | | | | | | (12625), (12626), (function-axioms) are
% 223.74/38.24 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1894.
% 223.74/38.24 | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.24 | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | (12627) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 223.74/38.24 | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 223.74/38.24 | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.74/38.24 | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 223.74/38.24 | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 223.74/38.24 | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 223.74/38.24 | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 223.74/38.24 | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 223.74/38.24 | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 223.74/38.24 | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 223.74/38.24 | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.74/38.24 | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 223.74/38.24 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 223.74/38.24 | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 223.74/38.24 | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 223.74/38.24 | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 223.74/38.24 | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | BETA: splitting (12627) gives:
% 223.74/38.24 | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.24 | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | (12628) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.74/38.24 | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 223.74/38.24 | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 223.74/38.24 | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 223.74/38.24 | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 223.74/38.24 | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | ALPHA: (12628) implies:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | (12629) op(e1, e1) = all_52_21
% 223.74/38.24 | | | | | | | | | | | | | | | | | | (12630) op(all_52_21, all_52_21) = e1
% 223.74/38.24 | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (12097), (12099), (12629), (12630),
% 223.74/38.24 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.24 | | | | | | | | | | | | | | | | | | #167.
% 223.74/38.24 | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.24 | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | (12631) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.74/38.24 | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 223.74/38.24 | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 223.74/38.24 | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 223.74/38.24 | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 223.74/38.24 | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 223.74/38.24 | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | ALPHA: (12631) implies:
% 223.74/38.24 | | | | | | | | | | | | | | | | | | (12632) op(e0, e0) = all_52_31
% 223.74/38.24 | | | | | | | | | | | | | | | | | | (12633) op(all_52_31, all_52_31) = e0
% 223.74/38.24 | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12097), (12617), (12632), (12633),
% 223.74/38.24 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.24 | | | | | | | | | | | | | | | | | | #161.
% 223.74/38.24 | | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | Case 2:
% 223.74/38.24 | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | (12634) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 223.74/38.24 | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 223.74/38.24 | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | | REF_CLOSE: (159), (163), (12114), (12115), (12634),
% 223.74/38.24 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.24 | | | | | | | | | | | | | #160.
% 223.74/38.24 | | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | Case 2:
% 223.74/38.24 | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | (12635) all_55_5 = e1 | all_55_5 = e0
% 223.74/38.24 | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | | REF_CLOSE: (266), (12103), (12105), (12635) are inconsistent
% 223.74/38.24 | | | | | | | | | | | | by sub-proof #1857.
% 223.74/38.24 | | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | End of split
% 223.74/38.24 | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | Case 2:
% 223.74/38.24 | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | (12636) all_16_2 = e1
% 223.74/38.24 | | | | | | | | | | (12637) ( ~ (all_16_0 = e0) & op(all_16_1, e2) = all_16_0
% 223.74/38.24 | | | | | | | | | | & op(e2, e1) = all_16_1 & $i(all_16_0) &
% 223.74/38.24 | | | | | | | | | | $i(all_16_1)) | ( ~ (all_16_1 = e3) & op(e2, e1)
% 223.74/38.24 | | | | | | | | | | = all_16_1 & $i(all_16_1))
% 223.74/38.24 | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | COMBINE_EQS: (324), (12636) imply:
% 223.74/38.24 | | | | | | | | | | (12638) all_8_2 = e1
% 223.74/38.24 | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | COMBINE_EQS: (305), (12638) imply:
% 223.74/38.24 | | | | | | | | | | (12639) all_26_2 = e1
% 223.74/38.24 | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | REDUCE: (349), (12638) imply:
% 223.74/38.24 | | | | | | | | | | (12640) ~ (all_53_1 = e1)
% 223.74/38.24 | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | REDUCE: (356), (12638) imply:
% 223.74/38.24 | | | | | | | | | | (12641) ~ (all_53_7 = e1)
% 223.74/38.24 | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | REDUCE: (358), (12638) imply:
% 223.74/38.24 | | | | | | | | | | (12642) ~ (all_53_9 = e1)
% 223.74/38.24 | | | | | | | | | |
% 223.74/38.24 | | | | | | | | | | REDUCE: (360), (12638) imply:
% 223.74/38.24 | | | | | | | | | | (12643) ~ (all_53_13 = e1)
% 223.74/38.25 | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | REDUCE: (12098), (12638) imply:
% 223.74/38.25 | | | | | | | | | | (12644) ~ (e3 = e1)
% 223.74/38.25 | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | REDUCE: (42), (12638) imply:
% 223.74/38.25 | | | | | | | | | | (12645) op(e2, e2) = e1
% 223.74/38.25 | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | BETA: splitting (58) gives:
% 223.74/38.25 | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | (12646) ~ (all_18_2 = e0)
% 223.74/38.25 | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | REDUCE: (327), (12646) imply:
% 223.74/38.25 | | | | | | | | | | | (12647) ~ (all_10_2 = e0)
% 223.74/38.25 | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | BETA: splitting (61) gives:
% 223.74/38.25 | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | (12648) ~ (all_20_2 = e2)
% 223.74/38.25 | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | REDUCE: (299), (12648) imply:
% 223.74/38.25 | | | | | | | | | | | | (12649) ~ (all_10_2 = e2)
% 223.74/38.25 | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | BETA: splitting (205) gives:
% 223.74/38.25 | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | (12650) all_55_0 = e3
% 223.74/38.25 | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | COMBINE_EQS: (277), (12650) imply:
% 223.74/38.25 | | | | | | | | | | | | | (12651) all_10_2 = e3
% 223.74/38.25 | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | SIMP: (12651) implies:
% 223.74/38.25 | | | | | | | | | | | | | (12652) all_10_2 = e3
% 223.74/38.25 | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | REDUCE: (338), (12652) imply:
% 223.74/38.25 | | | | | | | | | | | | | (12653) ~ (all_53_1 = e3)
% 223.74/38.25 | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | REDUCE: (344), (12652) imply:
% 223.74/38.25 | | | | | | | | | | | | | (12654) ~ (all_53_4 = e3)
% 223.74/38.25 | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | REDUCE: (45), (12652) imply:
% 223.74/38.25 | | | | | | | | | | | | | (12655) op(e3, e3) = e3
% 223.74/38.25 | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | BETA: splitting (225) gives:
% 223.74/38.25 | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | (12656) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 223.74/38.25 | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 223.74/38.25 | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (12645), (12653), (12656),
% 223.74/38.25 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.25 | | | | | | | | | | | | | | #159.
% 223.74/38.25 | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | Case 2:
% 223.74/38.25 | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | (12657) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 223.74/38.25 | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 223.74/38.25 | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | BETA: splitting (12657) gives:
% 223.74/38.25 | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | (12658) all_57_5 = e3 & op(e2, e1) = e3
% 223.74/38.25 | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | REF_CLOSE: (166), (12088), (12658), (function-axioms) are
% 223.74/38.25 | | | | | | | | | | | | | | | inconsistent by sub-proof #270.
% 223.74/38.25 | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | Case 2:
% 223.74/38.25 | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | (12659) all_57_10 = e3 & op(e2, e0) = e3
% 223.74/38.25 | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | ALPHA: (12659) implies:
% 223.74/38.25 | | | | | | | | | | | | | | | (12660) all_57_10 = e3
% 223.74/38.25 | | | | | | | | | | | | | | | (12661) op(e2, e0) = e3
% 223.74/38.25 | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 223.74/38.25 | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | (12662) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 223.74/38.25 | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 223.74/38.25 | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | REF_CLOSE: (8), (171), (12645), (12654), (12662),
% 223.74/38.25 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.25 | | | | | | | | | | | | | | | | #1851.
% 223.74/38.25 | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | Case 2:
% 223.74/38.25 | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | (12663) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 223.74/38.25 | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 223.74/38.25 | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | BETA: splitting (12663) gives:
% 223.74/38.25 | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | (12664) all_57_7 = e3 & op(e1, e2) = e3
% 223.74/38.25 | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (12086), (12664), (function-axioms) are
% 223.74/38.25 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #267.
% 223.74/38.25 | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.25 | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | (12665) all_57_13 = e3 & op(e0, e2) = e3
% 223.74/38.25 | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | ALPHA: (12665) implies:
% 223.74/38.25 | | | | | | | | | | | | | | | | | (12666) all_57_13 = e3
% 223.74/38.25 | | | | | | | | | | | | | | | | | (12667) op(e0, e2) = e3
% 223.74/38.25 | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_7, e3,
% 223.74/38.25 | | | | | | | | | | | | | | | | | e2, e0, simplifying with (159), (12667) gives:
% 223.74/38.25 | | | | | | | | | | | | | | | | | (12668) all_53_7 = e3
% 223.74/38.25 | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_13,
% 223.74/38.25 | | | | | | | | | | | | | | | | | e3, e0, e2, simplifying with (165), (12661) gives:
% 223.74/38.25 | | | | | | | | | | | | | | | | | (12669) all_53_13 = e3
% 223.74/38.25 | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | REDUCE: (114), (12669) imply:
% 223.74/38.25 | | | | | | | | | | | | | | | | | (12670) ~ (all_53_12 = e3)
% 223.74/38.25 | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | REDUCE: (111), (12669) imply:
% 223.74/38.25 | | | | | | | | | | | | | | | | | (12671) ~ (all_53_14 = e3)
% 223.74/38.25 | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | REDUCE: (371), (12669) imply:
% 223.74/38.25 | | | | | | | | | | | | | | | | | (12672) ~ (all_4_2 = e3)
% 223.74/38.25 | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 223.74/38.25 | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | (12673) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.74/38.25 | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.74/38.25 | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.74/38.25 | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.74/38.25 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.74/38.25 | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.74/38.25 | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.74/38.25 | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 223.74/38.25 | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 223.74/38.25 | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 223.74/38.25 | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 223.74/38.25 | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 223.74/38.25 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 223.74/38.25 | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 223.74/38.25 | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 223.74/38.25 | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | BETA: splitting (12673) gives:
% 223.74/38.25 | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | (12674) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 223.74/38.25 | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | ALPHA: (12674) implies:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | (12675) op(e3, e0) = all_52_7
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | (12676) op(e3, e1) = all_52_5
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | (12677) op(e3, e2) = all_52_3
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | (12678) op(e3, e3) = all_52_1
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | (12679) op(all_52_7, all_52_7) = e0
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | (12680) op(all_52_5, all_52_5) = e1
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | (12681) op(all_52_3, all_52_3) = e2
% 223.74/38.25 | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_12,
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | all_52_7, e0, e3, simplifying with (169), (12675)
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | gives:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | (12682) all_53_12 = all_52_7
% 223.74/38.25 | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_8,
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | all_52_5, e1, e3, simplifying with (170), (12676)
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | gives:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | (12683) all_53_8 = all_52_5
% 223.74/38.25 | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_4,
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | all_52_3, e2, e3, simplifying with (171), (12677)
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | gives:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | (12684) all_53_4 = all_52_3
% 223.74/38.25 | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_52_1,
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (12655), (12678) gives:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | (12685) all_52_1 = e3
% 223.74/38.25 | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | REDUCE: (12087), (12683) imply:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | (12686) ~ (all_52_5 = e3)
% 223.74/38.25 | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | (12687) ~ (all_30_2 = e1)
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | REDUCE: (330), (12687) imply:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | (12688) ~ (all_4_2 = e1)
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | (12689) all_55_15 = e3
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (12689) imply:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | (12690) all_4_2 = e3
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | REDUCE: (12101), (12690) imply:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | (12691) $false
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | CLOSE: (12691) is inconsistent.
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | (12692) ~ (all_55_15 = e3)
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | (12693) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12693) gives:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | (12694) all_55_15 = e2
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (12694) imply:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | (12695) all_4_2 = e2
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (12695) imply:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | (12696) $false
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12696) is inconsistent.
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | (12697) ~ (all_55_15 = e2)
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | (12698) all_55_15 = e1 | all_55_15 = e0
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12698) gives:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | (12699) all_55_15 = e1
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (12699) imply:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | (12700) all_4_2 = e1
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12688), (12700) imply:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | (12701) $false
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12701) is inconsistent.
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | (12702) all_55_15 = e0
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (12702) imply:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | (12703) all_4_2 = e0
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (12703) imply:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | (12704) ~ (all_53_14 = e0)
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12101), (12703) imply:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | (12705) ~ (e3 = e0)
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (12703) imply:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | (12706) ~ (e2 = e0)
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12688), (12703) imply:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | (12707) ~ (e1 = e0)
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (12703) imply:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | (12708) op(e0, e0) = e0
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | (12709) all_57_15 = e0 & op(e0, e0) = e0
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12709) implies:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | (12710) all_57_15 = e0
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | (12711) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12711) gives:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (12712) all_57_0 = e1 & op(e3, e3) = e1
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12712) implies:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (12713) op(e3, e3) = e1
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12655), (12713), (function-axioms) are
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (12714) all_57_1 = e1 & op(e3, e2) = e1
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12714) implies:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (12715) all_57_1 = e1
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (226), (228), (12645),
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (12666), (12715), (function-axioms) are
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2145.
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | (12716) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12716) gives:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (12717) all_57_4 = e1 & op(e3, e1) = e1
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12717) implies:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (12718) all_57_4 = e1
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12719) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12719) gives:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12720) all_57_4 = e0 & op(e3, e1) = e0
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12720) implies:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12721) op(e3, e1) = e0
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12676), (12680), (12708), (12721),
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2167.
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12722) all_57_5 = e0 & op(e2, e1) = e0
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12722) implies:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12723) all_57_5 = e0
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12724) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_5 = e2
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12724) gives:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12725) all_57_4 = e2 & op(e3, e1) = e2
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12718), (12725) are inconsistent by
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1125.
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12726) all_57_5 = e2 & op(e2, e1) = e2
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12726) implies:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12727) all_57_5 = e2
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12723), (12727) are inconsistent by
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2363.
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12728) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_14 =
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12728) gives:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12729) all_57_8 = e2 & op(e1, e1) = e2
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12096), (12729) are inconsistent by
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #172.
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12730) all_57_14 = e2 & op(e0, e1) = e2
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12730) implies:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12731) all_57_14 = e2
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12732) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (12655), (12677), (12681), (12708),
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12732), (function-axioms) are inconsistent by
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #266.
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12733) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12733) gives:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12734) all_57_4 = e0 & op(e3, e1) = e0
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12734) implies:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12735) op(e3, e1) = e0
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12676), (12680), (12708), (12735),
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2167.
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12736) all_57_9 = e0 & op(e3, e0) = e0
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12736) implies:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12737) all_57_9 = e0
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12738) op(e3, e0) = e0
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12739) (all_57_12 = e1 & op(e0, e3) = e1) | (all_57_13 =
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12739) gives:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12740) all_57_12 = e1 & op(e0, e3) = e1
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12740) implies:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12741) all_57_12 = e1
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12742) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12742) gives:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12743) all_57_2 = e2 & op(e2, e3) = e2
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12743) implies:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12744) all_57_2 = e2
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12745) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12745) gives:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12746) all_57_9 = e2 & op(e3, e0) = e2
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12746) implies:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12747) all_57_9 = e2
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12737), (12747) imply:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12748) e2 = e0
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12748) implies:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12749) e2 = e0
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12744), (12749) imply:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12750) all_57_2 = e0
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (224), (225), (12645),
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12723), (12750), (function-axioms) are
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1848.
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12751) all_57_10 = e2 & op(e2, e0) = e2
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12751) implies:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12752) all_57_10 = e2
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12660), (12752) imply:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12753) e3 = e2
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12666), (12753) imply:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12754) all_57_13 = e2
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (207), (210), (12731),
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12741), (12754), (function-axioms) are
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1582.
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12755) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (36), (161), (169),
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (213), (231), (373), (12090), (12655),
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12670), (12676), (12677), (12680), (12681),
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12708), (12755), (function-axioms) are
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #174.
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12756) all_57_3 = e2 & op(e2, e2) = e2
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12756) implies:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12757) op(e2, e2) = e2
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12645), (12757), (function-axioms) are
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12758) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12758) gives:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12759) all_57_5 = e2 & op(e2, e1) = e2
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12759) implies:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12760) all_57_5 = e2
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12723), (12760) imply:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12761) e2 = e0
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12761) implies:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12762) e2 = e0
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12731), (12762) imply:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12763) all_57_14 = e0
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (208), (209),
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (373), (12666), (12708), (12710), (12763),
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #157.
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12764) all_57_10 = e2 & op(e2, e0) = e2
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12764) implies:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12765) all_57_10 = e2
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12660), (12765) imply:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12766) e3 = e2
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12766) implies:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12767) e3 = e2
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12666), (12767) imply:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12768) all_57_13 = e2
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (207), (210), (12731),
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12741), (12768), (function-axioms) are
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1582.
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12769) all_57_13 = e1 & op(e0, e2) = e1
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (12641), (12769), (function-axioms) are
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #330.
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12770) (all_57_14 = e1 & op(e0, e1) = e1) | (all_57_15 =
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12770) gives:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12771) all_57_14 = e1 & op(e0, e1) = e1
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12731), (12771) are inconsistent by
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2375.
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12772) all_57_15 = e1 & op(e0, e0) = e1
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12772) implies:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12773) op(e0, e0) = e1
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12675), (12679), (12738), (12773),
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2000.
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12774) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12774) gives:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12775) all_57_8 = e0 & op(e1, e1) = e0
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12096), (12775) are inconsistent by
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #170.
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12776) all_57_14 = e0 & op(e0, e1) = e0
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12776) implies:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12777) all_57_14 = e0
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (208), (209),
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (373), (12666), (12708), (12710), (12777),
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #157.
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (12778) all_57_9 = e1 & op(e3, e0) = e1
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (231), (12655), (12676), (12677),
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (12680), (12681), (12708), (12778),
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | | #264.
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.25 | | | | | | | | | | | | | | | | | | | | | | | | (12779) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12779) implies:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | (12780) (all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 & op(e1,
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12780) gives:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | (12781) all_57_9 = e0 & op(e3, e0) = e0
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12781) implies:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | (12782) all_57_9 = e0
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (12783) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (12660), (12782), (12783) are
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1991.
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (12784) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (36), (161), (169),
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (213), (231), (373), (12090), (12655),
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (12670), (12676), (12677), (12680), (12681),
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (12708), (12784), (function-axioms) are
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #174.
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | (12785) (all_57_10 = e0 & op(e2, e0) = e0) | (all_57_11 =
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12785) gives:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (12786) all_57_10 = e0 & op(e2, e0) = e0
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12660), (12786) are inconsistent by
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1981.
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (12787) all_57_11 = e0 & op(e1, e0) = e0
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (12704), (12787), (function-axioms) are
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2341.
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | (12788) all_30_2 = e1
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (12788) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | (12789) all_4_2 = e1
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (12789) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | (12790) ~ (all_53_11 = e1)
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | (12791) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12791) gives:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | (12792) all_57_4 = e1 & op(e3, e1) = e1
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12792) implies:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | (12793) op(e3, e1) = e1
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_5, e1,
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (12676), (12793) gives:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | (12794) all_52_5 = e1
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12680), (12794) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | (12795) op(e1, e1) = e1
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12097), (12795), (function-axioms) are
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #156.
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | (12796) all_57_5 = e1 & op(e2, e1) = e1
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (12642), (12796), (function-axioms) are
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2305.
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | (12797) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12797) gives:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | (12798) all_57_8 = e1 & op(e1, e1) = e1
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12798) implies:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | (12799) op(e1, e1) = e1
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12097), (12799), (function-axioms) are
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #156.
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | (12800) all_57_14 = e1 & op(e0, e1) = e1
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (12790), (12800), (function-axioms) are
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #225.
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.26 | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | (12801) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 223.74/38.26 | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | ALPHA: (12801) implies:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | (12802) op(e2, e2) = all_52_11
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | (12803) op(all_52_11, all_52_11) = e2
% 223.74/38.26 | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12097), (12645), (12802), (12803),
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | #155.
% 223.74/38.26 | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.26 | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.26 | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | (12804) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 223.74/38.26 | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 223.74/38.26 | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.74/38.26 | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 223.74/38.26 | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 223.74/38.26 | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 223.74/38.26 | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 223.74/38.26 | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 223.74/38.26 | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 223.74/38.26 | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 223.74/38.26 | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.74/38.26 | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 223.74/38.26 | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 223.74/38.26 | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 223.74/38.26 | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 223.74/38.26 | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 223.74/38.26 | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (12097), (12099), (12655), (12667),
% 223.74/38.26 | | | | | | | | | | | | | | | | | | (12804), (function-axioms) are inconsistent by
% 223.74/38.26 | | | | | | | | | | | | | | | | | | sub-proof #166.
% 223.74/38.26 | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | End of split
% 223.74/38.26 | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | End of split
% 223.74/38.26 | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | End of split
% 223.74/38.26 | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | End of split
% 223.74/38.26 | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | End of split
% 223.74/38.26 | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | Case 2:
% 223.74/38.26 | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | (12805) all_55_0 = e2 | all_55_0 = e1 | all_55_0 = e0
% 223.74/38.26 | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | REF_CLOSE: (277), (12099), (12647), (12649), (12805) are
% 223.74/38.26 | | | | | | | | | | | | | inconsistent by sub-proof #1953.
% 223.74/38.26 | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | End of split
% 223.74/38.26 | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | Case 2:
% 223.74/38.26 | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | (12806) all_20_2 = e2
% 223.74/38.26 | | | | | | | | | | | | (12807) ( ~ (all_20_0 = e1) & op(all_20_1, e3) = all_20_0
% 223.74/38.26 | | | | | | | | | | | | & op(e3, e2) = all_20_1 & $i(all_20_0) &
% 223.74/38.26 | | | | | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e0) & op(e3, e2)
% 223.74/38.26 | | | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 223.74/38.26 | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | COMBINE_EQS: (299), (12806) imply:
% 223.74/38.26 | | | | | | | | | | | | (12808) all_10_2 = e2
% 223.74/38.26 | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | SIMP: (12808) implies:
% 223.74/38.26 | | | | | | | | | | | | (12809) all_10_2 = e2
% 223.74/38.26 | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | COMBINE_EQS: (329), (12809) imply:
% 223.74/38.26 | | | | | | | | | | | | (12810) all_28_2 = e2
% 223.74/38.26 | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | REDUCE: (338), (12809) imply:
% 223.74/38.26 | | | | | | | | | | | | (12811) ~ (all_53_1 = e2)
% 223.74/38.26 | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | REDUCE: (340), (12809) imply:
% 223.74/38.26 | | | | | | | | | | | | (12812) ~ (all_53_2 = e2)
% 223.74/38.26 | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | REDUCE: (342), (12809) imply:
% 223.74/38.26 | | | | | | | | | | | | (12813) ~ (all_53_3 = e2)
% 223.74/38.26 | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | REDUCE: (45), (12809) imply:
% 223.74/38.26 | | | | | | | | | | | | (12814) op(e3, e3) = e2
% 223.74/38.26 | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | BETA: splitting (107) gives:
% 223.74/38.26 | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | Case 1:
% 223.74/38.26 | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | (12815) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.74/38.26 | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.74/38.26 | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.74/38.26 | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.74/38.26 | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.74/38.26 | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.74/38.26 | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.74/38.26 | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 223.74/38.26 | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 223.74/38.26 | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 223.74/38.26 | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 223.74/38.26 | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 223.74/38.26 | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 223.74/38.26 | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 223.74/38.26 | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 223.74/38.26 | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | BETA: splitting (12815) gives:
% 223.74/38.26 | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | Case 1:
% 223.74/38.26 | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | (12816) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.74/38.26 | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.74/38.26 | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.74/38.26 | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.74/38.26 | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.74/38.26 | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.74/38.26 | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.74/38.26 | | | | | | | | | | | | | | $i(all_52_7)
% 223.74/38.26 | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | ALPHA: (12816) implies:
% 223.74/38.26 | | | | | | | | | | | | | | (12817) op(e3, e3) = all_52_1
% 223.74/38.26 | | | | | | | | | | | | | | (12818) op(all_52_1, all_52_1) = e3
% 223.74/38.26 | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 223.74/38.26 | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | Case 1:
% 223.74/38.26 | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | (12819) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_2 = e2
% 223.74/38.26 | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 223.74/38.26 | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | BETA: splitting (12819) gives:
% 223.74/38.26 | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | Case 1:
% 223.74/38.26 | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | (12820) all_57_0 = e2 & op(e3, e3) = e2
% 223.74/38.26 | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_52_1,
% 223.74/38.26 | | | | | | | | | | | | | | | | e3, e3, simplifying with (12814), (12817) gives:
% 223.74/38.26 | | | | | | | | | | | | | | | | (12821) all_52_1 = e2
% 223.74/38.26 | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | REDUCE: (12818), (12821) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | (12822) op(e2, e2) = e3
% 223.74/38.26 | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12645), (12822), (function-axioms) are
% 223.74/38.26 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1912.
% 223.74/38.26 | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | Case 2:
% 223.74/38.26 | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | (12823) all_57_2 = e2 & op(e2, e3) = e2
% 223.74/38.26 | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | REF_CLOSE: (168), (12811), (12823), (function-axioms) are
% 223.74/38.26 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2504.
% 223.74/38.26 | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | End of split
% 223.74/38.26 | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | Case 2:
% 223.74/38.26 | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | (12824) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_12 =
% 223.74/38.26 | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 223.74/38.26 | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (164), (168),
% 223.74/38.26 | | | | | | | | | | | | | | | (230), (232), (236), (12085), (12640), (12813),
% 223.74/38.26 | | | | | | | | | | | | | | | (12814), (12824), (function-axioms) are
% 223.74/38.26 | | | | | | | | | | | | | | | inconsistent by sub-proof #152.
% 223.74/38.26 | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | End of split
% 223.74/38.26 | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | Case 2:
% 223.74/38.26 | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | (12825) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 223.74/38.26 | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 223.74/38.26 | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 223.74/38.26 | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 223.74/38.26 | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 223.74/38.26 | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 223.74/38.26 | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 223.74/38.26 | | | | | | | | | | | | | | $i(all_52_15)
% 223.74/38.26 | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | ALPHA: (12825) implies:
% 223.74/38.26 | | | | | | | | | | | | | | (12826) op(e2, e2) = all_52_11
% 223.74/38.26 | | | | | | | | | | | | | | (12827) op(all_52_11, all_52_11) = e2
% 223.74/38.26 | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | REF_CLOSE: (9), (12097), (12645), (12826), (12827),
% 223.74/38.26 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.26 | | | | | | | | | | | | | | #155.
% 223.74/38.26 | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | End of split
% 223.74/38.26 | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | Case 2:
% 223.74/38.26 | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | (12828) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 223.74/38.26 | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 223.74/38.26 | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.74/38.26 | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 223.74/38.26 | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 223.74/38.26 | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 223.74/38.26 | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 223.74/38.26 | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 223.74/38.26 | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 223.74/38.26 | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 223.74/38.26 | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.74/38.26 | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 223.74/38.26 | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 223.74/38.26 | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 223.74/38.26 | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 223.74/38.26 | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 223.74/38.26 | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | BETA: splitting (12828) gives:
% 223.74/38.26 | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | Case 1:
% 223.74/38.26 | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | (12829) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 223.74/38.26 | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 223.74/38.26 | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.74/38.26 | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 223.74/38.26 | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 223.74/38.26 | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 223.74/38.26 | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 223.74/38.26 | | | | | | | | | | | | | | $i(all_52_23)
% 223.74/38.26 | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | ALPHA: (12829) implies:
% 223.74/38.26 | | | | | | | | | | | | | | (12830) op(e1, e1) = all_52_21
% 223.74/38.26 | | | | | | | | | | | | | | (12831) op(all_52_21, all_52_21) = e1
% 223.74/38.26 | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | REF_CLOSE: (45), (12097), (12099), (12830), (12831),
% 223.74/38.26 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.26 | | | | | | | | | | | | | | #167.
% 223.74/38.26 | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | Case 2:
% 223.74/38.26 | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | (12832) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 223.74/38.26 | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 223.74/38.26 | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.74/38.26 | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 223.74/38.26 | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 223.74/38.26 | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 223.74/38.26 | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 223.74/38.26 | | | | | | | | | | | | | | $i(all_52_31)
% 223.74/38.26 | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | ALPHA: (12832) implies:
% 223.74/38.26 | | | | | | | | | | | | | | (12833) op(e0, e0) = all_52_31
% 223.74/38.26 | | | | | | | | | | | | | | (12834) op(e0, e3) = all_52_25
% 223.74/38.26 | | | | | | | | | | | | | | (12835) op(all_52_31, all_52_31) = e0
% 223.74/38.26 | | | | | | | | | | | | | | (12836) op(all_52_25, all_52_25) = e3
% 223.74/38.26 | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 223.74/38.26 | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | Case 1:
% 223.74/38.26 | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | (12837) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_2 = e2
% 223.74/38.26 | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 223.74/38.26 | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | BETA: splitting (12837) gives:
% 223.74/38.26 | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | Case 1:
% 223.74/38.26 | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | (12838) all_57_0 = e2 & op(e3, e3) = e2
% 223.74/38.26 | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2,
% 223.74/38.26 | | | | | | | | | | | | | | | | all_52_31, e0, e0, simplifying with (36), (12833)
% 223.74/38.26 | | | | | | | | | | | | | | | | gives:
% 223.74/38.26 | | | | | | | | | | | | | | | | (12839) all_52_31 = all_4_2
% 223.74/38.26 | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_3,
% 223.74/38.26 | | | | | | | | | | | | | | | | all_52_25, e3, e0, simplifying with (160), (12834)
% 223.74/38.26 | | | | | | | | | | | | | | | | gives:
% 223.74/38.26 | | | | | | | | | | | | | | | | (12840) all_53_3 = all_52_25
% 223.74/38.26 | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (12840) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | (12841) all_55_12 = all_52_25
% 223.74/38.26 | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | REDUCE: (149), (12840) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | (12842) ~ (all_53_1 = all_52_25)
% 223.74/38.26 | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | REDUCE: (145), (12840) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | (12843) ~ (all_53_2 = all_52_25)
% 223.74/38.26 | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | REDUCE: (351), (12840) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | (12844) ~ (all_52_25 = all_4_2)
% 223.74/38.26 | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | REDUCE: (12813), (12840) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | (12845) ~ (all_52_25 = e2)
% 223.74/38.26 | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 223.74/38.26 | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.26 | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | (12846) ~ (all_28_2 = e2)
% 223.74/38.26 | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | REDUCE: (12810), (12846) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | | (12847) $false
% 223.74/38.26 | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | CLOSE: (12847) is inconsistent.
% 223.74/38.26 | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.26 | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | (12848) ( ~ (all_28_0 = e0) & op(all_28_1, e3) = all_28_0
% 223.74/38.26 | | | | | | | | | | | | | | | | | & op(e3, e2) = all_28_1 & $i(all_28_0) &
% 223.74/38.26 | | | | | | | | | | | | | | | | | $i(all_28_1)) | ( ~ (all_28_1 = e1) & op(e3, e2)
% 223.74/38.26 | | | | | | | | | | | | | | | | | = all_28_1 & $i(all_28_1))
% 223.74/38.26 | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 223.74/38.26 | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.26 | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | (12849) ~ (all_30_2 = e1)
% 223.74/38.26 | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | REDUCE: (330), (12849) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | (12850) ~ (all_4_2 = e1)
% 223.74/38.26 | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 223.74/38.26 | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | (12851) all_55_15 = e3
% 223.74/38.26 | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (12851) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | (12852) all_4_2 = e3
% 223.74/38.26 | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | REDUCE: (12101), (12852) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | (12853) $false
% 223.74/38.26 | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | CLOSE: (12853) is inconsistent.
% 223.74/38.26 | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | (12854) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 223.74/38.26 | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | BETA: splitting (12854) gives:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | (12855) all_55_15 = e2
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (12855) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | (12856) all_4_2 = e2
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (12856) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | (12857) $false
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | CLOSE: (12857) is inconsistent.
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | (12858) ~ (all_55_15 = e2)
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | (12859) all_55_15 = e1 | all_55_15 = e0
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | BETA: splitting (12859) gives:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | (12860) all_55_15 = e1
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (12860) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | (12861) all_4_2 = e1
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | REDUCE: (12850), (12861) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | (12862) $false
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | CLOSE: (12862) is inconsistent.
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | (12863) all_55_15 = e0
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (12863) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | (12864) all_4_2 = e0
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (12864) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | (12865) ~ (all_53_13 = e0)
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | REDUCE: (12844), (12864) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | (12866) ~ (all_52_25 = e0)
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | (12867) all_55_6 = e3
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (12088), (12867) are inconsistent by
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2498.
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | (12868) all_55_6 = e2 | all_55_6 = e1 | all_55_6 = e0
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | (12869) all_55_8 = e3
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (12869) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | (12870) all_53_2 = e3
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12085), (12870) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | (12871) $false
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12871) is inconsistent.
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | (12872) all_55_8 = e2 | all_55_8 = e1 | all_55_8 = e0
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | (12873) all_55_7 = e3
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (12873) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | (12874) all_53_13 = e3
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12874) implies:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | (12875) all_53_13 = e3
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (12875) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | (12876) ~ (all_53_1 = e3)
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | (12877) all_55_4 = e3
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (12877) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | (12878) all_53_1 = e3
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12876), (12878) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | (12879) $false
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12879) is inconsistent.
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | (12880) all_55_4 = e2 | all_55_4 = e1 | all_55_4 = e0
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12880) gives:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (12881) all_55_4 = e2
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (12881) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (12882) all_53_1 = e2
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12811), (12882) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (12883) $false
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12883) is inconsistent.
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (12884) all_55_4 = e1 | all_55_4 = e0
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12884) gives:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12885) all_55_4 = e1
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (12885) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12886) all_53_1 = e1
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12640), (12886) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12887) $false
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12887) is inconsistent.
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12888) all_55_4 = e0
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (12888) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12889) all_53_1 = e0
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (12889) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12890) ~ (all_53_2 = e0)
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12890) implies:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12891) ~ (all_53_2 = e0)
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12842), (12889) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12892) ~ (all_52_25 = e0)
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12872) gives:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12893) all_55_8 = e2
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (12812), (12893) are inconsistent by
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2406.
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12894) all_55_8 = e1 | all_55_8 = e0
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12894) gives:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12895) all_55_8 = e1
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (12895) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12896) all_53_2 = e1
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12896) implies:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12897) all_53_2 = e1
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12843), (12897) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12898) ~ (all_52_25 = e1)
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12898) implies:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12899) ~ (all_52_25 = e1)
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (193), (12814), (12836), (12841), (12845),
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12866), (12899), (function-axioms) are
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1562.
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12900) all_55_8 = e0
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (12891), (12900) are inconsistent by
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1997.
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | (12901) all_55_7 = e2 | all_55_7 = e1 | all_55_7 = e0
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12901) gives:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | (12902) all_55_7 = e2
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (12902) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | (12903) all_53_13 = e2
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12903) implies:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | (12904) all_53_13 = e2
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (12904) imply:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | (12905) ~ (all_53_9 = e2)
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12868) gives:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (12906) all_55_6 = e2
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (12905), (12906) are inconsistent by
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2398.
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (12907) all_55_6 = e1 | all_55_6 = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12907) gives:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12908) all_55_6 = e1
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (12642), (12908) are inconsistent by
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2163.
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12909) all_55_6 = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (12909) imply:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12910) all_53_9 = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12910) implies:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12911) all_53_9 = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (12911) imply:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12912) ~ (all_53_1 = e0)
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12913) all_55_4 = e3
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (12913) imply:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12914) all_53_1 = e3
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12914) implies:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12915) all_53_1 = e3
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12842), (12915) imply:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12916) ~ (all_52_25 = e3)
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12916) implies:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12917) ~ (all_52_25 = e3)
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12918) all_55_12 = e3
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12841), (12917), (12918) are inconsistent by
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1683.
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12919) all_55_12 = e2 | all_55_12 = e1 | all_55_12 = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12919) gives:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12920) all_55_12 = e2
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12841), (12845), (12920) are inconsistent by
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1682.
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12921) all_55_12 = e1 | all_55_12 = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12921) gives:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12922) all_55_12 = e1
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12841), (12922) imply:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12923) all_52_25 = e1
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12923) implies:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12924) all_52_25 = e1
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12843), (12924) imply:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12925) ~ (all_53_2 = e1)
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12872) gives:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12926) all_55_8 = e2
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (12812), (12926) are inconsistent by
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2406.
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12927) all_55_8 = e1 | all_55_8 = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12927) gives:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12928) all_55_8 = e1
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (12925), (12928) are inconsistent by
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2367.
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12929) all_55_8 = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (12929) imply:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12930) all_53_2 = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12930) implies:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12931) all_53_2 = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (12931) imply:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12932) ~ (all_53_6 = e0)
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12932) implies:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12933) ~ (all_53_6 = e0)
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (160), (163), (171), (193), (226), (244),
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (247), (351), (362), (373), (12645), (12807),
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12813), (12814), (12834), (12836), (12848),
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12850), (12854), (12933), (function-axioms) are
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1566.
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12934) all_55_12 = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12841), (12866), (12934) are inconsistent by
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1564.
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12935) all_55_4 = e2 | all_55_4 = e1 | all_55_4 = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (12640), (12811), (12912), (12935) are
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #772.
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | (12936) all_55_7 = e1 | all_55_7 = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (12643), (12865), (12936) are inconsistent
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1322.
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.27 | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.27 | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.27 | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | (12937) all_30_2 = e1
% 223.74/38.27 | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (12937) imply:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | (12938) all_4_2 = e1
% 223.74/38.27 | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | REDUCE: (36), (12938) imply:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | (12939) op(e0, e0) = e1
% 223.74/38.27 | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12097), (12833), (12835), (12939),
% 223.74/38.27 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.27 | | | | | | | | | | | | | | | | | | #161.
% 223.74/38.27 | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | End of split
% 223.74/38.27 | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | End of split
% 223.74/38.27 | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | Case 2:
% 223.74/38.27 | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | (12940) all_57_2 = e2 & op(e2, e3) = e2
% 223.74/38.27 | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | REF_CLOSE: (168), (12811), (12940), (function-axioms) are
% 223.74/38.27 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2504.
% 223.74/38.27 | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | End of split
% 223.74/38.27 | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | Case 2:
% 223.74/38.27 | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | (12941) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_12 =
% 223.74/38.27 | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 223.74/38.27 | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (164), (168),
% 223.74/38.27 | | | | | | | | | | | | | | | (230), (232), (236), (12085), (12640), (12813),
% 223.74/38.27 | | | | | | | | | | | | | | | (12814), (12941), (function-axioms) are
% 223.74/38.27 | | | | | | | | | | | | | | | inconsistent by sub-proof #152.
% 223.74/38.27 | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | End of split
% 223.74/38.27 | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | End of split
% 223.74/38.27 | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | End of split
% 223.74/38.27 | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | End of split
% 223.74/38.27 | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | Case 2:
% 223.74/38.27 | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | (12942) all_18_2 = e0
% 223.74/38.27 | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | COMBINE_EQS: (327), (12942) imply:
% 223.74/38.27 | | | | | | | | | | | (12943) all_10_2 = e0
% 223.74/38.27 | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | SIMP: (12943) implies:
% 223.74/38.27 | | | | | | | | | | | (12944) all_10_2 = e0
% 223.74/38.27 | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | REDUCE: (338), (12944) imply:
% 223.74/38.27 | | | | | | | | | | | (12945) ~ (all_53_1 = e0)
% 223.74/38.27 | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | REDUCE: (340), (12944) imply:
% 223.74/38.27 | | | | | | | | | | | (12946) ~ (all_53_2 = e0)
% 223.74/38.27 | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | REDUCE: (342), (12944) imply:
% 223.74/38.27 | | | | | | | | | | | (12947) ~ (all_53_3 = e0)
% 223.74/38.27 | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | REDUCE: (344), (12944) imply:
% 223.74/38.27 | | | | | | | | | | | (12948) ~ (all_53_4 = e0)
% 223.74/38.27 | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | REDUCE: (346), (12944) imply:
% 223.74/38.27 | | | | | | | | | | | (12949) ~ (all_53_8 = e0)
% 223.74/38.27 | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | REDUCE: (45), (12944) imply:
% 223.74/38.27 | | | | | | | | | | | (12950) op(e3, e3) = e0
% 223.74/38.27 | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | BETA: splitting (107) gives:
% 223.74/38.27 | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | Case 1:
% 223.74/38.27 | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | (12951) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.74/38.27 | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.74/38.27 | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.74/38.27 | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.74/38.27 | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.74/38.27 | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.74/38.27 | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.74/38.27 | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 223.74/38.27 | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 223.74/38.27 | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 223.74/38.27 | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 223.74/38.27 | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 223.74/38.27 | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 223.74/38.27 | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 223.74/38.27 | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 223.74/38.27 | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | BETA: splitting (12951) gives:
% 223.74/38.27 | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | Case 1:
% 223.74/38.27 | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | (12952) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 223.74/38.27 | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 223.74/38.27 | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 223.74/38.27 | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 223.74/38.27 | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 223.74/38.27 | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 223.74/38.27 | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 223.74/38.27 | | | | | | | | | | | | | $i(all_52_7)
% 223.74/38.27 | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | ALPHA: (12952) implies:
% 223.74/38.27 | | | | | | | | | | | | | (12953) op(e3, e3) = all_52_1
% 223.74/38.27 | | | | | | | | | | | | | (12954) op(all_52_1, all_52_1) = e3
% 223.74/38.27 | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | BETA: splitting (230) gives:
% 223.74/38.27 | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | Case 1:
% 223.74/38.27 | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | (12955) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 223.74/38.27 | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 223.74/38.27 | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | BETA: splitting (12955) gives:
% 223.74/38.27 | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | Case 1:
% 223.74/38.27 | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | (12956) all_57_0 = e0 & op(e3, e3) = e0
% 223.74/38.27 | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_52_1,
% 223.74/38.27 | | | | | | | | | | | | | | | e3, e3, simplifying with (12950), (12953) gives:
% 223.74/38.27 | | | | | | | | | | | | | | | (12957) all_52_1 = e0
% 223.74/38.27 | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | REDUCE: (12954), (12957) imply:
% 223.74/38.27 | | | | | | | | | | | | | | | (12958) op(e0, e0) = e3
% 223.74/38.27 | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | REF_CLOSE: (36), (12101), (12958), (function-axioms) are
% 223.74/38.27 | | | | | | | | | | | | | | | inconsistent by sub-proof #151.
% 223.74/38.27 | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | Case 2:
% 223.74/38.27 | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | (12959) all_57_2 = e0 & op(e2, e3) = e0
% 223.74/38.27 | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | ALPHA: (12959) implies:
% 223.74/38.27 | | | | | | | | | | | | | | | (12960) op(e2, e3) = e0
% 223.74/38.27 | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | REF_CLOSE: (168), (12945), (12960), (function-axioms) are
% 223.74/38.27 | | | | | | | | | | | | | | | inconsistent by sub-proof #1943.
% 223.74/38.27 | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | End of split
% 223.74/38.27 | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | Case 2:
% 223.74/38.27 | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | (12961) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 223.74/38.27 | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 223.74/38.27 | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (12946), (12947), (12961),
% 223.74/38.27 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.27 | | | | | | | | | | | | | | #1859.
% 223.74/38.27 | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | End of split
% 223.74/38.27 | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | Case 2:
% 223.74/38.27 | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | (12962) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 223.74/38.27 | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 223.74/38.27 | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 223.74/38.27 | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 223.74/38.27 | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 223.74/38.27 | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 223.74/38.27 | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 223.74/38.27 | | | | | | | | | | | | | $i(all_52_15)
% 223.74/38.27 | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | ALPHA: (12962) implies:
% 223.74/38.27 | | | | | | | | | | | | | (12963) op(e2, e2) = all_52_11
% 223.74/38.27 | | | | | | | | | | | | | (12964) op(all_52_11, all_52_11) = e2
% 223.74/38.27 | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | REF_CLOSE: (9), (12097), (12645), (12963), (12964),
% 223.74/38.27 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.27 | | | | | | | | | | | | | #155.
% 223.74/38.27 | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | End of split
% 223.74/38.27 | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | Case 2:
% 223.74/38.27 | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | (12965) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 223.74/38.27 | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 223.74/38.27 | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.74/38.27 | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 223.74/38.27 | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 223.74/38.27 | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 223.74/38.27 | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 223.74/38.27 | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 223.74/38.27 | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 223.74/38.27 | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 223.74/38.27 | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.74/38.27 | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 223.74/38.27 | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 223.74/38.27 | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 223.74/38.27 | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 223.74/38.27 | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 223.74/38.27 | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | BETA: splitting (12965) gives:
% 223.74/38.27 | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | Case 1:
% 223.74/38.27 | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | (12966) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 223.74/38.27 | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 223.74/38.27 | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 223.74/38.27 | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 223.74/38.27 | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 223.74/38.27 | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 223.74/38.27 | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 223.74/38.27 | | | | | | | | | | | | | $i(all_52_23)
% 223.74/38.27 | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | ALPHA: (12966) implies:
% 223.74/38.27 | | | | | | | | | | | | | (12967) op(e1, e1) = all_52_21
% 223.74/38.27 | | | | | | | | | | | | | (12968) op(all_52_21, all_52_21) = e1
% 223.74/38.27 | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | REF_CLOSE: (45), (12097), (12099), (12967), (12968),
% 223.74/38.27 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.27 | | | | | | | | | | | | | #167.
% 223.74/38.27 | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | Case 2:
% 223.74/38.27 | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | (12969) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 223.74/38.27 | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 223.74/38.27 | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 223.74/38.27 | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 223.74/38.27 | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 223.74/38.27 | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 223.74/38.27 | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 223.74/38.27 | | | | | | | | | | | | | $i(all_52_31)
% 223.74/38.27 | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | ALPHA: (12969) implies:
% 223.74/38.27 | | | | | | | | | | | | | (12970) op(e0, e0) = all_52_31
% 223.74/38.27 | | | | | | | | | | | | | (12971) op(e0, e2) = all_52_27
% 223.74/38.27 | | | | | | | | | | | | | (12972) op(all_52_31, all_52_31) = e0
% 223.74/38.27 | | | | | | | | | | | | | (12973) op(all_52_27, all_52_27) = e2
% 223.74/38.27 | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2,
% 223.74/38.27 | | | | | | | | | | | | | all_52_31, e0, e0, simplifying with (36), (12970)
% 223.74/38.27 | | | | | | | | | | | | | gives:
% 223.74/38.27 | | | | | | | | | | | | | (12974) all_52_31 = all_4_2
% 223.74/38.27 | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_7,
% 223.74/38.27 | | | | | | | | | | | | | all_52_27, e2, e0, simplifying with (159), (12971)
% 223.74/38.27 | | | | | | | | | | | | | gives:
% 223.74/38.27 | | | | | | | | | | | | | (12975) all_53_7 = all_52_27
% 223.74/38.27 | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | COMBINE_EQS: (246), (12975) imply:
% 223.74/38.27 | | | | | | | | | | | | | (12976) all_55_13 = all_52_27
% 223.74/38.27 | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | REDUCE: (362), (12975) imply:
% 223.74/38.27 | | | | | | | | | | | | | (12977) ~ (all_52_27 = all_4_2)
% 223.74/38.27 | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | REDUCE: (12641), (12975) imply:
% 223.74/38.27 | | | | | | | | | | | | | (12978) ~ (all_52_27 = e1)
% 223.74/38.27 | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | BETA: splitting (70) gives:
% 223.74/38.27 | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | Case 1:
% 223.74/38.27 | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | (12979) ~ (all_26_2 = e1)
% 223.74/38.27 | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | REDUCE: (12639), (12979) imply:
% 223.74/38.27 | | | | | | | | | | | | | | (12980) $false
% 223.74/38.27 | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | CLOSE: (12980) is inconsistent.
% 223.74/38.27 | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | Case 2:
% 223.74/38.27 | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | (12981) ( ~ (all_26_0 = e3) & op(all_26_1, e2) = all_26_0
% 223.74/38.27 | | | | | | | | | | | | | | & op(e2, e1) = all_26_1 & $i(all_26_0) &
% 223.74/38.27 | | | | | | | | | | | | | | $i(all_26_1)) | ( ~ (all_26_1 = e0) & op(e2, e1)
% 223.74/38.27 | | | | | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 223.74/38.27 | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 223.74/38.27 | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | Case 1:
% 223.74/38.27 | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | (12982) ~ (all_30_2 = e1)
% 223.74/38.27 | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | REDUCE: (330), (12982) imply:
% 223.74/38.27 | | | | | | | | | | | | | | | (12983) ~ (all_4_2 = e1)
% 223.74/38.27 | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 223.74/38.27 | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | Case 1:
% 223.74/38.27 | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | (12984) all_55_15 = e3
% 223.74/38.27 | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | REF_CLOSE: (244), (12101), (12984) are inconsistent by
% 223.74/38.27 | | | | | | | | | | | | | | | | sub-proof #2503.
% 223.74/38.27 | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | Case 2:
% 223.74/38.27 | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | (12985) ~ (all_55_15 = e3)
% 223.74/38.27 | | | | | | | | | | | | | | | | (12986) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 223.74/38.27 | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | BETA: splitting (12986) gives:
% 223.74/38.27 | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.27 | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | (12987) all_55_15 = e2
% 223.74/38.27 | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (12987) are inconsistent by
% 223.74/38.27 | | | | | | | | | | | | | | | | | sub-proof #2502.
% 223.74/38.27 | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.27 | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | (12988) ~ (all_55_15 = e2)
% 223.74/38.27 | | | | | | | | | | | | | | | | | (12989) all_55_15 = e1 | all_55_15 = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | BETA: splitting (12989) gives:
% 223.74/38.27 | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.27 | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | (12990) all_55_15 = e1
% 223.74/38.27 | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (12983), (12990) are inconsistent by
% 223.74/38.27 | | | | | | | | | | | | | | | | | | sub-proof #2501.
% 223.74/38.27 | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.27 | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | (12991) all_55_15 = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (12991) imply:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | (12992) all_4_2 = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | SIMP: (12992) implies:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | (12993) all_4_2 = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | REDUCE: (370), (12993) imply:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | (12994) ~ (all_53_12 = e0)
% 223.74/38.27 | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | REDUCE: (371), (12993) imply:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | (12995) ~ (all_53_13 = e0)
% 223.74/38.27 | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | REDUCE: (372), (12993) imply:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | (12996) ~ (all_53_14 = e0)
% 223.74/38.27 | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | REDUCE: (12977), (12993) imply:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | (12997) ~ (all_52_27 = e0)
% 223.74/38.27 | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | REDUCE: (12101), (12993) imply:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | (12998) ~ (e3 = e0)
% 223.74/38.27 | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | REDUCE: (373), (12993) imply:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | (12999) ~ (e2 = e0)
% 223.74/38.27 | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | REDUCE: (12983), (12993) imply:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | (13000) ~ (e1 = e0)
% 223.74/38.27 | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 223.74/38.27 | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | (13001) all_57_15 = e0 & op(e0, e0) = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | ALPHA: (13001) implies:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | (13002) all_57_15 = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | (13003) op(e0, e0) = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | (13004) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | BETA: splitting (13004) gives:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | (13005) all_57_1 = e0 & op(e3, e2) = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | ALPHA: (13005) implies:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | (13006) op(e3, e2) = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (171), (12948), (13006), (function-axioms) are
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1941.
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | (13007) all_57_3 = e0 & op(e2, e2) = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | ALPHA: (13007) implies:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | (13008) op(e2, e2) = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (192), (12950), (12973), (12976), (12978),
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | (12997), (13008), (function-axioms) are
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1177.
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | (13009) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | BETA: splitting (13009) gives:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | (13010) all_57_7 = e0 & op(e1, e2) = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | ALPHA: (13010) implies:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | (13011) all_57_7 = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | (13012) op(e1, e2) = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | (13013) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13013) gives:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | (13014) all_57_4 = e0 & op(e3, e1) = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13014) implies:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | (13015) op(e3, e1) = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (12949), (13015), (function-axioms) are
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | (13016) all_57_5 = e0 & op(e2, e1) = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13016) implies:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | (13017) op(e2, e1) = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (107), (129), (159), (163), (166),
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | (192), (246), (12637), (12641), (12642), (12645),
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | (12950), (12981), (13003), (13012), (13017),
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | #1553.
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | (13018) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13018) gives:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | (13019) all_57_8 = e0 & op(e1, e1) = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12096), (13019) are inconsistent by
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #170.
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | (13020) all_57_14 = e0 & op(e0, e1) = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13020) implies:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | (13021) all_57_14 = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | (13022) (all_57_12 = e1 & op(e0, e3) = e1) | (all_57_13 =
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13022) gives:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | (13023) all_57_12 = e1 & op(e0, e3) = e1
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13023) implies:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | (13024) all_57_12 = e1
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (13025) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13025) gives:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13026) all_57_2 = e0 & op(e2, e3) = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13026) implies:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13027) all_57_2 = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (208), (209), (210),
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (228), (229), (234), (236), (12645),
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12950), (13002), (13011), (13021), (13024),
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13027), (function-axioms) are inconsistent by
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1554.
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13028) all_57_3 = e0 & op(e2, e2) = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13028) implies:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13029) op(e2, e2) = e0
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (192), (12950), (12973), (12976), (12978),
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12997), (13029), (function-axioms) are
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1177.
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (13030) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (107), (129), (159), (163), (165),
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (166), (192), (246), (12637), (12641), (12642),
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (12645), (12950), (12981), (12995), (13003),
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (13012), (13030), (function-axioms) are
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1552.
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | (13031) all_57_13 = e1 & op(e0, e2) = e1
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13031) implies:
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | | (13032) all_57_13 = e1
% 223.74/38.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (209), (210), (13002),
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | (13003), (13021), (13032), (function-axioms) are
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2123.
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | | | (13033) (all_57_14 = e1 & op(e0, e1) = e1) | (all_57_15 =
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13003), (13021), (13033), (function-axioms)
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2121.
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | End of split
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | (13034) all_57_13 = e0 & op(e0, e2) = e0
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | ALPHA: (13034) implies:
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | (13035) all_57_13 = e0
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | (13036) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13036) gives:
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | | (13037) all_57_4 = e0 & op(e3, e1) = e0
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13037) implies:
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | | (13038) op(e3, e1) = e0
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (12949), (13038), (function-axioms) are
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | | (13039) all_57_5 = e0 & op(e2, e1) = e0
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | |
% 223.74/38.28 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13039) implies:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | (13040) op(e2, e1) = e0
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | (13041) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13041) gives:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | (13042) all_57_6 = e0 & op(e1, e3) = e0
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13042) implies:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | (13043) op(e1, e3) = e0
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (12946), (13043), (function-axioms) are
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2154.
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | (13044) all_57_7 = e0 & op(e1, e2) = e0
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13044) implies:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | (13045) op(e1, e2) = e0
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (107), (129), (159), (163), (166),
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | (192), (246), (12637), (12641), (12642), (12645),
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | (12950), (12981), (13003), (13040), (13045),
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | #1553.
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | (13046) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13046) gives:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | (13047) all_57_8 = e0 & op(e1, e1) = e0
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12096), (13047) are inconsistent by
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #170.
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | (13048) all_57_11 = e0 & op(e1, e0) = e0
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (12996), (13048), (function-axioms) are
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2341.
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | (13049) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13049) gives:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | (13050) all_57_8 = e0 & op(e1, e1) = e0
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12096), (13050) are inconsistent by
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #170.
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | (13051) all_57_14 = e0 & op(e0, e1) = e0
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13051) implies:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | (13052) all_57_14 = e0
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | (13053) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13053) gives:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | (13054) all_57_12 = e2 & op(e0, e3) = e2
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (208), (209), (210),
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | (13002), (13003), (13052), (13054),
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | #158.
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | (13055) all_57_13 = e2 & op(e0, e2) = e2
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13055) implies:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | (13056) all_57_13 = e2
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13035), (13056) are inconsistent by
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1911.
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | (13057) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (373), (13052), (13057),
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | #2127.
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | End of split
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | End of split
% 224.03/38.28 | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | (13058) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 224.03/38.28 | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (165), (169), (12994), (12995), (12996),
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | (13058), (function-axioms) are inconsistent by
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | sub-proof #2112.
% 224.03/38.28 | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | End of split
% 224.03/38.28 | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | End of split
% 224.03/38.28 | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | End of split
% 224.03/38.28 | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | End of split
% 224.03/38.28 | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | Case 2:
% 224.03/38.28 | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | (13059) all_30_2 = e1
% 224.03/38.28 | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (330), (12097), (12970), (12972),
% 224.03/38.28 | | | | | | | | | | | | | | | (13059), (function-axioms) are inconsistent by
% 224.03/38.28 | | | | | | | | | | | | | | | sub-proof #150.
% 224.03/38.28 | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | End of split
% 224.03/38.28 | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | End of split
% 224.03/38.28 | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | End of split
% 224.03/38.28 | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | End of split
% 224.03/38.28 | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | End of split
% 224.03/38.28 | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | End of split
% 224.03/38.28 | | | | | | | | |
% 224.03/38.28 | | | | | | | | Case 2:
% 224.03/38.28 | | | | | | | | |
% 224.03/38.28 | | | | | | | | | (13060) all_14_2 = e0
% 224.03/38.28 | | | | | | | | | (13061) ( ~ (all_14_0 = e1) & op(all_14_1, e2) = all_14_0 &
% 224.03/38.28 | | | | | | | | | op(e2, e0) = all_14_1 & $i(all_14_0) &
% 224.03/38.28 | | | | | | | | | $i(all_14_1)) | ( ~ (all_14_1 = e3) & op(e2, e0)
% 224.03/38.28 | | | | | | | | | = all_14_1 & $i(all_14_1))
% 224.03/38.28 | | | | | | | | |
% 224.03/38.28 | | | | | | | | | COMBINE_EQS: (328), (13060) imply:
% 224.03/38.28 | | | | | | | | | (13062) all_8_2 = e0
% 224.03/38.28 | | | | | | | | |
% 224.03/38.28 | | | | | | | | | SIMP: (13062) implies:
% 224.03/38.28 | | | | | | | | | (13063) all_8_2 = e0
% 224.03/38.28 | | | | | | | | |
% 224.03/38.28 | | | | | | | | | COMBINE_EQS: (290), (13063) imply:
% 224.03/38.28 | | | | | | | | | (13064) all_50_2 = e0
% 224.03/38.28 | | | | | | | | |
% 224.03/38.28 | | | | | | | | | REDUCE: (352), (13063) imply:
% 224.03/38.28 | | | | | | | | | (13065) ~ (all_53_4 = e0)
% 224.03/38.28 | | | | | | | | |
% 224.03/38.28 | | | | | | | | | REDUCE: (354), (13063) imply:
% 224.03/38.28 | | | | | | | | | (13066) ~ (all_53_6 = e0)
% 224.03/38.28 | | | | | | | | |
% 224.03/38.28 | | | | | | | | | REDUCE: (356), (13063) imply:
% 224.03/38.28 | | | | | | | | | (13067) ~ (all_53_7 = e0)
% 224.03/38.28 | | | | | | | | |
% 224.03/38.28 | | | | | | | | | REDUCE: (358), (13063) imply:
% 224.03/38.28 | | | | | | | | | (13068) ~ (all_53_9 = e0)
% 224.03/38.28 | | | | | | | | |
% 224.03/38.28 | | | | | | | | | REDUCE: (360), (13063) imply:
% 224.03/38.28 | | | | | | | | | (13069) ~ (all_53_13 = e0)
% 224.03/38.28 | | | | | | | | |
% 224.03/38.28 | | | | | | | | | REDUCE: (12098), (13063) imply:
% 224.03/38.28 | | | | | | | | | (13070) ~ (e3 = e0)
% 224.03/38.28 | | | | | | | | |
% 224.03/38.28 | | | | | | | | | BETA: splitting (226) gives:
% 224.03/38.28 | | | | | | | | |
% 224.03/38.28 | | | | | | | | | Case 1:
% 224.03/38.28 | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | (13071) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 224.03/38.28 | | | | | | | | | | & op(e2, e2) = e0)
% 224.03/38.28 | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | BETA: splitting (13071) gives:
% 224.03/38.28 | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | Case 1:
% 224.03/38.28 | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | (13072) all_57_1 = e0 & op(e3, e2) = e0
% 224.03/38.28 | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | ALPHA: (13072) implies:
% 224.03/38.28 | | | | | | | | | | | (13073) op(e3, e2) = e0
% 224.03/38.28 | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | REF_CLOSE: (171), (13065), (13073), (function-axioms) are
% 224.03/38.28 | | | | | | | | | | | inconsistent by sub-proof #1941.
% 224.03/38.28 | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | Case 2:
% 224.03/38.28 | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | (13074) all_57_3 = e0 & op(e2, e2) = e0
% 224.03/38.28 | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | ALPHA: (13074) implies:
% 224.03/38.28 | | | | | | | | | | | (13075) all_57_3 = e0
% 224.03/38.28 | | | | | | | | | | | (13076) op(e2, e2) = e0
% 224.03/38.28 | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | BETA: splitting (58) gives:
% 224.03/38.28 | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | Case 1:
% 224.03/38.28 | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | (13077) ~ (all_18_2 = e0)
% 224.03/38.28 | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | REDUCE: (327), (13077) imply:
% 224.03/38.28 | | | | | | | | | | | | (13078) ~ (all_10_2 = e0)
% 224.03/38.28 | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | BETA: splitting (61) gives:
% 224.03/38.28 | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | Case 1:
% 224.03/38.28 | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | (13079) ~ (all_20_2 = e2)
% 224.03/38.28 | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | REDUCE: (299), (13079) imply:
% 224.03/38.28 | | | | | | | | | | | | | (13080) ~ (all_10_2 = e2)
% 224.03/38.28 | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | BETA: splitting (205) gives:
% 224.03/38.28 | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | Case 1:
% 224.03/38.28 | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | (13081) all_55_0 = e3
% 224.03/38.28 | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | COMBINE_EQS: (277), (13081) imply:
% 224.03/38.28 | | | | | | | | | | | | | | (13082) all_10_2 = e3
% 224.03/38.28 | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | SIMP: (13082) implies:
% 224.03/38.28 | | | | | | | | | | | | | | (13083) all_10_2 = e3
% 224.03/38.28 | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | REDUCE: (344), (13083) imply:
% 224.03/38.28 | | | | | | | | | | | | | | (13084) ~ (all_53_4 = e3)
% 224.03/38.28 | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | REDUCE: (348), (13083) imply:
% 224.03/38.28 | | | | | | | | | | | | | | (13085) ~ (all_53_12 = e3)
% 224.03/38.28 | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | REDUCE: (45), (13083) imply:
% 224.03/38.28 | | | | | | | | | | | | | | (13086) op(e3, e3) = e3
% 224.03/38.28 | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 224.03/38.28 | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | Case 1:
% 224.03/38.28 | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | (13087) (all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 =
% 224.03/38.28 | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 224.03/38.28 | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (45), (106), (107), (136), (159), (163),
% 224.03/38.28 | | | | | | | | | | | | | | | (165), (169), (171), (204), (229), (270), (12086),
% 224.03/38.28 | | | | | | | | | | | | | | | (12097), (12099), (13061), (13064), (13065),
% 224.03/38.28 | | | | | | | | | | | | | | | (13069), (13075), (13076), (13084), (13085),
% 224.03/38.28 | | | | | | | | | | | | | | | (13086), (13087), (function-axioms) are
% 224.03/38.28 | | | | | | | | | | | | | | | inconsistent by sub-proof #147.
% 224.03/38.28 | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | Case 2:
% 224.03/38.28 | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | (13088) (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 =
% 224.03/38.28 | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 224.03/38.28 | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | REF_CLOSE: (36), (161), (12090), (12101), (13088),
% 224.03/38.28 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.03/38.28 | | | | | | | | | | | | | | | #146.
% 224.03/38.28 | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | End of split
% 224.03/38.28 | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | Case 2:
% 224.03/38.28 | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | (13089) all_55_0 = e2 | all_55_0 = e1 | all_55_0 = e0
% 224.03/38.28 | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | REF_CLOSE: (277), (12099), (13078), (13080), (13089) are
% 224.03/38.28 | | | | | | | | | | | | | | inconsistent by sub-proof #1953.
% 224.03/38.28 | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | End of split
% 224.03/38.28 | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | Case 2:
% 224.03/38.28 | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | (13090) all_20_2 = e2
% 224.03/38.28 | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | COMBINE_EQS: (299), (13090) imply:
% 224.03/38.28 | | | | | | | | | | | | | (13091) all_10_2 = e2
% 224.03/38.28 | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | SIMP: (13091) implies:
% 224.03/38.28 | | | | | | | | | | | | | (13092) all_10_2 = e2
% 224.03/38.28 | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | REDUCE: (348), (13092) imply:
% 224.03/38.28 | | | | | | | | | | | | | (13093) ~ (all_53_12 = e2)
% 224.03/38.28 | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | REDUCE: (45), (13092) imply:
% 224.03/38.28 | | | | | | | | | | | | | (13094) op(e3, e3) = e2
% 224.03/38.28 | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | BETA: splitting (107) gives:
% 224.03/38.28 | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | Case 1:
% 224.03/38.28 | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | (13095) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.03/38.28 | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.03/38.28 | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.03/38.28 | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.03/38.28 | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.03/38.28 | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.03/38.28 | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.03/38.28 | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 224.03/38.28 | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 224.03/38.28 | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 224.03/38.28 | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 224.03/38.28 | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 224.03/38.28 | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 224.03/38.28 | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 224.03/38.28 | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 224.03/38.28 | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | BETA: splitting (13095) gives:
% 224.03/38.28 | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | Case 1:
% 224.03/38.28 | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | (13096) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.03/38.28 | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.03/38.28 | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.03/38.28 | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.03/38.28 | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.03/38.28 | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.03/38.28 | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.03/38.28 | | | | | | | | | | | | | | | $i(all_52_7)
% 224.03/38.28 | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | ALPHA: (13096) implies:
% 224.03/38.28 | | | | | | | | | | | | | | | (13097) op(e3, e3) = all_52_1
% 224.03/38.28 | | | | | | | | | | | | | | | (13098) op(all_52_1, all_52_1) = e3
% 224.03/38.28 | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | REF_CLOSE: (7), (13076), (13094), (13097), (13098),
% 224.03/38.28 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.03/38.28 | | | | | | | | | | | | | | | #1653.
% 224.03/38.28 | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | Case 2:
% 224.03/38.28 | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | (13099) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 224.03/38.28 | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 224.03/38.28 | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 224.03/38.28 | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 224.03/38.28 | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 224.03/38.28 | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 224.03/38.28 | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 224.03/38.28 | | | | | | | | | | | | | | | $i(all_52_15)
% 224.03/38.28 | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | ALPHA: (13099) implies:
% 224.03/38.28 | | | | | | | | | | | | | | | (13100) op(e2, e2) = all_52_11
% 224.03/38.28 | | | | | | | | | | | | | | | (13101) op(all_52_11, all_52_11) = e2
% 224.03/38.28 | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 224.03/38.28 | | | | | | | | | | | | | | | all_52_11, e2, e2, simplifying with (13076),
% 224.03/38.28 | | | | | | | | | | | | | | | (13100) gives:
% 224.03/38.28 | | | | | | | | | | | | | | | (13102) all_52_11 = e0
% 224.03/38.28 | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | REDUCE: (13101), (13102) imply:
% 224.03/38.28 | | | | | | | | | | | | | | | (13103) op(e0, e0) = e2
% 224.03/38.28 | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (13103), (function-axioms) are
% 224.03/38.28 | | | | | | | | | | | | | | | inconsistent by sub-proof #2334.
% 224.03/38.28 | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | End of split
% 224.03/38.28 | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | Case 2:
% 224.03/38.28 | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | (13104) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 224.03/38.28 | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 224.03/38.28 | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.03/38.28 | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 224.03/38.28 | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 224.03/38.28 | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 224.03/38.28 | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 224.03/38.28 | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 224.03/38.28 | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 224.03/38.28 | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 224.03/38.28 | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.03/38.28 | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 224.03/38.28 | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 224.03/38.28 | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 224.03/38.28 | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 224.03/38.28 | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 224.03/38.28 | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | BETA: splitting (13104) gives:
% 224.03/38.28 | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | Case 1:
% 224.03/38.28 | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | (13105) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 224.03/38.28 | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 224.03/38.28 | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.03/38.28 | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 224.03/38.28 | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 224.03/38.28 | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 224.03/38.28 | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 224.03/38.28 | | | | | | | | | | | | | | | $i(all_52_23)
% 224.03/38.28 | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | ALPHA: (13105) implies:
% 224.03/38.28 | | | | | | | | | | | | | | | (13106) op(e1, e1) = all_52_21
% 224.03/38.28 | | | | | | | | | | | | | | | (13107) op(all_52_21, all_52_21) = e1
% 224.03/38.28 | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | REF_CLOSE: (45), (12097), (12099), (13106), (13107),
% 224.03/38.28 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.03/38.28 | | | | | | | | | | | | | | | #167.
% 224.03/38.28 | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | Case 2:
% 224.03/38.28 | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | (13108) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 224.03/38.28 | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 224.03/38.28 | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.03/38.28 | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 224.03/38.28 | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 224.03/38.28 | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 224.03/38.28 | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 224.03/38.28 | | | | | | | | | | | | | | | $i(all_52_31)
% 224.03/38.28 | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | ALPHA: (13108) implies:
% 224.03/38.28 | | | | | | | | | | | | | | | (13109) op(e0, e0) = all_52_31
% 224.03/38.28 | | | | | | | | | | | | | | | (13110) op(e0, e1) = all_52_29
% 224.03/38.28 | | | | | | | | | | | | | | | (13111) op(all_52_31, all_52_31) = e0
% 224.03/38.28 | | | | | | | | | | | | | | | (13112) op(all_52_29, all_52_29) = e1
% 224.03/38.28 | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 224.03/38.28 | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | Case 1:
% 224.03/38.28 | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | (13113) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 224.03/38.28 | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 224.03/38.28 | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | BETA: splitting (13113) gives:
% 224.03/38.28 | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.28 | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | (13114) all_57_0 = e2 & op(e3, e3) = e2
% 224.03/38.28 | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2,
% 224.03/38.28 | | | | | | | | | | | | | | | | | all_52_31, e0, e0, simplifying with (36), (13109)
% 224.03/38.28 | | | | | | | | | | | | | | | | | gives:
% 224.03/38.28 | | | | | | | | | | | | | | | | | (13115) all_52_31 = all_4_2
% 224.03/38.28 | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_11,
% 224.03/38.28 | | | | | | | | | | | | | | | | | all_52_29, e1, e0, simplifying with (158), (13110)
% 224.03/38.28 | | | | | | | | | | | | | | | | | gives:
% 224.03/38.28 | | | | | | | | | | | | | | | | | (13116) all_53_11 = all_52_29
% 224.03/38.28 | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (13116) imply:
% 224.03/38.28 | | | | | | | | | | | | | | | | | (13117) all_55_14 = all_52_29
% 224.03/38.28 | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | REDUCE: (122), (13116) imply:
% 224.03/38.28 | | | | | | | | | | | | | | | | | (13118) ~ (all_53_8 = all_52_29)
% 224.03/38.28 | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | REDUCE: (12089), (13116) imply:
% 224.03/38.28 | | | | | | | | | | | | | | | | | (13119) ~ (all_52_29 = e3)
% 224.03/38.28 | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 224.03/38.28 | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.28 | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | (13120) ~ (all_30_2 = e1)
% 224.03/38.28 | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | REDUCE: (330), (13120) imply:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | (13121) ~ (all_4_2 = e1)
% 224.03/38.28 | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 224.03/38.28 | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | (13122) all_55_15 = e3
% 224.03/38.28 | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (12101), (13122) are inconsistent by
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | sub-proof #2503.
% 224.03/38.28 | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | (13123) ~ (all_55_15 = e3)
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | (13124) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 224.03/38.28 | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | BETA: splitting (13124) gives:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | (13125) all_55_15 = e2
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (13125) are inconsistent by
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | sub-proof #2502.
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | (13126) ~ (all_55_15 = e2)
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | (13127) all_55_15 = e1 | all_55_15 = e0
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | BETA: splitting (13127) gives:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | (13128) all_55_15 = e1
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (13121), (13128) are inconsistent by
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | sub-proof #2501.
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | (13129) all_55_15 = e0
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (13129) imply:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | (13130) all_4_2 = e0
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | SIMP: (13130) implies:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | (13131) all_4_2 = e0
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (13131) imply:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | (13132) ~ (all_53_12 = e0)
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (13131) imply:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | (13133) ~ (all_53_14 = e0)
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (13131) imply:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | (13134) ~ (e2 = e0)
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | REDUCE: (13121), (13131) imply:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | (13135) ~ (e1 = e0)
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | (13136) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | (13075), (13094), (13136), (function-axioms) are
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1654.
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | (13137) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13137) gives:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | (13138) all_57_6 = e0 & op(e1, e3) = e0
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13138) implies:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | (13139) op(e1, e3) = e0
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | (13140) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (171), (13065), (13094), (13140),
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | #1321.
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | (13141) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13141) gives:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | (13142) all_57_4 = e0 & op(e3, e1) = e0
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (100), (164), (170), (191), (12083), (12084),
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | (12097), (13110), (13112), (13117), (13118),
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | (13119), (13139), (13142), (function-axioms) are
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #143.
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | (13143) all_57_9 = e0 & op(e3, e0) = e0
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (13132), (13143), (function-axioms) are
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2434.
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | (13144) all_57_12 = e0 & op(e0, e3) = e0
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13144) implies:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | (13145) all_57_12 = e0
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | (13146) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_2 = e3
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13146) gives:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | (13147) all_57_0 = e3 & op(e3, e3) = e3
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13147) implies:
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | | (13148) op(e3, e3) = e3
% 224.03/38.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13094), (13148), (function-axioms) are
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2490.
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | (13149) all_57_2 = e3 & op(e2, e3) = e3
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13149) implies:
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | (13150) all_57_2 = e3
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (13151) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (13094), (13150), (13151),
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | #753.
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (13152) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13152) gives:
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13153) all_57_6 = e1 & op(e1, e3) = e1
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13153) implies:
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13154) all_57_6 = e1
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13155) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13155) gives:
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13156) all_57_6 = e0 & op(e1, e3) = e0
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13154), (13156) are inconsistent by
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2347.
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13157) all_57_7 = e0 & op(e1, e2) = e0
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13157) implies:
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13158) all_57_7 = e0
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (227), (228), (229),
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (237), (13075), (13076), (13094),
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13158), (function-axioms) are inconsistent by
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1296.
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13159) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13159) gives:
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13160) all_57_8 = e0 & op(e1, e1) = e0
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12096), (13075), (13150), (13160) are
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #142.
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13161) all_57_11 = e0 & op(e1, e0) = e0
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (13133), (13161), (function-axioms) are
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2341.
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13162) all_57_12 = e1 & op(e0, e3) = e1
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13162) implies:
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13163) all_57_12 = e1
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13145), (13163) are inconsistent by
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2014.
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | (13164) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_12 =
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13164) gives:
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | (13165) all_57_6 = e3 & op(e1, e3) = e3
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (12085), (13165), (function-axioms) are
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #153.
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | (13166) all_57_12 = e3 & op(e0, e3) = e3
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13166) implies:
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | (13167) all_57_12 = e3
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13145), (13167) are inconsistent by
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2153.
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | | End of split
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | | End of split
% 224.03/38.29 | | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | End of split
% 224.03/38.29 | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.29 | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | (13168) all_30_2 = e1
% 224.03/38.29 | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (36), (330), (12097), (13109), (13111),
% 224.03/38.29 | | | | | | | | | | | | | | | | | | (13168), (function-axioms) are inconsistent by
% 224.03/38.29 | | | | | | | | | | | | | | | | | | sub-proof #150.
% 224.03/38.29 | | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | End of split
% 224.03/38.29 | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.29 | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | (13169) all_57_1 = e2 & op(e3, e2) = e2
% 224.03/38.29 | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | ALPHA: (13169) implies:
% 224.03/38.29 | | | | | | | | | | | | | | | | | (13170) all_57_1 = e2
% 224.03/38.29 | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (237),
% 224.03/38.29 | | | | | | | | | | | | | | | | | (13094), (13170), (function-axioms) are
% 224.03/38.29 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1655.
% 224.03/38.29 | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | End of split
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | Case 2:
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | (13171) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 224.03/38.29 | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | BETA: splitting (13171) gives:
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.29 | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | (13172) all_57_4 = e2 & op(e3, e1) = e2
% 224.03/38.29 | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | ALPHA: (13172) implies:
% 224.03/38.29 | | | | | | | | | | | | | | | | | (13173) all_57_4 = e2
% 224.03/38.29 | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (171), (231), (233),
% 224.03/38.29 | | | | | | | | | | | | | | | | | (237), (13065), (13094), (13173),
% 224.03/38.29 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.03/38.29 | | | | | | | | | | | | | | | | | #1320.
% 224.03/38.29 | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.29 | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | (13174) all_57_9 = e2 & op(e3, e0) = e2
% 224.03/38.29 | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | ALPHA: (13174) implies:
% 224.03/38.29 | | | | | | | | | | | | | | | | | (13175) op(e3, e0) = e2
% 224.03/38.29 | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (13093), (13175), (function-axioms) are
% 224.03/38.29 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2331.
% 224.03/38.29 | | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | End of split
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | End of split
% 224.03/38.29 | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | End of split
% 224.03/38.29 | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | End of split
% 224.03/38.29 | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | End of split
% 224.03/38.29 | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | Case 2:
% 224.03/38.29 | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | (13176) all_18_2 = e0
% 224.03/38.29 | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | COMBINE_EQS: (327), (13176) imply:
% 224.03/38.29 | | | | | | | | | | | | (13177) all_10_2 = e0
% 224.03/38.29 | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | SIMP: (13177) implies:
% 224.03/38.29 | | | | | | | | | | | | (13178) all_10_2 = e0
% 224.03/38.29 | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | REDUCE: (340), (13178) imply:
% 224.03/38.29 | | | | | | | | | | | | (13179) ~ (all_53_2 = e0)
% 224.03/38.29 | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | REDUCE: (346), (13178) imply:
% 224.03/38.29 | | | | | | | | | | | | (13180) ~ (all_53_8 = e0)
% 224.03/38.29 | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | REDUCE: (45), (13178) imply:
% 224.03/38.29 | | | | | | | | | | | | (13181) op(e3, e3) = e0
% 224.03/38.29 | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | BETA: splitting (214) gives:
% 224.03/38.29 | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | Case 1:
% 224.03/38.29 | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | (13182) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 224.03/38.29 | | | | | | | | | | | | | & op(e1, e2) = e0)
% 224.03/38.29 | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | REF_CLOSE: (163), (164), (13066), (13179), (13182),
% 224.03/38.29 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.03/38.29 | | | | | | | | | | | | | #2038.
% 224.03/38.29 | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | Case 2:
% 224.03/38.29 | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | (13183) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 224.03/38.29 | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 224.03/38.29 | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | BETA: splitting (13183) gives:
% 224.03/38.29 | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | Case 1:
% 224.03/38.29 | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | (13184) all_57_8 = e0 & op(e1, e1) = e0
% 224.03/38.29 | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | REF_CLOSE: (7), (12096), (13184) are inconsistent by
% 224.03/38.29 | | | | | | | | | | | | | | sub-proof #170.
% 224.03/38.29 | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | Case 2:
% 224.03/38.29 | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | (13185) all_57_11 = e0 & op(e1, e0) = e0
% 224.03/38.29 | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | ALPHA: (13185) implies:
% 224.03/38.29 | | | | | | | | | | | | | | (13186) op(e1, e0) = e0
% 224.03/38.29 | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 224.03/38.29 | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | Case 1:
% 224.03/38.29 | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | (13187) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 224.03/38.29 | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 224.03/38.29 | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | REF_CLOSE: (166), (170), (13068), (13180), (13187),
% 224.03/38.29 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.03/38.29 | | | | | | | | | | | | | | | #141.
% 224.03/38.29 | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | Case 2:
% 224.03/38.29 | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | (13188) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 224.03/38.29 | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 224.03/38.29 | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | BETA: splitting (13188) gives:
% 224.03/38.29 | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | Case 1:
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | (13189) all_57_8 = e0 & op(e1, e1) = e0
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12096), (13189) are inconsistent by
% 224.03/38.29 | | | | | | | | | | | | | | | | sub-proof #162.
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | Case 2:
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | (13190) all_57_14 = e0 & op(e0, e1) = e0
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | ALPHA: (13190) implies:
% 224.03/38.29 | | | | | | | | | | | | | | | | (13191) all_57_14 = e0
% 224.03/38.29 | | | | | | | | | | | | | | | | (13192) op(e0, e1) = e0
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (36), (39), (91), (107), (158),
% 224.03/38.29 | | | | | | | | | | | | | | | | (161), (190), (208), (209), (210), (244), (295),
% 224.03/38.29 | | | | | | | | | | | | | | | | (368), (372), (373), (12101), (13076), (13181),
% 224.03/38.29 | | | | | | | | | | | | | | | | (13186), (13191), (13192), (function-axioms) are
% 224.03/38.29 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1226.
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | End of split
% 224.03/38.29 | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | End of split
% 224.03/38.29 | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | End of split
% 224.03/38.29 | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | End of split
% 224.03/38.29 | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | End of split
% 224.03/38.29 | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | End of split
% 224.03/38.29 | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | Case 2:
% 224.03/38.29 | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | (13193) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 224.03/38.29 | | | | | | | | | | e0 & op(e0, e2) = e0)
% 224.03/38.29 | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | REF_CLOSE: (159), (163), (13066), (13067), (13193),
% 224.03/38.29 | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.03/38.29 | | | | | | | | | | #2024.
% 224.03/38.29 | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | End of split
% 224.03/38.29 | | | | | | | | |
% 224.03/38.29 | | | | | | | | End of split
% 224.03/38.29 | | | | | | | |
% 224.03/38.29 | | | | | | | Case 2:
% 224.03/38.29 | | | | | | | |
% 224.03/38.29 | | | | | | | | (13194) all_12_2 = e3
% 224.03/38.29 | | | | | | | | (13195) ( ~ (all_12_0 = e2) & op(all_12_1, e0) = all_12_0 &
% 224.03/38.29 | | | | | | | | op(e0, e3) = all_12_1 & $i(all_12_0) &
% 224.03/38.29 | | | | | | | | $i(all_12_1)) | ( ~ (all_12_1 = e1) & op(e0, e3) =
% 224.03/38.29 | | | | | | | | all_12_1 & $i(all_12_1))
% 224.03/38.29 | | | | | | | |
% 224.03/38.29 | | | | | | | | COMBINE_EQS: (325), (13194) imply:
% 224.03/38.29 | | | | | | | | (13196) all_4_2 = e3
% 224.03/38.29 | | | | | | | |
% 224.03/38.29 | | | | | | | | COMBINE_EQS: (318), (13196) imply:
% 224.03/38.29 | | | | | | | | (13197) all_22_2 = e3
% 224.03/38.29 | | | | | | | |
% 224.03/38.29 | | | | | | | | REDUCE: (370), (13196) imply:
% 224.03/38.29 | | | | | | | | (13198) ~ (all_53_12 = e3)
% 224.03/38.29 | | | | | | | |
% 224.03/38.29 | | | | | | | | REDUCE: (371), (13196) imply:
% 224.03/38.29 | | | | | | | | (13199) ~ (all_53_13 = e3)
% 224.03/38.29 | | | | | | | |
% 224.03/38.29 | | | | | | | | BETA: splitting (213) gives:
% 224.03/38.29 | | | | | | | |
% 224.03/38.29 | | | | | | | | Case 1:
% 224.03/38.29 | | | | | | | | |
% 224.03/38.29 | | | | | | | | | (13200) (all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 = e3
% 224.03/38.29 | | | | | | | | | & op(e2, e0) = e3)
% 224.03/38.29 | | | | | | | | |
% 224.03/38.29 | | | | | | | | | REF_CLOSE: (165), (169), (13198), (13199), (13200),
% 224.03/38.29 | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.03/38.29 | | | | | | | | | #2300.
% 224.03/38.29 | | | | | | | | |
% 224.03/38.29 | | | | | | | | Case 2:
% 224.03/38.29 | | | | | | | | |
% 224.03/38.29 | | | | | | | | | (13201) (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 =
% 224.03/38.29 | | | | | | | | | e3 & op(e0, e0) = e3)
% 224.03/38.29 | | | | | | | | |
% 224.03/38.29 | | | | | | | | | BETA: splitting (13201) gives:
% 224.03/38.29 | | | | | | | | |
% 224.03/38.29 | | | | | | | | | Case 1:
% 224.03/38.29 | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | (13202) all_57_11 = e3 & op(e1, e0) = e3
% 224.03/38.29 | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | ALPHA: (13202) implies:
% 224.03/38.29 | | | | | | | | | | (13203) op(e1, e0) = e3
% 224.03/38.29 | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | REF_CLOSE: (161), (12090), (13203), (function-axioms) are
% 224.03/38.29 | | | | | | | | | | inconsistent by sub-proof #2330.
% 224.03/38.29 | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | Case 2:
% 224.03/38.29 | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | (13204) all_57_15 = e3 & op(e0, e0) = e3
% 224.03/38.29 | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | ALPHA: (13204) implies:
% 224.03/38.29 | | | | | | | | | | (13205) all_57_15 = e3
% 224.03/38.29 | | | | | | | | | | (13206) op(e0, e0) = e3
% 224.03/38.29 | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | BETA: splitting (225) gives:
% 224.03/38.29 | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | Case 1:
% 224.03/38.29 | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | (13207) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 224.03/38.29 | | | | | | | | | | | & op(e2, e2) = e3)
% 224.03/38.29 | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | BETA: splitting (13207) gives:
% 224.03/38.29 | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | Case 1:
% 224.03/38.29 | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | (13208) all_57_2 = e3 & op(e2, e3) = e3
% 224.03/38.29 | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | ALPHA: (13208) implies:
% 224.03/38.29 | | | | | | | | | | | | (13209) all_57_2 = e3
% 224.03/38.29 | | | | | | | | | | | | (13210) op(e2, e3) = e3
% 224.03/38.29 | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | BETA: splitting (229) gives:
% 224.03/38.29 | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | Case 1:
% 224.03/38.29 | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | (13211) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 224.03/38.29 | | | | | | | | | | | | | & op(e2, e2) = e3)
% 224.03/38.29 | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | BETA: splitting (13211) gives:
% 224.03/38.29 | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | Case 1:
% 224.03/38.29 | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | (13212) all_57_1 = e3 & op(e3, e2) = e3
% 224.03/38.29 | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | ALPHA: (13212) implies:
% 224.03/38.29 | | | | | | | | | | | | | | (13213) all_57_1 = e3
% 224.03/38.29 | | | | | | | | | | | | | | (13214) op(e3, e2) = e3
% 224.03/38.29 | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_1, e3,
% 224.03/38.29 | | | | | | | | | | | | | | e3, e2, simplifying with (168), (13210) gives:
% 224.03/38.29 | | | | | | | | | | | | | | (13215) all_53_1 = e3
% 224.03/38.29 | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_4, e3,
% 224.03/38.29 | | | | | | | | | | | | | | e2, e3, simplifying with (171), (13214) gives:
% 224.03/38.29 | | | | | | | | | | | | | | (13216) all_53_4 = e3
% 224.03/38.29 | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | REDUCE: (149), (13215) imply:
% 224.03/38.29 | | | | | | | | | | | | | | (13217) ~ (all_53_3 = e3)
% 224.03/38.29 | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | SIMP: (13217) implies:
% 224.03/38.29 | | | | | | | | | | | | | | (13218) ~ (all_53_3 = e3)
% 224.03/38.29 | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | REDUCE: (136), (13216) imply:
% 224.03/38.29 | | | | | | | | | | | | | | (13219) ~ (all_53_7 = e3)
% 224.03/38.29 | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | SIMP: (13219) implies:
% 224.03/38.29 | | | | | | | | | | | | | | (13220) ~ (all_53_7 = e3)
% 224.03/38.29 | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | REDUCE: (134), (13216) imply:
% 224.03/38.29 | | | | | | | | | | | | | | (13221) ~ (all_53_12 = e3)
% 224.03/38.29 | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | REDUCE: (344), (13216) imply:
% 224.03/38.29 | | | | | | | | | | | | | | (13222) ~ (all_10_2 = e3)
% 224.03/38.29 | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | SIMP: (13222) implies:
% 224.03/38.29 | | | | | | | | | | | | | | (13223) ~ (all_10_2 = e3)
% 224.03/38.29 | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | REDUCE: (352), (13216) imply:
% 224.03/38.29 | | | | | | | | | | | | | | (13224) ~ (all_8_2 = e3)
% 224.03/38.29 | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 224.03/38.29 | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | Case 1:
% 224.03/38.29 | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | (13225) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.03/38.29 | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.03/38.29 | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.03/38.29 | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.03/38.29 | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.03/38.29 | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.03/38.29 | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.03/38.29 | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 224.03/38.29 | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 224.03/38.29 | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 224.03/38.29 | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 224.03/38.29 | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 224.03/38.29 | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 224.03/38.29 | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 224.03/38.29 | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 224.03/38.29 | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | BETA: splitting (13225) gives:
% 224.03/38.29 | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | Case 1:
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | (13226) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.03/38.29 | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.03/38.29 | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.03/38.29 | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.03/38.29 | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.03/38.29 | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.03/38.29 | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.03/38.29 | | | | | | | | | | | | | | | | $i(all_52_7)
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | ALPHA: (13226) implies:
% 224.03/38.29 | | | | | | | | | | | | | | | | (13227) op(e3, e2) = all_52_3
% 224.03/38.29 | | | | | | | | | | | | | | | | (13228) op(e3, e3) = all_52_1
% 224.03/38.29 | | | | | | | | | | | | | | | | (13229) op(all_52_3, all_52_3) = e2
% 224.03/38.29 | | | | | | | | | | | | | | | | (13230) op(all_52_1, all_52_1) = e3
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_52_3,
% 224.03/38.29 | | | | | | | | | | | | | | | | e2, e3, simplifying with (13214), (13227) gives:
% 224.03/38.29 | | | | | | | | | | | | | | | | (13231) all_52_3 = e3
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_2,
% 224.03/38.29 | | | | | | | | | | | | | | | | all_52_1, e3, e3, simplifying with (45), (13228)
% 224.03/38.29 | | | | | | | | | | | | | | | | gives:
% 224.03/38.29 | | | | | | | | | | | | | | | | (13232) all_52_1 = all_10_2
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | REDUCE: (13230), (13232) imply:
% 224.03/38.29 | | | | | | | | | | | | | | | | (13233) op(all_10_2, all_10_2) = e3
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | REDUCE: (13229), (13231) imply:
% 224.03/38.29 | | | | | | | | | | | | | | | | (13234) op(e3, e3) = e2
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_2, e2,
% 224.03/38.29 | | | | | | | | | | | | | | | | e3, e3, simplifying with (45), (13234) gives:
% 224.03/38.29 | | | | | | | | | | | | | | | | (13235) all_10_2 = e2
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | REDUCE: (13233), (13235) imply:
% 224.03/38.29 | | | | | | | | | | | | | | | | (13236) op(e2, e2) = e3
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | REF_CLOSE: (42), (12098), (13236), (function-axioms) are
% 224.03/38.29 | | | | | | | | | | | | | | | | inconsistent by sub-proof #140.
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | Case 2:
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | (13237) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 224.03/38.29 | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 224.03/38.29 | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 224.03/38.29 | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 224.03/38.29 | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 224.03/38.29 | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 224.03/38.29 | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 224.03/38.29 | | | | | | | | | | | | | | | | $i(all_52_15)
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | ALPHA: (13237) implies:
% 224.03/38.29 | | | | | | | | | | | | | | | | (13238) op(e2, e3) = all_52_9
% 224.03/38.29 | | | | | | | | | | | | | | | | (13239) op(all_52_9, all_52_9) = e3
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_52_9,
% 224.03/38.29 | | | | | | | | | | | | | | | | e3, e2, simplifying with (13210), (13238) gives:
% 224.03/38.29 | | | | | | | | | | | | | | | | (13240) all_52_9 = e3
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | REDUCE: (13239), (13240) imply:
% 224.03/38.29 | | | | | | | | | | | | | | | | (13241) op(e3, e3) = e3
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_2, e3,
% 224.03/38.29 | | | | | | | | | | | | | | | | e3, e3, simplifying with (45), (13241) gives:
% 224.03/38.29 | | | | | | | | | | | | | | | | (13242) all_10_2 = e3
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | REDUCE: (13223), (13242) imply:
% 224.03/38.29 | | | | | | | | | | | | | | | | (13243) $false
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | CLOSE: (13243) is inconsistent.
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | End of split
% 224.03/38.29 | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | Case 2:
% 224.03/38.29 | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | (13244) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 224.03/38.29 | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 224.03/38.29 | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.03/38.29 | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 224.03/38.29 | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 224.03/38.29 | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 224.03/38.29 | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 224.03/38.29 | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 224.03/38.29 | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 224.03/38.29 | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 224.03/38.29 | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.03/38.29 | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 224.03/38.29 | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 224.03/38.29 | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 224.03/38.29 | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 224.03/38.29 | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 224.03/38.29 | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | BETA: splitting (13244) gives:
% 224.03/38.29 | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | Case 1:
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | (13245) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 224.03/38.29 | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 224.03/38.29 | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.03/38.29 | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 224.03/38.29 | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 224.03/38.29 | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 224.03/38.29 | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 224.03/38.29 | | | | | | | | | | | | | | | | $i(all_52_23)
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | ALPHA: (13245) implies:
% 224.03/38.29 | | | | | | | | | | | | | | | | (13246) op(e1, e1) = all_52_21
% 224.03/38.29 | | | | | | | | | | | | | | | | (13247) op(all_52_21, all_52_21) = e1
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | REF_CLOSE: (45), (12097), (12099), (13246), (13247),
% 224.03/38.29 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.03/38.29 | | | | | | | | | | | | | | | | #167.
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | Case 2:
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | (13248) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 224.03/38.29 | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 224.03/38.29 | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.03/38.29 | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 224.03/38.29 | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 224.03/38.29 | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 224.03/38.29 | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 224.03/38.29 | | | | | | | | | | | | | | | | $i(all_52_31)
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | ALPHA: (13248) implies:
% 224.03/38.29 | | | | | | | | | | | | | | | | (13249) op(e0, e0) = all_52_31
% 224.03/38.29 | | | | | | | | | | | | | | | | (13250) op(e0, e1) = all_52_29
% 224.03/38.29 | | | | | | | | | | | | | | | | (13251) op(e0, e2) = all_52_27
% 224.03/38.29 | | | | | | | | | | | | | | | | (13252) op(e0, e3) = all_52_25
% 224.03/38.29 | | | | | | | | | | | | | | | | (13253) op(all_52_31, all_52_31) = e0
% 224.03/38.29 | | | | | | | | | | | | | | | | (13254) op(all_52_29, all_52_29) = e1
% 224.03/38.29 | | | | | | | | | | | | | | | | (13255) op(all_52_27, all_52_27) = e2
% 224.03/38.29 | | | | | | | | | | | | | | | | (13256) op(all_52_25, all_52_25) = e3
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 224.03/38.29 | | | | | | | | | | | | | | | | all_52_31, e0, e0, simplifying with (13206),
% 224.03/38.29 | | | | | | | | | | | | | | | | (13249) gives:
% 224.03/38.29 | | | | | | | | | | | | | | | | (13257) all_52_31 = e3
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_11,
% 224.03/38.29 | | | | | | | | | | | | | | | | all_52_29, e1, e0, simplifying with (158), (13250)
% 224.03/38.29 | | | | | | | | | | | | | | | | gives:
% 224.03/38.29 | | | | | | | | | | | | | | | | (13258) all_53_11 = all_52_29
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_7,
% 224.03/38.29 | | | | | | | | | | | | | | | | all_52_27, e2, e0, simplifying with (159), (13251)
% 224.03/38.29 | | | | | | | | | | | | | | | | gives:
% 224.03/38.29 | | | | | | | | | | | | | | | | (13259) all_53_7 = all_52_27
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_3,
% 224.03/38.29 | | | | | | | | | | | | | | | | all_52_25, e3, e0, simplifying with (160), (13252)
% 224.03/38.29 | | | | | | | | | | | | | | | | gives:
% 224.03/38.29 | | | | | | | | | | | | | | | | (13260) all_53_3 = all_52_25
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | REDUCE: (13218), (13260) imply:
% 224.03/38.29 | | | | | | | | | | | | | | | | (13261) ~ (all_52_25 = e3)
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | REDUCE: (126), (13258), (13259) imply:
% 224.03/38.29 | | | | | | | | | | | | | | | | (13262) ~ (all_52_27 = all_52_29)
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | REDUCE: (356), (13259) imply:
% 224.03/38.29 | | | | | | | | | | | | | | | | (13263) ~ (all_52_27 = all_8_2)
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | REDUCE: (13220), (13259) imply:
% 224.03/38.29 | | | | | | | | | | | | | | | | (13264) ~ (all_52_27 = e3)
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | REDUCE: (12089), (13258) imply:
% 224.03/38.29 | | | | | | | | | | | | | | | | (13265) ~ (all_52_29 = e3)
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.29 | | | | | | | | | | | | | | | | REDUCE: (13253), (13257) imply:
% 224.03/38.29 | | | | | | | | | | | | | | | | (13266) op(e3, e3) = e0
% 224.03/38.29 | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_2, e0,
% 224.03/38.30 | | | | | | | | | | | | | | | | e3, e3, simplifying with (45), (13266) gives:
% 224.03/38.30 | | | | | | | | | | | | | | | | (13267) all_10_2 = e0
% 224.03/38.30 | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | REDUCE: (340), (13267) imply:
% 224.03/38.30 | | | | | | | | | | | | | | | | (13268) ~ (all_53_2 = e0)
% 224.03/38.30 | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | REDUCE: (346), (13267) imply:
% 224.03/38.30 | | | | | | | | | | | | | | | | (13269) ~ (all_53_8 = e0)
% 224.03/38.30 | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | REDUCE: (348), (13267) imply:
% 224.03/38.30 | | | | | | | | | | | | | | | | (13270) ~ (all_53_12 = e0)
% 224.03/38.30 | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | REDUCE: (13223), (13267) imply:
% 224.03/38.30 | | | | | | | | | | | | | | | | (13271) ~ (e3 = e0)
% 224.03/38.30 | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | REDUCE: (12099), (13267) imply:
% 224.03/38.30 | | | | | | | | | | | | | | | | (13272) ~ (e1 = e0)
% 224.03/38.30 | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 224.03/38.30 | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.30 | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | (13273) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 224.03/38.30 | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 224.03/38.30 | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | BETA: splitting (13273) gives:
% 224.03/38.30 | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.30 | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | (13274) all_57_0 = e0 & op(e3, e3) = e0
% 224.03/38.30 | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | ALPHA: (13274) implies:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | (13275) all_57_0 = e0
% 224.03/38.30 | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | BETA: splitting (52) gives:
% 224.03/38.30 | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | (13276) ~ (all_14_2 = e0)
% 224.03/38.30 | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | REDUCE: (328), (13276) imply:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | (13277) ~ (all_8_2 = e0)
% 224.03/38.30 | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | BETA: splitting (55) gives:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | (13278) ~ (all_16_2 = e1)
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | REDUCE: (324), (13278) imply:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | (13279) ~ (all_8_2 = e1)
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | (13280) all_55_5 = e3
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (13280) imply:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | (13281) all_8_2 = e3
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (12098), (13281) imply:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | (13282) $false
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | CLOSE: (13282) is inconsistent.
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | (13283) ~ (all_55_5 = e3)
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | (13284) all_55_5 = e2 | all_55_5 = e1 | all_55_5 = e0
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13284) gives:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | (13285) all_55_5 = e2
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (13285) imply:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | (13286) all_8_2 = e2
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (358), (13286) imply:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | (13287) ~ (all_53_9 = e2)
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (13286) imply:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | (13288) ~ (all_53_13 = e2)
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12098), (13286) imply:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | (13289) ~ (e3 = e2)
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (42), (13286) imply:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | (13290) op(e2, e2) = e2
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | (13291) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13291) gives:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | (13292) all_57_2 = e2 & op(e2, e3) = e2
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13292) implies:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | (13293) all_57_2 = e2
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (211), (212),
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (225), (13205), (13206), (13290),
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | (13293), (function-axioms) are inconsistent by
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1169.
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | (13294) all_57_3 = e2 & op(e2, e2) = e2
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13294) implies:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | (13295) all_57_3 = e2
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | (13296) ~ (all_22_2 = e3)
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13197), (13296) imply:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | (13297) $false
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13297) is inconsistent.
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | (13298) ( ~ (all_22_0 = e1) & op(all_22_1, e0) = all_22_0
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_22_1 & $i(all_22_0) &
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)) | ( ~ (all_22_1 = e2) & op(e0, e3)
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (13299) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_5 = e2
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13299) gives:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13300) all_57_4 = e2 & op(e3, e1) = e2
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13300) implies:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13301) all_57_4 = e2
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13302) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13302) gives:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13303) all_57_0 = e1 & op(e3, e3) = e1
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13303) implies:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13304) op(e3, e3) = e1
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13206), (13249), (13253), (13304),
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #283.
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13305) all_57_1 = e1 & op(e3, e2) = e1
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13213), (13305) are inconsistent by
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2453.
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13306) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13306) gives:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13307) all_57_4 = e1 & op(e3, e1) = e1
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13307) implies:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13308) all_57_4 = e1
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13301), (13308) are inconsistent by
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2430.
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13309) all_57_9 = e1 & op(e3, e0) = e1
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13309) implies:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13310) all_57_9 = e1
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13311) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (169), (231),
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (237), (13198), (13288), (13301), (13311),
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #171.
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13312) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13312) gives:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13313) all_57_11 = e2 & op(e1, e0) = e2
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13313) implies:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13314) all_57_11 = e2
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13315) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13315) gives:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13316) all_57_6 = e0 & op(e1, e3) = e0
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13316) implies:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13317) op(e1, e3) = e0
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (13268), (13317), (function-axioms) are
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2154.
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13318) all_57_7 = e0 & op(e1, e2) = e0
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13318) implies:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13319) all_57_7 = e0
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (207), (209),
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (232), (234), (373), (13195), (13206),
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13209), (13213), (13249), (13251), (13252),
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13253), (13255), (13256), (13266), (13290),
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13298), (13319), (function-axioms) are
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #137.
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13320) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13320) gives:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13321) all_57_8 = e0 & op(e1, e1) = e0
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13321) implies:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13322) all_57_8 = e0
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12096), (13322) imply:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13323) e3 = e0
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13323) implies:
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13324) e3 = e0
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.03/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13213), (13324) imply:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13325) all_57_1 = e0
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (169), (235), (237), (13198),
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13266), (13310), (13325), (function-axioms) are
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2400.
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13326) all_57_11 = e0 & op(e1, e0) = e0
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13326) implies:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13327) all_57_11 = e0
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13314), (13327) imply:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13328) e2 = e0
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13301), (13328) imply:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13329) all_57_4 = e0
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (169), (235), (237), (13198),
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13266), (13310), (13329), (function-axioms) are
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1403.
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13330) all_57_15 = e2 & op(e0, e0) = e2
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13330) implies:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13331) op(e0, e0) = e2
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (13331), (function-axioms) are
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2334.
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13332) all_57_5 = e2 & op(e2, e1) = e2
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (13287), (13332), (function-axioms) are
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1858.
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (13333) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_14 =
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13333) gives:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13334) all_57_8 = e2 & op(e1, e1) = e2
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13334) implies:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13335) all_57_8 = e2
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12096), (13335) imply:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13336) e3 = e2
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13336) implies:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13337) e3 = e2
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13213), (13337) imply:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13338) all_57_1 = e2
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (207), (208),
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (211), (212), (226), (227), (228), (229),
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (235), (237), (13198), (13205),
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13206), (13266), (13270), (13275), (13290),
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13295), (13338), (function-axioms) are
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #839.
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13339) all_57_14 = e2 & op(e0, e1) = e2
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13339) implies:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13340) all_57_14 = e2
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13341) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13341) gives:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13342) all_57_4 = e0 & op(e3, e1) = e0
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13342) implies:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13343) op(e3, e1) = e0
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (13269), (13343), (function-axioms) are
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13344) all_57_5 = e0 & op(e2, e1) = e0
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13344) implies:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13345) all_57_5 = e0
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13346) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13346) gives:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13347) all_57_2 = e1 & op(e2, e3) = e1
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13347) implies:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13348) all_57_2 = e1
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13209), (13348) are inconsistent by
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2397.
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13349) all_57_3 = e1 & op(e2, e2) = e1
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13349) implies:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13350) op(e2, e2) = e1
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13290), (13350), (function-axioms) are
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13351) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13351) gives:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13352) all_57_5 = e1 & op(e2, e1) = e1
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13345), (13352) are inconsistent by
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2361.
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13353) all_57_10 = e1 & op(e2, e0) = e1
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13353) implies:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13354) all_57_10 = e1
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13355) all_57_15 = e0 & op(e0, e0) = e0
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13355) implies:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13356) op(e0, e0) = e0
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (161), (169), (213), (12090), (13198),
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13354), (13356), (function-axioms) are
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2302.
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13357) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13357) implies:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13358) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (232), (234), (13206),
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13209), (13249), (13251), (13253), (13255),
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13266), (13340), (13358), (function-axioms) are
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #138.
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13359) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13359) gives:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13360) all_57_8 = e0 & op(e1, e1) = e0
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13360) implies:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13361) all_57_8 = e0
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12096), (13361) imply:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13362) e3 = e0
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (207), (208),
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (211), (212), (227), (228), (229), (231),
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (237), (13198), (13205), (13206),
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13213), (13266), (13270), (13275), (13295),
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13362), (function-axioms) are inconsistent by
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #881.
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13363) all_57_14 = e0 & op(e0, e1) = e0
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13363) implies:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13364) all_57_14 = e0
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13340), (13364) are inconsistent by
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2422.
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | (13365) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13365) gives:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | (13366) all_57_5 = e2 & op(e2, e1) = e2
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (13287), (13366), (function-axioms) are
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1858.
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | (13367) all_57_10 = e2 & op(e2, e0) = e2
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (13288), (13367), (function-axioms) are
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2432.
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | (13368) all_55_5 = e1 | all_55_5 = e0
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (266), (13277), (13279), (13368) are inconsistent
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1857.
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | (13369) all_16_2 = e1
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (324), (13369) imply:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | (13370) all_8_2 = e1
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | SIMP: (13370) implies:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | (13371) all_8_2 = e1
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | REDUCE: (358), (13371) imply:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | (13372) ~ (all_53_9 = e1)
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (13371) imply:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | (13373) ~ (all_53_13 = e1)
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | REDUCE: (13263), (13371) imply:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | (13374) ~ (all_52_27 = e1)
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | REDUCE: (12098), (13371) imply:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | (13375) ~ (e3 = e1)
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | REDUCE: (42), (13371) imply:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | (13376) op(e2, e2) = e1
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | (13377) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13377) gives:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | (13378) all_57_2 = e1 & op(e2, e3) = e1
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13378) implies:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | (13379) all_57_2 = e1
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (211), (212),
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | (222), (224), (225), (13205), (13206), (13376),
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | (13379), (function-axioms) are inconsistent by
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | sub-proof #814.
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | (13380) all_57_3 = e1 & op(e2, e2) = e1
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13380) implies:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | (13381) all_57_3 = e1
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | (13382) ~ (all_22_2 = e3)
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13197), (13382) imply:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | (13383) $false
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13383) is inconsistent.
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | (13384) ( ~ (all_22_0 = e1) & op(all_22_1, e0) = all_22_0
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_22_1 & $i(all_22_0) &
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)) | ( ~ (all_22_1 = e2) & op(e0, e3)
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | (13385) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13385) gives:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | (13386) all_57_0 = e1 & op(e3, e3) = e1
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13386) implies:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | (13387) op(e3, e3) = e1
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13206), (13249), (13253), (13387),
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | #283.
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | (13388) all_57_1 = e1 & op(e3, e2) = e1
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13388) implies:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | (13389) all_57_1 = e1
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (166), (223),
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | (226), (228), (229), (13209), (13372), (13373),
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | (13389), (function-axioms) are inconsistent by
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1907.
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | (13390) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13390) gives:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | (13391) all_57_4 = e1 & op(e3, e1) = e1
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13391) implies:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | (13392) all_57_4 = e1
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (13393) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (13214), (13266), (13393),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | #1195.
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (13394) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13394) gives:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13395) all_57_4 = e2 & op(e3, e1) = e2
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13395) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13396) all_57_4 = e2
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (219), (222),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (232), (234), (12097), (13206), (13209),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13249), (13251), (13253), (13255), (13266),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13376), (13396), (function-axioms) are
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #136.
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13397) all_57_9 = e2 & op(e3, e0) = e2
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13397) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13398) all_57_9 = e2
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13399) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 =
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13399) gives:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13400) all_57_9 = e1 & op(e3, e0) = e1
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13400) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13401) all_57_9 = e1
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (219), (222),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (232), (234), (235), (12097), (13206),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13209), (13214), (13249), (13251), (13253),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13255), (13266), (13376), (13401),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #135.
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13402) all_57_10 = e1 & op(e2, e0) = e1
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (13373), (13402), (function-axioms) are
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2084.
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13403) (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 =
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13403) gives:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13404) all_57_11 = e1 & op(e1, e0) = e1
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13404) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13405) all_57_11 = e1
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13406) all_57_15 = e0 & op(e0, e0) = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13406) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13407) op(e0, e0) = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13206), (13407), (function-axioms) are
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13408) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13408) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13409) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13410) (all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 & op(e1,
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13410) gives:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13411) all_57_9 = e0 & op(e3, e0) = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (13270), (13411), (function-axioms) are
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2434.
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13412) (all_57_10 = e0 & op(e2, e0) = e0) | (all_57_11 =
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13412) gives:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13413) all_57_10 = e0 & op(e2, e0) = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13413) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13414) all_57_10 = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13415) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (13209), (13376), (13415),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1799.
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13416) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13416) gives:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13417) all_57_5 = e2 & op(e2, e1) = e2
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13417) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13418) all_57_5 = e2
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13419) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13419) gives:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13420) all_57_6 = e0 & op(e1, e3) = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13420) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13421) op(e1, e3) = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (13268), (13421), (function-axioms) are
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2154.
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13422) all_57_7 = e0 & op(e1, e2) = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13422) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13423) all_57_7 = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13424) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13424) gives:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13425) all_57_1 = e2 & op(e3, e2) = e2
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13425) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13426) op(e3, e2) = e2
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13214), (13426), (function-axioms) are
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1549.
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13427) all_57_3 = e2 & op(e2, e2) = e2
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13427) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13428) op(e2, e2) = e2
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (207), (209),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (232), (234), (373), (13195), (13206),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13209), (13213), (13249), (13251), (13252),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13253), (13255), (13256), (13266), (13384),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13423), (13428), (function-axioms) are
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #137.
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13429) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13429) gives:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13430) all_57_7 = e2 & op(e1, e2) = e2
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13423), (13430) are inconsistent by
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #364.
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13431) all_57_13 = e2 & op(e0, e2) = e2
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13431) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13432) all_57_13 = e2
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13433) op(e0, e2) = e2
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13434) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_7 = e2
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13434) gives:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13435) all_57_6 = e2 & op(e1, e3) = e2
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13435) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13436) all_57_6 = e2
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13437) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13437) gives:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13438) all_57_4 = e0 & op(e3, e1) = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13438) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13439) all_57_4 = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (226), (228),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (233), (235), (237), (13198), (13266),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13275), (13376), (13439), (function-axioms) are
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1012.
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13440) all_57_5 = e0 & op(e2, e1) = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (208), (209), (228),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (13205), (13206), (13376), (13409),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13418), (13423), (13432), (13440),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #134.
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13441) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13441) gives:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13442) all_57_8 = e0 & op(e1, e1) = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13442) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13443) all_57_8 = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12096), (13443) imply:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13444) e3 = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13213), (13444) imply:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13445) all_57_1 = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (207), (208),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (226), (227), (228), (229), (233), (235),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (13198), (13205), (13206), (13266),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13275), (13376), (13381), (13445),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #824.
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13446) all_57_14 = e0 & op(e0, e1) = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13446) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13447) all_57_14 = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13448) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13448) gives:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13449) all_57_0 = e1 & op(e3, e3) = e1
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13449) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13450) all_57_0 = e1
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13451) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13451) gives:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13274), (13450) are inconsistent by
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1812.
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13452) all_57_1 = e0 & op(e3, e2) = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13213), (13452) are inconsistent by
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1811.
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13453) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (170), (13269), (13398), (13453),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1972.
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13454) all_57_2 = e1 & op(e2, e3) = e1
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13454) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13455) all_57_2 = e1
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (208), (209), (236),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13205), (13266), (13436), (13447), (13455),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #894.
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13456) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13456) gives:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13457) all_57_6 = e1 & op(e1, e3) = e1
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13457) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13458) all_57_6 = e1
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13436), (13458) imply:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13459) e2 = e1
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (222), (224), (13209),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13376), (13418), (13459), (function-axioms) are
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #133.
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13460) all_57_12 = e1 & op(e0, e3) = e1
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13460) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13461) all_57_12 = e1
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13462) op(e0, e3) = e1
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13463) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13463) gives:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13464) all_57_2 = e0 & op(e2, e3) = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13464) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13465) all_57_2 = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (208), (209), (234),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (13205), (13266), (13447), (13461),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13465), (function-axioms) are inconsistent by
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1555.
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13466) all_57_3 = e0 & op(e2, e2) = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13466) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13467) all_57_3 = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13468) op(e2, e2) = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (227), (229), (13423),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13432), (13467), (13468), (function-axioms) are
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2202.
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13469) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13469) gives:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13470) all_57_5 = e0 & op(e2, e1) = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (208), (209), (228),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (13205), (13206), (13376), (13409),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13418), (13423), (13432), (13470),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #134.
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13446) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13471) op(e0, e1) = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_29,
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (13250), (13471)
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13472) all_52_29 = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_27,
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e2, e0, simplifying with (13251), (13433)
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13473) all_52_27 = e2
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_25,
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, e0, simplifying with (13252), (13462)
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13474) all_52_25 = e1
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13264), (13473) imply:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13475) ~ (e3 = e2)
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13254), (13472) imply:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13476) op(e0, e0) = e1
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (209), (210), (13447),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13461), (13476), (function-axioms) are
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2070.
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13477) all_57_7 = e2 & op(e1, e2) = e2
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13477) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13478) all_57_7 = e2
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (13376), (13432), (13478),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1696.
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13479) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_11 =
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13479) gives:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13480) all_57_8 = e2 & op(e1, e1) = e2
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12096), (13480) are inconsistent by
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #165.
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13481) all_57_11 = e2 & op(e1, e0) = e2
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13481) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13482) all_57_11 = e2
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13405), (13482) imply:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13483) e2 = e1
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (222), (224), (13209),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13376), (13418), (13483), (function-axioms) are
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #133.
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13484) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13484) gives:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13485) all_57_8 = e0 & op(e1, e1) = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13485) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13486) all_57_8 = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12096), (13486) imply:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13487) e3 = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13487) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13488) e3 = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13213), (13488) imply:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13489) all_57_1 = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (207), (208),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (226), (227), (228), (229), (233), (235),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (13198), (13205), (13206), (13266),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13275), (13376), (13381), (13489),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #824.
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13490) all_57_11 = e0 & op(e1, e0) = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13490) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13491) all_57_11 = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (211), (212), (13205),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13206), (13414), (13491), (function-axioms) are
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1087.
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13492) all_57_10 = e2 & op(e2, e0) = e2
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13492) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13493) all_57_10 = e2
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13414), (13493) are inconsistent by
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2138.
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13494) all_57_11 = e0 & op(e1, e0) = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13494) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13495) all_57_11 = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13405), (13495) imply:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13496) e1 = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13392), (13496) imply:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13497) all_57_4 = e0
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (226), (228),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (233), (235), (237), (13198), (13266),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13275), (13376), (13497), (function-axioms) are
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1012.
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13498) all_57_15 = e1 & op(e0, e0) = e1
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13498) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13499) op(e0, e0) = e1
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13206), (13499), (function-axioms) are
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2183.
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | (13500) all_57_9 = e1 & op(e3, e0) = e1
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13500) implies:
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | (13501) all_57_9 = e1
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (219), (222),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | (224), (232), (234), (235), (12097), (13206),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | (13209), (13214), (13249), (13251), (13253),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | (13255), (13266), (13376), (13501),
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | | #135.
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.31 | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | (13502) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13502) gives:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | (13503) all_57_5 = e1 & op(e2, e1) = e1
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13503) implies:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | (13504) all_57_5 = e1
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (222), (224), (13209),
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | (13376), (13504), (function-axioms) are
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #555.
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | (13505) all_57_10 = e1 & op(e2, e0) = e1
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (13373), (13505), (function-axioms) are
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2084.
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.32 | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | (13506) all_14_2 = e0
% 224.12/38.32 | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (13506) imply:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | (13507) all_8_2 = e0
% 224.12/38.32 | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | SIMP: (13507) implies:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | (13508) all_8_2 = e0
% 224.12/38.32 | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | REDUCE: (354), (13508) imply:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | (13509) ~ (all_53_6 = e0)
% 224.12/38.32 | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | REDUCE: (358), (13508) imply:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | (13510) ~ (all_53_9 = e0)
% 224.12/38.32 | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | REDUCE: (360), (13508) imply:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | (13511) ~ (all_53_13 = e0)
% 224.12/38.32 | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | (13512) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (170), (13269), (13510), (13512),
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | #141.
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | (13513) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | BETA: splitting (13513) gives:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | (13514) all_57_8 = e0 & op(e1, e1) = e0
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12096), (13514) are inconsistent by
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | sub-proof #170.
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | (13515) all_57_14 = e0 & op(e0, e1) = e0
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | ALPHA: (13515) implies:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | (13516) op(e0, e1) = e0
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | (13517) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13517) gives:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | (13518) all_57_2 = e0 & op(e2, e3) = e0
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13209), (13518) are inconsistent by
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1805.
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | (13519) all_57_3 = e0 & op(e2, e2) = e0
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13519) implies:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | (13520) all_57_3 = e0
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | | (13521) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (164), (13268), (13509), (13521),
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | | #2038.
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | | (13522) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13522) gives:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | | | (13523) all_57_8 = e0 & op(e1, e1) = e0
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | | | (12096), (13209), (13520), (13523) are
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #142.
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_29,
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (13250), (13516)
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | | | (13524) all_52_29 = e0
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13254), (13524) imply:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | | | (13525) op(e0, e0) = e1
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13206), (13525), (function-axioms) are
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2183.
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | (13526) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (166), (13510), (13511), (13526),
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | | #2022.
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.32 | | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | End of split
% 224.12/38.32 | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.32 | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | (13527) all_57_2 = e0 & op(e2, e3) = e0
% 224.12/38.32 | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13209), (13527) are inconsistent by
% 224.12/38.32 | | | | | | | | | | | | | | | | | | sub-proof #1805.
% 224.12/38.32 | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | End of split
% 224.12/38.32 | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.32 | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | (13528) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 224.12/38.32 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 224.12/38.32 | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | BETA: splitting (13528) gives:
% 224.12/38.32 | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | Case 1:
% 224.12/38.32 | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | (13529) all_57_6 = e0 & op(e1, e3) = e0
% 224.12/38.32 | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | ALPHA: (13529) implies:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | (13530) op(e1, e3) = e0
% 224.12/38.32 | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (13268), (13530), (function-axioms) are
% 224.12/38.32 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2154.
% 224.12/38.32 | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | Case 2:
% 224.12/38.32 | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | (13531) all_57_12 = e0 & op(e0, e3) = e0
% 224.12/38.32 | | | | | | | | | | | | | | | | | |
% 224.12/38.32 | | | | | | | | | | | | | | | | | | ALPHA: (13531) implies:
% 224.12/38.32 | | | | | | | | | | | | | | | | | | (13532) all_57_12 = e0
% 224.12/38.32 | | | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (232), (234), (13206),
% 224.22/38.32 | | | | | | | | | | | | | | | | | | (13209), (13249), (13253), (13266), (13532),
% 224.22/38.32 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.32 | | | | | | | | | | | | | | | | | | #139.
% 224.22/38.32 | | | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | | | End of split
% 224.22/38.32 | | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | | End of split
% 224.22/38.32 | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | End of split
% 224.22/38.32 | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | End of split
% 224.22/38.32 | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | Case 2:
% 224.22/38.32 | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | (13533) all_57_3 = e3 & op(e2, e2) = e3
% 224.22/38.32 | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | ALPHA: (13533) implies:
% 224.22/38.32 | | | | | | | | | | | | | | (13534) op(e2, e2) = e3
% 224.22/38.32 | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_2, e3,
% 224.22/38.32 | | | | | | | | | | | | | | e2, e2, simplifying with (42), (13534) gives:
% 224.22/38.32 | | | | | | | | | | | | | | (13535) all_8_2 = e3
% 224.22/38.32 | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | REDUCE: (12098), (13535) imply:
% 224.22/38.32 | | | | | | | | | | | | | | (13536) $false
% 224.22/38.32 | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | CLOSE: (13536) is inconsistent.
% 224.22/38.32 | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | End of split
% 224.22/38.32 | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | Case 2:
% 224.22/38.32 | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | (13537) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 224.22/38.32 | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 224.22/38.32 | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | BETA: splitting (13537) gives:
% 224.22/38.32 | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | Case 1:
% 224.22/38.32 | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | (13538) all_57_7 = e3 & op(e1, e2) = e3
% 224.22/38.32 | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | REF_CLOSE: (163), (12086), (13538), (function-axioms) are
% 224.22/38.32 | | | | | | | | | | | | | | inconsistent by sub-proof #267.
% 224.22/38.32 | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | Case 2:
% 224.22/38.32 | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | (13539) all_57_13 = e3 & op(e0, e2) = e3
% 224.22/38.32 | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | ALPHA: (13539) implies:
% 224.22/38.32 | | | | | | | | | | | | | | (13540) all_57_13 = e3
% 224.22/38.32 | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (208), (209),
% 224.22/38.32 | | | | | | | | | | | | | | (13205), (13206), (13540), (function-axioms) are
% 224.22/38.32 | | | | | | | | | | | | | | inconsistent by sub-proof #1792.
% 224.22/38.32 | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | End of split
% 224.22/38.32 | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | End of split
% 224.22/38.32 | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | Case 2:
% 224.22/38.32 | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | (13541) all_57_3 = e3 & op(e2, e2) = e3
% 224.22/38.32 | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | ALPHA: (13541) implies:
% 224.22/38.32 | | | | | | | | | | | | (13542) op(e2, e2) = e3
% 224.22/38.32 | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | REF_CLOSE: (42), (12098), (13542), (function-axioms) are
% 224.22/38.32 | | | | | | | | | | | | inconsistent by sub-proof #140.
% 224.22/38.32 | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | End of split
% 224.22/38.32 | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | Case 2:
% 224.22/38.32 | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | (13543) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 224.22/38.32 | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 224.22/38.32 | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | BETA: splitting (13543) gives:
% 224.22/38.32 | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | Case 1:
% 224.22/38.32 | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | (13544) all_57_5 = e3 & op(e2, e1) = e3
% 224.22/38.32 | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | REF_CLOSE: (166), (12088), (13544), (function-axioms) are
% 224.22/38.32 | | | | | | | | | | | | inconsistent by sub-proof #270.
% 224.22/38.32 | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | Case 2:
% 224.22/38.32 | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | (13545) all_57_10 = e3 & op(e2, e0) = e3
% 224.22/38.32 | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | ALPHA: (13545) implies:
% 224.22/38.32 | | | | | | | | | | | | (13546) all_57_10 = e3
% 224.22/38.32 | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (211), (212),
% 224.22/38.32 | | | | | | | | | | | | (13205), (13206), (13546), (function-axioms) are
% 224.22/38.32 | | | | | | | | | | | | inconsistent by sub-proof #1746.
% 224.22/38.32 | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | End of split
% 224.22/38.32 | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | End of split
% 224.22/38.32 | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | End of split
% 224.22/38.32 | | | | | | | | |
% 224.22/38.32 | | | | | | | | End of split
% 224.22/38.32 | | | | | | | |
% 224.22/38.32 | | | | | | | End of split
% 224.22/38.32 | | | | | | |
% 224.22/38.32 | | | | | | Case 2:
% 224.22/38.32 | | | | | | |
% 224.22/38.32 | | | | | | | (13547) all_10_2 = e1
% 224.22/38.32 | | | | | | | (13548) ( ~ (all_10_0 = e2) & op(all_10_1, e3) = all_10_0 &
% 224.22/38.32 | | | | | | | op(e3, e1) = all_10_1 & $i(all_10_0) & $i(all_10_1))
% 224.22/38.32 | | | | | | | | ( ~ (all_10_1 = e0) & op(e3, e1) = all_10_1 &
% 224.22/38.32 | | | | | | | $i(all_10_1))
% 224.22/38.32 | | | | | | |
% 224.22/38.32 | | | | | | | COMBINE_EQS: (331), (13547) imply:
% 224.22/38.32 | | | | | | | (13549) all_36_2 = e1
% 224.22/38.32 | | | | | | |
% 224.22/38.32 | | | | | | | REDUCE: (338), (13547) imply:
% 224.22/38.32 | | | | | | | (13550) ~ (all_53_1 = e1)
% 224.22/38.32 | | | | | | |
% 224.22/38.32 | | | | | | | REDUCE: (340), (13547) imply:
% 224.22/38.32 | | | | | | | (13551) ~ (all_53_2 = e1)
% 224.22/38.32 | | | | | | |
% 224.22/38.32 | | | | | | | REDUCE: (342), (13547) imply:
% 224.22/38.32 | | | | | | | (13552) ~ (all_53_3 = e1)
% 224.22/38.32 | | | | | | |
% 224.22/38.32 | | | | | | | REDUCE: (344), (13547) imply:
% 224.22/38.32 | | | | | | | (13553) ~ (all_53_4 = e1)
% 224.22/38.32 | | | | | | |
% 224.22/38.32 | | | | | | | REDUCE: (346), (13547) imply:
% 224.22/38.32 | | | | | | | (13554) ~ (all_53_8 = e1)
% 224.22/38.32 | | | | | | |
% 224.22/38.32 | | | | | | | BETA: splitting (232) gives:
% 224.22/38.32 | | | | | | |
% 224.22/38.32 | | | | | | | Case 1:
% 224.22/38.32 | | | | | | | |
% 224.22/38.32 | | | | | | | | (13555) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1 &
% 224.22/38.32 | | | | | | | | op(e2, e3) = e1)
% 224.22/38.32 | | | | | | | |
% 224.22/38.32 | | | | | | | | BETA: splitting (13555) gives:
% 224.22/38.32 | | | | | | | |
% 224.22/38.32 | | | | | | | | Case 1:
% 224.22/38.32 | | | | | | | | |
% 224.22/38.32 | | | | | | | | | (13556) all_57_0 = e1 & op(e3, e3) = e1
% 224.22/38.32 | | | | | | | | |
% 224.22/38.32 | | | | | | | | | ALPHA: (13556) implies:
% 224.22/38.32 | | | | | | | | | (13557) all_57_0 = e1
% 224.22/38.32 | | | | | | | | | (13558) op(e3, e3) = e1
% 224.22/38.32 | | | | | | | | |
% 224.22/38.32 | | | | | | | | | BETA: splitting (49) gives:
% 224.22/38.32 | | | | | | | | |
% 224.22/38.32 | | | | | | | | | Case 1:
% 224.22/38.32 | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | (13559) ~ (all_12_2 = e3)
% 224.22/38.32 | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | REDUCE: (325), (13559) imply:
% 224.22/38.32 | | | | | | | | | | (13560) ~ (all_4_2 = e3)
% 224.22/38.32 | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | BETA: splitting (52) gives:
% 224.22/38.32 | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | Case 1:
% 224.22/38.32 | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | (13561) ~ (all_14_2 = e0)
% 224.22/38.32 | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | REDUCE: (328), (13561) imply:
% 224.22/38.32 | | | | | | | | | | | (13562) ~ (all_8_2 = e0)
% 224.22/38.32 | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | BETA: splitting (55) gives:
% 224.22/38.32 | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | Case 1:
% 224.22/38.32 | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | (13563) ~ (all_16_2 = e1)
% 224.22/38.32 | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | REDUCE: (324), (13563) imply:
% 224.22/38.32 | | | | | | | | | | | | (13564) ~ (all_8_2 = e1)
% 224.22/38.32 | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | BETA: splitting (200) gives:
% 224.22/38.32 | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | Case 1:
% 224.22/38.32 | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | (13565) all_55_5 = e3
% 224.22/38.32 | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | REF_CLOSE: (266), (12098), (13565) are inconsistent by
% 224.22/38.32 | | | | | | | | | | | | | sub-proof #293.
% 224.22/38.32 | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | Case 2:
% 224.22/38.32 | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | (13566) ~ (all_55_5 = e3)
% 224.22/38.32 | | | | | | | | | | | | | (13567) all_55_5 = e2 | all_55_5 = e1 | all_55_5 = e0
% 224.22/38.32 | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | BETA: splitting (13567) gives:
% 224.22/38.32 | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | Case 1:
% 224.22/38.32 | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | (13568) all_55_5 = e2
% 224.22/38.32 | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | COMBINE_EQS: (266), (13568) imply:
% 224.22/38.32 | | | | | | | | | | | | | | (13569) all_8_2 = e2
% 224.22/38.32 | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | SIMP: (13569) implies:
% 224.22/38.32 | | | | | | | | | | | | | | (13570) all_8_2 = e2
% 224.22/38.32 | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | REDUCE: (349), (13570) imply:
% 224.22/38.32 | | | | | | | | | | | | | | (13571) ~ (all_53_1 = e2)
% 224.22/38.32 | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | REDUCE: (352), (13570) imply:
% 224.22/38.32 | | | | | | | | | | | | | | (13572) ~ (all_53_4 = e2)
% 224.22/38.32 | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | REDUCE: (354), (13570) imply:
% 224.22/38.32 | | | | | | | | | | | | | | (13573) ~ (all_53_6 = e2)
% 224.22/38.32 | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | REDUCE: (356), (13570) imply:
% 224.22/38.32 | | | | | | | | | | | | | | (13574) ~ (all_53_7 = e2)
% 224.22/38.32 | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | REDUCE: (358), (13570) imply:
% 224.22/38.32 | | | | | | | | | | | | | | (13575) ~ (all_53_9 = e2)
% 224.22/38.32 | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | REDUCE: (360), (13570) imply:
% 224.22/38.32 | | | | | | | | | | | | | | (13576) ~ (all_53_13 = e2)
% 224.22/38.32 | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | REDUCE: (12098), (13570) imply:
% 224.22/38.32 | | | | | | | | | | | | | | (13577) ~ (e3 = e2)
% 224.22/38.32 | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | REDUCE: (42), (13570) imply:
% 224.22/38.32 | | | | | | | | | | | | | | (13578) op(e2, e2) = e2
% 224.22/38.32 | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 224.22/38.32 | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | Case 1:
% 224.22/38.32 | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | (13579) ~ (all_30_2 = e1)
% 224.22/38.32 | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | REDUCE: (330), (13579) imply:
% 224.22/38.32 | | | | | | | | | | | | | | | (13580) ~ (all_4_2 = e1)
% 224.22/38.32 | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 224.22/38.32 | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | Case 1:
% 224.22/38.32 | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | | (13581) all_55_15 = e3
% 224.22/38.32 | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | | REF_CLOSE: (244), (13560), (13581) are inconsistent by
% 224.22/38.32 | | | | | | | | | | | | | | | | sub-proof #2503.
% 224.22/38.32 | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | Case 2:
% 224.22/38.32 | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | | (13582) ~ (all_55_15 = e3)
% 224.22/38.32 | | | | | | | | | | | | | | | | (13583) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 224.22/38.32 | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | | BETA: splitting (13583) gives:
% 224.22/38.32 | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.32 | | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | | | (13584) all_55_15 = e2
% 224.22/38.32 | | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (13584) are inconsistent by
% 224.22/38.32 | | | | | | | | | | | | | | | | | sub-proof #2502.
% 224.22/38.32 | | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.32 | | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | | | (13585) ~ (all_55_15 = e2)
% 224.22/38.32 | | | | | | | | | | | | | | | | | (13586) all_55_15 = e1 | all_55_15 = e0
% 224.22/38.32 | | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | | | BETA: splitting (13586) gives:
% 224.22/38.32 | | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.32 | | | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | | | | (13587) all_55_15 = e1
% 224.22/38.32 | | | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (13580), (13587) are inconsistent by
% 224.22/38.32 | | | | | | | | | | | | | | | | | | sub-proof #2501.
% 224.22/38.32 | | | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.32 | | | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | | | | (13588) all_55_15 = e0
% 224.22/38.32 | | | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (13588) imply:
% 224.22/38.32 | | | | | | | | | | | | | | | | | | (13589) all_4_2 = e0
% 224.22/38.32 | | | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | | | | SIMP: (13589) implies:
% 224.22/38.32 | | | | | | | | | | | | | | | | | | (13590) all_4_2 = e0
% 224.22/38.32 | | | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | | | | REDUCE: (351), (13590) imply:
% 224.22/38.32 | | | | | | | | | | | | | | | | | | (13591) ~ (all_53_3 = e0)
% 224.22/38.32 | | | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | | | | REDUCE: (362), (13590) imply:
% 224.22/38.32 | | | | | | | | | | | | | | | | | | (13592) ~ (all_53_7 = e0)
% 224.22/38.32 | | | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | | | | REDUCE: (369), (13590) imply:
% 224.22/38.32 | | | | | | | | | | | | | | | | | | (13593) ~ (all_53_11 = e0)
% 224.22/38.32 | | | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | | | | REDUCE: (370), (13590) imply:
% 224.22/38.32 | | | | | | | | | | | | | | | | | | (13594) ~ (all_53_12 = e0)
% 224.22/38.32 | | | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | | | | REDUCE: (371), (13590) imply:
% 224.22/38.32 | | | | | | | | | | | | | | | | | | (13595) ~ (all_53_13 = e0)
% 224.22/38.32 | | | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | | | | REDUCE: (372), (13590) imply:
% 224.22/38.32 | | | | | | | | | | | | | | | | | | (13596) ~ (all_53_14 = e0)
% 224.22/38.32 | | | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | | | | REDUCE: (13560), (13590) imply:
% 224.22/38.32 | | | | | | | | | | | | | | | | | | (13597) ~ (e3 = e0)
% 224.22/38.32 | | | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | | | | REDUCE: (13580), (13590) imply:
% 224.22/38.32 | | | | | | | | | | | | | | | | | | (13598) ~ (e1 = e0)
% 224.22/38.32 | | | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 224.22/38.32 | | | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.32 | | | | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | | | | | (13599) all_57_15 = e0 & op(e0, e0) = e0
% 224.22/38.32 | | | | | | | | | | | | | | | | | | |
% 224.22/38.32 | | | | | | | | | | | | | | | | | | | ALPHA: (13599) implies:
% 224.22/38.32 | | | | | | | | | | | | | | | | | | | (13600) all_57_15 = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | (13601) op(e0, e0) = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | (13602) ~ (all_36_2 = e1)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | REDUCE: (13549), (13602) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | (13603) $false
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | CLOSE: (13603) is inconsistent.
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | (13604) ( ~ (all_36_0 = e0) & op(all_36_1, e3) = all_36_0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_36_1 & $i(all_36_0) &
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | $i(all_36_1)) | ( ~ (all_36_1 = e2) & op(e3, e1)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | (13605) all_55_4 = e3
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (13605) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | (13606) all_53_1 = e3
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | SIMP: (13606) implies:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | (13607) all_53_1 = e3
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (13607) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | (13608) ~ (all_53_2 = e3)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (13607) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | (13609) ~ (all_53_3 = e3)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | SIMP: (13609) implies:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | (13610) ~ (all_53_3 = e3)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (13607) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | (13611) ~ (all_53_9 = e3)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (13607) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | (13612) ~ (all_53_13 = e3)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | SIMP: (13612) implies:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | (13613) ~ (all_53_13 = e3)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | (13614) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13614) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | (13615) all_57_2 = e3 & op(e2, e3) = e3
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13615) implies:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | (13616) all_57_2 = e3
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | (13617) all_55_12 = e3
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (13617) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | (13618) all_53_3 = e3
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13610), (13618) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | (13619) $false
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13619) is inconsistent.
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | (13620) ~ (all_55_12 = e3)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | (13621) all_55_12 = e2 | all_55_12 = e1 | all_55_12 = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13621) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | (13622) all_55_12 = e2
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (13622) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | (13623) all_53_3 = e2
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (13623) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | (13624) ~ (all_53_2 = e2)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (13623) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | (13625) ~ (all_53_7 = e2)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (13623) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | (13626) ~ (all_53_11 = e2)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13626) implies:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | (13627) ~ (all_53_11 = e2)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (13628) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 =
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13628) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13629) all_57_12 = e3 & op(e0, e3) = e3
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13629) implies:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13630) op(e0, e3) = e3
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (13610), (13630), (function-axioms) are
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #132.
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13631) all_57_13 = e3 & op(e0, e2) = e3
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13631) implies:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13632) all_57_13 = e3
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13633) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (171), (13553), (13578), (13633),
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #362.
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13634) (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_13 =
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13634) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13635) all_57_7 = e1 & op(e1, e2) = e1
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13635) implies:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13636) all_57_7 = e1
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13637) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_2 = e2
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (168), (13558), (13571), (13637),
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #355.
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13638) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_12 =
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13638) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13639) all_57_6 = e2 & op(e1, e3) = e2
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13639) implies:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13640) all_57_6 = e2
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (145), (160), (197), (230), (257),
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12085), (13551), (13557), (13616), (13624),
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13640), (function-axioms) are inconsistent by
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #131.
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13641) all_57_12 = e2 & op(e0, e3) = e2
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13641) implies:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13642) all_57_12 = e2
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13643) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13643) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13644) all_57_1 = e0 & op(e3, e2) = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13644) implies:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13645) all_57_1 = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13646) op(e3, e2) = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13647) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_7 = e2
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13647) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13648) all_57_6 = e2 & op(e1, e3) = e2
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13648) implies:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13649) all_57_6 = e2
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13650) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13650) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13651) all_57_0 = e0 & op(e3, e3) = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13651) implies:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13652) all_57_0 = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (232), (13616), (13642), (13649),
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13652) are inconsistent by sub-proof #1927.
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13653) all_57_2 = e0 & op(e2, e3) = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13616), (13653) are inconsistent by
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1805.
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13654) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13654) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13655) all_57_6 = e0 & op(e1, e3) = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13649), (13655) are inconsistent by
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2386.
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13656) all_57_12 = e0 & op(e0, e3) = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (160), (197), (257), (12085), (13551),
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13624), (13656), (function-axioms) are
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1369.
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13657) all_57_7 = e2 & op(e1, e2) = e2
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13657) implies:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13658) all_57_7 = e2
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (227), (13578), (13632), (13645),
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13658), (function-axioms) are inconsistent by
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1958.
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13659) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_11 =
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13659) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13660) all_57_8 = e2 & op(e1, e1) = e2
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12096), (13660) are inconsistent by
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #165.
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13661) all_57_11 = e2 & op(e1, e0) = e2
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13661) implies:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13662) all_57_11 = e2
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13663) op(e1, e0) = e2
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13664) all_55_14 = e3
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (13664) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13665) all_53_11 = e3
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12089), (13665) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13666) $false
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13666) is inconsistent.
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13667) all_55_14 = e2 | all_55_14 = e1 | all_55_14 = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13667) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13668) all_55_14 = e2
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (13668) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13669) all_53_11 = e2
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13627), (13669) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13670) $false
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13670) is inconsistent.
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13671) all_55_14 = e1 | all_55_14 = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13671) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13672) all_55_14 = e1
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (13672) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13673) all_53_11 = e1
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13673) implies:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13674) all_53_11 = e1
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (13674) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13675) ~ (all_53_7 = e1)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (13674) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13676) ~ (all_53_9 = e1)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (13674) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13677) op(e0, e1) = e1
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13678) all_55_6 = e3
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (12088), (13678) are inconsistent by
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2498.
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13679) all_55_6 = e2 | all_55_6 = e1 | all_55_6 = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13679) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13680) all_55_6 = e2
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (13575), (13680) are inconsistent by
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2398.
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13681) all_55_6 = e1 | all_55_6 = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13682) all_55_13 = e3
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (13682) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13683) all_53_7 = e3
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13683) implies:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13684) all_53_7 = e3
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (13684) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13685) ~ (all_53_4 = e3)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13686) all_55_1 = e3
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (13686) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13687) all_53_4 = e3
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13685), (13687) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13688) $false
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13688) is inconsistent.
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13689) ~ (all_55_1 = e3)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13690) all_55_1 = e2 | all_55_1 = e1 | all_55_1 = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13691) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (13578), (13616), (13691),
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #817.
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13692) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13692) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13693) all_57_5 = e0 & op(e2, e1) = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13693) implies:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13694) op(e2, e1) = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13695) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13695) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13696) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13696) implies:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13697) op(e3, e2) = all_52_3
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13698) op(all_52_3, all_52_3) = e2
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13601), (13646), (13697), (13698),
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2399.
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13699) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13699) implies:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13700) op(e2, e0) = all_52_15
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13701) op(e2, e1) = all_52_13
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13702) op(all_52_15, all_52_15) = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13703) op(all_52_13, all_52_13) = e1
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13690) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13704) all_55_1 = e2
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (13704) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13705) all_53_4 = e2
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13572), (13705) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13706) $false
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13706) is inconsistent.
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13707) ~ (all_55_1 = e2)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13708) all_55_1 = e1 | all_55_1 = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13708) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13709) all_55_1 = e1
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (13709) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13710) all_53_4 = e1
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13553), (13710) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13711) $false
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13711) is inconsistent.
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13712) all_55_1 = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (13712) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13713) all_53_4 = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (13713) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13714) ~ (all_53_6 = e0)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13714) implies:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13715) ~ (all_53_6 = e0)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13572), (13713) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13716) ~ (e2 = e0)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13717) all_55_9 = e3
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (12086), (13717) are inconsistent by
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2159.
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13718) ~ (all_55_9 = e3)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13719) all_55_9 = e2 | all_55_9 = e1 | all_55_9 = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13719) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13720) all_55_9 = e2
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (13573), (13720) are inconsistent by
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2274.
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13721) ~ (all_55_9 = e2)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13722) all_55_9 = e1 | all_55_9 = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13722) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13723) all_55_9 = e1
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (13723) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13724) all_53_6 = e1
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13724) implies:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13725) all_53_6 = e1
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12086), (13725) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13726) ~ (e3 = e1)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13573), (13725) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13727) ~ (e2 = e1)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_13, e1, e2, simplifying with (13694),
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13701) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13728) all_52_13 = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13703), (13728) imply:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13729) op(e0, e0) = e1
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (160), (169),
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (210), (13552), (13574),
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13591), (13594), (13662), (13700), (13702),
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13729), (function-axioms) are inconsistent by
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1895.
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13730) all_55_9 = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (13715), (13730) are inconsistent by
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2272.
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13731) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13731) gives:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13732) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13732) implies:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13733) op(e1, e0) = all_52_23
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13734) op(all_52_23, all_52_23) = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13578), (13663), (13733), (13734),
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2369.
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13735) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13735) implies:
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13736) op(e0, e1) = all_52_29
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13737) op(all_52_29, all_52_29) = e1
% 224.22/38.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (244), (373), (12097), (13583), (13677),
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13736), (13737), (function-axioms) are
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #130.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13738) all_57_10 = e0 & op(e2, e0) = e0
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (165), (259), (13676), (13681), (13738),
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2090.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13739) all_55_13 = e2 | all_55_13 = e1 | all_55_13 = e0
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (13574), (13592), (13675), (13739) are
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1601.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13740) all_55_14 = e0
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (245), (13593), (13740) are inconsistent by
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2288.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13741) all_57_3 = e0 & op(e2, e2) = e0
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13741) implies:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13742) op(e2, e2) = e0
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13578), (13742), (function-axioms) are
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2472.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13743) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (159), (13592), (13636), (13743),
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #261.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13744) all_57_13 = e1 & op(e0, e2) = e1
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13632), (13744) are inconsistent by
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2264.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (13745) (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 =
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13745) gives:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13746) all_57_14 = e3 & op(e0, e1) = e3
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (12089), (13746), (function-axioms) are
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #129.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13747) all_57_15 = e3 & op(e0, e0) = e3
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13747) implies:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13748) op(e0, e0) = e3
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (13601), (13748), (function-axioms) are
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | (13749) all_55_12 = e1 | all_55_12 = e0
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (13552), (13591), (13749) are inconsistent
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1992.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | (13750) all_57_3 = e3 & op(e2, e2) = e3
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13750) implies:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | (13751) op(e2, e2) = e3
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13578), (13751), (function-axioms) are
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2298.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | (13752) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (166), (12088), (13613), (13752),
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | #178.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | (13753) ~ (all_55_4 = e3)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | (13754) all_55_4 = e2 | all_55_4 = e1 | all_55_4 = e0
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | REDUCE: (267), (13753) imply:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | (13755) ~ (all_53_1 = e3)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | (13756) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (13578), (13755), (13756),
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | #2297.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | (13757) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13757) gives:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | (13758) all_57_5 = e3 & op(e2, e1) = e3
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (12088), (13758), (function-axioms) are
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #270.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | (13759) all_57_10 = e3 & op(e2, e0) = e3
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13759) implies:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | (13760) all_57_10 = e3
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | (13761) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (168), (13550), (13578), (13761),
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | #361.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | (13762) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13762) gives:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | (13763) all_57_5 = e1 & op(e2, e1) = e1
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13763) implies:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | (13764) op(e2, e1) = e1
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13754) gives:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (13765) all_55_4 = e2
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (13571), (13765) are inconsistent by
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2168.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (13766) all_55_4 = e1 | all_55_4 = e0
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13766) gives:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13767) all_55_4 = e1
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (13550), (13767) are inconsistent by
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2166.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13768) all_55_4 = e0
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (13768) imply:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13769) all_53_1 = e0
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13769) implies:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13770) all_53_1 = e0
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (13770) imply:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13771) ~ (all_53_2 = e0)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13771) implies:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13772) ~ (all_53_2 = e0)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (13770) imply:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13773) ~ (all_53_3 = e0)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (13770) imply:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13774) ~ (all_53_9 = e0)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13774) implies:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13775) ~ (all_53_9 = e0)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13776) all_55_8 = e3
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (12085), (13776) are inconsistent by
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2496.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13777) ~ (all_55_8 = e3)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13778) all_55_8 = e2 | all_55_8 = e1 | all_55_8 = e0
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13779) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13779) gives:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13780) all_57_6 = e0 & op(e1, e3) = e0
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13780) implies:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13781) op(e1, e3) = e0
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (13772), (13781), (function-axioms) are
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2154.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13782) all_57_7 = e0 & op(e1, e2) = e0
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13782) implies:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13783) all_57_7 = e0
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13784) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13784) gives:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13785) all_57_6 = e1 & op(e1, e3) = e1
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (13551), (13785), (function-axioms) are
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #316.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13786) all_57_7 = e1 & op(e1, e2) = e1
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13786) implies:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13787) all_57_7 = e1
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13783), (13787) are inconsistent by
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2211.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13788) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13788) gives:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13789) all_57_8 = e1 & op(e1, e1) = e1
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13789) implies:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13790) op(e1, e1) = e1
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12097), (13790), (function-axioms) are
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #156.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13791) all_57_11 = e1 & op(e1, e0) = e1
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13791) implies:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13792) op(e1, e0) = e1
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13778) gives:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13793) all_55_8 = e2
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (13793) imply:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13794) all_53_2 = e2
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13794) implies:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13795) all_53_2 = e2
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (13795) imply:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13796) ~ (all_53_3 = e2)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13796) implies:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13797) ~ (all_53_3 = e2)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13798) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (171), (13553), (13578), (13798),
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #362.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13799) (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_13 =
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13799) gives:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13800) all_57_7 = e1 & op(e1, e2) = e1
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13800) implies:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13801) all_57_7 = e1
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13783), (13801) are inconsistent by
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2211.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13802) all_57_13 = e1 & op(e0, e2) = e1
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13802) implies:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13803) all_57_13 = e1
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13804) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 =
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13804) gives:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13805) all_57_12 = e3 & op(e0, e3) = e3
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13805) implies:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13806) op(e0, e3) = e3
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13807) all_55_12 = e3
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (13807) imply:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13808) all_53_3 = e3
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13808) implies:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13809) all_53_3 = e3
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (13809) imply:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13810) ~ (all_53_7 = e3)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13810) implies:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13811) ~ (all_53_7 = e3)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13812) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13812) gives:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13813) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13813) implies:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13814) op(e3, e1) = all_52_5
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13815) op(all_52_5, all_52_5) = e1
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13816) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13816) gives:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13817) all_57_4 = e0 & op(e3, e1) = e0
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13817) implies:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13818) op(e3, e1) = e0
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13601), (13814), (13815), (13818),
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2167.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13819) all_57_5 = e0 & op(e2, e1) = e0
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (13775), (13819), (function-axioms) are
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2023.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13820) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (209), (210), (12096),
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13600), (13601), (13803), (13820),
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #128.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13821) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (192), (246), (12097), (13574), (13592), (13764),
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13811), (13821), (function-axioms) are
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #126.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13822) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13822) gives:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13823) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13823) implies:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13824) op(e1, e0) = all_52_23
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13825) op(all_52_23, all_52_23) = e0
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12097), (13792), (13824), (13825),
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #125.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13826) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13826) implies:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13827) op(e0, e3) = all_52_25
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13828) op(all_52_25, all_52_25) = e3
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13829) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13829) gives:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13830) all_57_4 = e0 & op(e3, e1) = e0
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13830) implies:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13831) op(e3, e1) = e0
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (193), (247), (13548), (13552), (13558),
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13591), (13604), (13827), (13828), (13831),
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #302.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13832) all_57_5 = e0 & op(e2, e1) = e0
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (13775), (13832), (function-axioms) are
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2023.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13833) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (209), (210), (12096),
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13600), (13601), (13803), (13833),
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #128.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13834) ~ (all_55_12 = e3)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (247), (13834) imply:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13835) ~ (all_53_3 = e3)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (13806), (13835), (function-axioms) are
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #132.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13836) all_57_13 = e3 & op(e0, e2) = e3
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13836) implies:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13837) all_57_13 = e3
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13803), (13837) are inconsistent by
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2268.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13838) (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 =
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (207), (211),
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (12089), (13760), (13838),
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #124.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13839) all_55_8 = e1 | all_55_8 = e0
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (13551), (13772), (13839) are inconsistent
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1974.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13840) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13840) gives:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13841) all_57_8 = e0 & op(e1, e1) = e0
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12096), (13841) are inconsistent by
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #170.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13842) all_57_11 = e0 & op(e1, e0) = e0
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (13596), (13842), (function-axioms) are
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2341.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | (13843) all_57_10 = e1 & op(e2, e0) = e1
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13760), (13843) are inconsistent by
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2349.
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.34 | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.34 | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | (13844) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 224.22/38.35 | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (165), (169), (13594), (13595), (13596),
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | (13844), (function-axioms) are inconsistent by
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | sub-proof #2112.
% 224.22/38.35 | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.35 | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | End of split
% 224.22/38.35 | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | End of split
% 224.22/38.35 | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | End of split
% 224.22/38.35 | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | (13845) all_30_2 = e1
% 224.22/38.35 | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | COMBINE_EQS: (330), (13845) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | (13846) all_4_2 = e1
% 224.22/38.35 | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | SIMP: (13846) implies:
% 224.22/38.35 | | | | | | | | | | | | | | | (13847) all_4_2 = e1
% 224.22/38.35 | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | REDUCE: (370), (13847) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | (13848) ~ (all_53_12 = e1)
% 224.22/38.35 | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | REDUCE: (371), (13847) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | (13849) ~ (all_53_13 = e1)
% 224.22/38.35 | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | REDUCE: (372), (13847) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | (13850) ~ (all_53_14 = e1)
% 224.22/38.35 | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | REDUCE: (13560), (13847) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | (13851) ~ (e3 = e1)
% 224.22/38.35 | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | REDUCE: (373), (13847) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | (13852) ~ (e2 = e1)
% 224.22/38.35 | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | REDUCE: (36), (13847) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | (13853) op(e0, e0) = e1
% 224.22/38.35 | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 224.22/38.35 | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | Case 1:
% 224.22/38.35 | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | (13854) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 224.22/38.35 | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 224.22/38.35 | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | BETA: splitting (13854) gives:
% 224.22/38.35 | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.35 | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | (13855) all_57_6 = e1 & op(e1, e3) = e1
% 224.22/38.35 | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (13551), (13855), (function-axioms) are
% 224.22/38.35 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #316.
% 224.22/38.35 | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | (13856) all_57_7 = e1 & op(e1, e2) = e1
% 224.22/38.35 | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | ALPHA: (13856) implies:
% 224.22/38.35 | | | | | | | | | | | | | | | | | (13857) op(e1, e2) = e1
% 224.22/38.35 | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 224.22/38.35 | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.35 | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | (13858) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 224.22/38.35 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 224.22/38.35 | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (168), (13550), (13578), (13858),
% 224.22/38.35 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.35 | | | | | | | | | | | | | | | | | | #361.
% 224.22/38.35 | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | (13859) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 224.22/38.35 | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 224.22/38.35 | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | BETA: splitting (13859) gives:
% 224.22/38.35 | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | (13860) all_57_5 = e1 & op(e2, e1) = e1
% 224.22/38.35 | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | ALPHA: (13860) implies:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | (13861) op(e2, e1) = e1
% 224.22/38.35 | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_6, e1,
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (163), (13857) gives:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | (13862) all_53_6 = e1
% 224.22/38.35 | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_9, e1,
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (166), (13861) gives:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | (13863) all_53_9 = e1
% 224.22/38.35 | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | REDUCE: (127), (13862) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | (13864) ~ (all_53_14 = e1)
% 224.22/38.35 | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | REDUCE: (118), (13863) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | (13865) ~ (all_53_13 = e1)
% 224.22/38.35 | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | (13866) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | BETA: splitting (13866) gives:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | (13867) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | ALPHA: (13867) implies:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | (13868) op(e3, e0) = all_52_7
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | (13869) op(e3, e3) = all_52_1
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | (13870) op(all_52_7, all_52_7) = e0
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_12,
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | all_52_7, e0, e3, simplifying with (169), (13868)
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | gives:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | (13871) all_53_12 = all_52_7
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_52_1,
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (13558), (13869) gives:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | (13872) all_52_1 = e1
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (13871) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | (13873) all_55_3 = all_52_7
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (13871) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | (13874) ~ (all_53_13 = all_52_7)
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | SIMP: (13874) implies:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | (13875) ~ (all_53_13 = all_52_7)
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (13871) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | (13876) ~ (all_53_14 = all_52_7)
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | SIMP: (13876) implies:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | (13877) ~ (all_53_14 = all_52_7)
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | REDUCE: (13848), (13871) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | (13878) ~ (all_52_7 = e1)
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | (13879) all_55_4 = e3
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (13879) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | (13880) all_53_1 = e3
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | SIMP: (13880) implies:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | (13881) all_53_1 = e3
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (13881) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | (13882) ~ (all_53_13 = e3)
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | SIMP: (13882) implies:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | (13883) ~ (all_53_13 = e3)
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | (13884) all_55_7 = e3
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (13883), (13884) are inconsistent by
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2109.
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | (13885) all_55_7 = e2 | all_55_7 = e1 | all_55_7 = e0
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13885) gives:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | (13886) all_55_7 = e2
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (13576), (13886) are inconsistent by
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2171.
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | (13887) all_55_7 = e1 | all_55_7 = e0
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13887) gives:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | (13888) all_55_7 = e1
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (13849), (13888) are inconsistent by
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1970.
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | (13889) all_55_7 = e0
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (13889) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | (13890) all_53_13 = e0
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13890) implies:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | (13891) all_53_13 = e0
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (13891) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | (13892) ~ (all_53_14 = e0)
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13892) implies:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | (13893) ~ (all_53_14 = e0)
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13849), (13891) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | (13894) ~ (e1 = e0)
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (13895) all_55_11 = e3
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (13895) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (13896) all_53_14 = e3
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12090), (13896) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (13897) $false
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13897) is inconsistent.
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (13898) all_55_11 = e2 | all_55_11 = e1 | all_55_11 = e0
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13898) gives:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13899) all_55_11 = e2
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (13899) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13900) all_53_14 = e2
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13877), (13900) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13901) ~ (all_52_7 = e2)
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13901) implies:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13902) ~ (all_52_7 = e2)
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13903) all_55_3 = e3
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13558), (13868), (13869), (13870), (13873),
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13903), (function-axioms) are inconsistent by
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #122.
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13904) all_55_3 = e2 | all_55_3 = e1 | all_55_3 = e0
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13853), (13868), (13870), (13873), (13878),
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13902), (13904), (function-axioms) are
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #230.
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13905) all_55_11 = e1 | all_55_11 = e0
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (13850), (13893), (13905) are inconsistent
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2307.
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | (13906) all_55_4 = e2 | all_55_4 = e1 | all_55_4 = e0
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13906) gives:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | (13907) all_55_4 = e2
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (13571), (13907) are inconsistent by
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2168.
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | (13908) all_55_4 = e1 | all_55_4 = e0
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13908) gives:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | (13909) all_55_4 = e1
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (13550), (13909) are inconsistent by
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2166.
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | (13910) all_55_4 = e0
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (13910) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | (13911) all_53_1 = e0
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13911) implies:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | (13912) all_53_1 = e0
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (13912) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | (13913) ~ (all_53_2 = e0)
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13913) implies:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | (13914) ~ (all_53_2 = e0)
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (13912) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | (13915) ~ (all_53_13 = e0)
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13915) implies:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | (13916) ~ (all_53_13 = e0)
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | (13917) all_55_8 = e3
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (13917) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | (13918) all_53_2 = e3
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12085), (13918) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | (13919) $false
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13919) is inconsistent.
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | (13920) all_55_8 = e2 | all_55_8 = e1 | all_55_8 = e0
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13920) gives:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (13921) all_55_8 = e2
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (13921) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (13922) all_53_2 = e2
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (142), (13922) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (13923) ~ (all_53_14 = e2)
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13923) implies:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (13924) ~ (all_53_14 = e2)
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13925) all_55_11 = e3
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (12090), (13925) are inconsistent by
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2497.
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13926) all_55_11 = e2 | all_55_11 = e1 | all_55_11 = e0
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13927) all_55_7 = e3
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (13927) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13928) all_53_13 = e3
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13928) implies:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13929) all_53_13 = e3
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13875), (13929) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13930) ~ (all_52_7 = e3)
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13930) implies:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13931) ~ (all_52_7 = e3)
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13926) gives:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13932) all_55_11 = e2
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (13924), (13932) are inconsistent by
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2282.
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13933) all_55_11 = e1 | all_55_11 = e0
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13933) gives:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13934) all_55_11 = e1
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (13850), (13934) are inconsistent by
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2309.
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13935) all_55_11 = e0
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (13935) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13936) all_53_14 = e0
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13936) implies:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13937) all_53_14 = e0
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13877), (13937) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13938) ~ (all_52_7 = e0)
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13938) implies:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13939) ~ (all_52_7 = e0)
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13940) all_55_3 = e3
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13873), (13931), (13940) are inconsistent by
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1451.
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13941) all_55_3 = e2 | all_55_3 = e1 | all_55_3 = e0
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13941) gives:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13942) all_55_3 = e2
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13578), (13870), (13873), (13939), (13942),
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #850.
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13943) all_55_3 = e1 | all_55_3 = e0
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13873), (13878), (13939), (13943) are
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #121.
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13944) all_55_7 = e2 | all_55_7 = e1 | all_55_7 = e0
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (13576), (13849), (13916), (13944) are
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #321.
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (13945) all_55_8 = e1 | all_55_8 = e0
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (13551), (13914), (13945) are inconsistent
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1974.
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | (13946) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12097), (13861), (13946), (function-axioms)
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #120.
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | (13947) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (12097), (13853), (13857), (13947),
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | | #118.
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.35 | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | (13948) all_57_10 = e1 & op(e2, e0) = e1
% 224.22/38.35 | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (13849), (13948), (function-axioms) are
% 224.22/38.35 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2084.
% 224.22/38.35 | | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.35 | | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | | End of split
% 224.22/38.35 | | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | End of split
% 224.22/38.35 | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | (13949) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 224.22/38.35 | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 224.22/38.35 | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | REF_CLOSE: (8), (161), (12097), (13850), (13949),
% 224.22/38.35 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.35 | | | | | | | | | | | | | | | | #117.
% 224.22/38.35 | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | End of split
% 224.22/38.35 | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | End of split
% 224.22/38.35 | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | (13950) all_55_5 = e1 | all_55_5 = e0
% 224.22/38.35 | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | REF_CLOSE: (266), (13562), (13564), (13950) are inconsistent
% 224.22/38.35 | | | | | | | | | | | | | | by sub-proof #1857.
% 224.22/38.35 | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | End of split
% 224.22/38.35 | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | End of split
% 224.22/38.35 | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | (13951) all_16_2 = e1
% 224.22/38.35 | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | COMBINE_EQS: (324), (13951) imply:
% 224.22/38.35 | | | | | | | | | | | | (13952) all_8_2 = e1
% 224.22/38.35 | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | SIMP: (13952) implies:
% 224.22/38.35 | | | | | | | | | | | | (13953) all_8_2 = e1
% 224.22/38.35 | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | REDUCE: (354), (13953) imply:
% 224.22/38.35 | | | | | | | | | | | | (13954) ~ (all_53_6 = e1)
% 224.22/38.35 | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | REDUCE: (358), (13953) imply:
% 224.22/38.35 | | | | | | | | | | | | (13955) ~ (all_53_9 = e1)
% 224.22/38.35 | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | REDUCE: (12098), (13953) imply:
% 224.22/38.35 | | | | | | | | | | | | (13956) ~ (e3 = e1)
% 224.22/38.35 | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | REDUCE: (42), (13953) imply:
% 224.22/38.35 | | | | | | | | | | | | (13957) op(e2, e2) = e1
% 224.22/38.35 | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | BETA: splitting (215) gives:
% 224.22/38.35 | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | Case 1:
% 224.22/38.35 | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | (13958) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 224.22/38.35 | | | | | | | | | | | | | & op(e1, e2) = e1)
% 224.22/38.35 | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | BETA: splitting (13958) gives:
% 224.22/38.35 | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | Case 1:
% 224.22/38.35 | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | (13959) all_57_6 = e1 & op(e1, e3) = e1
% 224.22/38.35 | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | REF_CLOSE: (164), (13551), (13959), (function-axioms) are
% 224.22/38.35 | | | | | | | | | | | | | | inconsistent by sub-proof #316.
% 224.22/38.35 | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | (13960) all_57_7 = e1 & op(e1, e2) = e1
% 224.22/38.35 | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | REF_CLOSE: (163), (13954), (13960), (function-axioms) are
% 224.22/38.35 | | | | | | | | | | | | | | inconsistent by sub-proof #2265.
% 224.22/38.35 | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | End of split
% 224.22/38.35 | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | (13961) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 224.22/38.35 | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 224.22/38.35 | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | BETA: splitting (13961) gives:
% 224.22/38.35 | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | Case 1:
% 224.22/38.35 | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | (13962) all_57_8 = e1 & op(e1, e1) = e1
% 224.22/38.35 | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | ALPHA: (13962) implies:
% 224.22/38.35 | | | | | | | | | | | | | | (13963) op(e1, e1) = e1
% 224.22/38.35 | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | REF_CLOSE: (8), (12097), (13963), (function-axioms) are
% 224.22/38.35 | | | | | | | | | | | | | | inconsistent by sub-proof #156.
% 224.22/38.35 | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | (13964) all_57_11 = e1 & op(e1, e0) = e1
% 224.22/38.35 | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | ALPHA: (13964) implies:
% 224.22/38.35 | | | | | | | | | | | | | | (13965) op(e1, e0) = e1
% 224.22/38.35 | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 224.22/38.35 | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | Case 1:
% 224.22/38.35 | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | (13966) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 224.22/38.35 | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 224.22/38.35 | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | BETA: splitting (13966) gives:
% 224.22/38.35 | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | Case 1:
% 224.22/38.35 | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | (13967) all_57_4 = e1 & op(e3, e1) = e1
% 224.22/38.35 | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | REF_CLOSE: (170), (13554), (13967), (function-axioms) are
% 224.22/38.35 | | | | | | | | | | | | | | | | inconsistent by sub-proof #116.
% 224.22/38.35 | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | (13968) all_57_5 = e1 & op(e2, e1) = e1
% 224.22/38.35 | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | REF_CLOSE: (166), (13955), (13968), (function-axioms) are
% 224.22/38.35 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2305.
% 224.22/38.35 | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | End of split
% 224.22/38.35 | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | (13969) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 224.22/38.35 | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 224.22/38.35 | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | BETA: splitting (13969) gives:
% 224.22/38.35 | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | Case 1:
% 224.22/38.35 | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | (13970) all_57_8 = e1 & op(e1, e1) = e1
% 224.22/38.35 | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | ALPHA: (13970) implies:
% 224.22/38.35 | | | | | | | | | | | | | | | | (13971) op(e1, e1) = e1
% 224.22/38.35 | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12097), (13971), (function-axioms) are
% 224.22/38.35 | | | | | | | | | | | | | | | | inconsistent by sub-proof #156.
% 224.22/38.35 | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | Case 2:
% 224.22/38.35 | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | (13972) all_57_14 = e1 & op(e0, e1) = e1
% 224.22/38.35 | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | ALPHA: (13972) implies:
% 224.22/38.35 | | | | | | | | | | | | | | | | (13973) all_57_14 = e1
% 224.22/38.35 | | | | | | | | | | | | | | | | (13974) op(e0, e1) = e1
% 224.22/38.35 | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_11,
% 224.22/38.35 | | | | | | | | | | | | | | | | e1, e1, e0, simplifying with (158), (13974) gives:
% 224.22/38.35 | | | | | | | | | | | | | | | | (13975) all_53_11 = e1
% 224.22/38.35 | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_14,
% 224.22/38.35 | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (161), (13965) gives:
% 224.22/38.35 | | | | | | | | | | | | | | | | (13976) all_53_14 = e1
% 224.22/38.35 | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | REDUCE: (372), (13976) imply:
% 224.22/38.35 | | | | | | | | | | | | | | | | (13977) ~ (all_4_2 = e1)
% 224.22/38.35 | | | | | | | | | | | | | | | |
% 224.22/38.35 | | | | | | | | | | | | | | | | SIMP: (13977) implies:
% 224.22/38.35 | | | | | | | | | | | | | | | | (13978) ~ (all_4_2 = e1)
% 224.22/38.36 | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 224.22/38.36 | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.36 | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | (13979) all_55_15 = e3
% 224.22/38.36 | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (13560), (13979) are inconsistent by
% 224.22/38.36 | | | | | | | | | | | | | | | | | sub-proof #2503.
% 224.22/38.36 | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.36 | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | (13980) ~ (all_55_15 = e3)
% 224.22/38.36 | | | | | | | | | | | | | | | | | (13981) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 224.22/38.36 | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 224.22/38.36 | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.36 | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | (13982) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.22/38.36 | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 224.22/38.36 | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 224.22/38.36 | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 224.22/38.36 | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 224.22/38.36 | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 224.22/38.36 | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 224.22/38.36 | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | BETA: splitting (13982) gives:
% 224.22/38.36 | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | (13983) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 224.22/38.36 | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | ALPHA: (13983) implies:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | (13984) op(e3, e1) = all_52_5
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | (13985) op(e3, e2) = all_52_3
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | (13986) op(all_52_5, all_52_5) = e1
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | (13987) op(all_52_3, all_52_3) = e2
% 224.22/38.36 | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | BETA: splitting (13981) gives:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | (13988) all_55_15 = e2
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (13988) are inconsistent by
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | sub-proof #2502.
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | (13989) ~ (all_55_15 = e2)
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | (13990) all_55_15 = e1 | all_55_15 = e0
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | BETA: splitting (13990) gives:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | (13991) all_55_15 = e1
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (13978), (13991) are inconsistent by
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | sub-proof #2501.
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | (13992) all_55_15 = e0
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (13992) imply:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | (13993) all_4_2 = e0
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | SIMP: (13993) implies:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | (13994) all_4_2 = e0
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | REDUCE: (351), (13994) imply:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | (13995) ~ (all_53_3 = e0)
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (13994) imply:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | (13996) ~ (all_53_7 = e0)
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (13994) imply:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | (13997) ~ (all_53_12 = e0)
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | REDUCE: (13560), (13994) imply:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | (13998) ~ (e3 = e0)
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (13994) imply:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | (13999) ~ (e2 = e0)
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | REDUCE: (13978), (13994) imply:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | (14000) ~ (e1 = e0)
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | (14001) all_57_15 = e0 & op(e0, e0) = e0
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14001) implies:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | (14002) all_57_15 = e0
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | (14003) op(e0, e0) = e0
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (169), (208),
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | (209), (210), (231), (13552), (13557), (13973),
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | (13984), (13985), (13986), (13987), (13997),
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | (14002), (14003), (function-axioms) are
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #319.
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | (14004) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14004) implies:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | (14005) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (159), (160), (13973), (13995), (13996),
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | (14005), (function-axioms) are inconsistent by
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | sub-proof #115.
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.36 | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | (14006) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 224.22/38.36 | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | ALPHA: (14006) implies:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | (14007) op(e2, e2) = all_52_11
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | (14008) op(all_52_11, all_52_11) = e2
% 224.22/38.36 | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12097), (13957), (14007), (14008),
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | #155.
% 224.22/38.36 | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.36 | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.36 | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | (14009) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 224.22/38.36 | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 224.22/38.36 | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.22/38.36 | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 224.22/38.36 | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 224.22/38.36 | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 224.22/38.36 | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 224.22/38.36 | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 224.22/38.36 | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.22/38.36 | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 224.22/38.36 | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 224.22/38.36 | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 224.22/38.36 | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 224.22/38.36 | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | BETA: splitting (14009) gives:
% 224.22/38.36 | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | (14010) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 224.22/38.36 | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | ALPHA: (14010) implies:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | (14011) op(e1, e0) = all_52_23
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | (14012) op(all_52_23, all_52_23) = e0
% 224.22/38.36 | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12097), (13965), (14011), (14012),
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | #125.
% 224.22/38.36 | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | (14013) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 224.22/38.36 | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | ALPHA: (14013) implies:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | (14014) op(e0, e1) = all_52_29
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | (14015) op(all_52_29, all_52_29) = e1
% 224.22/38.36 | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (244), (373), (12097), (13974), (13981),
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | (14014), (14015), (function-axioms) are
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #130.
% 224.22/38.36 | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.36 | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | End of split
% 224.22/38.36 | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | End of split
% 224.22/38.36 | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | End of split
% 224.22/38.36 | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | End of split
% 224.22/38.36 | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | End of split
% 224.22/38.36 | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | End of split
% 224.22/38.36 | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | End of split
% 224.22/38.36 | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | Case 2:
% 224.22/38.36 | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | (14016) all_14_2 = e0
% 224.22/38.36 | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | COMBINE_EQS: (328), (14016) imply:
% 224.22/38.36 | | | | | | | | | | | (14017) all_8_2 = e0
% 224.22/38.36 | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | SIMP: (14017) implies:
% 224.22/38.36 | | | | | | | | | | | (14018) all_8_2 = e0
% 224.22/38.36 | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | REDUCE: (349), (14018) imply:
% 224.22/38.36 | | | | | | | | | | | (14019) ~ (all_53_1 = e0)
% 224.22/38.36 | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | REDUCE: (352), (14018) imply:
% 224.22/38.36 | | | | | | | | | | | (14020) ~ (all_53_4 = e0)
% 224.22/38.36 | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | REDUCE: (354), (14018) imply:
% 224.22/38.36 | | | | | | | | | | | (14021) ~ (all_53_6 = e0)
% 224.22/38.36 | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | REDUCE: (356), (14018) imply:
% 224.22/38.36 | | | | | | | | | | | (14022) ~ (all_53_7 = e0)
% 224.22/38.36 | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | REDUCE: (358), (14018) imply:
% 224.22/38.36 | | | | | | | | | | | (14023) ~ (all_53_9 = e0)
% 224.22/38.36 | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | REDUCE: (12098), (14018) imply:
% 224.22/38.36 | | | | | | | | | | | (14024) ~ (e3 = e0)
% 224.22/38.36 | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | BETA: splitting (226) gives:
% 224.22/38.36 | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | Case 1:
% 224.22/38.36 | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | (14025) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 224.22/38.36 | | | | | | | | | | | | & op(e2, e2) = e0)
% 224.22/38.36 | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | BETA: splitting (14025) gives:
% 224.22/38.36 | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | Case 1:
% 224.22/38.36 | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | (14026) all_57_1 = e0 & op(e3, e2) = e0
% 224.22/38.36 | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | ALPHA: (14026) implies:
% 224.22/38.36 | | | | | | | | | | | | | (14027) op(e3, e2) = e0
% 224.22/38.36 | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | REF_CLOSE: (171), (14020), (14027), (function-axioms) are
% 224.22/38.36 | | | | | | | | | | | | | inconsistent by sub-proof #1941.
% 224.22/38.36 | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | Case 2:
% 224.22/38.36 | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | (14028) all_57_3 = e0 & op(e2, e2) = e0
% 224.22/38.36 | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | ALPHA: (14028) implies:
% 224.22/38.36 | | | | | | | | | | | | | (14029) all_57_3 = e0
% 224.22/38.36 | | | | | | | | | | | | | (14030) op(e2, e2) = e0
% 224.22/38.36 | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | BETA: splitting (76) gives:
% 224.22/38.36 | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | Case 1:
% 224.22/38.36 | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | (14031) ~ (all_30_2 = e1)
% 224.22/38.36 | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | REDUCE: (330), (14031) imply:
% 224.22/38.36 | | | | | | | | | | | | | | (14032) ~ (all_4_2 = e1)
% 224.22/38.36 | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 224.22/38.36 | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | Case 1:
% 224.22/38.36 | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | (14033) all_55_15 = e3
% 224.22/38.36 | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | COMBINE_EQS: (244), (14033) imply:
% 224.22/38.36 | | | | | | | | | | | | | | | (14034) all_4_2 = e3
% 224.22/38.36 | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | REDUCE: (13560), (14034) imply:
% 224.22/38.36 | | | | | | | | | | | | | | | (14035) $false
% 224.22/38.36 | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | CLOSE: (14035) is inconsistent.
% 224.22/38.36 | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | Case 2:
% 224.22/38.36 | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | (14036) ~ (all_55_15 = e3)
% 224.22/38.36 | | | | | | | | | | | | | | | (14037) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 224.22/38.36 | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | BETA: splitting (14037) gives:
% 224.22/38.36 | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | Case 1:
% 224.22/38.36 | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | (14038) all_55_15 = e2
% 224.22/38.36 | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (14038) imply:
% 224.22/38.36 | | | | | | | | | | | | | | | | (14039) all_4_2 = e2
% 224.22/38.36 | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | REDUCE: (373), (14039) imply:
% 224.22/38.36 | | | | | | | | | | | | | | | | (14040) $false
% 224.22/38.36 | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | CLOSE: (14040) is inconsistent.
% 224.22/38.36 | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | Case 2:
% 224.22/38.36 | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | (14041) ~ (all_55_15 = e2)
% 224.22/38.36 | | | | | | | | | | | | | | | | (14042) all_55_15 = e1 | all_55_15 = e0
% 224.22/38.36 | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | BETA: splitting (14042) gives:
% 224.22/38.36 | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.36 | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | (14043) all_55_15 = e1
% 224.22/38.36 | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (14043) imply:
% 224.22/38.36 | | | | | | | | | | | | | | | | | (14044) all_4_2 = e1
% 224.22/38.36 | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | REDUCE: (14032), (14044) imply:
% 224.22/38.36 | | | | | | | | | | | | | | | | | (14045) $false
% 224.22/38.36 | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | CLOSE: (14045) is inconsistent.
% 224.22/38.36 | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.36 | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | (14046) all_55_15 = e0
% 224.22/38.36 | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (14046) imply:
% 224.22/38.36 | | | | | | | | | | | | | | | | | (14047) all_4_2 = e0
% 224.22/38.36 | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | REDUCE: (370), (14047) imply:
% 224.22/38.36 | | | | | | | | | | | | | | | | | (14048) ~ (all_53_12 = e0)
% 224.22/38.36 | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | REDUCE: (371), (14047) imply:
% 224.22/38.36 | | | | | | | | | | | | | | | | | (14049) ~ (all_53_13 = e0)
% 224.22/38.36 | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | REDUCE: (372), (14047) imply:
% 224.22/38.36 | | | | | | | | | | | | | | | | | (14050) ~ (all_53_14 = e0)
% 224.22/38.36 | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | REDUCE: (373), (14047) imply:
% 224.22/38.36 | | | | | | | | | | | | | | | | | (14051) ~ (e2 = e0)
% 224.22/38.36 | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | REDUCE: (14032), (14047) imply:
% 224.22/38.36 | | | | | | | | | | | | | | | | | (14052) ~ (e1 = e0)
% 224.22/38.36 | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 224.22/38.36 | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.36 | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | (14053) all_57_15 = e0 & op(e0, e0) = e0
% 224.22/38.36 | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | ALPHA: (14053) implies:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | (14054) all_57_15 = e0
% 224.22/38.36 | | | | | | | | | | | | | | | | | | (14055) op(e0, e0) = e0
% 224.22/38.36 | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 224.22/38.36 | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | (14056) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 224.22/38.36 | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | BETA: splitting (14056) gives:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | (14057) all_57_6 = e0 & op(e1, e3) = e0
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | ALPHA: (14057) implies:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | (14058) op(e1, e3) = e0
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (85), (107), (145),
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | (160), (164), (166), (170), (193), (208), (209),
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | (210), (218), (247), (12096), (13548), (13549),
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | (13552), (13554), (13558), (14023), (14030),
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | (14054), (14055), (14058), (function-axioms) are
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #114.
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | (14059) all_57_7 = e0 & op(e1, e2) = e0
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (14021), (14059), (function-axioms) are
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2039.
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.36 | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | (14060) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 224.22/38.36 | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | BETA: splitting (14060) gives:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | (14061) all_57_8 = e0 & op(e1, e1) = e0
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12096), (14061) are inconsistent by
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | sub-proof #170.
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | (14062) all_57_11 = e0 & op(e1, e0) = e0
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (14050), (14062), (function-axioms) are
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2341.
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.36 | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.36 | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.36 | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | (14063) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 224.22/38.36 | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 224.22/38.36 | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 224.22/38.36 | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 224.22/38.36 | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (165), (169), (14048), (14049), (14050),
% 224.22/38.36 | | | | | | | | | | | | | | | | | | (14063), (function-axioms) are inconsistent by
% 224.22/38.36 | | | | | | | | | | | | | | | | | | sub-proof #2112.
% 224.22/38.36 | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | End of split
% 224.22/38.36 | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | End of split
% 224.22/38.36 | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | End of split
% 224.22/38.36 | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | End of split
% 224.22/38.36 | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | Case 2:
% 224.22/38.36 | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | (14064) all_30_2 = e1
% 224.22/38.36 | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | COMBINE_EQS: (330), (14064) imply:
% 224.22/38.36 | | | | | | | | | | | | | | (14065) all_4_2 = e1
% 224.22/38.36 | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | SIMP: (14065) implies:
% 224.22/38.36 | | | | | | | | | | | | | | (14066) all_4_2 = e1
% 224.22/38.36 | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | REDUCE: (371), (14066) imply:
% 224.22/38.36 | | | | | | | | | | | | | | (14067) ~ (all_53_13 = e1)
% 224.22/38.36 | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | REDUCE: (372), (14066) imply:
% 224.22/38.36 | | | | | | | | | | | | | | (14068) ~ (all_53_14 = e1)
% 224.22/38.36 | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | REDUCE: (13560), (14066) imply:
% 224.22/38.36 | | | | | | | | | | | | | | (14069) ~ (e3 = e1)
% 224.22/38.36 | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | REDUCE: (373), (14066) imply:
% 224.22/38.36 | | | | | | | | | | | | | | (14070) ~ (e2 = e1)
% 224.22/38.36 | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | REDUCE: (36), (14066) imply:
% 224.22/38.36 | | | | | | | | | | | | | | (14071) op(e0, e0) = e1
% 224.22/38.36 | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 224.22/38.36 | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | Case 1:
% 224.22/38.36 | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | (14072) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 224.22/38.36 | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 224.22/38.36 | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | BETA: splitting (14072) gives:
% 224.22/38.36 | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | Case 1:
% 224.22/38.36 | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | (14073) all_57_6 = e1 & op(e1, e3) = e1
% 224.22/38.36 | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | REF_CLOSE: (164), (13551), (14073), (function-axioms) are
% 224.22/38.36 | | | | | | | | | | | | | | | | inconsistent by sub-proof #316.
% 224.22/38.36 | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | Case 2:
% 224.22/38.36 | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | (14074) all_57_7 = e1 & op(e1, e2) = e1
% 224.22/38.36 | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | ALPHA: (14074) implies:
% 224.22/38.36 | | | | | | | | | | | | | | | | (14075) all_57_7 = e1
% 224.22/38.36 | | | | | | | | | | | | | | | | (14076) op(e1, e2) = e1
% 224.22/38.36 | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 224.22/38.36 | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.36 | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | (14077) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 224.22/38.36 | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 224.22/38.36 | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (168), (13550), (14030), (14077),
% 224.22/38.36 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.36 | | | | | | | | | | | | | | | | | #299.
% 224.22/38.36 | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.36 | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | (14078) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 224.22/38.36 | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 224.22/38.36 | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | BETA: splitting (14078) gives:
% 224.22/38.36 | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.36 | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | (14079) all_57_5 = e1 & op(e2, e1) = e1
% 224.22/38.36 | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | ALPHA: (14079) implies:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | (14080) all_57_5 = e1
% 224.22/38.36 | | | | | | | | | | | | | | | | | | (14081) op(e2, e1) = e1
% 224.22/38.36 | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_6, e1,
% 224.22/38.36 | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (163), (14076) gives:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | (14082) all_53_6 = e1
% 224.22/38.36 | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_9, e1,
% 224.22/38.36 | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (166), (14081) gives:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | (14083) all_53_9 = e1
% 224.22/38.36 | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 224.22/38.36 | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | (14084) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 224.22/38.36 | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | BETA: splitting (14084) gives:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | (14085) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | ALPHA: (14085) implies:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | (14086) op(e3, e0) = all_52_7
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | (14087) op(e3, e3) = all_52_1
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | (14088) op(all_52_7, all_52_7) = e0
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_12,
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | all_52_7, e0, e3, simplifying with (169), (14086)
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | gives:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | (14089) all_53_12 = all_52_7
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_52_1,
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (13558), (14087) gives:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | (14090) all_52_1 = e1
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | (14091) all_55_4 = e3
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (14091) imply:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | (14092) all_53_1 = e3
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | SIMP: (14092) implies:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | (14093) all_53_1 = e3
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (14093) imply:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | (14094) ~ (all_53_3 = e3)
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | SIMP: (14094) implies:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | (14095) ~ (all_53_3 = e3)
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (14093) imply:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | (14096) ~ (all_53_13 = e3)
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | SIMP: (14096) implies:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | (14097) ~ (all_53_13 = e3)
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | (14098) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 =
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14098) gives:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | | (14099) all_57_12 = e3 & op(e0, e3) = e3
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14099) implies:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | | (14100) op(e0, e3) = e3
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (14095), (14100), (function-axioms) are
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #132.
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | | (14101) all_57_13 = e3 & op(e0, e2) = e3
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14101) implies:
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | | (14102) all_57_13 = e3
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (161), (165),
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | | (207), (208), (209), (213), (12090), (13558),
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | | (14022), (14086), (14087), (14088), (14097),
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | | (14102), (function-axioms) are inconsistent by
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #112.
% 224.22/38.36 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | (14103) (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 =
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14103) gives:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | (14104) all_57_14 = e3 & op(e0, e1) = e3
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (12089), (14104), (function-axioms) are
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #129.
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | (14105) all_57_15 = e3 & op(e0, e0) = e3
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14105) implies:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | (14106) op(e0, e0) = e3
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14071), (14106), (function-axioms) are
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2183.
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | (14107) ~ (all_55_4 = e3)
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | (14108) all_55_4 = e2 | all_55_4 = e1 | all_55_4 = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | REDUCE: (267), (14107) imply:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | (14109) ~ (all_53_1 = e3)
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14108) gives:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | (14110) all_55_4 = e2
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (14110) imply:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | (14111) all_53_1 = e2
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | SIMP: (14111) implies:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | (14112) all_53_1 = e2
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (14112) imply:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | (14113) ~ (all_53_2 = e2)
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | SIMP: (14113) implies:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | (14114) ~ (all_53_2 = e2)
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (14112) imply:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | (14115) ~ (all_53_13 = e2)
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | SIMP: (14115) implies:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | (14116) ~ (all_53_13 = e2)
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14109), (14112) imply:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | (14117) ~ (e3 = e2)
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | (14118) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_7 = e2
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14118) gives:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | (14119) all_57_6 = e2 & op(e1, e3) = e2
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14119) implies:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | (14120) all_57_6 = e2
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | (14121) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14121) gives:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (14122) all_57_2 = e2 & op(e2, e3) = e2
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14122) implies:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (14123) all_57_2 = e2
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14124) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14124) gives:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14125) all_57_2 = e3 & op(e2, e3) = e3
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14125) implies:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14126) all_57_2 = e3
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (145), (160), (197), (230), (257),
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12085), (13551), (13557), (14114), (14120),
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14126), (function-axioms) are inconsistent by
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #131.
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14127) all_57_3 = e3 & op(e2, e2) = e3
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14127) implies:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14128) op(e2, e2) = e3
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (12098), (14128), (function-axioms) are
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #140.
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14129) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14129) gives:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14130) all_57_5 = e3 & op(e2, e1) = e3
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (12088), (14130), (function-axioms) are
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #270.
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14131) all_57_10 = e3 & op(e2, e0) = e3
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14131) implies:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14132) all_57_10 = e3
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14133) all_55_8 = e3
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (12085), (14133) are inconsistent by
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2496.
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14134) all_55_8 = e2 | all_55_8 = e1 | all_55_8 = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14134) gives:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14135) all_55_8 = e2
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (14114), (14135) are inconsistent by
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2406.
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14136) all_55_8 = e1 | all_55_8 = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14137) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14137) gives:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14138) all_57_0 = e0 & op(e3, e3) = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14138) implies:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14139) all_57_0 = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13557), (14139) imply:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14140) e1 = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14080), (14140) imply:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14141) all_57_5 = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14029), (14030), (14132), (14141),
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2348.
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14142) all_57_2 = e0 & op(e2, e3) = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14142) implies:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14143) all_57_2 = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (223), (224), (14029),
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14132), (14143) are inconsistent by sub-proof
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2247.
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14144) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14144) gives:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14145) all_57_6 = e0 & op(e1, e3) = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14145) implies:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14146) all_57_6 = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14120), (14146) imply:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14147) e2 = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14123), (14147) imply:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14148) all_57_2 = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (223), (224), (14029),
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14132), (14148) are inconsistent by sub-proof
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2247.
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14149) all_57_12 = e0 & op(e0, e3) = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14149) implies:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14150) op(e0, e3) = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (160), (257), (13551), (14136), (14150),
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2365.
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (14151) all_57_3 = e2 & op(e2, e2) = e2
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14151) implies:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (14152) op(e2, e2) = e2
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14030), (14152), (function-axioms) are
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2472.
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | (14153) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14153) gives:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (14154) all_57_5 = e2 & op(e2, e1) = e2
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14080), (14154) are inconsistent by
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2251.
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (14155) all_57_10 = e2 & op(e2, e0) = e2
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (14116), (14155), (function-axioms) are
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2432.
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | (14156) all_57_7 = e2 & op(e1, e2) = e2
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14156) implies:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | (14157) all_57_7 = e2
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14075), (14157) are inconsistent by
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1761.
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | (14158) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_11 =
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14158) gives:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | (14159) all_57_8 = e2 & op(e1, e1) = e2
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12096), (14159) are inconsistent by
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #172.
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | (14160) all_57_11 = e2 & op(e1, e0) = e2
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14160) implies:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | (14161) all_57_11 = e2
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | (14162) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14162) gives:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (14163) all_57_2 = e2 & op(e2, e3) = e2
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14163) implies:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (14164) all_57_2 = e2
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14165) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (168), (12098), (14109), (14165),
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | #111.
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14166) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14166) gives:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14167) all_57_5 = e3 & op(e2, e1) = e3
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (12088), (14167), (function-axioms) are
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #270.
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14168) all_57_10 = e3 & op(e2, e0) = e3
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14168) implies:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14169) all_57_10 = e3
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14170) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14170) gives:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14171) all_57_6 = e0 & op(e1, e3) = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14171) implies:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14172) op(e1, e3) = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14173) all_57_15 = e0 & op(e0, e0) = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14173) implies:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14174) all_57_15 = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14175) op(e0, e0) = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (85), (107), (145),
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (164), (166), (170), (193), (208), (209),
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (218), (247), (12096), (13548), (13549),
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13552), (13554), (13558), (14023), (14030),
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14172), (14174), (14175), (function-axioms) are
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #114.
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14176) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14176) implies:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14177) (all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 & op(e1,
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14177) gives:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14178) all_57_9 = e0 & op(e3, e0) = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14178) implies:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14179) op(e3, e0) = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14071), (14086), (14088), (14179),
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2000.
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14180) (all_57_10 = e0 & op(e2, e0) = e0) | (all_57_11 =
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14180) gives:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14181) all_57_10 = e0 & op(e2, e0) = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14169), (14181) are inconsistent by
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1981.
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14182) all_57_11 = e0 & op(e1, e0) = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14161), (14182) are inconsistent by
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2041.
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14183) all_57_7 = e0 & op(e1, e2) = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (14021), (14183), (function-axioms) are
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2039.
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14184) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14184) gives:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14185) all_57_8 = e0 & op(e1, e1) = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12096), (14185) are inconsistent by
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #162.
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14186) all_57_11 = e0 & op(e1, e0) = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14186) implies:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14187) all_57_11 = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14161), (14187) imply:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14188) e2 = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14164), (14188) imply:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14189) all_57_2 = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (223), (224), (14029),
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14169), (14189) are inconsistent by sub-proof
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2247.
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (14190) all_57_3 = e2 & op(e2, e2) = e2
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14190) implies:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (14191) op(e2, e2) = e2
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14030), (14191), (function-axioms) are
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2472.
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | (14192) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14192) gives:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (14193) all_57_5 = e2 & op(e2, e1) = e2
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14080), (14193) are inconsistent by
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2251.
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (14194) all_57_10 = e2 & op(e2, e0) = e2
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (14116), (14194), (function-axioms) are
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2432.
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | (14195) all_55_4 = e1 | all_55_4 = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (13550), (14019), (14195) are inconsistent
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #773.
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | (14196) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12097), (14081), (14196), (function-axioms)
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #120.
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | (14197) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 224.22/38.37 | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (12097), (14071), (14076), (14197),
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.37 | | | | | | | | | | | | | | | | | | | #118.
% 224.22/38.37 | | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | (14198) all_57_10 = e1 & op(e2, e0) = e1
% 224.22/38.37 | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (14067), (14198), (function-axioms) are
% 224.22/38.37 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2084.
% 224.22/38.37 | | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | (14199) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 224.22/38.37 | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 224.22/38.37 | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | | REF_CLOSE: (8), (161), (12097), (14068), (14199),
% 224.22/38.37 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.37 | | | | | | | | | | | | | | | #117.
% 224.22/38.37 | | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | (14200) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 224.22/38.37 | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 224.22/38.37 | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | REF_CLOSE: (159), (163), (14021), (14022), (14200),
% 224.22/38.37 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.37 | | | | | | | | | | | | #2024.
% 224.22/38.37 | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | End of split
% 224.22/38.37 | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | (14201) all_12_2 = e3
% 224.22/38.37 | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | COMBINE_EQS: (325), (14201) imply:
% 224.22/38.37 | | | | | | | | | | (14202) all_4_2 = e3
% 224.22/38.37 | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | SIMP: (14202) implies:
% 224.22/38.37 | | | | | | | | | | (14203) all_4_2 = e3
% 224.22/38.37 | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | REDUCE: (370), (14203) imply:
% 224.22/38.37 | | | | | | | | | | (14204) ~ (all_53_12 = e3)
% 224.22/38.37 | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | REDUCE: (371), (14203) imply:
% 224.22/38.37 | | | | | | | | | | (14205) ~ (all_53_13 = e3)
% 224.22/38.37 | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | REDUCE: (36), (14203) imply:
% 224.22/38.37 | | | | | | | | | | (14206) op(e0, e0) = e3
% 224.22/38.37 | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | BETA: splitting (225) gives:
% 224.22/38.37 | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | Case 1:
% 224.22/38.37 | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | (14207) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 224.22/38.37 | | | | | | | | | | | & op(e2, e2) = e3)
% 224.22/38.37 | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | BETA: splitting (14207) gives:
% 224.22/38.37 | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | Case 1:
% 224.22/38.37 | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | (14208) all_57_2 = e3 & op(e2, e3) = e3
% 224.22/38.37 | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | ALPHA: (14208) implies:
% 224.22/38.37 | | | | | | | | | | | | (14209) op(e2, e3) = e3
% 224.22/38.37 | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | BETA: splitting (237) gives:
% 224.22/38.37 | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | Case 1:
% 224.22/38.37 | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | (14210) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_1 = e3
% 224.22/38.37 | | | | | | | | | | | | | & op(e3, e2) = e3)
% 224.22/38.37 | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | BETA: splitting (14210) gives:
% 224.22/38.37 | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | Case 1:
% 224.22/38.37 | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | (14211) all_57_0 = e3 & op(e3, e3) = e3
% 224.22/38.37 | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | ALPHA: (14211) implies:
% 224.22/38.37 | | | | | | | | | | | | | | (14212) op(e3, e3) = e3
% 224.22/38.37 | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | REF_CLOSE: (8), (13558), (14212), (function-axioms) are
% 224.22/38.37 | | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 224.22/38.37 | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | Case 2:
% 224.22/38.37 | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | (14213) all_57_1 = e3 & op(e3, e2) = e3
% 224.22/38.37 | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | ALPHA: (14213) implies:
% 224.22/38.37 | | | | | | | | | | | | | | (14214) op(e3, e2) = e3
% 224.22/38.37 | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_1, e3,
% 224.22/38.37 | | | | | | | | | | | | | | e3, e2, simplifying with (168), (14209) gives:
% 224.22/38.37 | | | | | | | | | | | | | | (14215) all_53_1 = e3
% 224.22/38.37 | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_4, e3,
% 224.22/38.37 | | | | | | | | | | | | | | e2, e3, simplifying with (171), (14214) gives:
% 224.22/38.37 | | | | | | | | | | | | | | (14216) all_53_4 = e3
% 224.22/38.37 | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 224.22/38.37 | | | | | | | | | | | | | |
% 224.22/38.37 | | | | | | | | | | | | | | Case 1:
% 224.22/38.37 | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | (14217) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.22/38.38 | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.22/38.38 | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.22/38.38 | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.22/38.38 | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.22/38.38 | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.22/38.38 | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.22/38.38 | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 224.22/38.38 | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 224.22/38.38 | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 224.22/38.38 | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 224.22/38.38 | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 224.22/38.38 | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 224.22/38.38 | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 224.22/38.38 | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 224.22/38.38 | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | BETA: splitting (14217) gives:
% 224.22/38.38 | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | Case 1:
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | (14218) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.22/38.38 | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.22/38.38 | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.22/38.38 | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.22/38.38 | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.22/38.38 | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.22/38.38 | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.22/38.38 | | | | | | | | | | | | | | | | $i(all_52_7)
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | ALPHA: (14218) implies:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14219) op(e3, e2) = all_52_3
% 224.22/38.38 | | | | | | | | | | | | | | | | (14220) op(e3, e3) = all_52_1
% 224.22/38.38 | | | | | | | | | | | | | | | | (14221) op(all_52_3, all_52_3) = e2
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_52_3,
% 224.22/38.38 | | | | | | | | | | | | | | | | e2, e3, simplifying with (14214), (14219) gives:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14222) all_52_3 = e3
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_52_1,
% 224.22/38.38 | | | | | | | | | | | | | | | | e3, e3, simplifying with (13558), (14220) gives:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14223) all_52_1 = e1
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | REDUCE: (14221), (14222) imply:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14224) op(e3, e3) = e2
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13558), (14224), (function-axioms) are
% 224.22/38.38 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1950.
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | Case 2:
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | (14225) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 224.22/38.38 | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 224.22/38.38 | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 224.22/38.38 | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 224.22/38.38 | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 224.22/38.38 | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 224.22/38.38 | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 224.22/38.38 | | | | | | | | | | | | | | | | $i(all_52_15)
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | ALPHA: (14225) implies:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14226) op(e2, e3) = all_52_9
% 224.22/38.38 | | | | | | | | | | | | | | | | (14227) op(all_52_9, all_52_9) = e3
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_52_9,
% 224.22/38.38 | | | | | | | | | | | | | | | | e3, e2, simplifying with (14209), (14226) gives:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14228) all_52_9 = e3
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | REDUCE: (14227), (14228) imply:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14229) op(e3, e3) = e3
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13558), (14229), (function-axioms) are
% 224.22/38.38 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | End of split
% 224.22/38.38 | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | Case 2:
% 224.22/38.38 | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | (14230) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 224.22/38.38 | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 224.22/38.38 | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.22/38.38 | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 224.22/38.38 | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 224.22/38.38 | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 224.22/38.38 | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 224.22/38.38 | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 224.22/38.38 | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 224.22/38.38 | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 224.22/38.38 | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.22/38.38 | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 224.22/38.38 | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 224.22/38.38 | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 224.22/38.38 | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 224.22/38.38 | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 224.22/38.38 | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | BETA: splitting (14230) gives:
% 224.22/38.38 | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | Case 1:
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | (14231) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 224.22/38.38 | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 224.22/38.38 | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.22/38.38 | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 224.22/38.38 | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 224.22/38.38 | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 224.22/38.38 | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 224.22/38.38 | | | | | | | | | | | | | | | | $i(all_52_23)
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | ALPHA: (14231) implies:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14232) op(e1, e0) = all_52_23
% 224.22/38.38 | | | | | | | | | | | | | | | | (14233) op(e1, e1) = all_52_21
% 224.22/38.38 | | | | | | | | | | | | | | | | (14234) op(e1, e2) = all_52_19
% 224.22/38.38 | | | | | | | | | | | | | | | | (14235) op(all_52_23, all_52_23) = e0
% 224.22/38.38 | | | | | | | | | | | | | | | | (14236) op(all_52_19, all_52_19) = e2
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_14,
% 224.22/38.38 | | | | | | | | | | | | | | | | all_52_23, e0, e1, simplifying with (161), (14232)
% 224.22/38.38 | | | | | | | | | | | | | | | | gives:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14237) all_53_14 = all_52_23
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 224.22/38.38 | | | | | | | | | | | | | | | | all_52_21, e1, e1, simplifying with (12097),
% 224.22/38.38 | | | | | | | | | | | | | | | | (14233) gives:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14238) all_52_21 = e3
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_6,
% 224.22/38.38 | | | | | | | | | | | | | | | | all_52_19, e2, e1, simplifying with (163), (14234)
% 224.22/38.38 | | | | | | | | | | | | | | | | gives:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14239) all_53_6 = all_52_19
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (164), (215), (12097), (13551),
% 224.22/38.38 | | | | | | | | | | | | | | | | (14232), (14234), (14235), (14236),
% 224.22/38.38 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.38 | | | | | | | | | | | | | | | | #110.
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | Case 2:
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | (14240) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 224.22/38.38 | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 224.22/38.38 | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.22/38.38 | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 224.22/38.38 | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 224.22/38.38 | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 224.22/38.38 | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 224.22/38.38 | | | | | | | | | | | | | | | | $i(all_52_31)
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | ALPHA: (14240) implies:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14241) op(e0, e0) = all_52_31
% 224.22/38.38 | | | | | | | | | | | | | | | | (14242) op(all_52_31, all_52_31) = e0
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13558), (14206), (14241), (14242),
% 224.22/38.38 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.38 | | | | | | | | | | | | | | | | #283.
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | End of split
% 224.22/38.38 | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | End of split
% 224.22/38.38 | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | End of split
% 224.22/38.38 | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | Case 2:
% 224.22/38.38 | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | (14243) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_9 = e3
% 224.22/38.38 | | | | | | | | | | | | | & op(e3, e0) = e3)
% 224.22/38.38 | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | REF_CLOSE: (169), (170), (12087), (14204), (14243),
% 224.22/38.38 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.38 | | | | | | | | | | | | | #109.
% 224.22/38.38 | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | End of split
% 224.22/38.38 | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | Case 2:
% 224.22/38.38 | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | (14244) all_57_3 = e3 & op(e2, e2) = e3
% 224.22/38.38 | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | ALPHA: (14244) implies:
% 224.22/38.38 | | | | | | | | | | | | (14245) op(e2, e2) = e3
% 224.22/38.38 | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | REF_CLOSE: (42), (12098), (14245), (function-axioms) are
% 224.22/38.38 | | | | | | | | | | | | inconsistent by sub-proof #140.
% 224.22/38.38 | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | End of split
% 224.22/38.38 | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | Case 2:
% 224.22/38.38 | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | (14246) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 224.22/38.38 | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 224.22/38.38 | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | REF_CLOSE: (165), (166), (12088), (14205), (14246),
% 224.22/38.38 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.38 | | | | | | | | | | | #178.
% 224.22/38.38 | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | End of split
% 224.22/38.38 | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | End of split
% 224.22/38.38 | | | | | | | | |
% 224.22/38.38 | | | | | | | | Case 2:
% 224.22/38.38 | | | | | | | | |
% 224.22/38.38 | | | | | | | | | (14247) all_57_2 = e1 & op(e2, e3) = e1
% 224.22/38.38 | | | | | | | | |
% 224.22/38.38 | | | | | | | | | REF_CLOSE: (168), (13550), (14247), (function-axioms) are
% 224.22/38.38 | | | | | | | | | inconsistent by sub-proof #2156.
% 224.22/38.38 | | | | | | | | |
% 224.22/38.38 | | | | | | | | End of split
% 224.22/38.38 | | | | | | | |
% 224.22/38.38 | | | | | | | Case 2:
% 224.22/38.38 | | | | | | | |
% 224.22/38.38 | | | | | | | | (14248) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 = e1 &
% 224.22/38.38 | | | | | | | | op(e0, e3) = e1)
% 224.22/38.38 | | | | | | | |
% 224.22/38.38 | | | | | | | | BETA: splitting (14248) gives:
% 224.22/38.38 | | | | | | | |
% 224.22/38.38 | | | | | | | | Case 1:
% 224.22/38.38 | | | | | | | | |
% 224.22/38.38 | | | | | | | | | (14249) all_57_6 = e1 & op(e1, e3) = e1
% 224.22/38.38 | | | | | | | | |
% 224.22/38.38 | | | | | | | | | REF_CLOSE: (164), (13551), (14249), (function-axioms) are
% 224.22/38.38 | | | | | | | | | inconsistent by sub-proof #316.
% 224.22/38.38 | | | | | | | | |
% 224.22/38.38 | | | | | | | | Case 2:
% 224.22/38.38 | | | | | | | | |
% 224.22/38.38 | | | | | | | | | (14250) all_57_12 = e1 & op(e0, e3) = e1
% 224.22/38.38 | | | | | | | | |
% 224.22/38.38 | | | | | | | | | REF_CLOSE: (160), (13552), (14250), (function-axioms) are
% 224.22/38.38 | | | | | | | | | inconsistent by sub-proof #1947.
% 224.22/38.38 | | | | | | | | |
% 224.22/38.38 | | | | | | | | End of split
% 224.22/38.38 | | | | | | | |
% 224.22/38.38 | | | | | | | End of split
% 224.22/38.38 | | | | | | |
% 224.22/38.38 | | | | | | End of split
% 224.22/38.38 | | | | | |
% 224.22/38.38 | | | | | Case 2:
% 224.22/38.38 | | | | | |
% 224.22/38.38 | | | | | | (14251) all_8_2 = e3
% 224.22/38.38 | | | | | | (14252) ( ~ (all_8_0 = e0) & op(all_8_1, e2) = all_8_0 & op(e2,
% 224.22/38.38 | | | | | | e3) = all_8_1 & $i(all_8_0) & $i(all_8_1)) | ( ~
% 224.22/38.38 | | | | | | (all_8_1 = e1) & op(e2, e3) = all_8_1 & $i(all_8_1))
% 224.22/38.38 | | | | | |
% 224.22/38.38 | | | | | | REDUCE: (349), (14251) imply:
% 224.22/38.38 | | | | | | (14253) ~ (all_53_1 = e3)
% 224.22/38.38 | | | | | |
% 224.22/38.38 | | | | | | REDUCE: (352), (14251) imply:
% 224.22/38.38 | | | | | | (14254) ~ (all_53_4 = e3)
% 224.22/38.38 | | | | | |
% 224.22/38.38 | | | | | | REDUCE: (356), (14251) imply:
% 224.22/38.38 | | | | | | (14255) ~ (all_53_7 = e3)
% 224.22/38.38 | | | | | |
% 224.22/38.38 | | | | | | REDUCE: (360), (14251) imply:
% 224.22/38.38 | | | | | | (14256) ~ (all_53_13 = e3)
% 224.22/38.38 | | | | | |
% 224.22/38.38 | | | | | | BETA: splitting (225) gives:
% 224.22/38.38 | | | | | |
% 224.22/38.38 | | | | | | Case 1:
% 224.22/38.38 | | | | | | |
% 224.22/38.38 | | | | | | | (14257) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3 &
% 224.22/38.38 | | | | | | | op(e2, e2) = e3)
% 224.22/38.38 | | | | | | |
% 224.22/38.38 | | | | | | | BETA: splitting (14257) gives:
% 224.22/38.38 | | | | | | |
% 224.22/38.38 | | | | | | | Case 1:
% 224.22/38.38 | | | | | | | |
% 224.22/38.38 | | | | | | | | (14258) all_57_2 = e3 & op(e2, e3) = e3
% 224.22/38.38 | | | | | | | |
% 224.22/38.38 | | | | | | | | REF_CLOSE: (168), (14253), (14258), (function-axioms) are
% 224.22/38.38 | | | | | | | | inconsistent by sub-proof #2299.
% 224.22/38.38 | | | | | | | |
% 224.22/38.38 | | | | | | | Case 2:
% 224.22/38.38 | | | | | | | |
% 224.22/38.38 | | | | | | | | (14259) all_57_3 = e3 & op(e2, e2) = e3
% 224.22/38.38 | | | | | | | |
% 224.22/38.38 | | | | | | | | ALPHA: (14259) implies:
% 224.22/38.38 | | | | | | | | (14260) all_57_3 = e3
% 224.22/38.38 | | | | | | | | (14261) op(e2, e2) = e3
% 224.22/38.38 | | | | | | | |
% 224.22/38.38 | | | | | | | | BETA: splitting (46) gives:
% 224.22/38.38 | | | | | | | |
% 224.22/38.38 | | | | | | | | Case 1:
% 224.22/38.38 | | | | | | | | |
% 224.22/38.38 | | | | | | | | | (14262) ~ (all_10_2 = e1)
% 224.22/38.38 | | | | | | | | |
% 224.22/38.38 | | | | | | | | | BETA: splitting (49) gives:
% 224.22/38.38 | | | | | | | | |
% 224.22/38.38 | | | | | | | | | Case 1:
% 224.22/38.38 | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | (14263) ~ (all_12_2 = e3)
% 224.22/38.38 | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | REDUCE: (325), (14263) imply:
% 224.22/38.38 | | | | | | | | | | (14264) ~ (all_4_2 = e3)
% 224.22/38.38 | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | BETA: splitting (213) gives:
% 224.22/38.38 | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | Case 1:
% 224.22/38.38 | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | (14265) (all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 =
% 224.22/38.38 | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 224.22/38.38 | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | BETA: splitting (14265) gives:
% 224.22/38.38 | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | Case 1:
% 224.22/38.38 | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | (14266) all_57_9 = e3 & op(e3, e0) = e3
% 224.22/38.38 | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | ALPHA: (14266) implies:
% 224.22/38.38 | | | | | | | | | | | | (14267) all_57_9 = e3
% 224.22/38.38 | | | | | | | | | | | | (14268) op(e3, e0) = e3
% 224.22/38.38 | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | BETA: splitting (210) gives:
% 224.22/38.38 | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | Case 1:
% 224.22/38.38 | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | (14269) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 =
% 224.22/38.38 | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 224.22/38.38 | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | BETA: splitting (14269) gives:
% 224.22/38.38 | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | Case 1:
% 224.22/38.38 | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | (14270) all_57_12 = e3 & op(e0, e3) = e3
% 224.22/38.38 | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | ALPHA: (14270) implies:
% 224.22/38.38 | | | | | | | | | | | | | | (14271) all_57_12 = e3
% 224.22/38.38 | | | | | | | | | | | | | | (14272) op(e0, e3) = e3
% 224.22/38.38 | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_3, e3,
% 224.22/38.38 | | | | | | | | | | | | | | e3, e0, simplifying with (160), (14272) gives:
% 224.22/38.38 | | | | | | | | | | | | | | (14273) all_53_3 = e3
% 224.22/38.38 | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_12,
% 224.22/38.38 | | | | | | | | | | | | | | e3, e0, e3, simplifying with (169), (14268) gives:
% 224.22/38.38 | | | | | | | | | | | | | | (14274) all_53_12 = e3
% 224.22/38.38 | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | REDUCE: (114), (14274) imply:
% 224.22/38.38 | | | | | | | | | | | | | | (14275) ~ (all_53_13 = e3)
% 224.22/38.38 | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | REDUCE: (348), (14274) imply:
% 224.22/38.38 | | | | | | | | | | | | | | (14276) ~ (all_10_2 = e3)
% 224.22/38.38 | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | SIMP: (14276) implies:
% 224.22/38.38 | | | | | | | | | | | | | | (14277) ~ (all_10_2 = e3)
% 224.22/38.38 | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | REDUCE: (370), (14274) imply:
% 224.22/38.38 | | | | | | | | | | | | | | (14278) ~ (all_4_2 = e3)
% 224.22/38.38 | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 224.22/38.38 | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | Case 1:
% 224.22/38.38 | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | (14279) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.22/38.38 | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.22/38.38 | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.22/38.38 | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.22/38.38 | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.22/38.38 | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.22/38.38 | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.22/38.38 | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 224.22/38.38 | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 224.22/38.38 | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 224.22/38.38 | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 224.22/38.38 | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 224.22/38.38 | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 224.22/38.38 | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 224.22/38.38 | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 224.22/38.38 | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | BETA: splitting (14279) gives:
% 224.22/38.38 | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | Case 1:
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | (14280) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.22/38.38 | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.22/38.38 | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.22/38.38 | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.22/38.38 | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.22/38.38 | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.22/38.38 | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.22/38.38 | | | | | | | | | | | | | | | | $i(all_52_7)
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | ALPHA: (14280) implies:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14281) op(e3, e0) = all_52_7
% 224.22/38.38 | | | | | | | | | | | | | | | | (14282) op(e3, e3) = all_52_1
% 224.22/38.38 | | | | | | | | | | | | | | | | (14283) op(all_52_7, all_52_7) = e0
% 224.22/38.38 | | | | | | | | | | | | | | | | (14284) op(all_52_1, all_52_1) = e3
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_52_7,
% 224.22/38.38 | | | | | | | | | | | | | | | | e0, e3, simplifying with (14268), (14281) gives:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14285) all_52_7 = e3
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_2,
% 224.22/38.38 | | | | | | | | | | | | | | | | all_52_1, e3, e3, simplifying with (45), (14282)
% 224.22/38.38 | | | | | | | | | | | | | | | | gives:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14286) all_52_1 = all_10_2
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | REDUCE: (14284), (14286) imply:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14287) op(all_10_2, all_10_2) = e3
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | REDUCE: (14283), (14285) imply:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14288) op(e3, e3) = e0
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_2, e0,
% 224.22/38.38 | | | | | | | | | | | | | | | | e3, e3, simplifying with (45), (14288) gives:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14289) all_10_2 = e0
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | REDUCE: (14287), (14289) imply:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14290) op(e0, e0) = e3
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | REF_CLOSE: (36), (14264), (14290), (function-axioms) are
% 224.22/38.38 | | | | | | | | | | | | | | | | inconsistent by sub-proof #151.
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | Case 2:
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | (14291) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 224.22/38.38 | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 224.22/38.38 | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 224.22/38.38 | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 224.22/38.38 | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 224.22/38.38 | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 224.22/38.38 | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 224.22/38.38 | | | | | | | | | | | | | | | | $i(all_52_15)
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | ALPHA: (14291) implies:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14292) op(e2, e0) = all_52_15
% 224.22/38.38 | | | | | | | | | | | | | | | | (14293) op(e2, e1) = all_52_13
% 224.22/38.38 | | | | | | | | | | | | | | | | (14294) op(e2, e2) = all_52_11
% 224.22/38.38 | | | | | | | | | | | | | | | | (14295) op(e2, e3) = all_52_9
% 224.22/38.38 | | | | | | | | | | | | | | | | (14296) op(all_52_15, all_52_15) = e0
% 224.22/38.38 | | | | | | | | | | | | | | | | (14297) op(all_52_13, all_52_13) = e1
% 224.22/38.38 | | | | | | | | | | | | | | | | (14298) op(all_52_11, all_52_11) = e2
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_13,
% 224.22/38.38 | | | | | | | | | | | | | | | | all_52_15, e0, e2, simplifying with (165), (14292)
% 224.22/38.38 | | | | | | | | | | | | | | | | gives:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14299) all_53_13 = all_52_15
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_9,
% 224.22/38.38 | | | | | | | | | | | | | | | | all_52_13, e1, e2, simplifying with (166), (14293)
% 224.22/38.38 | | | | | | | | | | | | | | | | gives:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14300) all_53_9 = all_52_13
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 224.22/38.38 | | | | | | | | | | | | | | | | all_52_11, e2, e2, simplifying with (14261),
% 224.22/38.38 | | | | | | | | | | | | | | | | (14294) gives:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14301) all_52_11 = e3
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_1,
% 224.22/38.38 | | | | | | | | | | | | | | | | all_52_9, e3, e2, simplifying with (168), (14295)
% 224.22/38.38 | | | | | | | | | | | | | | | | gives:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14302) all_53_1 = all_52_9
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (14299) imply:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14303) all_55_7 = all_52_15
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | REDUCE: (338), (14302) imply:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14304) ~ (all_52_9 = all_10_2)
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | REDUCE: (14253), (14302) imply:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14305) ~ (all_52_9 = e3)
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | REDUCE: (118), (14299), (14300) imply:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14306) ~ (all_52_13 = all_52_15)
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | REDUCE: (12088), (14300) imply:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14307) ~ (all_52_13 = e3)
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | REDUCE: (371), (14299) imply:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14308) ~ (all_52_15 = all_4_2)
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | REDUCE: (14256), (14299) imply:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14309) ~ (all_52_15 = e3)
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | REDUCE: (14298), (14301) imply:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14310) op(e3, e3) = e2
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_2, e2,
% 224.22/38.38 | | | | | | | | | | | | | | | | e3, e3, simplifying with (45), (14310) gives:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14311) all_10_2 = e2
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | REDUCE: (14304), (14311) imply:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14312) ~ (all_52_9 = e2)
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | REDUCE: (14277), (14311) imply:
% 224.22/38.38 | | | | | | | | | | | | | | | | (14313) ~ (e3 = e2)
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 224.22/38.38 | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.38 | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | (14314) ~ (all_30_2 = e1)
% 224.22/38.38 | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | REDUCE: (330), (14314) imply:
% 224.22/38.38 | | | | | | | | | | | | | | | | | (14315) ~ (all_4_2 = e1)
% 224.22/38.38 | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 224.22/38.38 | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.38 | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | (14316) all_55_15 = e3
% 224.22/38.38 | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (14264), (14316) are inconsistent by
% 224.22/38.38 | | | | | | | | | | | | | | | | | | sub-proof #2503.
% 224.22/38.38 | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.38 | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | (14317) ~ (all_55_15 = e3)
% 224.22/38.38 | | | | | | | | | | | | | | | | | | (14318) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 224.22/38.38 | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | BETA: splitting (14318) gives:
% 224.22/38.38 | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.38 | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | (14319) all_55_15 = e2
% 224.22/38.38 | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (373), (14319) are inconsistent by
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | sub-proof #2502.
% 224.22/38.38 | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.38 | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | (14320) ~ (all_55_15 = e2)
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | (14321) all_55_15 = e1 | all_55_15 = e0
% 224.22/38.38 | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | BETA: splitting (14321) gives:
% 224.22/38.38 | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | (14322) all_55_15 = e1
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (244), (14315), (14322) are inconsistent by
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | sub-proof #2501.
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | (14323) all_55_15 = e0
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (14323) imply:
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | (14324) all_4_2 = e0
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | SIMP: (14324) implies:
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | (14325) all_4_2 = e0
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (14325) imply:
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | (14326) ~ (all_53_7 = e0)
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (14325) imply:
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | (14327) ~ (all_53_14 = e0)
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | REDUCE: (14308), (14325) imply:
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | (14328) ~ (all_52_15 = e0)
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | REDUCE: (14264), (14325) imply:
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | (14329) ~ (e3 = e0)
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (14325) imply:
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | (14330) ~ (e2 = e0)
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | REDUCE: (14315), (14325) imply:
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | (14331) ~ (e1 = e0)
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (14325) imply:
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | (14332) op(e0, e0) = e0
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | (14333) all_57_15 = e0 & op(e0, e0) = e0
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | ALPHA: (14333) implies:
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | (14334) all_57_15 = e0
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | (14335) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (14261), (14268), (14292), (14294),
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | (14296), (14335), (function-axioms) are
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #108.
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | (14336) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14336) gives:
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | (14337) all_57_11 = e2 & op(e1, e0) = e2
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14337) implies:
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | (14338) all_57_11 = e2
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | | (14339) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 =
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14339) gives:
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | | | (14340) all_57_9 = e1 & op(e3, e0) = e1
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14267), (14340) are inconsistent by
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1669.
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | | | (14341) all_57_10 = e1 & op(e2, e0) = e1
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14341) implies:
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | | | (14342) all_57_10 = e1
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | | | (14343) op(e2, e0) = e1
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | | | | (14344) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 224.22/38.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (14260), (14261), (14271), (14310),
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (14344), (function-axioms) are inconsistent by
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #106.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (14345) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14345) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14346) all_57_5 = e2 & op(e2, e1) = e2
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14346) implies:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14347) all_57_5 = e2
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14348) op(e2, e1) = e2
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14349) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14349) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14350) all_57_2 = e0 & op(e2, e3) = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14350) implies:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14351) all_57_2 = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14352) op(e2, e3) = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14353) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (14310), (14351), (14353),
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #105.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14354) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14354) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14355) all_57_6 = e1 & op(e1, e3) = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14355) implies:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14356) all_57_6 = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14357) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14357) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14358) all_57_6 = e0 & op(e1, e3) = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14356), (14358) are inconsistent by
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2347.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14359) all_57_7 = e0 & op(e1, e2) = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14359) implies:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14360) all_57_7 = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14361) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (237),
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14261), (14310), (14361), (function-axioms) are
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #104.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14362) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14362) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14363) all_57_7 = e2 & op(e1, e2) = e2
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14360), (14363) are inconsistent by
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #364.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14364) all_57_13 = e2 & op(e0, e2) = e2
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14364) implies:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14365) all_57_13 = e2
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14366) (all_57_12 = e1 & op(e0, e3) = e1) | (all_57_13 =
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14366) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14367) all_57_12 = e1 & op(e0, e3) = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14367) implies:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14368) all_57_12 = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (236), (14310), (14351), (14356),
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14368), (function-axioms) are inconsistent by
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #103.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14369) all_57_13 = e1 & op(e0, e2) = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14369) implies:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14370) all_57_13 = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14365), (14370) are inconsistent by
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2327.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14371) (all_57_14 = e1 & op(e0, e1) = e1) | (all_57_15 =
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14371) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14372) all_57_14 = e1 & op(e0, e1) = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14372) implies:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14373) all_57_14 = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14374) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14374) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14375) all_57_4 = e0 & op(e3, e1) = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14375) implies:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14376) all_57_4 = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14377) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14377) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14378) all_57_0 = e1 & op(e3, e3) = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14378) implies:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14379) op(e3, e3) = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (14271), (14351), (14356),
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14379), (function-axioms) are inconsistent by
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #350.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14380) all_57_1 = e1 & op(e3, e2) = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14380) implies:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14381) all_57_1 = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14382) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14382) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14383) all_57_0 = e0 & op(e3, e3) = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14383) implies:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14384) op(e3, e3) = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14385) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (14381), (14384), (14385),
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #207.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14386) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14386) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14387) all_57_4 = e2 & op(e3, e1) = e2
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14387) implies:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14388) all_57_4 = e2
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14376), (14388) are inconsistent by
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2441.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14389) all_57_9 = e2 & op(e3, e0) = e2
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14268), (14389), (function-axioms) are
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #306.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14390) all_57_1 = e0 & op(e3, e2) = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14381), (14390) are inconsistent by
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2493.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14391) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14391) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_15,
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (14292), (14343)
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14392) all_52_15 = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, e2, simplifying with (14293), (14348)
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14393) all_52_13 = e2
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e0,
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (14295), (14352) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14394) all_52_9 = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14309), (14392) imply:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14395) ~ (e3 = e1)
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14297), (14393) imply:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14396) op(e2, e2) = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (228), (229),
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14381), (14396), (function-axioms) are
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1908.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14397) all_57_9 = e0 & op(e3, e0) = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14397) implies:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14398) op(e3, e0) = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14268), (14398), (function-axioms) are
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #313.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14399) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14399) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14400) all_57_4 = e1 & op(e3, e1) = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14400) implies:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14401) all_57_4 = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14376), (14401) are inconsistent by
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2438.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14402) all_57_9 = e1 & op(e3, e0) = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14402) implies:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14403) all_57_9 = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14267), (14403) imply:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14404) e3 = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14271), (14404) imply:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14405) all_57_12 = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (236), (14310), (14351), (14356),
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14405), (function-axioms) are inconsistent by
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #103.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14406) all_57_5 = e0 & op(e2, e1) = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14347), (14406) are inconsistent by
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2428.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14407) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14407) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14408) all_57_8 = e0 & op(e1, e1) = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (12096), (14260), (14271), (14310),
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14356), (14408), (function-axioms) are
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #102.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14409) all_57_14 = e0 & op(e0, e1) = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14409) implies:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14410) all_57_14 = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14373), (14410) are inconsistent by
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2122.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14411) all_57_15 = e1 & op(e0, e0) = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14411) implies:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14412) op(e0, e0) = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14332), (14412), (function-axioms) are
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2290.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14413) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14413) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14414) all_57_8 = e0 & op(e1, e1) = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (12096), (14260), (14271), (14310),
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14356), (14414), (function-axioms) are
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #102.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14415) all_57_11 = e0 & op(e1, e0) = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (14327), (14415), (function-axioms) are
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2341.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14416) all_57_12 = e1 & op(e0, e3) = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14271), (14416) are inconsistent by
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2230.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14417) all_57_3 = e0 & op(e2, e2) = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14417) implies:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14418) op(e2, e2) = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14294), (14298), (14332), (14418),
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2270.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14419) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14419) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14420) all_57_5 = e0 & op(e2, e1) = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14420) implies:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14421) all_57_5 = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14347), (14421) are inconsistent by
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2363.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14422) all_57_10 = e0 & op(e2, e0) = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14422) implies:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14423) all_57_10 = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14342), (14423) are inconsistent by
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1531.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14424) all_57_10 = e2 & op(e2, e0) = e2
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14424) implies:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14425) all_57_10 = e2
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (211), (14267), (14334), (14338),
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14425) are inconsistent by sub-proof #1668.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | (14426) (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 =
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (14332), (14338), (14426),
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | #176.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | (14427) all_57_15 = e2 & op(e0, e0) = e2
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14427) implies:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | (14428) op(e0, e0) = e2
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (14428), (function-axioms) are
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2334.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | (14429) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | ALPHA: (14429) implies:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | (14430) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14430) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | (14431) all_57_12 = e0 & op(e0, e3) = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14271), (14431) are inconsistent by
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2237.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | (14432) (all_57_13 = e0 & op(e0, e2) = e0) | (all_57_14 =
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14432) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | (14433) all_57_13 = e0 & op(e0, e2) = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14433) implies:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | (14434) op(e0, e2) = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (14326), (14434), (function-axioms) are
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2332.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | (14435) all_57_14 = e0 & op(e0, e1) = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14435) implies:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | (14436) all_57_14 = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (207), (208),
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (219), (220), (231), (233), (237),
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | (373), (12096), (14267), (14271), (14310),
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | (14332), (14436), (function-axioms) are
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #100.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | End of split
% 224.22/38.39 | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | (14437) all_30_2 = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (14437) imply:
% 224.22/38.39 | | | | | | | | | | | | | | | | | (14438) all_4_2 = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | SIMP: (14438) implies:
% 224.22/38.39 | | | | | | | | | | | | | | | | | (14439) all_4_2 = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | REDUCE: (362), (14439) imply:
% 224.22/38.39 | | | | | | | | | | | | | | | | | (14440) ~ (all_53_7 = e1)
% 224.22/38.39 | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | REDUCE: (369), (14439) imply:
% 224.22/38.39 | | | | | | | | | | | | | | | | | (14441) ~ (all_53_11 = e1)
% 224.22/38.39 | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | REDUCE: (372), (14439) imply:
% 224.22/38.39 | | | | | | | | | | | | | | | | | (14442) ~ (all_53_14 = e1)
% 224.22/38.39 | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | REDUCE: (14308), (14439) imply:
% 224.22/38.39 | | | | | | | | | | | | | | | | | (14443) ~ (all_52_15 = e1)
% 224.22/38.39 | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | REDUCE: (14264), (14439) imply:
% 224.22/38.39 | | | | | | | | | | | | | | | | | (14444) ~ (e3 = e1)
% 224.22/38.39 | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | REDUCE: (373), (14439) imply:
% 224.22/38.39 | | | | | | | | | | | | | | | | | (14445) ~ (e2 = e1)
% 224.22/38.39 | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | REDUCE: (36), (14439) imply:
% 224.22/38.39 | | | | | | | | | | | | | | | | | (14446) op(e0, e0) = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | (14447) all_55_7 = e3
% 224.22/38.39 | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14303), (14447) imply:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | (14448) all_52_15 = e3
% 224.22/38.39 | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | REDUCE: (14309), (14448) imply:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | (14449) $false
% 224.22/38.39 | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | CLOSE: (14449) is inconsistent.
% 224.22/38.39 | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | (14450) ~ (all_55_7 = e3)
% 224.22/38.39 | | | | | | | | | | | | | | | | | | (14451) all_55_7 = e2 | all_55_7 = e1 | all_55_7 = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | (14452) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_5 = e2
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 224.22/38.39 | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | BETA: splitting (14452) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | (14453) all_57_4 = e2 & op(e3, e1) = e2
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (237),
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | (14310), (14453), (function-axioms) are
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #226.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | (14454) all_57_5 = e2 & op(e2, e1) = e2
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | ALPHA: (14454) implies:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | (14455) all_57_5 = e2
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | (14456) op(e2, e1) = e2
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | (14457) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14457) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | (14458) all_57_4 = e1 & op(e3, e1) = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14458) implies:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | (14459) all_57_4 = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | (14460) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14460) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | (14461) all_57_0 = e0 & op(e3, e3) = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14461) implies:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | (14462) op(e3, e3) = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14310), (14462), (function-axioms) are
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2403.
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | (14463) all_57_1 = e0 & op(e3, e2) = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14463) implies:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | (14464) all_57_1 = e0
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | (14465) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14465) gives:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (14466) all_57_0 = e1 & op(e3, e3) = e1
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14466) implies:
% 224.22/38.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (14467) op(e3, e3) = e1
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14310), (14467), (function-axioms) are
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1950.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (14468) all_57_2 = e1 & op(e2, e3) = e1
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14468) implies:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (14469) all_57_2 = e1
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (14470) op(e2, e3) = e1
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14460) gives:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14471) all_57_0 = e0 & op(e3, e3) = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14471) implies:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14472) op(e3, e3) = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14310), (14472), (function-axioms) are
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2403.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14473) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (237),
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14261), (14310), (14473), (function-axioms) are
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #104.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14474) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14474) gives:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14475) all_57_7 = e2 & op(e1, e2) = e2
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (161), (212), (214),
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (223), (224), (225), (230), (12096),
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14260), (14261), (14268), (14271), (14292),
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14294), (14296), (14310), (14442), (14446),
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14475), (function-axioms) are inconsistent by
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #98.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14476) all_57_13 = e2 & op(e0, e2) = e2
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14476) implies:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14477) all_57_13 = e2
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14478) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14478) gives:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14479) all_57_2 = e0 & op(e2, e3) = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14469), (14479) are inconsistent by
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2467.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14480) all_57_3 = e0 & op(e2, e2) = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14480) implies:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14481) all_57_3 = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14482) op(e2, e2) = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (227), (228), (229),
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14464), (14477), (14481), (14482),
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1281.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14483) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14483) gives:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14484) all_57_5 = e0 & op(e2, e1) = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14484) implies:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14485) all_57_5 = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14455), (14485) imply:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14486) e2 = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14477), (14486) imply:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14487) all_57_13 = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (161), (212), (214),
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (223), (224), (225), (228), (230), (231),
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (237), (12096), (14260), (14261), (14268),
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14271), (14292), (14294), (14296), (14310),
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14442), (14446), (14487), (function-axioms) are
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #97.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14488) all_57_10 = e0 & op(e2, e0) = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14488) implies:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14489) op(e2, e0) = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14490) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (14261), (14268), (14292), (14294),
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14296), (14490), (function-axioms) are
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #108.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14491) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14491) gives:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14492) all_57_11 = e2 & op(e1, e0) = e2
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14492) implies:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14493) all_57_11 = e2
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14494) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14494) gives:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14495) all_57_4 = e0 & op(e3, e1) = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14459), (14495) are inconsistent by
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2429.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14496) all_57_5 = e0 & op(e2, e1) = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14496) implies:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14497) all_57_5 = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14455), (14497) imply:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14498) e2 = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14493), (14498) imply:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14499) all_57_11 = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (212), (14261), (14268),
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14292), (14294), (14296), (14446), (14499),
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #99.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14500) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14500) gives:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14501) all_57_8 = e0 & op(e1, e1) = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12096), (14501) are inconsistent by
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #170.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14502) all_57_14 = e0 & op(e0, e1) = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14502) implies:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14503) all_57_14 = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_15,
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e2, simplifying with (14292), (14489)
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14504) all_52_15 = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, e2, simplifying with (14293), (14456)
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14505) all_52_13 = e2
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e1,
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (14295), (14470) gives:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14506) all_52_9 = e1
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14309), (14504) imply:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14507) ~ (e3 = e0)
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14443), (14504) imply:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14508) ~ (e1 = e0)
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14296), (14504) imply:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14509) op(e0, e0) = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (207), (208),
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (219), (220), (231), (233), (237),
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (12096), (14267), (14271), (14310),
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14503), (14509), (function-axioms) are
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #100.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14510) all_57_15 = e2 & op(e0, e0) = e2
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14510) implies:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14511) op(e0, e0) = e2
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14446), (14511), (function-axioms) are
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2177.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14512) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14512) gives:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14513) all_57_4 = e0 & op(e3, e1) = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14459), (14513) are inconsistent by
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2429.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14514) all_57_9 = e0 & op(e3, e0) = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14514) implies:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14515) op(e3, e0) = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14268), (14515), (function-axioms) are
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #313.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | (14516) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14516) gives:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (14517) all_57_6 = e1 & op(e1, e3) = e1
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14517) implies:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (14518) all_57_6 = e1
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14519) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14519) gives:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14520) all_57_1 = e1 & op(e3, e2) = e1
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14464), (14520) are inconsistent by
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2446.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14521) all_57_3 = e1 & op(e2, e2) = e1
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14521) implies:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14522) op(e2, e2) = e1
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14296), (14303), (14443), (14446), (14451),
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14522), (function-axioms) are inconsistent by
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1688.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14523) (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_13 =
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14523) gives:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14524) all_57_7 = e1 & op(e1, e2) = e1
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14524) implies:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14525) all_57_7 = e1
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14526) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14526) gives:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14527) all_57_6 = e0 & op(e1, e3) = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14527) implies:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14528) all_57_6 = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14518), (14528) are inconsistent by
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2227.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14529) all_57_7 = e0 & op(e1, e2) = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14525), (14529) are inconsistent by
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #509.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14530) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14530) gives:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14531) all_57_8 = e0 & op(e1, e1) = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14531) implies:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14532) all_57_8 = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12096), (14532) imply:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14533) e3 = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14260), (14533) imply:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14534) all_57_3 = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (14271), (14310), (14518), (14534),
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1632.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14535) all_57_11 = e0 & op(e1, e0) = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14535) implies:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14536) all_57_11 = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (212), (14261), (14268),
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14292), (14294), (14296), (14446), (14536),
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #99.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14537) all_57_13 = e1 & op(e0, e2) = e1
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (14440), (14537), (function-axioms) are
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #330.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (14538) all_57_12 = e1 & op(e0, e3) = e1
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14538) implies:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (14539) all_57_12 = e1
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14271), (14539) imply:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (14540) e3 = e1
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14540) implies:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (14541) e3 = e1
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14267), (14541) imply:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (14542) all_57_9 = e1
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (231), (237), (14310),
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (14459), (14542), (function-axioms) are
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1672.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | (14543) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14543) gives:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | (14544) all_57_4 = e0 & op(e3, e1) = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14544) implies:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | (14545) all_57_4 = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14459), (14545) are inconsistent by
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2438.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | (14546) all_57_9 = e0 & op(e3, e0) = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14546) implies:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | (14547) op(e3, e0) = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14268), (14547), (function-axioms) are
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #313.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | (14548) all_57_5 = e1 & op(e2, e1) = e1
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14548) implies:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | (14549) all_57_5 = e1
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14455), (14549) are inconsistent by
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1885.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | (14550) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14550) gives:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | (14551) all_57_8 = e1 & op(e1, e1) = e1
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12096), (14551) are inconsistent by
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | sub-proof #169.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | (14552) all_57_14 = e1 & op(e0, e1) = e1
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (14441), (14552), (function-axioms) are
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #225.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | (14553) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_14 =
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 224.22/38.40 | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | BETA: splitting (14553) gives:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | (14554) all_57_8 = e2 & op(e1, e1) = e2
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12096), (14554) are inconsistent by
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | sub-proof #172.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | (14555) all_57_14 = e2 & op(e0, e1) = e2
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | ALPHA: (14555) implies:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | (14556) all_57_14 = e2
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | (14557) all_57_15 = e0 & op(e0, e0) = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | ALPHA: (14557) implies:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | (14558) op(e0, e0) = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14446), (14558), (function-axioms) are
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2290.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | (14559) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | ALPHA: (14559) implies:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | (14560) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14560) gives:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | (14561) all_57_12 = e0 & op(e0, e3) = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14561) implies:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | (14562) all_57_12 = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14271), (14562) are inconsistent by
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2153.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | (14563) (all_57_13 = e0 & op(e0, e2) = e0) | (all_57_14 =
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14563) gives:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | (14564) all_57_13 = e0 & op(e0, e2) = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14564) implies:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | (14565) all_57_13 = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (161), (212), (214),
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | (215), (223), (224), (225), (228), (230), (231),
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | (233), (237), (12096), (14260), (14261), (14268),
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | (14271), (14292), (14294), (14296), (14310),
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | (14442), (14446), (14565), (function-axioms) are
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #97.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | (14566) all_57_14 = e0 & op(e0, e1) = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14566) implies:
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | (14567) all_57_14 = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14556), (14567) are inconsistent by
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2422.
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | End of split
% 224.22/38.40 | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | (14568) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 224.22/38.40 | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 224.22/38.40 | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.22/38.40 | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 224.22/38.40 | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 224.22/38.40 | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 224.22/38.40 | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 224.22/38.40 | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 224.22/38.40 | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 224.22/38.40 | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 224.22/38.40 | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.22/38.40 | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 224.22/38.40 | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 224.22/38.40 | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 224.22/38.40 | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 224.22/38.40 | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 224.22/38.40 | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | BETA: splitting (14568) gives:
% 224.22/38.40 | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | Case 1:
% 224.22/38.40 | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | (14569) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 224.22/38.40 | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 224.22/38.40 | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.22/38.40 | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 224.22/38.40 | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 224.22/38.40 | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 224.22/38.40 | | | | | | | | | | | | | | | | $i(all_52_23)
% 224.22/38.40 | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | ALPHA: (14569) implies:
% 224.22/38.40 | | | | | | | | | | | | | | | | (14570) op(e1, e1) = all_52_21
% 224.22/38.40 | | | | | | | | | | | | | | | | (14571) op(all_52_21, all_52_21) = e1
% 224.22/38.40 | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | REF_CLOSE: (45), (12097), (14262), (14570), (14571),
% 224.22/38.40 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.40 | | | | | | | | | | | | | | | | #167.
% 224.22/38.40 | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | Case 2:
% 224.22/38.40 | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | (14572) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 224.22/38.40 | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 224.22/38.40 | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.22/38.40 | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 224.22/38.40 | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 224.22/38.40 | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 224.22/38.40 | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 224.22/38.40 | | | | | | | | | | | | | | | | $i(all_52_31)
% 224.22/38.40 | | | | | | | | | | | | | | | |
% 224.22/38.40 | | | | | | | | | | | | | | | | ALPHA: (14572) implies:
% 224.22/38.40 | | | | | | | | | | | | | | | | (14573) op(e0, e3) = all_52_25
% 224.22/38.41 | | | | | | | | | | | | | | | | (14574) op(all_52_25, all_52_25) = e3
% 224.22/38.41 | | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | | REF_CLOSE: (45), (14272), (14277), (14573), (14574),
% 224.22/38.41 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.41 | | | | | | | | | | | | | | | | #96.
% 224.22/38.41 | | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | End of split
% 224.22/38.41 | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | End of split
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | Case 2:
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | (14575) all_57_13 = e3 & op(e0, e2) = e3
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | ALPHA: (14575) implies:
% 224.22/38.41 | | | | | | | | | | | | | | (14576) op(e0, e2) = e3
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_7, e3,
% 224.22/38.41 | | | | | | | | | | | | | | e2, e0, simplifying with (159), (14576) gives:
% 224.22/38.41 | | | | | | | | | | | | | | (14577) all_53_7 = e3
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | REDUCE: (14255), (14577) imply:
% 224.22/38.41 | | | | | | | | | | | | | | (14578) $false
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | CLOSE: (14578) is inconsistent.
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | End of split
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | Case 2:
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | (14579) (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 =
% 224.22/38.41 | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | BETA: splitting (14579) gives:
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | Case 1:
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | (14580) all_57_14 = e3 & op(e0, e1) = e3
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | REF_CLOSE: (158), (12089), (14580), (function-axioms) are
% 224.22/38.41 | | | | | | | | | | | | | | inconsistent by sub-proof #129.
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | Case 2:
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | (14581) all_57_15 = e3 & op(e0, e0) = e3
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | ALPHA: (14581) implies:
% 224.22/38.41 | | | | | | | | | | | | | | (14582) op(e0, e0) = e3
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | REF_CLOSE: (36), (14264), (14582), (function-axioms) are
% 224.22/38.41 | | | | | | | | | | | | | | inconsistent by sub-proof #151.
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | End of split
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | End of split
% 224.22/38.41 | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | Case 2:
% 224.22/38.41 | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | (14583) all_57_10 = e3 & op(e2, e0) = e3
% 224.22/38.41 | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | ALPHA: (14583) implies:
% 224.22/38.41 | | | | | | | | | | | | (14584) op(e2, e0) = e3
% 224.22/38.41 | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | REF_CLOSE: (165), (14256), (14584), (function-axioms) are
% 224.22/38.41 | | | | | | | | | | | | inconsistent by sub-proof #2301.
% 224.22/38.41 | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | End of split
% 224.22/38.41 | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | Case 2:
% 224.22/38.41 | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | (14585) (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 =
% 224.22/38.41 | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 224.22/38.41 | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | REF_CLOSE: (36), (161), (12090), (14264), (14585),
% 224.22/38.41 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.41 | | | | | | | | | | | #146.
% 224.22/38.41 | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | End of split
% 224.22/38.41 | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | Case 2:
% 224.22/38.41 | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | (14586) all_12_2 = e3
% 224.22/38.41 | | | | | | | | | | (14587) ( ~ (all_12_0 = e2) & op(all_12_1, e0) = all_12_0
% 224.22/38.41 | | | | | | | | | | & op(e0, e3) = all_12_1 & $i(all_12_0) &
% 224.22/38.41 | | | | | | | | | | $i(all_12_1)) | ( ~ (all_12_1 = e1) & op(e0, e3)
% 224.22/38.41 | | | | | | | | | | = all_12_1 & $i(all_12_1))
% 224.22/38.41 | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | COMBINE_EQS: (325), (14586) imply:
% 224.22/38.41 | | | | | | | | | | (14588) all_4_2 = e3
% 224.22/38.41 | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | SIMP: (14588) implies:
% 224.22/38.41 | | | | | | | | | | (14589) all_4_2 = e3
% 224.22/38.41 | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | COMBINE_EQS: (318), (14589) imply:
% 224.22/38.41 | | | | | | | | | | (14590) all_22_2 = e3
% 224.22/38.41 | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | REDUCE: (351), (14589) imply:
% 224.22/38.41 | | | | | | | | | | (14591) ~ (all_53_3 = e3)
% 224.22/38.41 | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | REDUCE: (370), (14589) imply:
% 224.22/38.41 | | | | | | | | | | (14592) ~ (all_53_12 = e3)
% 224.22/38.41 | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | REDUCE: (36), (14589) imply:
% 224.22/38.41 | | | | | | | | | | (14593) op(e0, e0) = e3
% 224.22/38.41 | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | BETA: splitting (236) gives:
% 224.22/38.41 | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | Case 1:
% 224.22/38.41 | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | (14594) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_2 = e3
% 224.22/38.41 | | | | | | | | | | | & op(e2, e3) = e3)
% 224.22/38.41 | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | BETA: splitting (14594) gives:
% 224.22/38.41 | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | Case 1:
% 224.22/38.41 | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | (14595) all_57_0 = e3 & op(e3, e3) = e3
% 224.22/38.41 | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | ALPHA: (14595) implies:
% 224.22/38.41 | | | | | | | | | | | | (14596) op(e3, e3) = e3
% 224.22/38.41 | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_2, e3,
% 224.22/38.41 | | | | | | | | | | | | e3, e3, simplifying with (45), (14596) gives:
% 224.22/38.41 | | | | | | | | | | | | (14597) all_10_2 = e3
% 224.22/38.41 | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | BETA: splitting (107) gives:
% 224.22/38.41 | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | Case 1:
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | (14598) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.22/38.41 | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.22/38.41 | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.22/38.41 | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.22/38.41 | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.22/38.41 | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.22/38.41 | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.22/38.41 | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 224.22/38.41 | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 224.22/38.41 | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 224.22/38.41 | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 224.22/38.41 | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 224.22/38.41 | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 224.22/38.41 | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 224.22/38.41 | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (170), (171), (235),
% 224.22/38.41 | | | | | | | | | | | | | (14254), (14261), (14596), (14598),
% 224.22/38.41 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.41 | | | | | | | | | | | | | #94.
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | Case 2:
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | (14599) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 224.22/38.41 | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 224.22/38.41 | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.22/38.41 | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 224.22/38.41 | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 224.22/38.41 | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 224.22/38.41 | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 224.22/38.41 | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 224.22/38.41 | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 224.22/38.41 | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 224.22/38.41 | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.22/38.41 | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 224.22/38.41 | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 224.22/38.41 | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 224.22/38.41 | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 224.22/38.41 | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | BETA: splitting (14599) gives:
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | Case 1:
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | (14600) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 224.22/38.41 | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 224.22/38.41 | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.22/38.41 | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 224.22/38.41 | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 224.22/38.41 | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 224.22/38.41 | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 224.22/38.41 | | | | | | | | | | | | | | $i(all_52_23)
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | ALPHA: (14600) implies:
% 224.22/38.41 | | | | | | | | | | | | | | (14601) op(e1, e1) = all_52_21
% 224.22/38.41 | | | | | | | | | | | | | | (14602) op(all_52_21, all_52_21) = e1
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | REF_CLOSE: (45), (12097), (14262), (14601), (14602),
% 224.22/38.41 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.41 | | | | | | | | | | | | | | #167.
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | Case 2:
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | (14603) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 224.22/38.41 | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 224.22/38.41 | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.22/38.41 | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 224.22/38.41 | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 224.22/38.41 | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 224.22/38.41 | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 224.22/38.41 | | | | | | | | | | | | | | $i(all_52_31)
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | REF_CLOSE: (7), (14593), (14596), (14603), (function-axioms)
% 224.22/38.41 | | | | | | | | | | | | | | are inconsistent by sub-proof #1442.
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | End of split
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | End of split
% 224.22/38.41 | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | Case 2:
% 224.22/38.41 | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | (14604) all_57_2 = e3 & op(e2, e3) = e3
% 224.22/38.41 | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | REF_CLOSE: (168), (14253), (14604), (function-axioms) are
% 224.22/38.41 | | | | | | | | | | | | inconsistent by sub-proof #2299.
% 224.22/38.41 | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | End of split
% 224.22/38.41 | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | Case 2:
% 224.22/38.41 | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | (14605) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_12 =
% 224.22/38.41 | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 224.22/38.41 | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | BETA: splitting (14605) gives:
% 224.22/38.41 | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | Case 1:
% 224.22/38.41 | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | (14606) all_57_6 = e3 & op(e1, e3) = e3
% 224.22/38.41 | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | ALPHA: (14606) implies:
% 224.22/38.41 | | | | | | | | | | | | (14607) all_57_6 = e3
% 224.22/38.41 | | | | | | | | | | | | (14608) op(e1, e3) = e3
% 224.22/38.41 | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | BETA: splitting (237) gives:
% 224.22/38.41 | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | Case 1:
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | (14609) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_1 = e3
% 224.22/38.41 | | | | | | | | | | | | | & op(e3, e2) = e3)
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (171), (230), (232),
% 224.22/38.41 | | | | | | | | | | | | | (234), (14254), (14607), (14609),
% 224.22/38.41 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.41 | | | | | | | | | | | | | #269.
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | Case 2:
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | (14610) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_9 = e3
% 224.22/38.41 | | | | | | | | | | | | | & op(e3, e0) = e3)
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | BETA: splitting (14610) gives:
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | Case 1:
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | (14611) all_57_4 = e3 & op(e3, e1) = e3
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | ALPHA: (14611) implies:
% 224.22/38.41 | | | | | | | | | | | | | | (14612) all_57_4 = e3
% 224.22/38.41 | | | | | | | | | | | | | | (14613) op(e3, e1) = e3
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (45),
% 224.22/38.41 | | | | | | | | | | | | | | (58), (64), (67), (88), (107), (121), (122),
% 224.22/38.41 | | | | | | | | | | | | | | (135), (141), (142), (145), (150), (158), (159),
% 224.22/38.41 | | | | | | | | | | | | | | (160), (161), (163), (164), (165), (166), (168),
% 224.22/38.41 | | | | | | | | | | | | | | (169), (170), (171), (195), (205), (207), (208),
% 224.22/38.41 | | | | | | | | | | | | | | (209), (210), (211), (212), (213), (214), (215),
% 224.22/38.41 | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (222),
% 224.22/38.41 | | | | | | | | | | | | | | (223), (224), (225), (226), (227), (228), (229),
% 224.22/38.41 | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 224.22/38.41 | | | | | | | | | | | | | | (237), (249), (277), (315), (327), (336), (338),
% 224.22/38.41 | | | | | | | | | | | | | | (342), (344), (346), (348), (361), (363), (364),
% 224.22/38.41 | | | | | | | | | | | | | | (366), (368), (373), (12090), (14255), (14256),
% 224.22/38.41 | | | | | | | | | | | | | | (14260), (14261), (14262), (14587), (14590),
% 224.22/38.41 | | | | | | | | | | | | | | (14592), (14607), (14608), (14612), (14613),
% 224.22/38.41 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.41 | | | | | | | | | | | | | | #187.
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | Case 2:
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | (14614) all_57_9 = e3 & op(e3, e0) = e3
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | ALPHA: (14614) implies:
% 224.22/38.41 | | | | | | | | | | | | | | (14615) op(e3, e0) = e3
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | REF_CLOSE: (169), (14592), (14615), (function-axioms) are
% 224.22/38.41 | | | | | | | | | | | | | | inconsistent by sub-proof #2458.
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | End of split
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | End of split
% 224.22/38.41 | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | Case 2:
% 224.22/38.41 | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | (14616) all_57_12 = e3 & op(e0, e3) = e3
% 224.22/38.41 | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | ALPHA: (14616) implies:
% 224.22/38.41 | | | | | | | | | | | | (14617) op(e0, e3) = e3
% 224.22/38.41 | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | REF_CLOSE: (160), (14591), (14617), (function-axioms) are
% 224.22/38.41 | | | | | | | | | | | | inconsistent by sub-proof #132.
% 224.22/38.41 | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | End of split
% 224.22/38.41 | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | End of split
% 224.22/38.41 | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | End of split
% 224.22/38.41 | | | | | | | | |
% 224.22/38.41 | | | | | | | | Case 2:
% 224.22/38.41 | | | | | | | | |
% 224.22/38.41 | | | | | | | | | (14618) all_10_2 = e1
% 224.22/38.41 | | | | | | | | |
% 224.22/38.41 | | | | | | | | | REDUCE: (338), (14618) imply:
% 224.22/38.41 | | | | | | | | | (14619) ~ (all_53_1 = e1)
% 224.22/38.41 | | | | | | | | |
% 224.22/38.41 | | | | | | | | | REDUCE: (340), (14618) imply:
% 224.22/38.41 | | | | | | | | | (14620) ~ (all_53_2 = e1)
% 224.22/38.41 | | | | | | | | |
% 224.22/38.41 | | | | | | | | | REDUCE: (342), (14618) imply:
% 224.22/38.41 | | | | | | | | | (14621) ~ (all_53_3 = e1)
% 224.22/38.41 | | | | | | | | |
% 224.22/38.41 | | | | | | | | | REDUCE: (344), (14618) imply:
% 224.22/38.41 | | | | | | | | | (14622) ~ (all_53_4 = e1)
% 224.22/38.41 | | | | | | | | |
% 224.22/38.41 | | | | | | | | | REDUCE: (346), (14618) imply:
% 224.22/38.41 | | | | | | | | | (14623) ~ (all_53_8 = e1)
% 224.22/38.41 | | | | | | | | |
% 224.22/38.41 | | | | | | | | | REDUCE: (348), (14618) imply:
% 224.22/38.41 | | | | | | | | | (14624) ~ (all_53_12 = e1)
% 224.22/38.41 | | | | | | | | |
% 224.22/38.41 | | | | | | | | | REDUCE: (45), (14618) imply:
% 224.22/38.41 | | | | | | | | | (14625) op(e3, e3) = e1
% 224.22/38.41 | | | | | | | | |
% 224.22/38.41 | | | | | | | | | BETA: splitting (236) gives:
% 224.22/38.41 | | | | | | | | |
% 224.22/38.41 | | | | | | | | | Case 1:
% 224.22/38.41 | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | (14626) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_2 = e3
% 224.22/38.41 | | | | | | | | | | & op(e2, e3) = e3)
% 224.22/38.41 | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | REF_CLOSE: (8), (168), (14253), (14625), (14626),
% 224.22/38.41 | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.41 | | | | | | | | | | #181.
% 224.22/38.41 | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | Case 2:
% 224.22/38.41 | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | (14627) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_12 =
% 224.22/38.41 | | | | | | | | | | e3 & op(e0, e3) = e3)
% 224.22/38.41 | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | BETA: splitting (14627) gives:
% 224.22/38.41 | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | Case 1:
% 224.22/38.41 | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | (14628) all_57_6 = e3 & op(e1, e3) = e3
% 224.22/38.41 | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | REF_CLOSE: (164), (12085), (14628), (function-axioms) are
% 224.22/38.41 | | | | | | | | | | | inconsistent by sub-proof #153.
% 224.22/38.41 | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | Case 2:
% 224.22/38.41 | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | (14629) all_57_12 = e3 & op(e0, e3) = e3
% 224.22/38.41 | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | ALPHA: (14629) implies:
% 224.22/38.41 | | | | | | | | | | | (14630) all_57_12 = e3
% 224.22/38.41 | | | | | | | | | | | (14631) op(e0, e3) = e3
% 224.22/38.41 | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | BETA: splitting (237) gives:
% 224.22/38.41 | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | Case 1:
% 224.22/38.41 | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | (14632) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_1 = e3
% 224.22/38.41 | | | | | | | | | | | | & op(e3, e2) = e3)
% 224.22/38.41 | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | BETA: splitting (14632) gives:
% 224.22/38.41 | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | Case 1:
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | (14633) all_57_0 = e3 & op(e3, e3) = e3
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | ALPHA: (14633) implies:
% 224.22/38.41 | | | | | | | | | | | | | (14634) op(e3, e3) = e3
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | REF_CLOSE: (8), (14625), (14634), (function-axioms) are
% 224.22/38.41 | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | Case 2:
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | (14635) all_57_1 = e3 & op(e3, e2) = e3
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | REF_CLOSE: (171), (14254), (14635), (function-axioms) are
% 224.22/38.41 | | | | | | | | | | | | | inconsistent by sub-proof #2286.
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | End of split
% 224.22/38.41 | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | Case 2:
% 224.22/38.41 | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | (14636) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_9 = e3
% 224.22/38.41 | | | | | | | | | | | | & op(e3, e0) = e3)
% 224.22/38.41 | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | BETA: splitting (14636) gives:
% 224.22/38.41 | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | Case 1:
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | (14637) all_57_4 = e3 & op(e3, e1) = e3
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | REF_CLOSE: (170), (12087), (14637), (function-axioms) are
% 224.22/38.41 | | | | | | | | | | | | | inconsistent by sub-proof #177.
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | Case 2:
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | (14638) all_57_9 = e3 & op(e3, e0) = e3
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | ALPHA: (14638) implies:
% 224.22/38.41 | | | | | | | | | | | | | (14639) op(e3, e0) = e3
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_3, e3,
% 224.22/38.41 | | | | | | | | | | | | | e3, e0, simplifying with (160), (14631) gives:
% 224.22/38.41 | | | | | | | | | | | | | (14640) all_53_3 = e3
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_12,
% 224.22/38.41 | | | | | | | | | | | | | e3, e0, e3, simplifying with (169), (14639) gives:
% 224.22/38.41 | | | | | | | | | | | | | (14641) all_53_12 = e3
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | REDUCE: (370), (14641) imply:
% 224.22/38.41 | | | | | | | | | | | | | (14642) ~ (all_4_2 = e3)
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | SIMP: (14642) implies:
% 224.22/38.41 | | | | | | | | | | | | | (14643) ~ (all_4_2 = e3)
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | BETA: splitting (107) gives:
% 224.22/38.41 | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | Case 1:
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | (14644) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.22/38.41 | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.22/38.41 | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.22/38.41 | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.22/38.41 | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.22/38.41 | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.22/38.41 | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.22/38.41 | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 224.22/38.41 | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 224.22/38.41 | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 224.22/38.41 | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 224.22/38.41 | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 224.22/38.41 | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 224.22/38.41 | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 224.22/38.41 | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | BETA: splitting (14644) gives:
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | Case 1:
% 224.22/38.41 | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | (14645) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.22/38.41 | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.22/38.41 | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.22/38.41 | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.22/38.41 | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.22/38.41 | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.22/38.41 | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.22/38.41 | | | | | | | | | | | | | | | $i(all_52_7)
% 224.22/38.41 | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | ALPHA: (14645) implies:
% 224.22/38.41 | | | | | | | | | | | | | | | (14646) op(e3, e0) = all_52_7
% 224.22/38.41 | | | | | | | | | | | | | | | (14647) op(e3, e3) = all_52_1
% 224.22/38.41 | | | | | | | | | | | | | | | (14648) op(all_52_7, all_52_7) = e0
% 224.22/38.41 | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | REF_CLOSE: (4), (14625), (14639), (14646), (14647), (14648),
% 224.22/38.41 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.41 | | | | | | | | | | | | | | | #123.
% 224.22/38.41 | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | Case 2:
% 224.22/38.41 | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | (14649) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 224.22/38.41 | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 224.22/38.41 | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 224.22/38.41 | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 224.22/38.41 | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 224.22/38.41 | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 224.22/38.41 | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 224.22/38.41 | | | | | | | | | | | | | | | $i(all_52_15)
% 224.22/38.41 | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | ALPHA: (14649) implies:
% 224.22/38.41 | | | | | | | | | | | | | | | (14650) op(e2, e2) = all_52_11
% 224.22/38.41 | | | | | | | | | | | | | | | (14651) op(all_52_11, all_52_11) = e2
% 224.22/38.41 | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 224.22/38.41 | | | | | | | | | | | | | | | all_52_11, e2, e2, simplifying with (14261),
% 224.22/38.41 | | | | | | | | | | | | | | | (14650) gives:
% 224.22/38.41 | | | | | | | | | | | | | | | (14652) all_52_11 = e3
% 224.22/38.41 | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | REDUCE: (14651), (14652) imply:
% 224.22/38.41 | | | | | | | | | | | | | | | (14653) op(e3, e3) = e2
% 224.22/38.41 | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (164), (168), (232), (14619), (14620),
% 224.22/38.41 | | | | | | | | | | | | | | | (14630), (14653), (function-axioms) are
% 224.22/38.41 | | | | | | | | | | | | | | | inconsistent by sub-proof #238.
% 224.22/38.41 | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | End of split
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | Case 2:
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | (14654) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 224.22/38.41 | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 224.22/38.41 | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.22/38.41 | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 224.22/38.41 | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 224.22/38.41 | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 224.22/38.41 | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 224.22/38.41 | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 224.22/38.41 | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 224.22/38.41 | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 224.22/38.41 | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.22/38.41 | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 224.22/38.41 | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 224.22/38.41 | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 224.22/38.41 | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 224.22/38.41 | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | BETA: splitting (14654) gives:
% 224.22/38.41 | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | Case 1:
% 224.22/38.41 | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | (14655) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 224.22/38.41 | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 224.22/38.41 | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.22/38.41 | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 224.22/38.41 | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 224.22/38.41 | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 224.22/38.41 | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 224.22/38.41 | | | | | | | | | | | | | | | $i(all_52_23)
% 224.22/38.41 | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | ALPHA: (14655) implies:
% 224.22/38.41 | | | | | | | | | | | | | | | (14656) op(e1, e1) = all_52_21
% 224.22/38.41 | | | | | | | | | | | | | | | (14657) op(e1, e2) = all_52_19
% 224.22/38.41 | | | | | | | | | | | | | | | (14658) op(e1, e3) = all_52_17
% 224.22/38.41 | | | | | | | | | | | | | | | (14659) op(all_52_21, all_52_21) = e1
% 224.22/38.41 | | | | | | | | | | | | | | | (14660) op(all_52_19, all_52_19) = e2
% 224.22/38.41 | | | | | | | | | | | | | | | (14661) op(all_52_17, all_52_17) = e3
% 224.22/38.41 | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 224.22/38.41 | | | | | | | | | | | | | | | all_52_21, e1, e1, simplifying with (12097),
% 224.22/38.41 | | | | | | | | | | | | | | | (14656) gives:
% 224.22/38.41 | | | | | | | | | | | | | | | (14662) all_52_21 = e3
% 224.22/38.41 | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_6,
% 224.22/38.41 | | | | | | | | | | | | | | | all_52_19, e2, e1, simplifying with (163), (14657)
% 224.22/38.41 | | | | | | | | | | | | | | | gives:
% 224.22/38.41 | | | | | | | | | | | | | | | (14663) all_53_6 = all_52_19
% 224.22/38.41 | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_2,
% 224.22/38.41 | | | | | | | | | | | | | | | all_52_17, e3, e1, simplifying with (164), (14658)
% 224.22/38.41 | | | | | | | | | | | | | | | gives:
% 224.22/38.41 | | | | | | | | | | | | | | | (14664) all_53_2 = all_52_17
% 224.22/38.41 | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | REDUCE: (12085), (14664) imply:
% 224.22/38.41 | | | | | | | | | | | | | | | (14665) ~ (all_52_17 = e3)
% 224.22/38.41 | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 224.22/38.41 | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | Case 1:
% 224.22/38.41 | | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | | (14666) ~ (all_30_2 = e1)
% 224.22/38.41 | | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | | REDUCE: (330), (14666) imply:
% 224.22/38.41 | | | | | | | | | | | | | | | | (14667) ~ (all_4_2 = e1)
% 224.22/38.41 | | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 224.22/38.41 | | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.41 | | | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | | | (14668) all_55_15 = e3
% 224.22/38.41 | | | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (14668) imply:
% 224.22/38.41 | | | | | | | | | | | | | | | | | (14669) all_4_2 = e3
% 224.22/38.41 | | | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | | | REDUCE: (14643), (14669) imply:
% 224.22/38.41 | | | | | | | | | | | | | | | | | (14670) $false
% 224.22/38.41 | | | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | | | CLOSE: (14670) is inconsistent.
% 224.22/38.41 | | | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.41 | | | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | | | (14671) ~ (all_55_15 = e3)
% 224.22/38.41 | | | | | | | | | | | | | | | | | (14672) all_55_15 = e2 | all_55_15 = e1 | all_55_15 = e0
% 224.22/38.41 | | | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | | | BETA: splitting (14672) gives:
% 224.22/38.41 | | | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.41 | | | | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | | | | (14673) all_55_15 = e2
% 224.22/38.41 | | | | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (14673) imply:
% 224.22/38.41 | | | | | | | | | | | | | | | | | | (14674) all_4_2 = e2
% 224.22/38.41 | | | | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | | | | REDUCE: (373), (14674) imply:
% 224.22/38.41 | | | | | | | | | | | | | | | | | | (14675) $false
% 224.22/38.41 | | | | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | | | | CLOSE: (14675) is inconsistent.
% 224.22/38.41 | | | | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.41 | | | | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | | | | (14676) ~ (all_55_15 = e2)
% 224.22/38.41 | | | | | | | | | | | | | | | | | | (14677) all_55_15 = e1 | all_55_15 = e0
% 224.22/38.41 | | | | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | | | | BETA: splitting (14677) gives:
% 224.22/38.41 | | | | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.41 | | | | | | | | | | | | | | | | | | |
% 224.22/38.41 | | | | | | | | | | | | | | | | | | | (14678) all_55_15 = e1
% 224.22/38.42 | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (14678) imply:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | (14679) all_4_2 = e1
% 224.22/38.42 | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | REDUCE: (14667), (14679) imply:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | (14680) $false
% 224.22/38.42 | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | CLOSE: (14680) is inconsistent.
% 224.22/38.42 | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | (14681) all_55_15 = e0
% 224.22/38.42 | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (244), (14681) imply:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | (14682) all_4_2 = e0
% 224.22/38.42 | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | REDUCE: (362), (14682) imply:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | (14683) ~ (all_53_7 = e0)
% 224.22/38.42 | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | REDUCE: (371), (14682) imply:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | (14684) ~ (all_53_13 = e0)
% 224.22/38.42 | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | REDUCE: (14643), (14682) imply:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | (14685) ~ (e3 = e0)
% 224.22/38.42 | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | REDUCE: (373), (14682) imply:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | (14686) ~ (e2 = e0)
% 224.22/38.42 | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | REDUCE: (14667), (14682) imply:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | (14687) ~ (e1 = e0)
% 224.22/38.42 | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | REDUCE: (36), (14682) imply:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | (14688) op(e0, e0) = e0
% 224.22/38.42 | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | (14689) all_57_15 = e0 & op(e0, e0) = e0
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | ALPHA: (14689) implies:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | (14690) all_57_15 = e0
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | (14691) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14691) gives:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | (14692) all_57_12 = e2 & op(e0, e3) = e2
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14692) implies:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | (14693) all_57_12 = e2
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14630), (14693) are inconsistent by
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2392.
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | (14694) all_57_13 = e2 & op(e0, e2) = e2
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14694) implies:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | (14695) all_57_13 = e2
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | (14696) (all_57_12 = e1 & op(e0, e3) = e1) | (all_57_13 =
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14696) gives:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | (14697) all_57_12 = e1 & op(e0, e3) = e1
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (14621), (14697), (function-axioms) are
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1947.
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | (14698) all_57_13 = e1 & op(e0, e2) = e1
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14698) implies:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | (14699) all_57_13 = e1
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14695), (14699) are inconsistent by
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2327.
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | (14700) (all_57_14 = e1 & op(e0, e1) = e1) | (all_57_15 =
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14700) gives:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | (14701) all_57_14 = e1 & op(e0, e1) = e1
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14701) implies:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | (14702) all_57_14 = e1
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | (14703) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (171), (14261), (14622), (14703),
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | #185.
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | (14704) (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_13 =
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14704) gives:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (14705) all_57_7 = e1 & op(e1, e2) = e1
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14705) implies:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (14706) all_57_7 = e1
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (14707) op(e1, e2) = e1
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14708) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14708) gives:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14709) all_57_6 = e0 & op(e1, e3) = e0
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14709) implies:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14710) all_57_6 = e0
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14711) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_2 = e2
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14711) gives:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14712) all_57_0 = e2 & op(e3, e3) = e2
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14712) implies:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14713) op(e3, e3) = e2
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (164), (168), (232), (14619), (14620),
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14630), (14713), (function-axioms) are
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #238.
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14714) all_57_2 = e2 & op(e2, e3) = e2
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14714) implies:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14715) all_57_2 = e2
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14716) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_7 = e2
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (14706), (14710), (14716) are
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #93.
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14717) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_11 =
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14717) gives:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14718) all_57_8 = e2 & op(e1, e1) = e2
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12096), (14718) are inconsistent by
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #172.
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14719) all_57_11 = e2 & op(e1, e0) = e2
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14719) implies:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14720) all_57_11 = e2
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14721) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 =
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14721) gives:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14722) all_57_9 = e1 & op(e3, e0) = e1
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (14624), (14722), (function-axioms) are
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2131.
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14723) all_57_10 = e1 & op(e2, e0) = e1
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14723) implies:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14724) all_57_10 = e1
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14725) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14725) gives:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14726) all_57_1 = e0 & op(e3, e2) = e0
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14726) implies:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14727) all_57_1 = e0
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14728) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14728) gives:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14729) all_57_0 = e2 & op(e3, e3) = e2
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14729) implies:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14730) op(e3, e3) = e2
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (14260), (14630), (14715), (14730),
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #107.
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14731) all_57_1 = e2 & op(e3, e2) = e2
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14731) implies:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14732) all_57_1 = e2
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14727), (14732) imply:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14733) e2 = e0
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14733) implies:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14734) e2 = e0
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14720), (14734) imply:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14735) all_57_11 = e0
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (160), (169),
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (373), (14621),
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14624), (14639), (14688), (14690), (14702),
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14735), (function-axioms) are inconsistent by
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #92.
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14736) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14736) gives:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14709) implies:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14737) op(e1, e3) = e0
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_17,
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, e1, simplifying with (14658), (14737)
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14738) all_52_17 = e0
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14661), (14738) imply:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14739) op(e0, e0) = e3
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14688), (14739), (function-axioms) are
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14740) all_57_9 = e2 & op(e3, e0) = e2
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14740) implies:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14741) all_57_9 = e2
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (213), (14688), (14720), (14724),
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14741), (function-axioms) are inconsistent by
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #352.
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14742) all_57_3 = e0 & op(e2, e2) = e0
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14260), (14742) are inconsistent by
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #262.
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14743) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 224.22/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (159), (14657), (14660), (14683), (14688),
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14743), (function-axioms) are inconsistent by
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1841.
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14744) (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 =
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14744) gives:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14745) all_57_11 = e1 & op(e1, e0) = e1
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14720), (14745) are inconsistent by
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1726.
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14746) all_57_15 = e1 & op(e0, e0) = e1
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14746) implies:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14747) op(e0, e0) = e1
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14688), (14747), (function-axioms) are
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2290.
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14748) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_12 =
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (14630), (14710), (14748) are
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2391.
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14749) all_57_7 = e0 & op(e1, e2) = e0
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14749) implies:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14750) op(e1, e2) = e0
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14657), (14660), (14688), (14750),
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2158.
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14751) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14751) gives:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14752) all_57_8 = e0 & op(e1, e1) = e0
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14752) implies:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14753) op(e1, e1) = e0
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (163), (14656), (14657), (14660), (14707),
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14753), (function-axioms) are inconsistent by
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #332.
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14754) all_57_11 = e0 & op(e1, e0) = e0
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14754) implies:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14755) all_57_11 = e0
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (160), (169),
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (211), (212), (373), (14621),
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14624), (14639), (14688), (14690), (14702),
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14755), (function-axioms) are inconsistent by
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #92.
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (14756) all_57_13 = e1 & op(e0, e2) = e1
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14756) implies:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (14757) all_57_13 = e1
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14695), (14757) are inconsistent by
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2327.
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | (14758) all_57_15 = e1 & op(e0, e0) = e1
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14758) implies:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | (14759) op(e0, e0) = e1
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14688), (14759), (function-axioms) are
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2290.
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | (14760) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14760) gives:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | (14761) all_57_14 = e2 & op(e0, e1) = e2
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14761) implies:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | (14762) all_57_14 = e2
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | (14763) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14763) gives:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | (14764) all_57_4 = e1 & op(e3, e1) = e1
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (14623), (14764), (function-axioms) are
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #116.
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | (14765) all_57_5 = e1 & op(e2, e1) = e1
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14765) implies:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | (14766) all_57_5 = e1
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | (14767) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14767) gives:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (14768) all_57_2 = e0 & op(e2, e3) = e0
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14768) implies:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (14769) all_57_2 = e0
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (14770) op(e2, e3) = e0
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14771) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14771) gives:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14772) all_57_4 = e0 & op(e3, e1) = e0
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14772) implies:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14773) all_57_4 = e0
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14774) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14774) gives:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14775) all_57_0 = e2 & op(e3, e3) = e2
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14775) implies:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14776) op(e3, e3) = e2
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (164), (168), (232), (14619), (14620),
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14630), (14776), (function-axioms) are
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #238.
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14777) all_57_1 = e2 & op(e3, e2) = e2
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14777) implies:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14778) all_57_1 = e2
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14779) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_2 = e2
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14779) gives:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14780) all_57_0 = e2 & op(e3, e3) = e2
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14780) implies:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14781) op(e3, e3) = e2
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (237),
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14773), (14778), (14781), (function-axioms) are
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1658.
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14782) all_57_2 = e2 & op(e2, e3) = e2
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14782) implies:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14783) all_57_2 = e2
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14769), (14783) imply:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14784) e2 = e0
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14762), (14784) imply:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14785) all_57_14 = e0
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (208), (209),
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (14621), (14688), (14690), (14785),
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #320.
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14786) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_12 =
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14786) gives:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14787) all_57_6 = e2 & op(e1, e3) = e2
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14787) implies:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14788) all_57_6 = e2
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14789) (all_57_12 = e1 & op(e0, e3) = e1) | (all_57_13 =
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14789) gives:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14790) all_57_12 = e1 & op(e0, e3) = e1
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (14621), (14790), (function-axioms) are
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1947.
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14791) all_57_13 = e1 & op(e0, e2) = e1
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14791) implies:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14792) all_57_13 = e1
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14793) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14793) gives:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14794) all_57_1 = e0 & op(e3, e2) = e0
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14794) implies:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14795) all_57_1 = e0
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14778), (14795) imply:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14796) e2 = e0
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14762), (14796) imply:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14797) all_57_14 = e0
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (209), (210), (14688),
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14690), (14792), (14797), (function-axioms) are
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2123.
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14798) all_57_3 = e0 & op(e2, e2) = e0
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14798) implies:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14799) all_57_3 = e0
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14769), (14799) are inconsistent by sub-proof
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2246.
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14800) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (159), (14657), (14660), (14683), (14688),
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14800), (function-axioms) are inconsistent by
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1841.
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14801) (all_57_14 = e1 & op(e0, e1) = e1) | (all_57_15 =
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14801) gives:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14802) all_57_14 = e1 & op(e0, e1) = e1
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14802) implies:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14803) all_57_14 = e1
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14762), (14803) imply:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14804) e2 = e1
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14804) implies:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14805) e2 = e1
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14788), (14805) imply:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14806) all_57_6 = e1
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (14625), (14630), (14769),
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14806), (function-axioms) are inconsistent by
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #350.
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14807) all_57_15 = e1 & op(e0, e0) = e1
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14807) implies:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14808) op(e0, e0) = e1
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14688), (14808), (function-axioms) are
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2290.
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14809) all_57_12 = e2 & op(e0, e3) = e2
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14630), (14809) are inconsistent by
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2232.
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14810) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14810) gives:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14811) all_57_4 = e2 & op(e3, e1) = e2
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14811) implies:
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14812) all_57_4 = e2
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14773), (14812) imply:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14813) e2 = e0
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14813) implies:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14814) e2 = e0
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14762), (14814) imply:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14815) all_57_14 = e0
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (208), (209),
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (14621), (14688), (14690), (14815),
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #320.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14816) all_57_9 = e2 & op(e3, e0) = e2
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14639), (14816), (function-axioms) are
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #306.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14817) all_57_5 = e0 & op(e2, e1) = e0
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14766), (14817) are inconsistent by
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #942.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14818) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14818) gives:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14819) all_57_8 = e0 & op(e1, e1) = e0
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14819) implies:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14820) op(e1, e1) = e0
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14252), (14656), (14659), (14688), (14770),
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14820), (function-axioms) are inconsistent by
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #227.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14821) all_57_14 = e0 & op(e0, e1) = e0
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14821) implies:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14822) all_57_14 = e0
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (208), (209),
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (14621), (14688), (14690), (14822),
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #320.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (14823) all_57_3 = e0 & op(e2, e2) = e0
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14260), (14823) are inconsistent by
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #262.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | (14824) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14824) gives:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (14825) all_57_5 = e0 & op(e2, e1) = e0
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14825) implies:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (14826) all_57_5 = e0
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14766), (14826) are inconsistent by
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2350.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (14827) all_57_10 = e0 & op(e2, e0) = e0
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14827) implies:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (14828) op(e2, e0) = e0
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (14684), (14828), (function-axioms) are
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2470.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | (14829) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14829) gives:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | (14830) all_57_8 = e1 & op(e1, e1) = e1
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12096), (14830) are inconsistent by
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #168.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | (14831) all_57_14 = e1 & op(e0, e1) = e1
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14831) implies:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | (14832) all_57_14 = e1
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14762), (14832) are inconsistent by
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2178.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | (14833) all_57_15 = e2 & op(e0, e0) = e2
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14833) implies:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | (14834) op(e0, e0) = e2
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (14834), (function-axioms) are
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2334.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | (14835) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | ALPHA: (14835) implies:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | (14836) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | (14837) (all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 & op(e1,
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | BETA: splitting (14836) gives:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | (14838) all_57_12 = e0 & op(e0, e3) = e0
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14630), (14838) are inconsistent by
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | sub-proof #2237.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | (14839) (all_57_13 = e0 & op(e0, e2) = e0) | (all_57_14 =
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14839) gives:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | (14840) all_57_13 = e0 & op(e0, e2) = e0
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14840) implies:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | (14841) op(e0, e2) = e0
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (14683), (14841), (function-axioms) are
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2332.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | (14842) all_57_14 = e0 & op(e0, e1) = e0
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14842) implies:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | (14843) all_57_14 = e0
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | (14844) (all_57_12 = e2 & op(e0, e3) = e2) | (all_57_13 =
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14844) gives:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | (14845) all_57_12 = e2 & op(e0, e3) = e2
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14630), (14845) are inconsistent by
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2232.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | (14846) all_57_13 = e2 & op(e0, e2) = e2
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14846) implies:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | (14847) all_57_13 = e2
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | (14848) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (171), (14261), (14622), (14848),
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | #185.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | (14849) (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_13 =
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14849) gives:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (14850) all_57_7 = e1 & op(e1, e2) = e1
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14850) implies:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (14851) all_57_7 = e1
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14852) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14852) gives:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14853) all_57_4 = e1 & op(e3, e1) = e1
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (14623), (14853), (function-axioms) are
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #116.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14854) all_57_5 = e1 & op(e2, e1) = e1
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14854) implies:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14855) all_57_5 = e1
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14856) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14856) gives:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14857) all_57_2 = e0 & op(e2, e3) = e0
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14857) implies:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14858) all_57_2 = e0
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14837) gives:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14859) all_57_9 = e0 & op(e3, e0) = e0
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14859) implies:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14860) op(e3, e0) = e0
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14639), (14860), (function-axioms) are
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #313.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14861) (all_57_10 = e0 & op(e2, e0) = e0) | (all_57_11 =
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14861) gives:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14862) all_57_10 = e0 & op(e2, e0) = e0
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14862) implies:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14863) op(e2, e0) = e0
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (14684), (14863), (function-axioms) are
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2470.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14864) all_57_11 = e0 & op(e1, e0) = e0
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14864) implies:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14865) all_57_11 = e0
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14866) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_7 = e2
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14866) gives:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14867) all_57_6 = e2 & op(e1, e3) = e2
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14867) implies:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14868) all_57_6 = e2
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14869) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 =
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14869) gives:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14870) all_57_9 = e2 & op(e3, e0) = e2
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14639), (14870), (function-axioms) are
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #306.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14871) all_57_10 = e2 & op(e2, e0) = e2
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14871) implies:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14872) all_57_10 = e2
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14873) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 =
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14873) gives:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14874) all_57_9 = e1 & op(e3, e0) = e1
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (14624), (14874), (function-axioms) are
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2131.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14875) all_57_10 = e1 & op(e2, e0) = e1
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14875) implies:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14876) all_57_10 = e1
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14872), (14876) imply:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14877) e2 = e1
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14877) implies:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14878) e2 = e1
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14868), (14878) imply:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14879) all_57_6 = e1
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (234), (14625), (14630), (14858),
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14879), (function-axioms) are inconsistent by
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #350.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14880) (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 =
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14880) gives:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14881) all_57_11 = e1 & op(e1, e0) = e1
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14865), (14881) are inconsistent by
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1750.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14882) all_57_15 = e1 & op(e0, e0) = e1
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14882) implies:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14883) op(e0, e0) = e1
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14688), (14883), (function-axioms) are
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2290.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14884) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 =
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14884) gives:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14885) all_57_11 = e2 & op(e1, e0) = e2
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14885) implies:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14886) all_57_11 = e2
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14865), (14886) are inconsistent by
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1949.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14887) all_57_15 = e2 & op(e0, e0) = e2
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14887) implies:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14888) op(e0, e0) = e2
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (373), (14888), (function-axioms) are
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2334.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14889) all_57_7 = e2 & op(e1, e2) = e2
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14889) implies:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14890) all_57_7 = e2
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14851), (14890) imply:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14891) e2 = e1
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14891) implies:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14892) e2 = e1
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14847), (14892) imply:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14893) all_57_13 = e1
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (36), (209), (373), (14630),
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14843), (14893), (function-axioms) are
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #179.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14894) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_11 =
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14894) gives:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14895) all_57_8 = e2 & op(e1, e1) = e2
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12096), (14895) are inconsistent by
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #165.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14896) all_57_11 = e2 & op(e1, e0) = e2
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14896) implies:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14897) all_57_11 = e2
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14865), (14897) are inconsistent by
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1949.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14898) all_57_3 = e0 & op(e2, e2) = e0
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14260), (14898) are inconsistent by
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #262.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14899) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (165), (14684), (14855), (14899),
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #239.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14900) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (12096), (14843), (14900) are
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #101.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (14901) all_57_13 = e1 & op(e0, e2) = e1
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14901) implies:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (14902) all_57_13 = e1
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (36), (209), (373), (14630),
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (14843), (14902), (function-axioms) are
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #179.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | (14903) (all_57_14 = e2 & op(e0, e1) = e2) | (all_57_15 =
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (373), (14843), (14903),
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | | #2127.
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | (14904) all_30_2 = e1
% 224.61/38.43 | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | COMBINE_EQS: (330), (14904) imply:
% 224.61/38.43 | | | | | | | | | | | | | | | | (14905) all_4_2 = e1
% 224.61/38.43 | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | SIMP: (14905) implies:
% 224.61/38.43 | | | | | | | | | | | | | | | | (14906) all_4_2 = e1
% 224.61/38.43 | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | REDUCE: (362), (14906) imply:
% 224.61/38.43 | | | | | | | | | | | | | | | | (14907) ~ (all_53_7 = e1)
% 224.61/38.43 | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | REDUCE: (14643), (14906) imply:
% 224.61/38.43 | | | | | | | | | | | | | | | | (14908) ~ (e3 = e1)
% 224.61/38.43 | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 224.61/38.43 | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.43 | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | (14909) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1
% 224.61/38.43 | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 224.61/38.43 | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (171), (14261), (14622), (14909),
% 224.61/38.43 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.43 | | | | | | | | | | | | | | | | | #185.
% 224.61/38.43 | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | (14910) (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_13 =
% 224.61/38.43 | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 224.61/38.43 | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | BETA: splitting (14910) gives:
% 224.61/38.43 | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.43 | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | (14911) all_57_7 = e1 & op(e1, e2) = e1
% 224.61/38.43 | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | ALPHA: (14911) implies:
% 224.61/38.43 | | | | | | | | | | | | | | | | | | (14912) op(e1, e2) = e1
% 224.61/38.43 | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12097), (14657), (14660), (14912),
% 224.61/38.43 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.43 | | | | | | | | | | | | | | | | | | #119.
% 224.61/38.43 | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | (14913) all_57_13 = e1 & op(e0, e2) = e1
% 224.61/38.43 | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (14907), (14913), (function-axioms) are
% 224.61/38.43 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #330.
% 224.61/38.43 | | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | Case 2:
% 224.61/38.43 | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | (14914) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 224.61/38.43 | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 224.61/38.43 | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.61/38.43 | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 224.61/38.43 | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 224.61/38.43 | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 224.61/38.43 | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 224.61/38.43 | | | | | | | | | | | | | | | $i(all_52_31)
% 224.61/38.43 | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | ALPHA: (14914) implies:
% 224.61/38.43 | | | | | | | | | | | | | | | (14915) op(e0, e3) = all_52_25
% 224.61/38.43 | | | | | | | | | | | | | | | (14916) op(all_52_25, all_52_25) = e3
% 224.61/38.43 | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 224.61/38.43 | | | | | | | | | | | | | | | all_52_25, e3, e0, simplifying with (14631),
% 224.61/38.43 | | | | | | | | | | | | | | | (14915) gives:
% 224.61/38.43 | | | | | | | | | | | | | | | (14917) all_52_25 = e3
% 224.61/38.43 | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | REDUCE: (14916), (14917) imply:
% 224.61/38.43 | | | | | | | | | | | | | | | (14918) op(e3, e3) = e3
% 224.61/38.43 | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | | REF_CLOSE: (8), (14625), (14918), (function-axioms) are
% 224.61/38.43 | | | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 224.61/38.43 | | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | | |
% 224.61/38.43 | | | | | | | | | End of split
% 224.61/38.43 | | | | | | | | |
% 224.61/38.43 | | | | | | | | End of split
% 224.61/38.43 | | | | | | | |
% 224.61/38.43 | | | | | | | End of split
% 224.61/38.43 | | | | | | |
% 224.61/38.43 | | | | | | Case 2:
% 224.61/38.43 | | | | | | |
% 224.61/38.43 | | | | | | | (14919) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 = e3 &
% 224.61/38.43 | | | | | | | op(e2, e0) = e3)
% 224.61/38.43 | | | | | | |
% 224.61/38.43 | | | | | | | REF_CLOSE: (165), (166), (12088), (14256), (14919),
% 224.61/38.43 | | | | | | | (function-axioms) are inconsistent by sub-proof #178.
% 224.61/38.43 | | | | | | |
% 224.61/38.43 | | | | | | End of split
% 224.61/38.43 | | | | | |
% 224.61/38.43 | | | | | End of split
% 224.61/38.43 | | | | |
% 224.61/38.43 | | | | Case 2:
% 224.61/38.43 | | | | |
% 224.61/38.43 | | | | | (14920) all_57_14 = e3 & op(e0, e1) = e3
% 224.61/38.43 | | | | |
% 224.61/38.43 | | | | | REF_CLOSE: (158), (12089), (14920), (function-axioms) are inconsistent
% 224.61/38.43 | | | | | by sub-proof #129.
% 224.61/38.43 | | | | |
% 224.61/38.43 | | | | End of split
% 224.61/38.43 | | | |
% 224.61/38.43 | | | End of split
% 224.61/38.43 | | |
% 224.61/38.43 | | End of split
% 224.61/38.43 | |
% 224.61/38.43 | Case 2:
% 224.61/38.43 | |
% 224.61/38.43 | | (14921) all_4_2 = e2
% 224.61/38.43 | | (14922) ( ~ (all_4_0 = e3) & op(all_4_1, e0) = all_4_0 & op(e0, e2) =
% 224.61/38.43 | | all_4_1 & $i(all_4_0) & $i(all_4_1)) | ( ~ (all_4_1 = e1) &
% 224.61/38.43 | | op(e0, e2) = all_4_1 & $i(all_4_1))
% 224.61/38.43 | |
% 224.61/38.43 | | COMBINE_EQS: (309), (14921) imply:
% 224.61/38.43 | | (14923) all_32_2 = e2
% 224.61/38.43 | |
% 224.61/38.43 | | REDUCE: (351), (14921) imply:
% 224.61/38.43 | | (14924) ~ (all_53_3 = e2)
% 224.61/38.43 | |
% 224.61/38.43 | | REDUCE: (362), (14921) imply:
% 224.61/38.43 | | (14925) ~ (all_53_7 = e2)
% 224.61/38.43 | |
% 224.61/38.43 | | REDUCE: (369), (14921) imply:
% 224.61/38.43 | | (14926) ~ (all_53_11 = e2)
% 224.61/38.43 | |
% 224.61/38.43 | | REDUCE: (370), (14921) imply:
% 224.61/38.43 | | (14927) ~ (all_53_12 = e2)
% 224.61/38.43 | |
% 224.61/38.43 | | REDUCE: (371), (14921) imply:
% 224.61/38.43 | | (14928) ~ (all_53_13 = e2)
% 224.61/38.43 | |
% 224.61/38.43 | | REDUCE: (372), (14921) imply:
% 224.61/38.43 | | (14929) ~ (all_53_14 = e2)
% 224.61/38.43 | |
% 224.61/38.43 | | BETA: splitting (212) gives:
% 224.61/38.43 | |
% 224.61/38.43 | | Case 1:
% 224.61/38.43 | | |
% 224.61/38.43 | | | (14930) (all_57_9 = e2 & op(e3, e0) = e2) | (all_57_10 = e2 & op(e2,
% 224.61/38.43 | | | e0) = e2)
% 224.61/38.43 | | |
% 224.61/38.43 | | | REF_CLOSE: (165), (169), (14927), (14928), (14930), (function-axioms) are
% 224.61/38.43 | | | inconsistent by sub-proof #1952.
% 224.61/38.43 | | |
% 224.61/38.43 | | Case 2:
% 224.61/38.43 | | |
% 224.61/38.43 | | | (14931) (all_57_11 = e2 & op(e1, e0) = e2) | (all_57_15 = e2 & op(e0,
% 224.61/38.43 | | | e0) = e2)
% 224.61/38.43 | | |
% 224.61/38.43 | | | BETA: splitting (14931) gives:
% 224.61/38.43 | | |
% 224.61/38.43 | | | Case 1:
% 224.61/38.43 | | | |
% 224.61/38.43 | | | | (14932) all_57_11 = e2 & op(e1, e0) = e2
% 224.61/38.43 | | | |
% 224.61/38.43 | | | | REF_CLOSE: (161), (14929), (14932), (function-axioms) are inconsistent
% 224.61/38.43 | | | | by sub-proof #91.
% 224.61/38.43 | | | |
% 224.61/38.43 | | | Case 2:
% 224.61/38.43 | | | |
% 224.61/38.44 | | | | (14933) all_57_15 = e2 & op(e0, e0) = e2
% 224.61/38.44 | | | |
% 224.61/38.44 | | | | ALPHA: (14933) implies:
% 224.61/38.44 | | | | (14934) all_57_15 = e2
% 224.61/38.44 | | | | (14935) op(e0, e0) = e2
% 224.61/38.44 | | | |
% 224.61/38.44 | | | | BETA: splitting (40) gives:
% 224.61/38.44 | | | |
% 224.61/38.44 | | | | Case 1:
% 224.61/38.44 | | | | |
% 224.61/38.44 | | | | | (14936) ~ (all_6_2 = e3)
% 224.61/38.44 | | | | |
% 224.61/38.44 | | | | | BETA: splitting (43) gives:
% 224.61/38.44 | | | | |
% 224.61/38.44 | | | | | Case 1:
% 224.61/38.44 | | | | | |
% 224.61/38.44 | | | | | | (14937) ~ (all_8_2 = e3)
% 224.61/38.44 | | | | | |
% 224.61/38.44 | | | | | | BETA: splitting (46) gives:
% 224.61/38.44 | | | | | |
% 224.61/38.44 | | | | | | Case 1:
% 224.61/38.44 | | | | | | |
% 224.61/38.44 | | | | | | | (14938) ~ (all_10_2 = e1)
% 224.61/38.44 | | | | | | |
% 224.61/38.44 | | | | | | | BETA: splitting (52) gives:
% 224.61/38.44 | | | | | | |
% 224.61/38.44 | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | |
% 224.61/38.44 | | | | | | | | (14939) ~ (all_14_2 = e0)
% 224.61/38.44 | | | | | | | |
% 224.61/38.44 | | | | | | | | REDUCE: (328), (14939) imply:
% 224.61/38.44 | | | | | | | | (14940) ~ (all_8_2 = e0)
% 224.61/38.44 | | | | | | | |
% 224.61/38.44 | | | | | | | | BETA: splitting (55) gives:
% 224.61/38.44 | | | | | | | |
% 224.61/38.44 | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | |
% 224.61/38.44 | | | | | | | | | (14941) ~ (all_16_2 = e1)
% 224.61/38.44 | | | | | | | | |
% 224.61/38.44 | | | | | | | | | REDUCE: (324), (14941) imply:
% 224.61/38.44 | | | | | | | | | (14942) ~ (all_8_2 = e1)
% 224.61/38.44 | | | | | | | | |
% 224.61/38.44 | | | | | | | | | BETA: splitting (200) gives:
% 224.61/38.44 | | | | | | | | |
% 224.61/38.44 | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | (14943) all_55_5 = e3
% 224.61/38.44 | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | COMBINE_EQS: (266), (14943) imply:
% 224.61/38.44 | | | | | | | | | | (14944) all_8_2 = e3
% 224.61/38.44 | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | REDUCE: (14937), (14944) imply:
% 224.61/38.44 | | | | | | | | | | (14945) $false
% 224.61/38.44 | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | CLOSE: (14945) is inconsistent.
% 224.61/38.44 | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | Case 2:
% 224.61/38.44 | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | (14946) ~ (all_55_5 = e3)
% 224.61/38.44 | | | | | | | | | | (14947) all_55_5 = e2 | all_55_5 = e1 | all_55_5 = e0
% 224.61/38.44 | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | BETA: splitting (14947) gives:
% 224.61/38.44 | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | (14948) all_55_5 = e2
% 224.61/38.44 | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | COMBINE_EQS: (266), (14948) imply:
% 224.61/38.44 | | | | | | | | | | | (14949) all_8_2 = e2
% 224.61/38.44 | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | REDUCE: (349), (14949) imply:
% 224.61/38.44 | | | | | | | | | | | (14950) ~ (all_53_1 = e2)
% 224.61/38.44 | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | REDUCE: (352), (14949) imply:
% 224.61/38.44 | | | | | | | | | | | (14951) ~ (all_53_4 = e2)
% 224.61/38.44 | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | REDUCE: (358), (14949) imply:
% 224.61/38.44 | | | | | | | | | | | (14952) ~ (all_53_9 = e2)
% 224.61/38.44 | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | REDUCE: (14937), (14949) imply:
% 224.61/38.44 | | | | | | | | | | | (14953) ~ (e3 = e2)
% 224.61/38.44 | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | BETA: splitting (224) gives:
% 224.61/38.44 | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | (14954) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 224.61/38.44 | | | | | | | | | | | | & op(e2, e2) = e2)
% 224.61/38.44 | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | BETA: splitting (14954) gives:
% 224.61/38.44 | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | (14955) all_57_2 = e2 & op(e2, e3) = e2
% 224.61/38.44 | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | REF_CLOSE: (168), (14950), (14955), (function-axioms) are
% 224.61/38.44 | | | | | | | | | | | | | inconsistent by sub-proof #2504.
% 224.61/38.44 | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | Case 2:
% 224.61/38.44 | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | (14956) all_57_3 = e2 & op(e2, e2) = e2
% 224.61/38.44 | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | ALPHA: (14956) implies:
% 224.61/38.44 | | | | | | | | | | | | | (14957) all_57_3 = e2
% 224.61/38.44 | | | | | | | | | | | | | (14958) op(e2, e2) = e2
% 224.61/38.44 | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | BETA: splitting (58) gives:
% 224.61/38.44 | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | (14959) ~ (all_18_2 = e0)
% 224.61/38.44 | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | REDUCE: (327), (14959) imply:
% 224.61/38.44 | | | | | | | | | | | | | | (14960) ~ (all_10_2 = e0)
% 224.61/38.44 | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 224.61/38.44 | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | (14961) ~ (all_20_2 = e2)
% 224.61/38.44 | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | REDUCE: (299), (14961) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | (14962) ~ (all_10_2 = e2)
% 224.61/38.44 | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 224.61/38.44 | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | (14963) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_2 = e2
% 224.61/38.44 | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 224.61/38.44 | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | BETA: splitting (14963) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | (14964) all_57_0 = e2 & op(e3, e3) = e2
% 224.61/38.44 | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | ALPHA: (14964) implies:
% 224.61/38.44 | | | | | | | | | | | | | | | | | (14965) op(e3, e3) = e2
% 224.61/38.44 | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | (14966) all_55_0 = e3
% 224.61/38.44 | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (277), (14966) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | (14967) all_10_2 = e3
% 224.61/38.44 | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | REDUCE: (45), (14967) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | (14968) op(e3, e3) = e3
% 224.61/38.44 | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14965), (14968), (function-axioms) are
% 224.61/38.44 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2490.
% 224.61/38.44 | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.44 | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | (14969) all_55_0 = e2 | all_55_0 = e1 | all_55_0 = e0
% 224.61/38.44 | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | REF_CLOSE: (277), (14938), (14960), (14962), (14969) are
% 224.61/38.44 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1953.
% 224.61/38.44 | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | End of split
% 224.61/38.44 | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.44 | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | (14970) all_57_2 = e2 & op(e2, e3) = e2
% 224.61/38.44 | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (14950), (14970), (function-axioms) are
% 224.61/38.44 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2504.
% 224.61/38.44 | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | End of split
% 224.61/38.44 | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | Case 2:
% 224.61/38.44 | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | (14971) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_12 =
% 224.61/38.44 | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 224.61/38.44 | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | BETA: splitting (14971) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | (14972) all_57_6 = e2 & op(e1, e3) = e2
% 224.61/38.44 | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | ALPHA: (14972) implies:
% 224.61/38.44 | | | | | | | | | | | | | | | | | (14973) all_57_6 = e2
% 224.61/38.44 | | | | | | | | | | | | | | | | | (14974) op(e1, e3) = e2
% 224.61/38.44 | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | (14975) all_55_0 = e3
% 224.61/38.44 | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (277), (14975) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | (14976) all_10_2 = e3
% 224.61/38.44 | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | REDUCE: (344), (14976) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | (14977) ~ (all_53_4 = e3)
% 224.61/38.44 | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | REDUCE: (346), (14976) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | (14978) ~ (all_53_8 = e3)
% 224.61/38.44 | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | REDUCE: (348), (14976) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | (14979) ~ (all_53_12 = e3)
% 224.61/38.44 | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | REDUCE: (45), (14976) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | (14980) op(e3, e3) = e3
% 224.61/38.44 | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | (14981) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (171), (14951), (14980), (14981),
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | #2455.
% 224.61/38.44 | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | (14982) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | BETA: splitting (14982) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | (14983) all_57_4 = e2 & op(e3, e1) = e2
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | ALPHA: (14983) implies:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | (14984) all_57_4 = e2
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | (14985) op(e3, e1) = e2
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | (14986) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_1 = e3
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14986) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | (14987) all_57_0 = e3 & op(e3, e3) = e3
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14987) implies:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | (14988) all_57_0 = e3
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_2, e2,
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (164), (14974) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | (14989) all_53_2 = e2
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_8, e2,
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (170), (14985) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | (14990) all_53_8 = e2
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (14989) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | (14991) ~ (all_53_6 = e2)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | SIMP: (14991) implies:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | (14992) ~ (all_53_6 = e2)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (142), (14989) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | (14993) ~ (all_53_14 = e2)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (14990) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | (14994) ~ (all_53_12 = e2)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (14990) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | (14995) ~ (all_6_2 = e2)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | SIMP: (14995) implies:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | (14996) ~ (all_6_2 = e2)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | (14997) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14997) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | (14998) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14958), (14985), (14998), (function-axioms)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #90.
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | (14999) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14999) implies:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | (15000) op(e2, e0) = all_52_15
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | (15001) op(e2, e2) = all_52_11
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | (15002) op(all_52_15, all_52_15) = e0
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_13,
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | all_52_15, e0, e2, simplifying with (165), (15000)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | (15003) all_53_13 = all_52_15
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | all_52_11, e2, e2, simplifying with (14958),
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | (15001) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | (15004) all_52_11 = e2
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (15003) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | (15005) all_55_7 = all_52_15
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (15003) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | (15006) ~ (all_53_12 = all_52_15)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (15003) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | (15007) ~ (all_53_14 = all_52_15)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15007) implies:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | (15008) ~ (all_53_14 = all_52_15)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14928), (15003) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | (15009) ~ (all_52_15 = e2)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | (15010) ~ (all_24_2 = e0)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (315), (15010) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | (15011) ~ (all_6_2 = e0)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (15012) all_55_10 = e3
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (14936), (15012) are inconsistent by
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2500.
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (15013) ~ (all_55_10 = e3)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (15014) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15014) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15015) all_55_10 = e2
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (14996), (15015) are inconsistent by
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2499.
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15016) ~ (all_55_10 = e2)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15017) all_55_10 = e1 | all_55_10 = e0
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15017) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15018) all_55_10 = e1
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (15018) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15019) all_6_2 = e1
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15019) implies:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15020) all_6_2 = e1
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (15020) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15021) ~ (all_53_6 = e1)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (15020) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15022) ~ (all_53_14 = e1)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14936), (15020) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15023) ~ (e3 = e1)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14996), (15020) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15024) ~ (e2 = e1)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (15020) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15025) op(e1, e1) = e1
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15026) all_55_3 = e3
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (14979), (15026) are inconsistent by
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2169.
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15027) ~ (all_55_3 = e3)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15028) all_55_3 = e2 | all_55_3 = e1 | all_55_3 = e0
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15029) all_55_1 = e3
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (14977), (15029) are inconsistent by
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2295.
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15030) all_55_1 = e2 | all_55_1 = e1 | all_55_1 = e0
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15031) all_55_11 = e3
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (15031) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15032) all_53_14 = e3
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15032) implies:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15033) all_53_14 = e3
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (15033) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15034) ~ (all_53_6 = e3)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15008), (15033) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15035) ~ (all_52_15 = e3)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15035) implies:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15036) ~ (all_52_15 = e3)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15037) all_55_9 = e3
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (15037) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15038) all_53_6 = e3
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15034), (15038) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15039) $false
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15039) is inconsistent.
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15040) all_55_9 = e2 | all_55_9 = e1 | all_55_9 = e0
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15040) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15041) all_55_9 = e2
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (15041) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15042) all_53_6 = e2
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14992), (15042) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15043) $false
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15043) is inconsistent.
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15044) all_55_9 = e1 | all_55_9 = e0
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15044) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15045) all_55_9 = e1
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (15045) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15046) all_53_6 = e1
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15021), (15046) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15047) $false
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15047) is inconsistent.
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15048) all_55_9 = e0
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (15048) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15049) all_53_6 = e0
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (15049) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15050) ~ (all_53_4 = e0)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15030) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15051) all_55_1 = e2
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (14951), (15051) are inconsistent by
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2284.
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15052) all_55_1 = e1 | all_55_1 = e0
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15052) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15053) all_55_1 = e1
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (15053) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15054) all_53_4 = e1
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15054) implies:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15055) all_53_4 = e1
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (15055) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15056) ~ (all_53_12 = e1)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15056) implies:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15057) ~ (all_53_12 = e1)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15028) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15058) all_55_3 = e2
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (14927), (15058) are inconsistent by
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1612.
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15059) all_55_3 = e1 | all_55_3 = e0
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15059) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15060) all_55_3 = e1
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (15057), (15060) are inconsistent by
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #324.
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15061) all_55_3 = e0
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (15061) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15062) all_53_12 = e0
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15062) implies:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15063) all_53_12 = e0
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15006), (15063) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15064) ~ (all_52_15 = e0)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15064) implies:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15065) ~ (all_52_15 = e0)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15066) all_55_7 = e3
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15005), (15036), (15066) are inconsistent by
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2063.
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15067) all_55_7 = e2 | all_55_7 = e1 | all_55_7 = e0
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15002), (15005), (15009), (15025), (15065),
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15067), (function-axioms) are inconsistent by
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #89.
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15068) all_55_1 = e0
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (15050), (15068) are inconsistent by
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2076.
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15069) ~ (all_55_11 = e3)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15070) all_55_11 = e2 | all_55_11 = e1 | all_55_11 = e0
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (248), (15069) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15071) ~ (all_53_14 = e3)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15072) (all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 =
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15072) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15073) all_57_9 = e3 & op(e3, e0) = e3
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15073) implies:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15074) op(e3, e0) = e3
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (14979), (15074), (function-axioms) are
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2458.
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15075) all_57_10 = e3 & op(e2, e0) = e3
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15075) implies:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15076) all_57_10 = e3
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15070) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15077) all_55_11 = e2
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (14929), (15077) are inconsistent by
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2282.
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15078) ~ (all_55_11 = e2)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15079) all_55_11 = e1 | all_55_11 = e0
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15080) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 =
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15080) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15081) all_57_9 = e1 & op(e3, e0) = e1
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15081) implies:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15082) all_57_9 = e1
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15079) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15083) all_55_11 = e1
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (15083) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15084) all_53_14 = e1
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15022), (15084) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15085) $false
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15085) is inconsistent.
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15086) all_55_11 = e0
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (15086) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15087) all_53_14 = e0
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (15087) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15088) ~ (all_53_12 = e0)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15008), (15087) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15089) ~ (all_52_15 = e0)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15089) implies:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15090) ~ (all_52_15 = e0)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15071), (15087) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15091) ~ (e3 = e0)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14929), (15087) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15092) ~ (e2 = e0)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15093) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15093) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15094) all_57_0 = e0 & op(e3, e3) = e0
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15094) implies:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15095) op(e3, e3) = e0
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14980), (15095), (function-axioms) are
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2494.
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15096) all_57_1 = e0 & op(e3, e2) = e0
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15096) implies:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15097) all_57_1 = e0
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15028) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15098) all_55_3 = e2
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (14927), (15098) are inconsistent by
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1612.
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15099) ~ (all_55_3 = e2)
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15100) all_55_3 = e1 | all_55_3 = e0
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15100) gives:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15101) all_55_3 = e1
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (15101) imply:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15102) all_53_12 = e1
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15102) implies:
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15103) all_53_12 = e1
% 224.61/38.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15006), (15103) imply:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15104) ~ (all_52_15 = e1)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15104) implies:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15105) ~ (all_52_15 = e1)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15106) all_55_7 = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15005), (15106) imply:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15107) all_52_15 = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15002), (15107) imply:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15108) op(e3, e3) = e0
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (169), (235), (237), (14979),
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15082), (15097), (15108), (function-axioms) are
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2400.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15109) all_55_7 = e2 | all_55_7 = e1 | all_55_7 = e0
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15005), (15009), (15090), (15105), (15109) are
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15110) all_55_3 = e0
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (15088), (15110) are inconsistent by
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #885.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15111) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15111) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15112) all_57_4 = e0 & op(e3, e1) = e0
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14984), (15112) are inconsistent by
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2045.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15113) all_57_9 = e0 & op(e3, e0) = e0
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (15088), (15113), (function-axioms) are
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2434.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15114) all_57_10 = e1 & op(e2, e0) = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15114) implies:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15115) all_57_10 = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15076), (15115) are inconsistent by
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2248.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15116) (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 =
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (161), (14935), (15022), (15116),
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #88.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15117) (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 =
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (161), (14934), (15071), (15117),
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #87.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15118) all_55_10 = e0
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (15011), (15118) are inconsistent by
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2118.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | (15119) all_24_2 = e0
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (315), (15119) imply:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | (15120) all_6_2 = e0
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (15120) imply:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | (15121) ~ (all_53_6 = e0)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (15120) imply:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | (15122) ~ (all_53_14 = e0)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14936), (15120) imply:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | (15123) ~ (e3 = e0)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14996), (15120) imply:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | (15124) ~ (e2 = e0)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (15120) imply:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | (15125) op(e1, e1) = e0
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (15126) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15126) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15127) all_57_4 = e0 & op(e3, e1) = e0
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15127) implies:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15128) all_57_4 = e0
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14984), (15128) are inconsistent by
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2441.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15129) all_57_5 = e0 & op(e2, e1) = e0
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15129) implies:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15130) all_57_5 = e0
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15131) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15131) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15132) all_57_4 = e3 & op(e3, e1) = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15132) implies:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15133) all_57_4 = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (235),
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14980), (15133), (function-axioms) are
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2474.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15134) all_57_5 = e3 & op(e2, e1) = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15134) implies:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15135) all_57_5 = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15130), (15135) are inconsistent by
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2471.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15136) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15136) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15137) all_57_8 = e3 & op(e1, e1) = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15137) implies:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15138) op(e1, e1) = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (14936), (15138), (function-axioms) are
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15139) all_57_14 = e3 & op(e0, e1) = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15139) implies:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15140) all_57_14 = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15141) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15141) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15142) all_57_4 = e1 & op(e3, e1) = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15142) implies:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15143) all_57_4 = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14984), (15143) are inconsistent by
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2430.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15144) all_57_5 = e1 & op(e2, e1) = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15144) implies:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15145) all_57_5 = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15130), (15145) are inconsistent by
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2350.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15146) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15146) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15147) all_57_8 = e1 & op(e1, e1) = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15147) implies:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15148) op(e1, e1) = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15125), (15148), (function-axioms) are
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2427.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15149) all_57_14 = e1 & op(e0, e1) = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15149) implies:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15150) all_57_14 = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15140), (15150) are inconsistent by
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2326.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (15151) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15151) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15152) all_57_8 = e0 & op(e1, e1) = e0
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15152) implies:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15153) all_57_8 = e0
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15154) all_55_11 = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (15154) imply:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15155) all_53_14 = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15155) implies:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15156) all_53_14 = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (15156) imply:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15157) ~ (all_53_6 = e3)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15158) all_55_9 = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (15157), (15158) are inconsistent by
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2159.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15159) ~ (all_55_9 = e3)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15160) all_55_9 = e2 | all_55_9 = e1 | all_55_9 = e0
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15160) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15161) all_55_9 = e2
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (14992), (15161) are inconsistent by
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2274.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15162) ~ (all_55_9 = e2)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15163) all_55_9 = e1 | all_55_9 = e0
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15164) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15164) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15165) all_57_6 = e1 & op(e1, e3) = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14973), (15165) are inconsistent by
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2389.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15166) all_57_7 = e1 & op(e1, e2) = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15166) implies:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15167) all_57_7 = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15163) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15168) all_55_9 = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (15168) imply:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15169) all_53_6 = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (15169) imply:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15170) ~ (all_53_4 = e1)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15157), (15169) imply:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15171) ~ (e3 = e1)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14992), (15169) imply:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15172) ~ (e2 = e1)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15173) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15173) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15174) all_57_0 = e1 & op(e3, e3) = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15174) implies:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15175) op(e3, e3) = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14980), (15175), (function-axioms) are
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15176) all_57_1 = e1 & op(e3, e2) = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15176) implies:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15177) op(e3, e2) = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (171), (15170), (15177), (function-axioms) are
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #363.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15178) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15178) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15179) all_57_4 = e1 & op(e3, e1) = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15179) implies:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15180) all_57_4 = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14984), (15180) imply:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15181) e2 = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15181) implies:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15182) e2 = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14973), (15182) imply:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15183) all_57_6 = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (39), (216), (217), (14936),
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15153), (15167), (15183), (function-axioms) are
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #325.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15184) all_57_9 = e1 & op(e3, e0) = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15184) implies:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15185) all_57_9 = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (161), (207), (14934), (14935), (15000),
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15002), (15009), (15122), (15185),
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #83.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15186) all_55_9 = e0
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (15186) imply:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15187) all_53_6 = e0
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15121), (15187) imply:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15188) $false
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15188) is inconsistent.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15189) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15189) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15190) all_57_8 = e1 & op(e1, e1) = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15190) implies:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15191) op(e1, e1) = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15125), (15191), (function-axioms) are
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2427.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15192) all_57_11 = e1 & op(e1, e0) = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15192) implies:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15193) all_57_11 = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15194) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (230), (232),
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (14988), (15157), (15194),
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #82.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15195) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (39), (14936), (15193), (15195),
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1819.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15196) ~ (all_55_11 = e3)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15197) all_55_11 = e2 | all_55_11 = e1 | all_55_11 = e0
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (248), (15196) imply:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15198) ~ (all_53_14 = e3)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15199) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15199) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15200) all_57_6 = e3 & op(e1, e3) = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15200) implies:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15201) all_57_6 = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (232), (234),
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14988), (15201) are inconsistent by sub-proof
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2010.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15202) all_57_7 = e3 & op(e1, e2) = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15202) implies:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15203) all_57_7 = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15204) (all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 =
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15204) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15205) all_57_9 = e3 & op(e3, e0) = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15205) implies:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15206) op(e3, e0) = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (14979), (15206), (function-axioms) are
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2458.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15207) all_57_10 = e3 & op(e2, e0) = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15207) implies:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15208) op(e2, e0) = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15197) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15209) all_55_11 = e2
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (15209) imply:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15210) all_53_14 = e2
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14929), (15210) imply:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15211) $false
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15211) is inconsistent.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15212) all_55_11 = e1 | all_55_11 = e0
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15212) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15213) all_55_11 = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (15213) imply:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15214) all_53_14 = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (15214) imply:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15215) ~ (all_53_12 = e1)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (202), (268), (14927), (14979), (14980), (15000),
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15002), (15208), (15215), (function-axioms) are
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1999.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15216) all_55_11 = e0
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (15216) imply:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15217) all_53_14 = e0
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15122), (15217) imply:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15218) $false
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15218) is inconsistent.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15219) (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 =
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15219) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15220) all_57_11 = e3 & op(e1, e0) = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15220) implies:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15221) op(e1, e0) = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (15198), (15221), (function-axioms) are
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2330.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15222) all_57_15 = e3 & op(e0, e0) = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15222) implies:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15223) all_57_15 = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15224) op(e0, e0) = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14934), (15223) imply:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15225) e3 = e2
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15203), (15225) imply:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15226) all_57_7 = e2
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (208),
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (211), (212), (217), (226), (227), (228),
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (14936), (14958), (15223), (15224),
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15226), (function-axioms) are inconsistent by
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #275.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15227) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (161), (14936), (15198), (15227),
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2310.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15228) all_57_14 = e0 & op(e0, e1) = e0
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15228) implies:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15229) all_57_14 = e0
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15230) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15230) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15231) all_57_4 = e3 & op(e3, e1) = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15231) implies:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15232) all_57_4 = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (235),
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14980), (15232), (function-axioms) are
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2474.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15233) all_57_5 = e3 & op(e2, e1) = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15233) implies:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15234) all_57_5 = e3
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15235) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15235) gives:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15236) all_57_4 = e1 & op(e3, e1) = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15236) implies:
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15237) all_57_4 = e1
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14984), (15237) are inconsistent by
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2430.
% 224.61/38.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15238) all_57_5 = e1 & op(e2, e1) = e1
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15234), (15238) are inconsistent by
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2376.
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15239) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15125), (15229), (15239), (function-axioms)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #81.
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15240) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (39), (14936), (15229), (15240),
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2419.
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | (15241) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15241) gives:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | (15242) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14958), (14974), (15242), (function-axioms)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #80.
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | (15243) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14935), (14958), (15243), (function-axioms)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #79.
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | (15244) all_57_1 = e3 & op(e3, e2) = e3
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (171), (14977), (15244), (function-axioms) are
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2286.
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | (15245) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_9 = e3
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (231), (233),
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | (235), (14979), (14980), (15245),
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | #1955.
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | (15246) all_57_9 = e2 & op(e3, e0) = e2
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | ALPHA: (15246) implies:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | (15247) op(e3, e0) = e2
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (14927), (15247), (function-axioms) are
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2331.
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.46 | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.46 | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.46 | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | (15248) all_55_0 = e2 | all_55_0 = e1 | all_55_0 = e0
% 224.61/38.46 | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | REF_CLOSE: (277), (14938), (14960), (14962), (15248) are
% 224.61/38.46 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1953.
% 224.61/38.46 | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | End of split
% 224.61/38.46 | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.46 | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | (15249) all_57_12 = e2 & op(e0, e3) = e2
% 224.61/38.46 | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | ALPHA: (15249) implies:
% 224.61/38.46 | | | | | | | | | | | | | | | | | (15250) op(e0, e3) = e2
% 224.61/38.46 | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (14924), (15250), (function-axioms) are
% 224.61/38.46 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1980.
% 224.61/38.46 | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | End of split
% 224.61/38.46 | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | End of split
% 224.61/38.46 | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | Case 2:
% 224.61/38.46 | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | (15251) all_20_2 = e2
% 224.61/38.46 | | | | | | | | | | | | | | | (15252) ( ~ (all_20_0 = e1) & op(all_20_1, e3) = all_20_0
% 224.61/38.46 | | | | | | | | | | | | | | | & op(e3, e2) = all_20_1 & $i(all_20_0) &
% 224.61/38.46 | | | | | | | | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e0) & op(e3, e2)
% 224.61/38.46 | | | | | | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 224.61/38.46 | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | COMBINE_EQS: (299), (15251) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | (15253) all_10_2 = e2
% 224.61/38.46 | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | COMBINE_EQS: (329), (15253) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | (15254) all_28_2 = e2
% 224.61/38.46 | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | REDUCE: (45), (15253) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | (15255) op(e3, e3) = e2
% 224.61/38.46 | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 224.61/38.46 | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | Case 1:
% 224.61/38.46 | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | (15256) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_5 = e2
% 224.61/38.46 | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 224.61/38.46 | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | BETA: splitting (15256) gives:
% 224.61/38.46 | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.46 | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | (15257) all_57_4 = e2 & op(e3, e1) = e2
% 224.61/38.46 | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (237),
% 224.61/38.46 | | | | | | | | | | | | | | | | | (15255), (15257), (function-axioms) are
% 224.61/38.46 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #226.
% 224.61/38.46 | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.46 | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | (15258) all_57_5 = e2 & op(e2, e1) = e2
% 224.61/38.46 | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (14952), (15258), (function-axioms) are
% 224.61/38.46 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1858.
% 224.61/38.46 | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | End of split
% 224.61/38.46 | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | Case 2:
% 224.61/38.46 | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | (15259) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_14 =
% 224.61/38.46 | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 224.61/38.46 | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | BETA: splitting (15259) gives:
% 224.61/38.46 | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.46 | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | (15260) all_57_8 = e2 & op(e1, e1) = e2
% 224.61/38.46 | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | ALPHA: (15260) implies:
% 224.61/38.46 | | | | | | | | | | | | | | | | | (15261) all_57_8 = e2
% 224.61/38.46 | | | | | | | | | | | | | | | | | (15262) op(e1, e1) = e2
% 224.61/38.46 | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2, e2,
% 224.61/38.46 | | | | | | | | | | | | | | | | | e1, e1, simplifying with (39), (15262) gives:
% 224.61/38.46 | | | | | | | | | | | | | | | | | (15263) all_6_2 = e2
% 224.61/38.46 | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (15263) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | | | (15264) all_38_2 = e2
% 224.61/38.46 | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | COMBINE_EQS: (332), (15263) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | | | (15265) all_42_2 = e2
% 224.61/38.46 | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | REDUCE: (350), (15263) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | | | (15266) ~ (all_53_2 = e2)
% 224.61/38.46 | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | REDUCE: (361), (15263) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | | | (15267) ~ (all_53_6 = e2)
% 224.61/38.46 | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | REDUCE: (363), (15263) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | | | (15268) ~ (all_53_8 = e2)
% 224.61/38.46 | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 224.61/38.46 | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.46 | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | (15269) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.61/38.46 | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 224.61/38.46 | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 224.61/38.46 | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 224.61/38.46 | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 224.61/38.46 | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 224.61/38.46 | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 224.61/38.46 | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | BETA: splitting (15269) gives:
% 224.61/38.46 | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15270) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | ALPHA: (15270) implies:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15271) op(e3, e3) = all_52_1
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15272) op(all_52_1, all_52_1) = e3
% 224.61/38.46 | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14958), (15255), (15271), (15272),
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | #1951.
% 224.61/38.46 | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15273) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | ALPHA: (15273) implies:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15274) op(e2, e0) = all_52_15
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15275) op(e2, e1) = all_52_13
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15276) op(e2, e2) = all_52_11
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15277) op(e2, e3) = all_52_9
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15278) op(all_52_15, all_52_15) = e0
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15279) op(all_52_13, all_52_13) = e1
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15280) op(all_52_9, all_52_9) = e3
% 224.61/38.46 | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_13,
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | all_52_15, e0, e2, simplifying with (165), (15274)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | gives:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15281) all_53_13 = all_52_15
% 224.61/38.46 | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_9,
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | all_52_13, e1, e2, simplifying with (166), (15275)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | gives:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15282) all_53_9 = all_52_13
% 224.61/38.46 | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | all_52_11, e2, e2, simplifying with (14958),
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15276) gives:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15283) all_52_11 = e2
% 224.61/38.46 | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_1,
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | all_52_9, e3, e2, simplifying with (168), (15277)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | gives:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15284) all_53_1 = all_52_9
% 224.61/38.46 | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (15281) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15285) all_55_7 = all_52_15
% 224.61/38.46 | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (15282) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15286) all_55_6 = all_52_13
% 224.61/38.46 | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (15284) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15287) all_55_4 = all_52_9
% 224.61/38.46 | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | REDUCE: (150), (15284) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15288) ~ (all_53_2 = all_52_9)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | SIMP: (15288) implies:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15289) ~ (all_53_2 = all_52_9)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | REDUCE: (149), (15284) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15290) ~ (all_53_3 = all_52_9)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | SIMP: (15290) implies:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15291) ~ (all_53_3 = all_52_9)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | REDUCE: (147), (15282), (15284) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15292) ~ (all_52_9 = all_52_13)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | REDUCE: (14950), (15284) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15293) ~ (all_52_9 = e2)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | REDUCE: (124), (15282) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15294) ~ (all_53_8 = all_52_13)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | REDUCE: (119), (15282) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15295) ~ (all_53_11 = all_52_13)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | SIMP: (15295) implies:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15296) ~ (all_53_11 = all_52_13)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | REDUCE: (14952), (15282) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15297) ~ (all_52_13 = e2)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | REDUCE: (114), (15281) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15298) ~ (all_53_12 = all_52_15)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | REDUCE: (111), (15281) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15299) ~ (all_53_14 = all_52_15)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | SIMP: (15299) implies:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15300) ~ (all_53_14 = all_52_15)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | REDUCE: (14928), (15281) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | (15301) ~ (all_52_15 = e2)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | (15302) ~ (all_28_2 = e2)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | REDUCE: (15254), (15302) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | (15303) $false
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | CLOSE: (15303) is inconsistent.
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | (15304) ( ~ (all_28_0 = e0) & op(all_28_1, e3) = all_28_0
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_28_1 & $i(all_28_0) &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | $i(all_28_1)) | ( ~ (all_28_1 = e1) & op(e3, e2)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | = all_28_1 & $i(all_28_1))
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | (15305) ~ (all_32_2 = e2)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14923), (15305) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | (15306) $false
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | CLOSE: (15306) is inconsistent.
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | (15307) ( ~ (all_32_0 = e1) & op(all_32_1, e0) = all_32_0
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_32_1 & $i(all_32_0) &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)) | ( ~ (all_32_1 = e3) & op(e0, e2)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | (15308) ~ (all_38_2 = e2)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15264), (15308) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | (15309) $false
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15309) is inconsistent.
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | (15310) ( ~ (all_38_0 = e0) & op(all_38_1, e1) = all_38_0
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_38_1 & $i(all_38_0) &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)) | ( ~ (all_38_1 = e3) & op(e1, e2)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | = all_38_1 & $i(all_38_1))
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | (15311) ~ (all_42_2 = e2)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15265), (15311) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | (15312) $false
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15312) is inconsistent.
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | (15313) ( ~ (all_42_0 = e3) & op(all_42_1, e1) = all_42_0
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_42_1 & $i(all_42_0) &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)) | ( ~ (all_42_1 = e0) & op(e1, e2)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | (15314) all_55_14 = e3
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (15314) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | (15315) all_53_11 = e3
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (15315) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | (15316) ~ (all_53_3 = e3)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (15315) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | (15317) ~ (all_53_7 = e3)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15296), (15315) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | (15318) ~ (all_52_13 = e3)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15318) implies:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | (15319) ~ (all_52_13 = e3)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | (15320) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 =
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (160), (15316), (15317), (15320),
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | #77.
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | (15321) (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 =
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15321) gives:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (15322) all_57_14 = e3 & op(e0, e1) = e3
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15322) implies:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (15323) all_57_14 = e3
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15324) all_55_6 = e3
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15286), (15319), (15324) are inconsistent by
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #318.
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15325) all_55_6 = e2 | all_55_6 = e1 | all_55_6 = e0
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15326) (all_57_12 = e1 & op(e0, e3) = e1) | (all_57_13 =
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15326) gives:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15327) all_57_12 = e1 & op(e0, e3) = e1
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15327) implies:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15328) all_57_12 = e1
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15329) op(e0, e3) = e1
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15330) all_57_15 = e0 & op(e0, e0) = e0
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15330) implies:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15331) op(e0, e0) = e0
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14935), (15331), (function-axioms) are
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #86.
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15332) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15332) implies:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15333) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15333) gives:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15334) all_57_12 = e0 & op(e0, e3) = e0
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15328), (15334) are inconsistent by
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1279.
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15335) (all_57_13 = e0 & op(e0, e2) = e0) | (all_57_14 =
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15335) gives:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_3, e1,
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (160), (15329) gives:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15336) all_53_3 = e1
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15291), (15336) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15337) ~ (all_52_9 = e1)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (201), (15255), (15262), (15279), (15280),
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15286), (15287), (15292), (15293), (15297),
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15325), (15337), (function-axioms) are
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #75.
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15338) all_57_14 = e0 & op(e0, e1) = e0
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15338) implies:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15339) all_57_14 = e0
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15323), (15339) are inconsistent by
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2420.
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15340) all_57_13 = e1 & op(e0, e2) = e1
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15340) implies:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15341) all_57_13 = e1
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15342) op(e0, e2) = e1
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15343) all_57_15 = e0 & op(e0, e0) = e0
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15343) implies:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15344) op(e0, e0) = e0
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14935), (15344), (function-axioms) are
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #86.
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15345) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15345) implies:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15346) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15346) gives:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15347) all_57_12 = e0 & op(e0, e3) = e0
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15347) implies:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15348) op(e0, e3) = e0
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_7, e1,
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (159), (15342) gives:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15349) all_53_7 = e1
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_3, e0,
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (160), (15348) gives:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15350) all_53_3 = e0
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (15350) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15351) ~ (all_53_2 = e0)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (15349) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15352) ~ (all_53_4 = e1)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (15349) imply:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15353) ~ (all_53_6 = e1)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14922) gives:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15354) ~ (all_4_0 = e3) & op(all_4_1, e0) = all_4_0 &
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_4_1 & $i(all_4_0) & $i(all_4_1)
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15354) implies:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15355) ~ (all_4_0 = e3)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15356) op(e0, e2) = all_4_1
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15357) op(all_4_1, e0) = all_4_0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15307) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15358) ~ (all_32_0 = e1) & op(all_32_1, e0) = all_32_0 &
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_32_1 & $i(all_32_0) &
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15358) implies:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15359) ~ (all_32_0 = e1)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15360) op(e0, e2) = all_32_1
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15361) op(all_32_1, e0) = all_32_0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_32_1,
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (15342), (15360) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15362) all_32_1 = e1
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1,
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_32_1, e2, e0, simplifying with (15356),
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15360) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15363) all_32_1 = all_4_1
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15362), (15363) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15364) all_4_1 = e1
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15364) implies:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15365) all_4_1 = e1
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15361), (15362) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15366) op(e1, e0) = all_32_0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15357), (15365) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15367) op(e1, e0) = all_4_0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_14,
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_0, e0, e1, simplifying with (161), (15367)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15368) all_53_14 = all_4_0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_14,
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_32_0, e0, e1, simplifying with (161), (15366)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15369) all_53_14 = all_32_0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15368), (15369) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15370) all_32_0 = all_4_0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15370) implies:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15371) all_32_0 = all_4_0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (15368) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15372) all_55_11 = all_4_0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (142), (15368) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15373) ~ (all_53_2 = all_4_0)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (15368) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15374) ~ (all_53_6 = all_4_0)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14929), (15368) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15375) ~ (all_4_0 = e2)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15359), (15371) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15376) ~ (all_4_0 = e1)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15377) all_55_11 = e3
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15355), (15372), (15377) are inconsistent by
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #74.
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15378) all_55_11 = e2 | all_55_11 = e1 | all_55_11 = e0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15378) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15379) all_55_11 = e2
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15372), (15379) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15380) all_4_0 = e2
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15375), (15380) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15381) $false
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15381) is inconsistent.
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15382) all_55_11 = e1 | all_55_11 = e0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15382) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15383) all_55_11 = e1
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15372), (15376), (15383) are inconsistent by
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #73.
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15384) all_55_11 = e0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15372), (15384) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15385) all_4_0 = e0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15385) implies:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15386) all_4_0 = e0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15374), (15386) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15387) ~ (all_53_6 = e0)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (144), (196), (197), (201), (256), (257), (15255),
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15262), (15266), (15267), (15279), (15280),
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15286), (15287), (15289), (15292), (15293),
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15297), (15325), (15351), (15353), (15387),
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #72.
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15388) ~ (all_32_1 = e3) & op(e0, e2) = all_32_1 &
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15388) implies:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15389) op(e0, e2) = all_32_1
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_32_1,
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (15342), (15389) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15390) all_32_1 = e1
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1,
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_32_1, e2, e0, simplifying with (15356),
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15389) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15391) all_32_1 = all_4_1
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15390), (15391) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15392) all_4_1 = e1
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15392) implies:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15393) all_4_1 = e1
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15357), (15393) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15394) op(e1, e0) = all_4_0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_14,
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_0, e0, e1, simplifying with (161), (15394)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15395) all_53_14 = all_4_0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (15395) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15396) all_55_11 = all_4_0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (15395) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15397) ~ (all_53_6 = all_4_0)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (15395) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15398) ~ (all_53_12 = all_4_0)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15300), (15395) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15399) ~ (all_52_15 = all_4_0)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15399) implies:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15400) ~ (all_52_15 = all_4_0)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14929), (15395) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15401) ~ (all_4_0 = e2)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15402) all_55_1 = e3
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (15402) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15403) all_53_4 = e3
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15403) implies:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15404) all_53_4 = e3
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (15404) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15405) ~ (all_53_6 = e3)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15405) implies:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15406) ~ (all_53_6 = e3)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (15404) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15407) ~ (all_53_12 = e3)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15407) implies:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15408) ~ (all_53_12 = e3)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15409) all_55_9 = e3
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (15409) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15410) all_53_6 = e3
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15406), (15410) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15411) $false
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15411) is inconsistent.
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15412) all_55_9 = e2 | all_55_9 = e1 | all_55_9 = e0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15412) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15413) all_55_9 = e2
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (15413) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15414) all_53_6 = e2
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15267), (15414) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15415) $false
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15415) is inconsistent.
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15416) all_55_9 = e1 | all_55_9 = e0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15416) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15417) all_55_9 = e1
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (15417) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15418) all_53_6 = e1
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15353), (15418) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15419) $false
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15419) is inconsistent.
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15420) all_55_9 = e0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (15420) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15421) all_53_6 = e0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15397), (15421) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15422) ~ (all_4_0 = e0)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15422) implies:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15423) ~ (all_4_0 = e0)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15424) all_55_11 = e3
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15396), (15424) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15425) all_4_0 = e3
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15355), (15425) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15426) $false
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15426) is inconsistent.
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15427) all_55_11 = e2 | all_55_11 = e1 | all_55_11 = e0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15427) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15428) all_55_11 = e2
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15396), (15428) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15429) all_4_0 = e2
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15401), (15429) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15430) $false
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15430) is inconsistent.
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15431) all_55_11 = e1 | all_55_11 = e0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15431) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15432) all_55_11 = e1
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15396), (15432) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15433) all_4_0 = e1
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15398), (15433) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15434) ~ (all_53_12 = e1)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15400), (15433) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15435) ~ (all_52_15 = e1)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15436) all_55_3 = e3
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (15408), (15436) are inconsistent by
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2169.
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15437) all_55_3 = e2 | all_55_3 = e1 | all_55_3 = e0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15437) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15438) all_55_3 = e2
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (14927), (15438) are inconsistent by
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1612.
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15439) ~ (all_55_3 = e2)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15440) all_55_3 = e1 | all_55_3 = e0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15440) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15441) all_55_3 = e1
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (15434), (15441) are inconsistent by
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #324.
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15442) all_55_3 = e0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (15442) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15443) all_53_12 = e0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15443) implies:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15444) all_53_12 = e0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15298), (15444) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15445) ~ (all_52_15 = e0)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15445) implies:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15446) ~ (all_52_15 = e0)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14927), (15444) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15447) ~ (e2 = e0)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (198), (15255), (15278), (15285), (15301),
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15435), (15446), (function-axioms) are
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #71.
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15448) all_55_11 = e0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15396), (15448) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15449) all_4_0 = e0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15423), (15449) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15450) $false
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15450) is inconsistent.
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15451) all_55_1 = e2 | all_55_1 = e1 | all_55_1 = e0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15451) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15452) all_55_1 = e2
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (15452) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15453) all_53_4 = e2
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14951), (15453) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15454) $false
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15454) is inconsistent.
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15455) all_55_1 = e1 | all_55_1 = e0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15455) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15456) all_55_1 = e1
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (15456) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15457) all_53_4 = e1
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15352), (15457) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15458) $false
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15458) is inconsistent.
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15459) all_55_1 = e0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (15459) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15460) all_53_4 = e0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (15460) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15461) ~ (all_53_6 = e0)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15461) implies:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15462) ~ (all_53_6 = e0)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (144), (196), (197), (201), (256), (257), (15255),
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15262), (15266), (15267), (15279), (15280),
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15286), (15287), (15289), (15292), (15293),
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15297), (15325), (15351), (15353), (15462),
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #72.
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15463) ~ (all_4_1 = e1) & op(e0, e2) = all_4_1 &
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_4_1)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15307), (15342), (15463), (function-axioms) are
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #69.
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15464) (all_57_13 = e0 & op(e0, e2) = e0) | (all_57_14 =
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15464) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15465) all_57_13 = e0 & op(e0, e2) = e0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15341), (15465) are inconsistent by
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1920.
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15466) all_57_14 = e0 & op(e0, e1) = e0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15466) implies:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15467) all_57_14 = e0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15323), (15467) are inconsistent by
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2420.
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15468) (all_57_14 = e1 & op(e0, e1) = e1) | (all_57_15 =
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15468) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15469) all_57_14 = e1 & op(e0, e1) = e1
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15323), (15469) are inconsistent by
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2319.
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15470) all_57_15 = e1 & op(e0, e0) = e1
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15470) implies:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15471) op(e0, e0) = e1
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14935), (15471), (function-axioms) are
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2177.
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (15472) all_57_15 = e3 & op(e0, e0) = e3
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15472) implies:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (15473) all_57_15 = e3
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14934), (15473) are inconsistent by
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2058.
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | (15474) ~ (all_55_14 = e3)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | (15475) all_55_14 = e2 | all_55_14 = e1 | all_55_14 = e0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (245), (15474) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | (15476) ~ (all_53_11 = e3)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | (15477) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 =
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15477) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (15478) all_57_12 = e3 & op(e0, e3) = e3
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15478) implies:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (15479) all_57_12 = e3
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (15480) op(e0, e3) = e3
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_3, e3,
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (160), (15480) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (15481) all_53_3 = e3
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (15481) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (15482) ~ (all_53_2 = e3)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (15481) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (15483) ~ (all_53_7 = e3)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15483) implies:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (15484) ~ (all_53_7 = e3)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (15481) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (15485) ~ (all_53_11 = e3)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15486) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15486) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15487) all_57_6 = e3 & op(e1, e3) = e3
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (15482), (15487), (function-axioms) are
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #153.
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15488) all_57_7 = e3 & op(e1, e2) = e3
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15488) implies:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15489) all_57_7 = e3
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15490) op(e1, e2) = e3
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_6, e3,
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (163), (15490) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15491) all_53_6 = e3
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (15491) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15492) ~ (all_53_14 = e3)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15492) implies:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15493) ~ (all_53_14 = e3)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15313) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15494) ~ (all_42_0 = e3) & op(all_42_1, e1) = all_42_0 &
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_42_1 & $i(all_42_0) &
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15494) implies:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15495) ~ (all_42_0 = e3)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15496) op(e1, e2) = all_42_1
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15497) op(all_42_1, e1) = all_42_0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15310) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15498) ~ (all_38_0 = e0) & op(all_38_1, e1) = all_38_0 &
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_38_1 & $i(all_38_0) &
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15498) implies:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15499) ~ (all_38_0 = e0)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15500) op(e1, e2) = all_38_1
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15501) op(all_38_1, e1) = all_38_0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_42_1,
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (15490), (15496) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15502) all_42_1 = e3
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_38_1,
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_1, e2, e1, simplifying with (15496),
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15500) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15503) all_42_1 = all_38_1
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15502), (15503) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15504) all_38_1 = e3
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15504) implies:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15505) all_38_1 = e3
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15497), (15502) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15506) op(e3, e1) = all_42_0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15501), (15505) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15507) op(e3, e1) = all_38_0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_8,
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_0, e1, e3, simplifying with (170), (15507)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15508) all_53_8 = all_38_0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_8,
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_0, e1, e3, simplifying with (170), (15506)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15509) all_53_8 = all_42_0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15508), (15509) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15510) all_42_0 = all_38_0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15510) implies:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15511) all_42_0 = all_38_0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (15508) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15512) all_55_2 = all_38_0
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (15508) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15513) ~ (all_53_11 = all_38_0)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15513) implies:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15514) ~ (all_53_11 = all_38_0)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15294), (15508) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15515) ~ (all_52_13 = all_38_0)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15515) implies:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15516) ~ (all_52_13 = all_38_0)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15268), (15508) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15517) ~ (all_38_0 = e2)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15495), (15511) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15518) ~ (all_38_0 = e3)
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15519) all_55_2 = e3
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15512), (15519) imply:
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15520) all_38_0 = e3
% 224.61/38.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15518), (15520) imply:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15521) $false
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15521) is inconsistent.
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15522) all_55_2 = e2 | all_55_2 = e1 | all_55_2 = e0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (199), (245), (14926), (15255), (15279), (15286),
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15296), (15297), (15475), (15499), (15512),
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15514), (15516), (15517), (15522),
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #67.
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15523) ~ (all_38_1 = e3) & op(e1, e2) = all_38_1 &
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15490), (15523), (function-axioms) are
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1444.
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15524) ~ (all_42_1 = e0) & op(e1, e2) = all_42_1 &
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15524) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15525) ~ (all_42_1 = e0)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15526) op(e1, e2) = all_42_1
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15310) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15527) ~ (all_38_0 = e0) & op(all_38_1, e1) = all_38_0 &
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_38_1 & $i(all_38_0) &
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15527) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15528) ~ (all_38_0 = e0)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15529) op(e1, e2) = all_38_1
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15530) op(all_38_1, e1) = all_38_0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_42_1,
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (15490), (15526) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15531) all_42_1 = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_38_1,
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_1, e2, e1, simplifying with (15526),
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15529) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15532) all_42_1 = all_38_1
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15531), (15532) imply:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15533) all_38_1 = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15533) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15534) all_38_1 = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15530), (15534) imply:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15535) op(e3, e1) = all_38_0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_8,
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_0, e1, e3, simplifying with (170), (15535)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15536) all_53_8 = all_38_0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (15536) imply:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15537) all_55_2 = all_38_0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (15536) imply:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15538) ~ (all_53_11 = all_38_0)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15538) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15539) ~ (all_53_11 = all_38_0)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (15536) imply:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15540) ~ (all_53_12 = all_38_0)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15540) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15541) ~ (all_53_12 = all_38_0)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15294), (15536) imply:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15542) ~ (all_52_13 = all_38_0)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15542) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15543) ~ (all_52_13 = all_38_0)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15268), (15536) imply:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15544) ~ (all_38_0 = e2)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15545) all_55_2 = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15537), (15545) imply:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15546) all_38_0 = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15546) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15547) all_38_0 = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15541), (15547) imply:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15548) ~ (all_53_12 = e3)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15549) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15549) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15550) all_57_4 = e3 & op(e3, e1) = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15550) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15551) all_57_4 = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15552) (all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 =
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15552) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15553) all_57_9 = e3 & op(e3, e0) = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15553) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15554) op(e3, e0) = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (15548), (15554), (function-axioms) are
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2458.
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15555) all_57_10 = e3 & op(e2, e0) = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15555) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15556) all_57_10 = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15557) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15557) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15558) all_57_2 = e3 & op(e2, e3) = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15558) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15559) all_57_2 = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15560) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15560) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15561) all_57_0 = e1 & op(e3, e3) = e1
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15561) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15562) op(e3, e3) = e1
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (169), (171), (235), (14927), (14951),
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15551), (15562), (function-axioms) are
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #234.
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15563) all_57_2 = e1 & op(e2, e3) = e1
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15559), (15563) are inconsistent by
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1928.
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15564) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15564) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15565) all_57_6 = e1 & op(e1, e3) = e1
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15565) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15566) all_57_6 = e1
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15567) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15567) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15568) all_57_6 = e0 & op(e1, e3) = e0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15566), (15568) are inconsistent by
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2347.
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15569) all_57_7 = e0 & op(e1, e2) = e0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15569) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15570) op(e1, e2) = e0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15310) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15525), (15526), (15529), (15570),
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #211.
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15571) ~ (all_38_1 = e3) & op(e1, e2) = all_38_1 &
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15525), (15526), (15529), (15570),
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #211.
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15572) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15572) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15573) all_57_8 = e0 & op(e1, e1) = e0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15573) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15574) all_57_8 = e0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15261), (15574) imply:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15575) e2 = e0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15575) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15576) e2 = e0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14957), (15576) imply:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15577) all_57_3 = e0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (223), (224), (15556),
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15559), (15577) are inconsistent by sub-proof
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1433.
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15578) all_57_11 = e0 & op(e1, e0) = e0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15578) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15579) all_57_11 = e0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15580) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 =
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15580) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15581) all_57_9 = e1 & op(e3, e0) = e1
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15581) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15582) all_57_9 = e1
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15583) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15583) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15584) all_57_0 = e0 & op(e3, e3) = e0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15584) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15585) op(e3, e3) = e0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15255), (15585), (function-axioms) are
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2403.
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15586) all_57_1 = e0 & op(e3, e2) = e0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15586) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15587) all_57_1 = e0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15588) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15588) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15589) all_57_0 = e0 & op(e3, e3) = e0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15589) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15590) op(e3, e3) = e0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (169), (235), (237), (15548),
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15582), (15587), (15590), (function-axioms) are
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2400.
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15591) all_57_2 = e0 & op(e2, e3) = e0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15559), (15591) are inconsistent by
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1805.
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15592) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15592) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15593) all_57_6 = e0 & op(e1, e3) = e0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15566), (15593) are inconsistent by
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2347.
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15594) all_57_12 = e0 & op(e0, e3) = e0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15479), (15594) are inconsistent by
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2237.
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15595) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15595) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15596) all_57_4 = e0 & op(e3, e1) = e0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15551), (15596) are inconsistent by
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2491.
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15597) all_57_9 = e0 & op(e3, e0) = e0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15582), (15597) are inconsistent by
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1990.
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15598) all_57_10 = e1 & op(e2, e0) = e1
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15556), (15598) are inconsistent by
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2349.
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15599) (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 =
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15599) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15600) all_57_11 = e1 & op(e1, e0) = e1
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15600) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15601) all_57_11 = e1
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15579), (15601) are inconsistent by
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1862.
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15602) all_57_15 = e1 & op(e0, e0) = e1
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15602) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15603) op(e0, e0) = e1
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14935), (15603), (function-axioms) are
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2177.
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15604) all_57_12 = e1 & op(e0, e3) = e1
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15479), (15604) are inconsistent by
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2230.
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15605) all_57_3 = e3 & op(e2, e2) = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15605) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15606) op(e2, e2) = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14958), (15606), (function-axioms) are
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2298.
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15607) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15607) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15608) all_57_5 = e3 & op(e2, e1) = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15608) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15609) all_57_5 = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (215), (216),
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (222), (223), (224), (225),
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (230), (234), (237), (14957),
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14958), (15255), (15262), (15479), (15489),
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15548), (15556), (15609), (function-axioms) are
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #65.
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15555) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15610) op(e2, e0) = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_15,
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e2, simplifying with (15274), (15610)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15611) all_52_15 = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15278), (15611) imply:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15612) op(e3, e3) = e0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15255), (15612), (function-axioms) are
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2403.
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15613) (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 =
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (39), (67), (82), (107), (119), (158),
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (161), (165), (166), (169), (195),
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (199), (209), (212), (259), (311), (315), (336),
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (364), (368), (14924), (14925), (14927), (14928),
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14936), (14958), (15255), (15493), (15613),
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #64.
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15614) all_57_5 = e3 & op(e2, e1) = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15614) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15615) all_57_5 = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15616) (all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 =
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15616) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15617) all_57_9 = e3 & op(e3, e0) = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15617) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15618) op(e3, e0) = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (15548), (15618), (function-axioms) are
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2458.
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15619) all_57_10 = e3 & op(e2, e0) = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15619) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15620) all_57_10 = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (215), (216),
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (220), (222), (223), (224), (225),
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (230), (234), (237), (14957),
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14958), (15255), (15262), (15479), (15489),
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15548), (15615), (15620), (function-axioms) are
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #65.
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15621) (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 =
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (39), (67), (82), (107), (119), (158),
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (161), (165), (166), (169), (195),
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (199), (209), (212), (259), (311), (315), (336),
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (364), (368), (14924), (14925), (14927), (14928),
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14936), (14958), (15255), (15493), (15621),
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #64.
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15622) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (158), (14936), (15476), (15622),
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #63.
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15623) all_55_2 = e2 | all_55_2 = e1 | all_55_2 = e0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (199), (245), (14926), (15255), (15279), (15286),
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15296), (15297), (15475), (15528), (15537),
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15539), (15543), (15544), (15623),
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #67.
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15624) ~ (all_38_1 = e3) & op(e1, e2) = all_38_1 &
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15490), (15624), (function-axioms) are
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1444.
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15625) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15625) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15626) all_57_8 = e3 & op(e1, e1) = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15626) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15627) op(e1, e1) = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (14936), (15627), (function-axioms) are
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15628) all_57_11 = e3 & op(e1, e0) = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15628) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15629) all_57_11 = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15630) op(e1, e0) = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_14,
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e1, simplifying with (161), (15630) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15631) all_53_14 = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (15631) imply:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15632) ~ (all_53_6 = e3)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15633) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15633) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15634) all_57_1 = e3 & op(e3, e2) = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15634) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15635) all_57_1 = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15636) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15636) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15637) all_57_2 = e3 & op(e2, e3) = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15637) implies:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15638) all_57_2 = e3
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15639) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 224.61/38.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15639) gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15640) all_57_0 = e0 & op(e3, e3) = e0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15640) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15641) op(e3, e3) = e0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15255), (15641), (function-axioms) are
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2403.
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15642) all_57_2 = e0 & op(e2, e3) = e0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15642) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15643) all_57_2 = e0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15638), (15643) are inconsistent by
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2258.
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15644) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15644) gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15645) all_57_6 = e0 & op(e1, e3) = e0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15645) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15646) all_57_6 = e0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15647) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (15255), (15638), (15647),
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #749.
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15648) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (15479), (15646), (15648) are
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2226.
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15649) all_57_12 = e0 & op(e0, e3) = e0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15649) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15650) all_57_12 = e0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15479), (15650) are inconsistent by
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2153.
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15651) all_57_3 = e3 & op(e2, e2) = e3
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15651) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15652) op(e2, e2) = e3
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14958), (15652), (function-axioms) are
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2298.
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15653) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15653) gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15654) all_57_5 = e3 & op(e2, e1) = e3
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15654) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15655) op(e2, e1) = e3
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, e2, simplifying with (15275), (15655)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15656) all_52_13 = e3
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15279), (15656) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15657) op(e3, e3) = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15255), (15657), (function-axioms) are
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1950.
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15658) all_57_10 = e3 & op(e2, e0) = e3
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15658) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15659) all_57_10 = e3
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15660) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 =
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15660) gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15661) all_57_9 = e1 & op(e3, e0) = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15661) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15662) all_57_9 = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15663) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (15255), (15635), (15663),
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1676.
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15664) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15664) gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15665) all_57_4 = e0 & op(e3, e1) = e0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15665) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15666) all_57_4 = e0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15667) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15667) gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15668) all_57_4 = e3 & op(e3, e1) = e3
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15668) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15669) all_57_4 = e3
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15666), (15669) are inconsistent by
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2372.
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15670) all_57_5 = e3 & op(e2, e1) = e3
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15670) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15671) all_57_5 = e3
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15672) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15672) gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15673) all_57_2 = e0 & op(e2, e3) = e0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15673) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15674) all_57_2 = e0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15675) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (15255), (15674), (15675),
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #105.
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15676) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15676) gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15677) all_57_6 = e1 & op(e1, e3) = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15677) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15678) all_57_6 = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15679) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15679) gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15680) all_57_4 = e1 & op(e3, e1) = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15680) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15681) all_57_4 = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (231), (237), (15255),
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15662), (15681), (function-axioms) are
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1672.
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15682) all_57_5 = e1 & op(e2, e1) = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15682) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15683) all_57_5 = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15671), (15683) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15684) e3 = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15479), (15684) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15685) all_57_12 = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (236), (15255), (15674), (15678),
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15685), (function-axioms) are inconsistent by
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #103.
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15686) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15686) gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15687) all_57_8 = e1 & op(e1, e1) = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15687) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15688) op(e1, e1) = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15262), (15688), (function-axioms) are
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2423.
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15689) all_57_14 = e1 & op(e0, e1) = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15689) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15690) all_57_14 = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15691) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15691) gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15692) all_57_2 = e1 & op(e2, e3) = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15692) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15693) all_57_2 = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15674), (15693) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15694) e1 = e0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15694) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15695) e1 = e0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15690), (15695) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15696) all_57_14 = e0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (219), (220), (15666),
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15671), (15696), (function-axioms) are
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2378.
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15697) all_57_3 = e1 & op(e2, e2) = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15697) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15698) op(e2, e2) = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14958), (15698), (function-axioms) are
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15699) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15699) gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15700) all_57_5 = e1 & op(e2, e1) = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15700) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15701) all_57_5 = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (39), (221), (14936), (15666), (15690),
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15701), (function-axioms) are inconsistent by
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #62.
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15702) all_57_10 = e1 & op(e2, e0) = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15702) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15703) all_57_10 = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15659), (15703) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15704) e3 = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15671), (15704) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15705) all_57_5 = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (39), (221), (14936), (15666), (15690),
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15705), (function-axioms) are inconsistent by
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #62.
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15706) all_57_12 = e1 & op(e0, e3) = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15479), (15706) are inconsistent by
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2230.
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15707) all_57_3 = e0 & op(e2, e2) = e0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15707) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15708) all_57_3 = e0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (223), (224), (15659),
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15671), (15708) are inconsistent by sub-proof
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1693.
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15709) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15709) gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15710) all_57_5 = e0 & op(e2, e1) = e0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15671), (15710) are inconsistent by
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2414.
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15711) all_57_10 = e0 & op(e2, e0) = e0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (207), (14934), (14935), (15274), (15278),
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15301), (15711), (function-axioms) are
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #84.
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15712) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (158), (14936), (15476), (15712),
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #63.
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15713) all_57_9 = e0 & op(e3, e0) = e0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15662), (15713) are inconsistent by
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1990.
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15714) all_57_10 = e1 & op(e2, e0) = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15659), (15714) are inconsistent by
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2349.
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15715) (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 =
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15715) gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15716) all_57_11 = e1 & op(e1, e0) = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15716) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15717) all_57_11 = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15629), (15717) are inconsistent by
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2218.
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15718) all_57_15 = e1 & op(e0, e0) = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15718) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15719) op(e0, e0) = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14935), (15719), (function-axioms) are
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2177.
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15720) all_57_3 = e3 & op(e2, e2) = e3
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15720) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15721) op(e2, e2) = e3
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14958), (15721), (function-axioms) are
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2298.
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15722) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15722) gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15723) all_57_7 = e3 & op(e1, e2) = e3
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (15632), (15723), (function-axioms) are
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #267.
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15724) all_57_13 = e3 & op(e0, e2) = e3
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (15484), (15724), (function-axioms) are
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #78.
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (15725) all_57_13 = e3 & op(e0, e2) = e3
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15725) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (15726) op(e0, e2) = e3
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_7, e3,
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (159), (15726) gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (15727) all_53_7 = e3
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (15727) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (15728) ~ (all_53_3 = e3)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (15727) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (15729) ~ (all_53_4 = e3)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (15727) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (15730) ~ (all_53_6 = e3)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (15727) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (15731) ~ (all_53_11 = e3)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14922) gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15732) ~ (all_4_0 = e3) & op(all_4_1, e0) = all_4_0 &
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_4_1 & $i(all_4_0) & $i(all_4_1)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15732) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15733) ~ (all_4_0 = e3)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15734) op(e0, e2) = all_4_1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15735) op(all_4_1, e0) = all_4_0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15307) gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15736) ~ (all_32_0 = e1) & op(all_32_1, e0) = all_32_0 &
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_32_1 & $i(all_32_0) &
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15736) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15737) ~ (all_32_0 = e1)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15738) op(e0, e2) = all_32_1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15739) op(all_32_1, e0) = all_32_0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_32_1,
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (15726), (15738) gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15740) all_32_1 = e3
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1,
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_32_1, e2, e0, simplifying with (15734),
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15738) gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15741) all_32_1 = all_4_1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15740), (15741) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15742) all_4_1 = e3
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15742) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15743) all_4_1 = e3
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15739), (15740) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15744) op(e3, e0) = all_32_0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15735), (15743) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15745) op(e3, e0) = all_4_0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_12,
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_4_0, e0, e3, simplifying with (169), (15745)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15746) all_53_12 = all_4_0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_12,
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_32_0, e0, e3, simplifying with (169), (15744)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15747) all_53_12 = all_32_0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15746), (15747) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15748) all_32_0 = all_4_0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15748) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15749) all_32_0 = all_4_0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (15746) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15750) all_55_3 = all_4_0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (15746) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15751) ~ (all_53_4 = all_4_0)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (15746) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15752) ~ (all_53_8 = all_4_0)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (15746) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15753) ~ (all_53_14 = all_4_0)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15753) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15754) ~ (all_53_14 = all_4_0)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15298), (15746) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15755) ~ (all_52_15 = all_4_0)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15755) implies:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15756) ~ (all_52_15 = all_4_0)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14927), (15746) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15757) ~ (all_4_0 = e2)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15737), (15749) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15758) ~ (all_4_0 = e1)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15759) all_55_3 = e3
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15750), (15759) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15760) all_4_0 = e3
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15733), (15760) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15761) $false
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15761) is inconsistent.
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15762) ~ (all_55_3 = e3)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15763) all_55_3 = e2 | all_55_3 = e1 | all_55_3 = e0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15763) gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15764) all_55_3 = e2
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15750), (15764) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15765) all_4_0 = e2
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15757), (15765) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15766) $false
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15766) is inconsistent.
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15767) ~ (all_55_3 = e2)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15768) all_55_3 = e1 | all_55_3 = e0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15768) gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15769) all_55_3 = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15750), (15769) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15770) all_4_0 = e1
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15758), (15770) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15771) $false
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15771) is inconsistent.
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15772) all_55_3 = e0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15750), (15772) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15773) all_4_0 = e0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15751), (15773) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15774) ~ (all_53_4 = e0)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15752), (15773) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15775) ~ (all_53_8 = e0)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15754), (15773) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15776) ~ (all_53_14 = e0)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15756), (15773) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15777) ~ (all_52_15 = e0)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15733), (15773) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15778) ~ (e3 = e0)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15757), (15773) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15779) ~ (e2 = e0)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15758), (15773) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15780) ~ (e1 = e0)
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15745), (15773) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15781) op(e3, e0) = e0
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15782) all_55_1 = e3
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (15782) imply:
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15783) all_53_4 = e3
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15729), (15783) imply:
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15784) $false
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15784) is inconsistent.
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15785) ~ (all_55_1 = e3)
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15786) all_55_1 = e2 | all_55_1 = e1 | all_55_1 = e0
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15787) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_1 = e3
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (171), (15255), (15729), (15787),
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #249.
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15788) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_9 = e3
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15788) gives:
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15789) all_57_4 = e3 & op(e3, e1) = e3
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15789) implies:
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15790) all_57_4 = e3
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15791) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15791) gives:
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15792) all_57_0 = e1 & op(e3, e3) = e1
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15792) implies:
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15793) op(e3, e3) = e1
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (169), (171), (235), (14927), (14951),
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15790), (15793), (function-axioms) are
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #234.
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15794) all_57_1 = e1 & op(e3, e2) = e1
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15794) implies:
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15795) all_57_1 = e1
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15796) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (171), (15255), (15774), (15796),
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1321.
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15797) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15797) gives:
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15798) all_57_4 = e0 & op(e3, e1) = e0
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15798) implies:
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15799) op(e3, e1) = e0
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (15775), (15799), (function-axioms) are
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15800) all_57_9 = e0 & op(e3, e0) = e0
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15800) implies:
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15801) all_57_9 = e0
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15786) gives:
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15802) all_55_1 = e2
% 224.61/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (15802) imply:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15803) all_53_4 = e2
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14951), (15803) imply:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15804) $false
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15804) is inconsistent.
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15805) all_55_1 = e1 | all_55_1 = e0
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15805) gives:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15806) all_55_1 = e1
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (15806) imply:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15807) all_53_4 = e1
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (15807) imply:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15808) ~ (all_53_6 = e1)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15808) implies:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15809) ~ (all_53_6 = e1)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (15807) imply:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15810) op(e3, e2) = e1
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15811) all_55_9 = e3
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (15730), (15811) are inconsistent by
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2159.
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15812) all_55_9 = e2 | all_55_9 = e1 | all_55_9 = e0
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (127), (142), (144), (145), (164), (193), (194),
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (198), (201), (235), (247), (248), (256),
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (257), (14924), (14929), (15252), (15255),
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15266), (15267), (15278), (15280), (15285),
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15287), (15289), (15291), (15293), (15300),
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15301), (15304), (15728), (15777), (15790),
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15795), (15801), (15809), (15810), (15812),
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #59.
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15813) all_55_1 = e0
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (15813) imply:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15814) all_53_4 = e0
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15774), (15814) imply:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15815) $false
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15815) is inconsistent.
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15816) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15816) gives:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15817) all_57_4 = e1 & op(e3, e1) = e1
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15790), (15817) are inconsistent by
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2484.
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15818) all_57_9 = e1 & op(e3, e0) = e1
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15818) implies:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15819) all_57_9 = e1
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (161), (207), (14934), (14935), (15274),
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15278), (15301), (15776), (15819),
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #83.
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15820) all_57_9 = e3 & op(e3, e0) = e3
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15820) implies:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15821) op(e3, e0) = e3
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15781), (15821), (function-axioms) are
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #313.
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15822) ~ (all_32_1 = e3) & op(e0, e2) = all_32_1 &
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15822) implies:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15823) ~ (all_32_1 = e3)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15824) op(e0, e2) = all_32_1
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15726), (15734), (15823), (15824),
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #58.
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15825) ~ (all_4_1 = e1) & op(e0, e2) = all_4_1 &
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_4_1)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15825) implies:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15826) ~ (all_4_1 = e1)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15827) op(e0, e2) = all_4_1
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15307) gives:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15828) ~ (all_32_0 = e1) & op(all_32_1, e0) = all_32_0 &
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_32_1 & $i(all_32_0) &
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15828) implies:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15829) ~ (all_32_0 = e1)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15830) op(e0, e2) = all_32_1
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15831) op(all_32_1, e0) = all_32_0
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_32_1,
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (15726), (15830) gives:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15832) all_32_1 = e3
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1,
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_32_1, e2, e0, simplifying with (15827),
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15830) gives:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15833) all_32_1 = all_4_1
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15832), (15833) imply:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15834) all_4_1 = e3
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15834) implies:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15835) all_4_1 = e3
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15831), (15832) imply:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15836) op(e3, e0) = all_32_0
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_12,
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_32_0, e0, e3, simplifying with (169), (15836)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15837) all_53_12 = all_32_0
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (15837) imply:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15838) all_55_3 = all_32_0
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (15837) imply:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15839) ~ (all_53_4 = all_32_0)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (15837) imply:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15840) ~ (all_53_8 = all_32_0)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (15837) imply:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15841) ~ (all_53_14 = all_32_0)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15841) implies:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15842) ~ (all_53_14 = all_32_0)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15298), (15837) imply:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15843) ~ (all_52_15 = all_32_0)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15843) implies:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15844) ~ (all_52_15 = all_32_0)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14927), (15837) imply:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15845) ~ (all_32_0 = e2)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15846) all_55_1 = e3
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (15729), (15846) are inconsistent by
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2295.
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15847) ~ (all_55_1 = e3)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15848) all_55_1 = e2 | all_55_1 = e1 | all_55_1 = e0
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15849) all_55_9 = e3
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (15730), (15849) are inconsistent by
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2159.
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15850) ~ (all_55_9 = e3)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15851) all_55_9 = e2 | all_55_9 = e1 | all_55_9 = e0
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15852) all_55_3 = e3
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15838), (15852) imply:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15853) all_32_0 = e3
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15853) implies:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15854) all_32_0 = e3
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15840), (15854) imply:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15855) ~ (all_53_8 = e3)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15842), (15854) imply:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15856) ~ (all_53_14 = e3)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15857) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15857) gives:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15858) all_57_4 = e3 & op(e3, e1) = e3
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (15855), (15858), (function-axioms) are
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #177.
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15859) all_57_5 = e3 & op(e2, e1) = e3
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15859) implies:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15860) op(e2, e1) = e3
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15861) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15861) gives:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15862) all_57_6 = e3 & op(e1, e3) = e3
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15862) implies:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15863) all_57_6 = e3
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15864) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_1 = e3
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (171), (230), (232),
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (15729), (15863), (15864),
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #269.
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15865) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_9 = e3
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15865) gives:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15866) all_57_4 = e3 & op(e3, e1) = e3
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (15855), (15866), (function-axioms) are
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #177.
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, e2, simplifying with (15275), (15860)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15867) all_52_13 = e3
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15279), (15867) imply:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15868) op(e3, e3) = e1
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15255), (15868), (function-axioms) are
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1950.
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15869) all_57_7 = e3 & op(e1, e2) = e3
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (15730), (15869), (function-axioms) are
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #267.
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15870) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (161), (14936), (15856), (15870),
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2310.
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15871) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (158), (14936), (15476), (15871),
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #63.
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15872) ~ (all_55_3 = e3)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15873) all_55_3 = e2 | all_55_3 = e1 | all_55_3 = e0
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15838), (15872) imply:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15874) ~ (all_32_0 = e3)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15875) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_1 = e3
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (171), (15255), (15729), (15875),
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #249.
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15876) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_9 = e3
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15876) gives:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15877) all_57_4 = e3 & op(e3, e1) = e3
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15877) implies:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15878) all_57_4 = e3
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15879) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15879) gives:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15880) all_57_0 = e1 & op(e3, e3) = e1
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15880) implies:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15881) op(e3, e3) = e1
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (169), (171), (235), (14927), (14951),
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15878), (15881), (function-axioms) are
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #234.
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15882) all_57_1 = e1 & op(e3, e2) = e1
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15882) implies:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15883) all_57_1 = e1
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15873) gives:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15884) all_55_3 = e2
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15838), (15845), (15884) are inconsistent by
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #57.
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15885) ~ (all_55_3 = e2)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15886) all_55_3 = e1 | all_55_3 = e0
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15886) gives:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15887) all_55_3 = e1
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15829), (15838), (15887) are inconsistent by
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #56.
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15888) all_55_3 = e0
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15838), (15888) imply:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15889) all_32_0 = e0
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15889) implies:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15890) all_32_0 = e0
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15839), (15890) imply:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15891) ~ (all_53_4 = e0)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15842), (15890) imply:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15892) ~ (all_53_14 = e0)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15844), (15890) imply:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15893) ~ (all_52_15 = e0)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15845), (15890) imply:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15894) ~ (e2 = e0)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15848) gives:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15895) all_55_1 = e2
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (15895) imply:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15896) all_53_4 = e2
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14951), (15896) imply:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15897) $false
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15897) is inconsistent.
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15898) all_55_1 = e1 | all_55_1 = e0
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15899) all_57_15 = e0 & op(e0, e0) = e0
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15899) implies:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15900) op(e0, e0) = e0
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14935), (15900), (function-axioms) are
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #86.
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15901) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15901) implies:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15902) (all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 & op(e1,
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15902) gives:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15903) all_57_9 = e0 & op(e3, e0) = e0
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15903) implies:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15904) all_57_9 = e0
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15898) gives:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15905) all_55_1 = e1
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (15905) imply:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15906) all_53_4 = e1
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (15906) imply:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15907) ~ (all_53_6 = e1)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15907) implies:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15908) ~ (all_53_6 = e1)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (15906) imply:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15909) op(e3, e2) = e1
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (127), (142), (144), (145), (164), (193), (194),
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (198), (201), (235), (247), (248), (256),
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (257), (14924), (14929), (15252), (15255),
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15266), (15267), (15278), (15280), (15285),
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15287), (15289), (15291), (15293), (15300),
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15301), (15304), (15728), (15851), (15878),
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15883), (15893), (15904), (15908), (15909),
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #59.
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15910) all_55_1 = e0
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (15910) imply:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15911) all_53_4 = e0
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15891), (15911) imply:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15912) $false
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15912) is inconsistent.
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15913) (all_57_10 = e0 & op(e2, e0) = e0) | (all_57_11 =
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15913) gives:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15914) all_57_10 = e0 & op(e2, e0) = e0
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (207), (14934), (14935), (15274), (15278),
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15301), (15914), (function-axioms) are
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #84.
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15915) all_57_11 = e0 & op(e1, e0) = e0
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (15892), (15915), (function-axioms) are
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2341.
% 224.92/38.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15916) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15916) gives:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15917) all_57_4 = e1 & op(e3, e1) = e1
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15917) implies:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15918) all_57_4 = e1
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15878), (15918) are inconsistent by
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2426.
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15919) all_57_9 = e1 & op(e3, e0) = e1
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15919) implies:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15920) all_57_9 = e1
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15873) gives:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15921) all_55_3 = e2
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15838), (15845), (15921) are inconsistent by
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #57.
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15922) ~ (all_55_3 = e2)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15923) all_55_3 = e1 | all_55_3 = e0
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15923) gives:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15924) all_55_3 = e1
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15829), (15838), (15924) are inconsistent by
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #56.
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15925) all_55_3 = e0
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15838), (15925) imply:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15926) all_32_0 = e0
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15926) implies:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15927) all_32_0 = e0
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15842), (15927) imply:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15928) ~ (all_53_14 = e0)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15845), (15927) imply:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15929) ~ (e2 = e0)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15829), (15927) imply:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15930) ~ (e1 = e0)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (161), (207), (14934), (14935), (15274),
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15278), (15301), (15920), (15928),
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #83.
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15931) all_57_9 = e3 & op(e3, e0) = e3
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15931) implies:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15932) op(e3, e0) = e3
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15873) gives:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15933) all_55_3 = e2
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15838), (15845), (15933) are inconsistent by
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #57.
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15934) all_55_3 = e1 | all_55_3 = e0
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15934) gives:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15935) all_55_3 = e1
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15829), (15838), (15935) are inconsistent by
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #56.
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15936) all_55_3 = e0
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15838), (15936) imply:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15937) all_32_0 = e0
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15937) implies:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15938) all_32_0 = e0
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15874), (15938) imply:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15939) ~ (e3 = e0)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15836), (15938) imply:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15940) op(e3, e0) = e0
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15932), (15940), (function-axioms) are
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #313.
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15941) ~ (all_32_1 = e3) & op(e0, e2) = all_32_1 &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15941) implies:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15942) ~ (all_32_1 = e3)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15943) op(e0, e2) = all_32_1
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15726), (15827), (15942), (15943),
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #58.
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | (15944) (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 =
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (158), (14934), (15476), (15944),
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | #55.
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | (15945) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 224.92/38.51 | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 224.92/38.51 | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.92/38.51 | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 224.92/38.51 | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 224.92/38.51 | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 224.92/38.51 | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 224.92/38.51 | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.92/38.51 | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 224.92/38.51 | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 224.92/38.51 | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 224.92/38.51 | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | BETA: splitting (15945) gives:
% 224.92/38.51 | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | (15946) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14958), (15262), (15946), (function-axioms)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2260.
% 224.92/38.51 | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | (15947) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14935), (14958), (15947), (function-axioms)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #79.
% 224.92/38.51 | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | (15948) all_57_14 = e2 & op(e0, e1) = e2
% 224.92/38.51 | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (14926), (15948), (function-axioms) are
% 224.92/38.51 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #54.
% 224.92/38.51 | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | (15949) all_18_2 = e0
% 224.92/38.51 | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | COMBINE_EQS: (327), (15949) imply:
% 224.92/38.51 | | | | | | | | | | | | | | (15950) all_10_2 = e0
% 224.92/38.51 | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | REDUCE: (338), (15950) imply:
% 224.92/38.51 | | | | | | | | | | | | | | (15951) ~ (all_53_1 = e0)
% 224.92/38.51 | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | REDUCE: (346), (15950) imply:
% 224.92/38.51 | | | | | | | | | | | | | | (15952) ~ (all_53_8 = e0)
% 224.92/38.51 | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | REDUCE: (348), (15950) imply:
% 224.92/38.51 | | | | | | | | | | | | | | (15953) ~ (all_53_12 = e0)
% 224.92/38.51 | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | REDUCE: (45), (15950) imply:
% 224.92/38.51 | | | | | | | | | | | | | | (15954) op(e3, e3) = e0
% 224.92/38.51 | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 224.92/38.51 | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | Case 1:
% 224.92/38.51 | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | (15955) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_2 = e2
% 224.92/38.51 | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 224.92/38.51 | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | REF_CLOSE: (5), (168), (14950), (15954), (15955),
% 224.92/38.51 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.51 | | | | | | | | | | | | | | | #1929.
% 224.92/38.51 | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | (15956) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_12 =
% 224.92/38.51 | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 224.92/38.51 | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | BETA: splitting (15956) gives:
% 224.92/38.51 | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | Case 1:
% 224.92/38.51 | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | (15957) all_57_6 = e2 & op(e1, e3) = e2
% 224.92/38.51 | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | ALPHA: (15957) implies:
% 224.92/38.51 | | | | | | | | | | | | | | | | (15958) op(e1, e3) = e2
% 224.92/38.51 | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 224.92/38.51 | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.51 | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | (15959) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 224.92/38.51 | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 224.92/38.51 | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (171), (14951), (15954), (15959),
% 224.92/38.51 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.51 | | | | | | | | | | | | | | | | | #1935.
% 224.92/38.51 | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | (15960) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 224.92/38.51 | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 224.92/38.51 | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | BETA: splitting (15960) gives:
% 224.92/38.51 | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.51 | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | (15961) all_57_4 = e2 & op(e3, e1) = e2
% 224.92/38.51 | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | ALPHA: (15961) implies:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | (15962) op(e3, e1) = e2
% 224.92/38.51 | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_2, e2,
% 224.92/38.51 | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (164), (15958) gives:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | (15963) all_53_2 = e2
% 224.92/38.51 | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_8, e2,
% 224.92/38.51 | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (170), (15962) gives:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | (15964) all_53_8 = e2
% 224.92/38.51 | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | REDUCE: (363), (15964) imply:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | (15965) ~ (all_6_2 = e2)
% 224.92/38.51 | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | SIMP: (15965) implies:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | (15966) ~ (all_6_2 = e2)
% 224.92/38.51 | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 224.92/38.51 | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | (15967) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 224.92/38.51 | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | BETA: splitting (15967) gives:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | (15968) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | ALPHA: (15968) implies:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | (15969) op(e3, e3) = all_52_1
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | (15970) op(all_52_1, all_52_1) = e3
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14935), (15954), (15969), (15970),
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | #53.
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | (15971) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | ALPHA: (15971) implies:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | (15972) op(e2, e0) = all_52_15
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | (15973) op(e2, e3) = all_52_9
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | (15974) op(all_52_15, all_52_15) = e0
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | (15975) op(all_52_9, all_52_9) = e3
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_13,
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | all_52_15, e0, e2, simplifying with (165), (15972)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | gives:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | (15976) all_53_13 = all_52_15
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_1,
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | all_52_9, e3, e2, simplifying with (168), (15973)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | gives:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | (15977) all_53_1 = all_52_9
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (15977) imply:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | (15978) all_55_4 = all_52_9
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | REDUCE: (14950), (15977) imply:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | (15979) ~ (all_52_9 = e2)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | REDUCE: (15951), (15977) imply:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | (15980) ~ (all_52_9 = e0)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | REDUCE: (14928), (15976) imply:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | (15981) ~ (all_52_15 = e2)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | (15982) ~ (all_24_2 = e0)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | REDUCE: (315), (15982) imply:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | (15983) ~ (all_6_2 = e0)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | (15984) all_55_10 = e3
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (14936), (15984) are inconsistent by
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2500.
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | (15985) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15985) gives:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | (15986) all_55_10 = e2
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (15966), (15986) are inconsistent by
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2499.
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | (15987) all_55_10 = e1 | all_55_10 = e0
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15987) gives:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | (15988) all_55_10 = e1
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (15988) imply:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | (15989) all_6_2 = e1
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15989) implies:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | (15990) all_6_2 = e1
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (15990) imply:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | (15991) op(e1, e1) = e1
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | (15992) all_55_4 = e3
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15954), (15975), (15978), (15980), (15992),
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | #52.
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | (15993) ~ (all_55_4 = e3)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | (15994) all_55_4 = e2 | all_55_4 = e1 | all_55_4 = e0
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15978), (15993) imply:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | (15995) ~ (all_52_9 = e3)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15994) gives:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (15996) all_55_4 = e2
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15978), (15979), (15996) are inconsistent by
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #345.
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (15997) all_55_4 = e1 | all_55_4 = e0
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15997) gives:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15998) all_55_4 = e1
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15978), (15998) imply:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15999) all_52_9 = e1
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15999) implies:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16000) all_52_9 = e1
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15995), (16000) imply:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16001) ~ (e3 = e1)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15975), (16000) imply:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16002) op(e1, e1) = e3
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15991), (16002), (function-axioms) are
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #156.
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16003) all_55_4 = e0
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15978), (15980), (16003) are inconsistent by
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #60.
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | (16004) all_55_10 = e0
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (15983), (16004) are inconsistent by
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2118.
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | (16005) all_24_2 = e0
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (315), (16005) imply:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | (16006) all_6_2 = e0
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | SIMP: (16006) implies:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | (16007) all_6_2 = e0
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (16007) imply:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | (16008) ~ (all_53_14 = e0)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | REDUCE: (15966), (16007) imply:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | (16009) ~ (e2 = e0)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | (16010) all_57_15 = e0 & op(e0, e0) = e0
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16010) implies:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | (16011) op(e0, e0) = e0
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14935), (16011), (function-axioms) are
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #86.
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | (16012) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16012) implies:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | (16013) (all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 & op(e1,
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16013) gives:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | (16014) all_57_9 = e0 & op(e3, e0) = e0
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (15953), (16014), (function-axioms) are
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2434.
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | (16015) (all_57_10 = e0 & op(e2, e0) = e0) | (all_57_11 =
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16015) gives:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | (16016) all_57_10 = e0 & op(e2, e0) = e0
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (207), (14934), (14935), (15972), (15974),
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | (15981), (16016), (function-axioms) are
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #84.
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | (16017) all_57_11 = e0 & op(e1, e0) = e0
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (16008), (16017), (function-axioms) are
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2341.
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | (16018) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 224.92/38.51 | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | BETA: splitting (16018) gives:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | (16019) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14958), (15958), (16019), (function-axioms)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #80.
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | (16020) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14935), (14958), (16020), (function-axioms)
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #79.
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | (16021) all_57_9 = e2 & op(e3, e0) = e2
% 224.92/38.51 | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | ALPHA: (16021) implies:
% 224.92/38.51 | | | | | | | | | | | | | | | | | | (16022) op(e3, e0) = e2
% 224.92/38.51 | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (14927), (16022), (function-axioms) are
% 224.92/38.51 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2331.
% 224.92/38.51 | | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | (16023) all_57_12 = e2 & op(e0, e3) = e2
% 224.92/38.51 | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | ALPHA: (16023) implies:
% 224.92/38.51 | | | | | | | | | | | | | | | | (16024) op(e0, e3) = e2
% 224.92/38.51 | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | | REF_CLOSE: (160), (14924), (16024), (function-axioms) are
% 224.92/38.51 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1980.
% 224.92/38.51 | | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | (16025) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 224.92/38.51 | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 224.92/38.51 | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | BETA: splitting (16025) gives:
% 224.92/38.51 | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | Case 1:
% 224.92/38.51 | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | (16026) all_57_5 = e2 & op(e2, e1) = e2
% 224.92/38.51 | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | REF_CLOSE: (166), (14952), (16026), (function-axioms) are
% 224.92/38.51 | | | | | | | | | | | | | inconsistent by sub-proof #1858.
% 224.92/38.51 | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | (16027) all_57_10 = e2 & op(e2, e0) = e2
% 224.92/38.51 | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | | REF_CLOSE: (165), (14928), (16027), (function-axioms) are
% 224.92/38.51 | | | | | | | | | | | | | inconsistent by sub-proof #2432.
% 224.92/38.51 | | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | End of split
% 224.92/38.51 | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | Case 2:
% 224.92/38.51 | | | | | | | | | | |
% 224.92/38.51 | | | | | | | | | | | (16028) all_55_5 = e1 | all_55_5 = e0
% 224.92/38.52 | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | REF_CLOSE: (266), (14940), (14942), (16028) are inconsistent
% 224.92/38.52 | | | | | | | | | | | by sub-proof #1857.
% 224.92/38.52 | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | End of split
% 224.92/38.52 | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | End of split
% 224.92/38.52 | | | | | | | | |
% 224.92/38.52 | | | | | | | | Case 2:
% 224.92/38.52 | | | | | | | | |
% 224.92/38.52 | | | | | | | | | (16029) all_16_2 = e1
% 224.92/38.52 | | | | | | | | | (16030) ( ~ (all_16_0 = e0) & op(all_16_1, e2) = all_16_0 &
% 224.92/38.52 | | | | | | | | | op(e2, e1) = all_16_1 & $i(all_16_0) &
% 224.92/38.52 | | | | | | | | | $i(all_16_1)) | ( ~ (all_16_1 = e3) & op(e2, e1)
% 224.92/38.52 | | | | | | | | | = all_16_1 & $i(all_16_1))
% 224.92/38.52 | | | | | | | | |
% 224.92/38.52 | | | | | | | | | COMBINE_EQS: (324), (16029) imply:
% 224.92/38.52 | | | | | | | | | (16031) all_8_2 = e1
% 224.92/38.52 | | | | | | | | |
% 224.92/38.52 | | | | | | | | | SIMP: (16031) implies:
% 224.92/38.52 | | | | | | | | | (16032) all_8_2 = e1
% 224.92/38.52 | | | | | | | | |
% 224.92/38.52 | | | | | | | | | COMBINE_EQS: (305), (16032) imply:
% 224.92/38.52 | | | | | | | | | (16033) all_26_2 = e1
% 224.92/38.52 | | | | | | | | |
% 224.92/38.52 | | | | | | | | | REDUCE: (349), (16032) imply:
% 224.92/38.52 | | | | | | | | | (16034) ~ (all_53_1 = e1)
% 224.92/38.52 | | | | | | | | |
% 224.92/38.52 | | | | | | | | | REDUCE: (352), (16032) imply:
% 224.92/38.52 | | | | | | | | | (16035) ~ (all_53_4 = e1)
% 224.92/38.52 | | | | | | | | |
% 224.92/38.52 | | | | | | | | | REDUCE: (354), (16032) imply:
% 224.92/38.52 | | | | | | | | | (16036) ~ (all_53_6 = e1)
% 224.92/38.52 | | | | | | | | |
% 224.92/38.52 | | | | | | | | | REDUCE: (356), (16032) imply:
% 224.92/38.52 | | | | | | | | | (16037) ~ (all_53_7 = e1)
% 224.92/38.52 | | | | | | | | |
% 224.92/38.52 | | | | | | | | | REDUCE: (358), (16032) imply:
% 224.92/38.52 | | | | | | | | | (16038) ~ (all_53_9 = e1)
% 224.92/38.52 | | | | | | | | |
% 224.92/38.52 | | | | | | | | | REDUCE: (360), (16032) imply:
% 224.92/38.52 | | | | | | | | | (16039) ~ (all_53_13 = e1)
% 224.92/38.52 | | | | | | | | |
% 224.92/38.52 | | | | | | | | | REDUCE: (14937), (16032) imply:
% 224.92/38.52 | | | | | | | | | (16040) ~ (e3 = e1)
% 224.92/38.52 | | | | | | | | |
% 224.92/38.52 | | | | | | | | | BETA: splitting (223) gives:
% 224.92/38.52 | | | | | | | | |
% 224.92/38.52 | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | (16041) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 224.92/38.52 | | | | | | | | | | & op(e2, e2) = e1)
% 224.92/38.52 | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | BETA: splitting (16041) gives:
% 224.92/38.52 | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | (16042) all_57_2 = e1 & op(e2, e3) = e1
% 224.92/38.52 | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | REF_CLOSE: (168), (16034), (16042), (function-axioms) are
% 224.92/38.52 | | | | | | | | | | | inconsistent by sub-proof #2156.
% 224.92/38.52 | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | Case 2:
% 224.92/38.52 | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | (16043) all_57_3 = e1 & op(e2, e2) = e1
% 224.92/38.52 | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | ALPHA: (16043) implies:
% 224.92/38.52 | | | | | | | | | | | (16044) all_57_3 = e1
% 224.92/38.52 | | | | | | | | | | | (16045) op(e2, e2) = e1
% 224.92/38.52 | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | BETA: splitting (58) gives:
% 224.92/38.52 | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | (16046) ~ (all_18_2 = e0)
% 224.92/38.52 | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | REDUCE: (327), (16046) imply:
% 224.92/38.52 | | | | | | | | | | | | (16047) ~ (all_10_2 = e0)
% 224.92/38.52 | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | BETA: splitting (61) gives:
% 224.92/38.52 | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | (16048) ~ (all_20_2 = e2)
% 224.92/38.52 | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | REDUCE: (299), (16048) imply:
% 224.92/38.52 | | | | | | | | | | | | | (16049) ~ (all_10_2 = e2)
% 224.92/38.52 | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | BETA: splitting (205) gives:
% 224.92/38.52 | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | (16050) all_55_0 = e3
% 224.92/38.52 | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | COMBINE_EQS: (277), (16050) imply:
% 224.92/38.52 | | | | | | | | | | | | | | (16051) all_10_2 = e3
% 224.92/38.52 | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | REDUCE: (338), (16051) imply:
% 224.92/38.52 | | | | | | | | | | | | | | (16052) ~ (all_53_1 = e3)
% 224.92/38.52 | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | REDUCE: (342), (16051) imply:
% 224.92/38.52 | | | | | | | | | | | | | | (16053) ~ (all_53_3 = e3)
% 224.92/38.52 | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | REDUCE: (344), (16051) imply:
% 224.92/38.52 | | | | | | | | | | | | | | (16054) ~ (all_53_4 = e3)
% 224.92/38.52 | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | REDUCE: (346), (16051) imply:
% 224.92/38.52 | | | | | | | | | | | | | | (16055) ~ (all_53_8 = e3)
% 224.92/38.52 | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | REDUCE: (348), (16051) imply:
% 224.92/38.52 | | | | | | | | | | | | | | (16056) ~ (all_53_12 = e3)
% 224.92/38.52 | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | REDUCE: (45), (16051) imply:
% 224.92/38.52 | | | | | | | | | | | | | | (16057) op(e3, e3) = e3
% 224.92/38.52 | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 224.92/38.52 | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | (16058) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_2 = e3
% 224.92/38.52 | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 224.92/38.52 | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | BETA: splitting (16058) gives:
% 224.92/38.52 | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | (16059) all_57_0 = e3 & op(e3, e3) = e3
% 224.92/38.52 | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | ALPHA: (16059) implies:
% 224.92/38.52 | | | | | | | | | | | | | | | | (16060) all_57_0 = e3
% 224.92/38.52 | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 224.92/38.52 | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | (16061) ~ (all_24_2 = e0)
% 224.92/38.52 | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | REDUCE: (315), (16061) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | (16062) ~ (all_6_2 = e0)
% 224.92/38.52 | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 224.92/38.52 | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | (16063) ~ (all_38_2 = e2)
% 224.92/38.52 | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | REDUCE: (249), (16063) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | (16064) ~ (all_6_2 = e2)
% 224.92/38.52 | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 224.92/38.52 | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | (16065) all_55_10 = e3
% 224.92/38.52 | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (14936), (16065) are inconsistent by
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | sub-proof #2500.
% 224.92/38.52 | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | (16066) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 224.92/38.52 | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | BETA: splitting (16066) gives:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | (16067) all_55_10 = e2
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (16064), (16067) are inconsistent by
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | sub-proof #2499.
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | (16068) ~ (all_55_10 = e2)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | (16069) all_55_10 = e1 | all_55_10 = e0
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | BETA: splitting (16069) gives:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | (16070) all_55_10 = e1
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (16070) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | (16071) all_6_2 = e1
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | SIMP: (16071) implies:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | (16072) all_6_2 = e1
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (16072) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | (16073) ~ (all_53_14 = e1)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16064), (16072) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | (16074) ~ (e2 = e1)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (16072) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | (16075) op(e1, e1) = e1
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | (16076) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 =
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16076) gives:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | (16077) all_57_9 = e1 & op(e3, e0) = e1
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16077) implies:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | (16078) all_57_9 = e1
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | (16079) op(e3, e0) = e1
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (107), (111), (113), (114), (118),
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | (146), (161), (166), (168), (169), (194), (198),
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | (207), (225), (248), (258), (14927), (14928),
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | (14929), (14934), (14935), (16045), (16057),
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | (16075), (16078), (16079), (function-axioms) are
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #49.
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | (16080) all_57_10 = e1 & op(e2, e0) = e1
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (16039), (16080), (function-axioms) are
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2084.
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | (16081) (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 =
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (161), (14935), (16073), (16081),
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | #88.
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | (16082) all_55_10 = e0
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (16062), (16082) are inconsistent by
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | sub-proof #2118.
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.52 | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.52 | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.52 | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | (16083) all_38_2 = e2
% 224.92/38.52 | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (16083) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | (16084) all_6_2 = e2
% 224.92/38.52 | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | REDUCE: (361), (16084) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | (16085) ~ (all_53_6 = e2)
% 224.92/38.52 | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | REDUCE: (364), (16084) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | (16086) ~ (all_53_9 = e2)
% 224.92/38.52 | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | REDUCE: (39), (16084) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | (16087) op(e1, e1) = e2
% 224.92/38.52 | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 224.92/38.52 | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | (16088) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | BETA: splitting (16088) gives:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | (16089) all_57_2 = e2 & op(e2, e3) = e2
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | ALPHA: (16089) implies:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | (16090) op(e2, e3) = e2
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | (16091) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16091) gives:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | (16092) all_57_1 = e2 & op(e3, e2) = e2
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16092) implies:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | (16093) op(e3, e2) = e2
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_1, e2,
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (168), (16090) gives:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | (16094) all_53_1 = e2
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_4, e2,
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (171), (16093) gives:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | (16095) all_53_4 = e2
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (16094) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | (16096) ~ (all_53_9 = e2)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (16095) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | (16097) ~ (all_53_6 = e2)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (16095) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | (16098) ~ (all_53_7 = e2)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (16095) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | (16099) ~ (all_53_8 = e2)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | SIMP: (16099) implies:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | (16100) ~ (all_53_8 = e2)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | (16101) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16101) gives:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | (16102) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16102) implies:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | (16103) op(e3, e2) = all_52_3
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | (16104) op(all_52_3, all_52_3) = e2
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_52_3,
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (16093), (16103) gives:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | (16105) all_52_3 = e2
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16104), (16105) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | (16106) op(e2, e2) = e2
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16045), (16106), (function-axioms) are
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | (16107) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16045), (16090), (16107), (function-axioms)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #48.
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | (16108) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16108) gives:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | (16109) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16109) implies:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | (16110) op(e1, e1) = all_52_21
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | (16111) op(e1, e2) = all_52_19
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | (16112) op(e1, e3) = all_52_17
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | (16113) op(all_52_21, all_52_21) = e1
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | (16114) op(all_52_19, all_52_19) = e2
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | (16115) op(all_52_17, all_52_17) = e3
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | all_52_21, e1, e1, simplifying with (16087),
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | (16110) gives:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | (16116) all_52_21 = e2
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_6,
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | all_52_19, e2, e1, simplifying with (163), (16111)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | (16117) all_53_6 = all_52_19
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_2,
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | all_52_17, e3, e1, simplifying with (164), (16112)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | (16118) all_53_2 = all_52_17
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (16117) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | (16119) all_55_9 = all_52_19
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16117) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | (16120) ~ (all_53_7 = all_52_19)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16120) implies:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | (16121) ~ (all_53_7 = all_52_19)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16085), (16117) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | (16122) ~ (all_52_19 = e2)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16036), (16117) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | (16123) ~ (all_52_19 = e1)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | (16124) all_55_6 = e3
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (16124) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | (16125) all_53_9 = e3
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16125) implies:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | (16126) all_53_9 = e3
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (16126) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | (16127) ~ (all_53_13 = e3)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16127) implies:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | (16128) ~ (all_53_13 = e3)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (166), (16126) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | (16129) op(e2, e1) = e3
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (16130) (all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 =
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (16056), (16128), (16130),
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | #2300.
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (16131) (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 =
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16131) gives:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16132) all_57_11 = e3 & op(e1, e0) = e3
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16132) implies:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16133) all_57_11 = e3
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (39), (163), (195), (215), (336),
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14936), (16036), (16087), (16112), (16115),
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16133), (function-axioms) are inconsistent by
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1731.
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16134) all_57_15 = e3 & op(e0, e0) = e3
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16134) implies:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16135) all_57_15 = e3
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16136) op(e0, e0) = e3
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (70), (107),
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (163), (166), (171), (204), (207), (211),
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (217), (230), (232), (234), (270), (14936),
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16030), (16033), (16035), (16038), (16045),
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16057), (16060), (16129), (16135), (16136),
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1785.
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | (16137) all_55_6 = e2 | all_55_6 = e1 | all_55_6 = e0
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16137) gives:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (16138) all_55_6 = e2
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (16086), (16138) are inconsistent by
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2398.
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (16139) all_55_6 = e1 | all_55_6 = e0
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16139) gives:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16140) all_55_6 = e1
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (16038), (16140) are inconsistent by
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2163.
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16141) all_55_6 = e0
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (16141) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16142) all_53_9 = e0
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16142) implies:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16143) all_53_9 = e0
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (124), (16143) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16144) ~ (all_53_8 = e0)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (16143) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16145) ~ (all_53_11 = e0)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16145) implies:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16146) ~ (all_53_11 = e0)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16147) all_55_2 = e3
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (16055), (16147) are inconsistent by
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2028.
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16148) all_55_2 = e2 | all_55_2 = e1 | all_55_2 = e0
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16148) gives:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16149) all_55_2 = e2
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (16100), (16149) are inconsistent by
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2027.
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16150) all_55_2 = e1 | all_55_2 = e0
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16150) gives:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16151) all_55_2 = e1
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (16151) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16152) all_53_8 = e1
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16152) implies:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16153) all_53_8 = e1
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (16153) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16154) ~ (all_53_11 = e1)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16154) implies:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16155) ~ (all_53_11 = e1)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16156) all_55_14 = e3
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (16156) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16157) all_53_11 = e3
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (16157) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16158) ~ (all_53_7 = e3)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16159) all_55_13 = e3
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (16159) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16160) all_53_7 = e3
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16158), (16160) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16161) $false
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16161) is inconsistent.
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16162) all_55_13 = e2 | all_55_13 = e1 | all_55_13 = e0
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16162) gives:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16163) all_55_13 = e2
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (14925), (16163) are inconsistent by
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2287.
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16164) all_55_13 = e1 | all_55_13 = e0
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16164) gives:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16165) all_55_13 = e1
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (16037), (16165) are inconsistent by
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2002.
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16166) all_55_13 = e0
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (16166) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16167) all_53_7 = e0
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16167) implies:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16168) all_53_7 = e0
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16121), (16168) imply:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16169) ~ (all_52_19 = e0)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16169) implies:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16170) ~ (all_52_19 = e0)
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (196), (16057), (16114), (16119), (16122),
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16123), (16170), (function-axioms) are
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1370.
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16171) all_55_14 = e2 | all_55_14 = e1 | all_55_14 = e0
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (245), (14926), (16146), (16155), (16171) are
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1719.
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16172) all_55_2 = e0
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (16144), (16172) are inconsistent by
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2031.
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | (16173) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14935), (16045), (16173), (function-axioms)
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #50.
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | (16174) all_57_3 = e2 & op(e2, e2) = e2
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16174) implies:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | (16175) op(e2, e2) = e2
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16045), (16175), (function-axioms) are
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | (16176) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (14925), (16085), (16176),
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | #160.
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | (16177) all_57_3 = e2 & op(e2, e2) = e2
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | ALPHA: (16177) implies:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | (16178) op(e2, e2) = e2
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16045), (16178), (function-axioms) are
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | (16179) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | BETA: splitting (16179) gives:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | (16180) all_57_5 = e2 & op(e2, e1) = e2
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (16086), (16180), (function-axioms) are
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1858.
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | (16181) all_57_10 = e2 & op(e2, e0) = e2
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (14928), (16181), (function-axioms) are
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2432.
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.53 | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | End of split
% 224.92/38.53 | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | (16182) all_24_2 = e0
% 224.92/38.53 | | | | | | | | | | | | | | | | | (16183) ( ~ (all_24_0 = e2) & op(all_24_1, e1) = all_24_0
% 224.92/38.53 | | | | | | | | | | | | | | | | | & op(e1, e0) = all_24_1 & $i(all_24_0) &
% 224.92/38.53 | | | | | | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e3) & op(e1, e0)
% 224.92/38.53 | | | | | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 224.92/38.53 | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | COMBINE_EQS: (315), (16182) imply:
% 224.92/38.53 | | | | | | | | | | | | | | | | | (16184) all_6_2 = e0
% 224.92/38.53 | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | SIMP: (16184) implies:
% 224.92/38.53 | | | | | | | | | | | | | | | | | (16185) all_6_2 = e0
% 224.92/38.53 | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | COMBINE_EQS: (311), (16185) imply:
% 224.92/38.53 | | | | | | | | | | | | | | | | | (16186) all_34_2 = e0
% 224.92/38.53 | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | REDUCE: (363), (16185) imply:
% 224.92/38.53 | | | | | | | | | | | | | | | | | (16187) ~ (all_53_8 = e0)
% 224.92/38.53 | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | REDUCE: (14936), (16185) imply:
% 224.92/38.53 | | | | | | | | | | | | | | | | | (16188) ~ (e3 = e0)
% 224.92/38.53 | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | REDUCE: (39), (16185) imply:
% 224.92/38.53 | | | | | | | | | | | | | | | | | (16189) op(e1, e1) = e0
% 224.92/38.53 | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 224.92/38.53 | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.53 | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | (16190) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.92/38.53 | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.92/38.53 | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.92/38.53 | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.92/38.53 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.92/38.53 | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.92/38.53 | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.92/38.53 | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 224.92/38.53 | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 224.92/38.53 | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 224.92/38.53 | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 224.92/38.53 | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 224.92/38.53 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 224.92/38.53 | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 224.92/38.53 | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 224.92/38.53 | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | BETA: splitting (16190) gives:
% 224.92/38.53 | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | (16191) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | ALPHA: (16191) implies:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | (16192) op(e3, e0) = all_52_7
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | (16193) op(e3, e1) = all_52_5
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | (16194) op(e3, e3) = all_52_1
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | (16195) op(all_52_7, all_52_7) = e0
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | (16196) op(all_52_5, all_52_5) = e1
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | (16197) op(all_52_1, all_52_1) = e3
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_12,
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | all_52_7, e0, e3, simplifying with (169), (16192)
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | gives:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | (16198) all_53_12 = all_52_7
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_8,
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | all_52_5, e1, e3, simplifying with (170), (16193)
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | gives:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | (16199) all_53_8 = all_52_5
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (16199) imply:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | (16200) all_55_2 = all_52_5
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | REDUCE: (16055), (16199) imply:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | (16201) ~ (all_52_5 = e3)
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | REDUCE: (16187), (16199) imply:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | (16202) ~ (all_52_5 = e0)
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | (16203) ~ (all_34_2 = e0)
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | REDUCE: (16186), (16203) imply:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | (16204) $false
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | CLOSE: (16204) is inconsistent.
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | (16205) ( ~ (all_34_0 = e3) & op(all_34_1, e1) = all_34_0
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_34_1 & $i(all_34_0) &
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | $i(all_34_1)) | ( ~ (all_34_1 = e2) & op(e1, e0)
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | = all_34_1 & $i(all_34_1))
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | (16206) all_55_13 = e3
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (16206) imply:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | (16207) all_53_7 = e3
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | SIMP: (16207) implies:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | (16208) all_53_7 = e3
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16208) imply:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | (16209) ~ (all_53_6 = e3)
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | (16210) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (163), (230), (232),
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | (234), (16060), (16209), (16210),
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | #82.
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | (16211) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16211) gives:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | (16212) all_57_8 = e3 & op(e1, e1) = e3
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16212) implies:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | (16213) op(e1, e1) = e3
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (14936), (16213), (function-axioms) are
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | (16214) all_57_11 = e3 & op(e1, e0) = e3
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16214) implies:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | (16215) op(e1, e0) = e3
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (203), (16183), (16189), (16193), (16196),
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | (16200), (16201), (16202), (16205), (16215),
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | #256.
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | (16216) all_55_13 = e2 | all_55_13 = e1 | all_55_13 = e0
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16216) gives:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | (16217) all_55_13 = e2
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (14925), (16217) are inconsistent by
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2287.
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | (16218) all_55_13 = e1 | all_55_13 = e0
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | (16219) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16219) gives:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | (16220) all_57_0 = e0 & op(e3, e3) = e0
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16220) implies:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | (16221) op(e3, e3) = e0
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14935), (16194), (16197), (16221),
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | #53.
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | (16222) all_57_1 = e0 & op(e3, e2) = e0
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16222) implies:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | (16223) op(e3, e2) = e0
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (136), (171), (246), (16037), (16218), (16223),
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | #328.
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | (16224) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16224) gives:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | (16225) all_57_4 = e0 & op(e3, e1) = e0
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16225) implies:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | (16226) op(e3, e1) = e0
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (16187), (16226), (function-axioms) are
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | (16227) all_57_9 = e0 & op(e3, e0) = e0
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16227) implies:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | (16228) op(e3, e0) = e0
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14935), (16192), (16195), (16228),
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | #47.
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | (16229) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | ALPHA: (16229) implies:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | (16230) op(e2, e2) = all_52_11
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | (16231) op(all_52_11, all_52_11) = e2
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16045), (16189), (16230), (16231),
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | #1843.
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.53 | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | (16232) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 224.92/38.53 | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 224.92/38.53 | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.92/38.53 | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 224.92/38.53 | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 224.92/38.53 | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 224.92/38.53 | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 224.92/38.53 | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 224.92/38.53 | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 224.92/38.53 | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 224.92/38.53 | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.92/38.53 | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 224.92/38.53 | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 224.92/38.53 | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 224.92/38.53 | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 224.92/38.53 | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 224.92/38.53 | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | BETA: splitting (16232) gives:
% 224.92/38.53 | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | (16233) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14935), (16189), (16233), (function-axioms)
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #46.
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | (16234) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14935), (16045), (16234), (function-axioms)
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #50.
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.53 | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | End of split
% 224.92/38.53 | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | End of split
% 224.92/38.53 | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | (16235) all_57_2 = e3 & op(e2, e3) = e3
% 224.92/38.53 | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | REF_CLOSE: (168), (16052), (16235), (function-axioms) are
% 224.92/38.53 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2299.
% 224.92/38.53 | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | End of split
% 224.92/38.53 | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | (16236) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_12 =
% 224.92/38.53 | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 224.92/38.53 | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | BETA: splitting (16236) gives:
% 224.92/38.53 | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | Case 1:
% 224.92/38.53 | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | (16237) all_57_6 = e3 & op(e1, e3) = e3
% 224.92/38.53 | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | ALPHA: (16237) implies:
% 224.92/38.53 | | | | | | | | | | | | | | | | (16238) all_57_6 = e3
% 224.92/38.53 | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (171), (230),
% 224.92/38.53 | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (237), (16054),
% 224.92/38.53 | | | | | | | | | | | | | | | | (16056), (16057), (16238), (function-axioms) are
% 224.92/38.53 | | | | | | | | | | | | | | | | inconsistent by sub-proof #268.
% 224.92/38.53 | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | (16239) all_57_12 = e3 & op(e0, e3) = e3
% 224.92/38.53 | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | ALPHA: (16239) implies:
% 224.92/38.53 | | | | | | | | | | | | | | | | (16240) op(e0, e3) = e3
% 224.92/38.53 | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | REF_CLOSE: (160), (16053), (16240), (function-axioms) are
% 224.92/38.53 | | | | | | | | | | | | | | | | inconsistent by sub-proof #132.
% 224.92/38.53 | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | End of split
% 224.92/38.53 | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | End of split
% 224.92/38.53 | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | (16241) all_55_0 = e2 | all_55_0 = e1 | all_55_0 = e0
% 224.92/38.53 | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | REF_CLOSE: (277), (14938), (16047), (16049), (16241) are
% 224.92/38.53 | | | | | | | | | | | | | | inconsistent by sub-proof #1953.
% 224.92/38.53 | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | End of split
% 224.92/38.53 | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | (16242) all_20_2 = e2
% 224.92/38.53 | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | COMBINE_EQS: (299), (16242) imply:
% 224.92/38.53 | | | | | | | | | | | | | (16243) all_10_2 = e2
% 224.92/38.53 | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | SIMP: (16243) implies:
% 224.92/38.53 | | | | | | | | | | | | | (16244) all_10_2 = e2
% 224.92/38.53 | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | REDUCE: (338), (16244) imply:
% 224.92/38.53 | | | | | | | | | | | | | (16245) ~ (all_53_1 = e2)
% 224.92/38.53 | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | REDUCE: (45), (16244) imply:
% 224.92/38.53 | | | | | | | | | | | | | (16246) op(e3, e3) = e2
% 224.92/38.53 | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | BETA: splitting (228) gives:
% 224.92/38.53 | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | Case 1:
% 224.92/38.53 | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | (16247) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 224.92/38.53 | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 224.92/38.53 | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (237),
% 224.92/38.53 | | | | | | | | | | | | | | (16045), (16246), (16247), (function-axioms) are
% 224.92/38.53 | | | | | | | | | | | | | | inconsistent by sub-proof #1591.
% 224.92/38.53 | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | (16248) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 224.92/38.53 | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 224.92/38.53 | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | BETA: splitting (16248) gives:
% 224.92/38.53 | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | Case 1:
% 224.92/38.53 | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | (16249) all_57_7 = e2 & op(e1, e2) = e2
% 224.92/38.53 | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | ALPHA: (16249) implies:
% 224.92/38.53 | | | | | | | | | | | | | | | (16250) all_57_7 = e2
% 224.92/38.53 | | | | | | | | | | | | | | | (16251) op(e1, e2) = e2
% 224.92/38.53 | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 224.92/38.53 | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | Case 1:
% 224.92/38.53 | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | (16252) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 224.92/38.53 | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 224.92/38.53 | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | BETA: splitting (16252) gives:
% 224.92/38.53 | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.53 | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | (16253) all_57_2 = e2 & op(e2, e3) = e2
% 224.92/38.53 | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (16245), (16253), (function-axioms) are
% 224.92/38.53 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2504.
% 224.92/38.53 | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | (16254) all_57_3 = e2 & op(e2, e2) = e2
% 224.92/38.53 | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | ALPHA: (16254) implies:
% 224.92/38.53 | | | | | | | | | | | | | | | | | (16255) op(e2, e2) = e2
% 224.92/38.53 | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16045), (16255), (function-axioms) are
% 224.92/38.53 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 224.92/38.53 | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | End of split
% 224.92/38.53 | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | (16256) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 224.92/38.53 | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 224.92/38.53 | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | BETA: splitting (16256) gives:
% 224.92/38.53 | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.53 | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | (16257) all_57_5 = e2 & op(e2, e1) = e2
% 224.92/38.53 | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | ALPHA: (16257) implies:
% 224.92/38.53 | | | | | | | | | | | | | | | | | (16258) op(e2, e1) = e2
% 224.92/38.53 | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 224.92/38.53 | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.53 | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | (16259) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_2 = e2
% 224.92/38.53 | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 224.92/38.53 | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | BETA: splitting (16259) gives:
% 224.92/38.53 | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | (16260) all_57_0 = e2 & op(e3, e3) = e2
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_6, e2,
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (163), (16251) gives:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | (16261) all_53_6 = e2
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_9, e2,
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (166), (16258) gives:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | (16262) all_53_9 = e2
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | REDUCE: (364), (16262) imply:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | (16263) ~ (all_6_2 = e2)
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | SIMP: (16263) implies:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | (16264) ~ (all_6_2 = e2)
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (39), (107), (14935), (16045),
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | (16246), (16251), (16264), (function-axioms) are
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #44.
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | (16265) all_57_2 = e2 & op(e2, e3) = e2
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (16245), (16265), (function-axioms) are
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2504.
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.53 | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | (16266) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_12 =
% 224.92/38.53 | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 224.92/38.53 | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | BETA: splitting (16266) gives:
% 224.92/38.53 | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | (16267) all_57_6 = e2 & op(e1, e3) = e2
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | ALPHA: (16267) implies:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | (16268) all_57_6 = e2
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | (16269) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (168), (16034), (16246), (16269),
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | #1598.
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | (16270) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | BETA: splitting (16270) gives:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | (16271) all_57_6 = e1 & op(e1, e3) = e1
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16268), (16271) are inconsistent by
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | sub-proof #2389.
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | (16272) all_57_12 = e1 & op(e0, e3) = e1
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | ALPHA: (16272) implies:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | (16273) all_57_12 = e1
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | (16274) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16274) gives:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | (16275) all_57_6 = e3 & op(e1, e3) = e3
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16275) implies:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | (16276) all_57_6 = e3
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16268), (16276) are inconsistent by
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2463.
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | (16277) all_57_7 = e3 & op(e1, e2) = e3
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16277) implies:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | (16278) all_57_7 = e3
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16250), (16278) are inconsistent by
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2102.
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | (16279) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16279) gives:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | (16280) all_57_8 = e3 & op(e1, e1) = e3
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16280) implies:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | (16281) op(e1, e1) = e3
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (14936), (16281), (function-axioms) are
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | (16282) all_57_11 = e3 & op(e1, e0) = e3
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16282) implies:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | (16283) all_57_11 = e3
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | (16284) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 =
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16284) gives:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | | (16285) all_57_9 = e1 & op(e3, e0) = e1
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16285) implies:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | | (16286) all_57_9 = e1
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | | (16287) op(e3, e0) = e1
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (16288) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16288) gives:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16289) all_57_6 = e1 & op(e1, e3) = e1
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16289) implies:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16290) all_57_6 = e1
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16268), (16290) are inconsistent by
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2233.
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16291) all_57_7 = e1 & op(e1, e2) = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (16036), (16291), (function-axioms) are
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2265.
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (16292) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16292) gives:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16293) all_57_8 = e1 & op(e1, e1) = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16293) implies:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16294) op(e1, e1) = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16295) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_2 = e3
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16295) gives:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16296) all_57_0 = e3 & op(e3, e3) = e3
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16296) implies:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16297) op(e3, e3) = e3
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (107), (111), (113), (114), (118),
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (161), (166), (168), (169), (194), (198),
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (225), (248), (258), (14927), (14928),
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14929), (14934), (14935), (16045), (16286),
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16287), (16294), (16297), (function-axioms) are
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #49.
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16298) all_57_2 = e3 & op(e2, e3) = e3
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (230), (232), (16246),
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16268), (16298), (function-axioms) are
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #154.
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16299) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_12 =
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (16268), (16273), (16299) are
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1213.
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16300) all_57_11 = e1 & op(e1, e0) = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16300) implies:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16301) all_57_11 = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16283), (16301) are inconsistent by
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2218.
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | (16302) all_57_10 = e1 & op(e2, e0) = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (16039), (16302), (function-axioms) are
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2084.
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | (16303) (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 =
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16303) gives:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | (16304) all_57_11 = e1 & op(e1, e0) = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16283), (16304) are inconsistent by
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2143.
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | (16305) all_57_15 = e1 & op(e0, e0) = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16305) implies:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | (16306) op(e0, e0) = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14935), (16306), (function-axioms) are
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2177.
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | (16307) all_57_12 = e2 & op(e0, e3) = e2
% 224.92/38.54 | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | ALPHA: (16307) implies:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | (16308) op(e0, e3) = e2
% 224.92/38.54 | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (14924), (16308), (function-axioms) are
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1980.
% 224.92/38.54 | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.54 | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | (16309) all_57_10 = e2 & op(e2, e0) = e2
% 224.92/38.54 | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (14928), (16309), (function-axioms) are
% 224.92/38.54 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2432.
% 224.92/38.54 | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | Case 2:
% 224.92/38.54 | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | (16310) all_57_13 = e2 & op(e0, e2) = e2
% 224.92/38.54 | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | ALPHA: (16310) implies:
% 224.92/38.54 | | | | | | | | | | | | | | | (16311) op(e0, e2) = e2
% 224.92/38.54 | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | REF_CLOSE: (159), (14925), (16311), (function-axioms) are
% 224.92/38.54 | | | | | | | | | | | | | | | inconsistent by sub-proof #2335.
% 224.92/38.54 | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | Case 2:
% 224.92/38.54 | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | (16312) all_18_2 = e0
% 224.92/38.54 | | | | | | | | | | | | (16313) ( ~ (all_18_0 = e1) & op(all_18_1, e3) = all_18_0
% 224.92/38.54 | | | | | | | | | | | | & op(e3, e0) = all_18_1 & $i(all_18_0) &
% 224.92/38.54 | | | | | | | | | | | | $i(all_18_1)) | ( ~ (all_18_1 = e2) & op(e3, e0)
% 224.92/38.54 | | | | | | | | | | | | = all_18_1 & $i(all_18_1))
% 224.92/38.54 | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | COMBINE_EQS: (327), (16312) imply:
% 224.92/38.54 | | | | | | | | | | | | (16314) all_10_2 = e0
% 224.92/38.54 | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | SIMP: (16314) implies:
% 224.92/38.54 | | | | | | | | | | | | (16315) all_10_2 = e0
% 224.92/38.54 | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | COMBINE_EQS: (279), (16315) imply:
% 224.92/38.54 | | | | | | | | | | | | (16316) all_48_2 = e0
% 224.92/38.54 | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | REDUCE: (338), (16315) imply:
% 224.92/38.54 | | | | | | | | | | | | (16317) ~ (all_53_1 = e0)
% 224.92/38.54 | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | REDUCE: (340), (16315) imply:
% 224.92/38.54 | | | | | | | | | | | | (16318) ~ (all_53_2 = e0)
% 224.92/38.54 | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | REDUCE: (342), (16315) imply:
% 224.92/38.54 | | | | | | | | | | | | (16319) ~ (all_53_3 = e0)
% 224.92/38.54 | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | REDUCE: (344), (16315) imply:
% 224.92/38.54 | | | | | | | | | | | | (16320) ~ (all_53_4 = e0)
% 224.92/38.54 | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | REDUCE: (346), (16315) imply:
% 224.92/38.54 | | | | | | | | | | | | (16321) ~ (all_53_8 = e0)
% 224.92/38.54 | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | REDUCE: (348), (16315) imply:
% 224.92/38.54 | | | | | | | | | | | | (16322) ~ (all_53_12 = e0)
% 224.92/38.54 | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | REDUCE: (14938), (16315) imply:
% 224.92/38.54 | | | | | | | | | | | | (16323) ~ (e1 = e0)
% 224.92/38.54 | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | BETA: splitting (231) gives:
% 224.92/38.54 | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | Case 1:
% 224.92/38.54 | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | (16324) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 224.92/38.54 | | | | | | | | | | | | | & op(e3, e2) = e0)
% 224.92/38.54 | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | BETA: splitting (16324) gives:
% 224.92/38.54 | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | Case 1:
% 224.92/38.54 | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | (16325) all_57_0 = e0 & op(e3, e3) = e0
% 224.92/38.54 | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | ALPHA: (16325) implies:
% 224.92/38.54 | | | | | | | | | | | | | | (16326) all_57_0 = e0
% 224.92/38.54 | | | | | | | | | | | | | | (16327) op(e3, e3) = e0
% 224.92/38.54 | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 224.92/38.54 | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | Case 1:
% 224.92/38.54 | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | (16328) ~ (all_24_2 = e0)
% 224.92/38.54 | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | REDUCE: (315), (16328) imply:
% 224.92/38.54 | | | | | | | | | | | | | | | (16329) ~ (all_6_2 = e0)
% 224.92/38.54 | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 224.92/38.54 | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | Case 1:
% 224.92/38.54 | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | (16330) ~ (all_38_2 = e2)
% 224.92/38.54 | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | REDUCE: (249), (16330) imply:
% 224.92/38.54 | | | | | | | | | | | | | | | | (16331) ~ (all_6_2 = e2)
% 224.92/38.54 | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 224.92/38.54 | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.54 | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | (16332) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.92/38.54 | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.92/38.54 | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.92/38.54 | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.92/38.54 | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.92/38.54 | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.92/38.54 | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.92/38.54 | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 224.92/38.54 | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 224.92/38.54 | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 224.92/38.54 | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 224.92/38.54 | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 224.92/38.54 | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 224.92/38.54 | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 224.92/38.54 | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 224.92/38.54 | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | BETA: splitting (16332) gives:
% 224.92/38.54 | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.54 | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | (16333) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.92/38.54 | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.92/38.54 | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.92/38.54 | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.92/38.54 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.92/38.54 | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.92/38.54 | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.92/38.54 | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 224.92/38.54 | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | ALPHA: (16333) implies:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | (16334) op(e3, e3) = all_52_1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | (16335) op(all_52_1, all_52_1) = e3
% 224.92/38.54 | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14935), (16327), (16334), (16335),
% 224.92/38.54 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.54 | | | | | | | | | | | | | | | | | | #53.
% 224.92/38.54 | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.54 | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | (16336) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 224.92/38.54 | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 224.92/38.54 | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 224.92/38.54 | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 224.92/38.54 | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 224.92/38.54 | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 224.92/38.54 | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 224.92/38.54 | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 224.92/38.54 | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (16045), (16331), (16336), (function-axioms)
% 224.92/38.54 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #45.
% 224.92/38.54 | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.54 | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | (16337) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 224.92/38.54 | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.92/38.54 | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 224.92/38.54 | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 224.92/38.54 | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 224.92/38.54 | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 224.92/38.54 | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 224.92/38.54 | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 224.92/38.54 | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 224.92/38.54 | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.92/38.54 | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 224.92/38.54 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 224.92/38.54 | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 224.92/38.54 | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 224.92/38.54 | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 224.92/38.54 | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | BETA: splitting (16337) gives:
% 224.92/38.54 | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.54 | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | (16338) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 224.92/38.54 | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 224.92/38.54 | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.92/38.54 | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 224.92/38.54 | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 224.92/38.54 | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 224.92/38.54 | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 224.92/38.54 | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 224.92/38.54 | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | ALPHA: (16338) implies:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | (16339) op(e1, e3) = all_52_17
% 224.92/38.54 | | | | | | | | | | | | | | | | | | (16340) op(all_52_17, all_52_17) = e3
% 224.92/38.54 | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 224.92/38.54 | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | (16341) all_55_10 = e3
% 224.92/38.54 | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (14936), (16341) are inconsistent by
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | sub-proof #2500.
% 224.92/38.54 | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | (16342) ~ (all_55_10 = e3)
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | (16343) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 224.92/38.54 | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | BETA: splitting (16343) gives:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | (16344) all_55_10 = e2
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (16331), (16344) are inconsistent by
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | sub-proof #2499.
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | (16345) ~ (all_55_10 = e2)
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | (16346) all_55_10 = e1 | all_55_10 = e0
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | BETA: splitting (16346) gives:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | (16347) all_55_10 = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (16347) imply:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | (16348) all_6_2 = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | SIMP: (16348) implies:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | (16349) all_6_2 = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (16349) imply:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | (16350) ~ (all_53_2 = e1)
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16331), (16349) imply:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | (16351) ~ (e2 = e1)
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (16349) imply:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | (16352) op(e1, e1) = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | (16353) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (228), (229),
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | (16045), (16326), (16353), (function-axioms) are
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1551.
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | (16354) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16354) gives:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | (16355) all_57_4 = e1 & op(e3, e1) = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16355) implies:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | (16356) all_57_4 = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (220),
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | (221), (14936), (16329), (16352), (16356),
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | #2407.
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | (16357) all_57_9 = e1 & op(e3, e0) = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16357) implies:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | (16358) op(e3, e0) = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_2,
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | all_52_17, e3, e1, simplifying with (164), (16339)
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | (16359) all_53_2 = all_52_17
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_12,
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e3, simplifying with (169), (16358) gives:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | (16360) all_53_12 = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | (16361) ~ (all_48_2 = e0)
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16316), (16361) imply:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | (16362) $false
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16362) is inconsistent.
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | (16363) ( ~ (all_48_0 = e2) & op(all_48_1, e3) = all_48_0
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_48_1 & $i(all_48_0) &
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)) | ( ~ (all_48_1 = e1) & op(e3, e0)
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | = all_48_1 & $i(all_48_1))
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (197), (257), (16313), (16318), (16327),
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | (16339), (16340), (16350), (16358), (16363),
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | #999.
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | (16364) all_55_10 = e0
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (16329), (16364) are inconsistent by
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | sub-proof #2118.
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.54 | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | (16365) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 224.92/38.54 | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 224.92/38.54 | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.92/38.54 | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 224.92/38.54 | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 224.92/38.54 | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 224.92/38.54 | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 224.92/38.54 | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 224.92/38.54 | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | ALPHA: (16365) implies:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | (16366) op(e0, e0) = all_52_31
% 224.92/38.54 | | | | | | | | | | | | | | | | | | (16367) op(all_52_31, all_52_31) = e0
% 224.92/38.54 | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 224.92/38.54 | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | (16368) all_55_10 = e3
% 224.92/38.54 | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (14936), (16368) are inconsistent by
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | sub-proof #2500.
% 224.92/38.54 | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | (16369) ~ (all_55_10 = e3)
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | (16370) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 224.92/38.54 | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | BETA: splitting (16370) gives:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | (16371) all_55_10 = e2
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (16331), (16371) are inconsistent by
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | sub-proof #2499.
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | (16372) ~ (all_55_10 = e2)
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | (16373) all_55_10 = e1 | all_55_10 = e0
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | BETA: splitting (16373) gives:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | (16374) all_55_10 = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (16374) imply:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | (16375) all_6_2 = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | SIMP: (16375) implies:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | (16376) all_6_2 = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (16376) imply:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | (16377) ~ (all_53_11 = e1)
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16331), (16376) imply:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | (16378) ~ (e2 = e1)
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (16376) imply:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | (16379) op(e1, e1) = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | (16380) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (228), (229),
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | (16045), (16326), (16380), (function-axioms) are
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1551.
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | (16381) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16381) gives:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | (16382) all_57_4 = e1 & op(e3, e1) = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16382) implies:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | (16383) all_57_4 = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (220),
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | (221), (14936), (16329), (16379), (16383),
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | #2407.
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | (16384) all_57_9 = e1 & op(e3, e0) = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | (16385) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16385) gives:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | (16386) all_57_4 = e1 & op(e3, e1) = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16386) implies:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | (16387) all_57_4 = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (220),
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | (221), (14936), (16329), (16379), (16387),
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | #2407.
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | (16388) all_57_5 = e1 & op(e2, e1) = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (16038), (16388), (function-axioms) are
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2305.
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | (16389) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16389) gives:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16384) implies:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | (16390) op(e3, e0) = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_31, e0, e0, simplifying with (14935),
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | (16366) gives:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | (16391) all_52_31 = e2
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_12,
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e3, simplifying with (169), (16390) gives:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | (16392) all_53_12 = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16367), (16391) imply:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | (16393) op(e2, e2) = e0
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (16045), (16393), (function-axioms) are
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | (16394) all_57_14 = e1 & op(e0, e1) = e1
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (16377), (16394), (function-axioms) are
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #225.
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | (16395) all_55_10 = e0
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (16329), (16395) are inconsistent by
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | sub-proof #2118.
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | End of split
% 224.92/38.54 | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | Case 2:
% 224.92/38.54 | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | (16396) all_38_2 = e2
% 224.92/38.54 | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (16396) imply:
% 224.92/38.54 | | | | | | | | | | | | | | | | (16397) all_6_2 = e2
% 224.92/38.54 | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | REDUCE: (361), (16397) imply:
% 224.92/38.54 | | | | | | | | | | | | | | | | (16398) ~ (all_53_6 = e2)
% 224.92/38.54 | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | REDUCE: (364), (16397) imply:
% 224.92/38.54 | | | | | | | | | | | | | | | | (16399) ~ (all_53_9 = e2)
% 224.92/38.54 | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | REDUCE: (14936), (16397) imply:
% 224.92/38.54 | | | | | | | | | | | | | | | | (16400) ~ (e3 = e2)
% 224.92/38.54 | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | REDUCE: (39), (16397) imply:
% 224.92/38.54 | | | | | | | | | | | | | | | | (16401) op(e1, e1) = e2
% 224.92/38.54 | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 224.92/38.54 | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.54 | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | (16402) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 224.92/38.54 | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 224.92/38.54 | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | BETA: splitting (16402) gives:
% 224.92/38.54 | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.54 | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | (16403) all_57_2 = e2 & op(e2, e3) = e2
% 224.92/38.54 | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | ALPHA: (16403) implies:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | (16404) all_57_2 = e2
% 224.92/38.54 | | | | | | | | | | | | | | | | | | (16405) op(e2, e3) = e2
% 224.92/38.54 | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 224.92/38.54 | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | (16406) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 224.92/38.54 | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | BETA: splitting (16406) gives:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | (16407) all_57_0 = e2 & op(e3, e3) = e2
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | ALPHA: (16407) implies:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | (16408) op(e3, e3) = e2
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | (16409) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16404), (16408), (16409), (function-axioms)
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1577.
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | (16410) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16410) gives:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.54 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | (16411) all_57_6 = e0 & op(e1, e3) = e0
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16411) implies:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | (16412) all_57_6 = e0
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | (16413) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (168), (16034), (16408), (16413),
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | #1598.
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | (16414) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16414) gives:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | | (16415) all_57_6 = e1 & op(e1, e3) = e1
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16415) implies:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | | (16416) all_57_6 = e1
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16412), (16416) imply:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | | (16417) e1 = e0
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16417) implies:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | | (16418) e1 = e0
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16044), (16418) imply:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | | (16419) all_57_3 = e0
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (236), (16404), (16408), (16412),
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | | (16419), (function-axioms) are inconsistent by
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1628.
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | | (16420) all_57_12 = e1 & op(e0, e3) = e1
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16420) implies:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | | (16421) all_57_12 = e1
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (236), (16404), (16408), (16412),
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | | (16421), (function-axioms) are inconsistent by
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1630.
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | (16422) all_57_12 = e0 & op(e0, e3) = e0
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16422) implies:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | (16423) op(e0, e3) = e0
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (16319), (16423), (function-axioms) are
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2366.
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | (16424) all_57_1 = e2 & op(e3, e2) = e2
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | ALPHA: (16424) implies:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | (16425) op(e3, e2) = e2
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_1, e2,
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (168), (16405) gives:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | (16426) all_53_1 = e2
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_4, e2,
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (171), (16425) gives:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | (16427) all_53_4 = e2
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (16426) imply:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | (16428) ~ (all_53_2 = e2)
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | SIMP: (16428) implies:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | (16429) ~ (all_53_2 = e2)
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (16426) imply:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | (16430) ~ (all_53_3 = e2)
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | (16431) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16431) gives:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | (16432) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16432) implies:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | (16433) op(e3, e3) = all_52_1
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | (16434) op(all_52_1, all_52_1) = e3
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14935), (16327), (16433), (16434),
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | #53.
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | (16435) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16045), (16405), (16435), (function-axioms)
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #48.
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | (16436) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16436) gives:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | (16437) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16437) implies:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | (16438) op(e1, e0) = all_52_23
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | (16439) op(e1, e1) = all_52_21
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | (16440) op(e1, e3) = all_52_17
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | (16441) op(all_52_23, all_52_23) = e0
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | (16442) op(all_52_21, all_52_21) = e1
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | (16443) op(all_52_17, all_52_17) = e3
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_14,
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | all_52_23, e0, e1, simplifying with (161), (16438)
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | gives:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | (16444) all_53_14 = all_52_23
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | all_52_21, e1, e1, simplifying with (16401),
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | (16439) gives:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | (16445) all_52_21 = e2
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_2,
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | all_52_17, e3, e1, simplifying with (164), (16440)
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | gives:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | (16446) all_53_2 = all_52_17
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (16446) imply:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | (16447) all_55_8 = all_52_17
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (16446) imply:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | (16448) ~ (all_53_3 = all_52_17)
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | SIMP: (16448) implies:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | (16449) ~ (all_53_3 = all_52_17)
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16429), (16446) imply:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | (16450) ~ (all_52_17 = e2)
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16318), (16446) imply:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | (16451) ~ (all_52_17 = e0)
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | (16452) all_55_13 = e3
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (16452) imply:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | (16453) all_53_7 = e3
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16453) implies:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | (16454) all_53_7 = e3
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (16454) imply:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | (16455) ~ (all_53_3 = e3)
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (193), (197), (247), (14924), (16319), (16327),
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | (16443), (16447), (16449), (16450), (16451),
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | (16455), (function-axioms) are inconsistent by
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #43.
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | (16456) ~ (all_55_13 = e3)
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (246), (16456) imply:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | (16457) ~ (all_53_7 = e3)
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (39), (159), (164), (214),
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | (229), (14935), (16045), (16318), (16329),
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | (16425), (16438), (16441), (16457),
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | | #42.
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | (16458) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14935), (16045), (16458), (function-axioms)
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #50.
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.55 | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | (16459) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 224.92/38.55 | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | BETA: splitting (16459) gives:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | (16460) all_57_4 = e2 & op(e3, e1) = e2
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | ALPHA: (16460) implies:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | (16461) all_57_4 = e2
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (163), (226),
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | (228), (229), (231), (233), (237), (14925),
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | (16045), (16326), (16398), (16461),
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | #39.
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | (16462) all_57_9 = e2 & op(e3, e0) = e2
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | ALPHA: (16462) implies:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | (16463) op(e3, e0) = e2
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (14927), (16463), (function-axioms) are
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2331.
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.55 | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.55 | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.55 | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | (16464) all_57_3 = e2 & op(e2, e2) = e2
% 224.92/38.55 | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | ALPHA: (16464) implies:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | (16465) op(e2, e2) = e2
% 224.92/38.55 | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16045), (16465), (function-axioms) are
% 224.92/38.55 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 224.92/38.55 | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | End of split
% 224.92/38.55 | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.55 | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | (16466) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 224.92/38.55 | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 224.92/38.55 | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | BETA: splitting (16466) gives:
% 224.92/38.55 | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.55 | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | (16467) all_57_5 = e2 & op(e2, e1) = e2
% 224.92/38.55 | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (16399), (16467), (function-axioms) are
% 224.92/38.55 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1858.
% 224.92/38.55 | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.55 | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | (16468) all_57_10 = e2 & op(e2, e0) = e2
% 224.92/38.55 | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (14928), (16468), (function-axioms) are
% 224.92/38.55 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2432.
% 224.92/38.55 | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | End of split
% 224.92/38.55 | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | End of split
% 224.92/38.55 | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | End of split
% 224.92/38.55 | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | Case 2:
% 224.92/38.55 | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | (16469) all_24_2 = e0
% 224.92/38.55 | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | COMBINE_EQS: (315), (16469) imply:
% 224.92/38.55 | | | | | | | | | | | | | | | (16470) all_6_2 = e0
% 224.92/38.55 | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | REDUCE: (361), (16470) imply:
% 224.92/38.55 | | | | | | | | | | | | | | | (16471) ~ (all_53_6 = e0)
% 224.92/38.55 | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | REDUCE: (364), (16470) imply:
% 224.92/38.55 | | | | | | | | | | | | | | | (16472) ~ (all_53_9 = e0)
% 224.92/38.55 | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | REDUCE: (368), (16470) imply:
% 224.92/38.55 | | | | | | | | | | | | | | | (16473) ~ (all_53_14 = e0)
% 224.92/38.55 | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | REDUCE: (39), (16470) imply:
% 224.92/38.55 | | | | | | | | | | | | | | | (16474) op(e1, e1) = e0
% 224.92/38.55 | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 224.92/38.55 | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | Case 1:
% 224.92/38.55 | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | (16475) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.92/38.55 | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.92/38.55 | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.92/38.55 | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.92/38.55 | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.92/38.55 | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.92/38.55 | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.92/38.55 | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 224.92/38.55 | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 224.92/38.55 | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 224.92/38.55 | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 224.92/38.55 | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 224.92/38.55 | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 224.92/38.55 | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 224.92/38.55 | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 224.92/38.55 | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | BETA: splitting (16475) gives:
% 224.92/38.55 | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.55 | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | (16476) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.92/38.55 | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.92/38.55 | | | | | | | | | | | | | | | | | $i(all_52_7)
% 224.92/38.55 | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | ALPHA: (16476) implies:
% 224.92/38.55 | | | | | | | | | | | | | | | | | (16477) op(e3, e3) = all_52_1
% 224.92/38.55 | | | | | | | | | | | | | | | | | (16478) op(all_52_1, all_52_1) = e3
% 224.92/38.55 | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14935), (16327), (16477), (16478),
% 224.92/38.55 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.55 | | | | | | | | | | | | | | | | | #53.
% 224.92/38.55 | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.55 | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | (16479) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 224.92/38.55 | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 224.92/38.55 | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 224.92/38.55 | | | | | | | | | | | | | | | | | $i(all_52_15)
% 224.92/38.55 | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | ALPHA: (16479) implies:
% 224.92/38.55 | | | | | | | | | | | | | | | | | (16480) op(e2, e2) = all_52_11
% 224.92/38.55 | | | | | | | | | | | | | | | | | (16481) op(all_52_11, all_52_11) = e2
% 224.92/38.55 | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16045), (16474), (16480), (16481),
% 224.92/38.55 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.55 | | | | | | | | | | | | | | | | | #1843.
% 224.92/38.55 | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | End of split
% 224.92/38.55 | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | Case 2:
% 224.92/38.55 | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | (16482) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 224.92/38.55 | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 224.92/38.55 | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.92/38.55 | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 224.92/38.55 | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 224.92/38.55 | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 224.92/38.55 | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 224.92/38.55 | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 224.92/38.55 | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 224.92/38.55 | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 224.92/38.55 | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.92/38.55 | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 224.92/38.55 | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 224.92/38.55 | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 224.92/38.55 | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 224.92/38.55 | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 224.92/38.55 | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | BETA: splitting (16482) gives:
% 224.92/38.55 | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.55 | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | (16483) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.92/38.55 | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 224.92/38.55 | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 224.92/38.55 | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 224.92/38.55 | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 224.92/38.55 | | | | | | | | | | | | | | | | | $i(all_52_23)
% 224.92/38.55 | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (161), (163), (164), (214), (14935), (16318),
% 224.92/38.55 | | | | | | | | | | | | | | | | | (16471), (16473), (16483), (function-axioms) are
% 224.92/38.55 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #38.
% 224.92/38.55 | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.55 | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | (16484) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 224.92/38.55 | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.92/38.55 | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 224.92/38.55 | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 224.92/38.55 | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 224.92/38.55 | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 224.92/38.55 | | | | | | | | | | | | | | | | | $i(all_52_31)
% 224.92/38.55 | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | ALPHA: (16484) implies:
% 224.92/38.55 | | | | | | | | | | | | | | | | | (16485) op(e0, e0) = all_52_31
% 224.92/38.55 | | | | | | | | | | | | | | | | | (16486) op(all_52_31, all_52_31) = e0
% 224.92/38.55 | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 224.92/38.55 | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.55 | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | (16487) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 224.92/38.55 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 224.92/38.55 | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | BETA: splitting (16487) gives:
% 224.92/38.55 | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | (16488) all_57_2 = e0 & op(e2, e3) = e0
% 224.92/38.55 | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | ALPHA: (16488) implies:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | (16489) op(e2, e3) = e0
% 224.92/38.55 | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (16317), (16489), (function-axioms) are
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1943.
% 224.92/38.55 | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | (16490) all_57_3 = e0 & op(e2, e2) = e0
% 224.92/38.55 | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | ALPHA: (16490) implies:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | (16491) op(e2, e2) = e0
% 224.92/38.55 | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (16045), (16491), (function-axioms) are
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 224.92/38.55 | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.55 | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.55 | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | (16492) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 224.92/38.55 | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 224.92/38.55 | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | BETA: splitting (16492) gives:
% 224.92/38.55 | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | (16493) all_57_5 = e0 & op(e2, e1) = e0
% 224.92/38.55 | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (16472), (16493), (function-axioms) are
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2023.
% 224.92/38.55 | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | (16494) all_57_10 = e0 & op(e2, e0) = e0
% 224.92/38.55 | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | ALPHA: (16494) implies:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | (16495) op(e2, e0) = e0
% 224.92/38.55 | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | (16496) all_57_15 = e0 & op(e0, e0) = e0
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14934), (16496) are inconsistent by
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | sub-proof #85.
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | all_52_31, e0, e0, simplifying with (14935),
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | (16485) gives:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | (16497) all_52_31 = e2
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_13,
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | e0, e0, e2, simplifying with (165), (16495) gives:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | (16498) all_53_13 = e0
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | REDUCE: (16486), (16497) imply:
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | (16499) op(e2, e2) = e0
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (16045), (16499), (function-axioms) are
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.55 | | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.55 | | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | | End of split
% 224.92/38.55 | | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | | End of split
% 224.92/38.55 | | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | | End of split
% 224.92/38.55 | | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | End of split
% 224.92/38.55 | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | Case 2:
% 224.92/38.55 | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | (16500) all_57_1 = e0 & op(e3, e2) = e0
% 224.92/38.55 | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | ALPHA: (16500) implies:
% 224.92/38.55 | | | | | | | | | | | | | | (16501) op(e3, e2) = e0
% 224.92/38.55 | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | | REF_CLOSE: (171), (16320), (16501), (function-axioms) are
% 224.92/38.55 | | | | | | | | | | | | | | inconsistent by sub-proof #1941.
% 224.92/38.55 | | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | End of split
% 224.92/38.55 | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | Case 2:
% 224.92/38.55 | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | (16502) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 224.92/38.55 | | | | | | | | | | | | | & op(e3, e0) = e0)
% 224.92/38.55 | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | | REF_CLOSE: (169), (170), (16321), (16322), (16502),
% 224.92/38.55 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.55 | | | | | | | | | | | | | #1544.
% 224.92/38.55 | | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | | End of split
% 224.92/38.55 | | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | End of split
% 224.92/38.55 | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | End of split
% 224.92/38.55 | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | Case 2:
% 224.92/38.55 | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | (16503) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 224.92/38.55 | | | | | | | | | | e1 & op(e2, e0) = e1)
% 224.92/38.55 | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | BETA: splitting (16503) gives:
% 224.92/38.55 | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | Case 1:
% 224.92/38.55 | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | (16504) all_57_5 = e1 & op(e2, e1) = e1
% 224.92/38.55 | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | REF_CLOSE: (166), (16038), (16504), (function-axioms) are
% 224.92/38.55 | | | | | | | | | | | inconsistent by sub-proof #2305.
% 224.92/38.55 | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | Case 2:
% 224.92/38.55 | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | (16505) all_57_10 = e1 & op(e2, e0) = e1
% 224.92/38.55 | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | | REF_CLOSE: (165), (16039), (16505), (function-axioms) are
% 224.92/38.55 | | | | | | | | | | | inconsistent by sub-proof #2084.
% 224.92/38.55 | | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | End of split
% 224.92/38.55 | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | End of split
% 224.92/38.55 | | | | | | | | |
% 224.92/38.55 | | | | | | | | End of split
% 224.92/38.55 | | | | | | | |
% 224.92/38.55 | | | | | | | Case 2:
% 224.92/38.55 | | | | | | | |
% 224.92/38.55 | | | | | | | | (16506) all_14_2 = e0
% 224.92/38.55 | | | | | | | | (16507) ( ~ (all_14_0 = e1) & op(all_14_1, e2) = all_14_0 &
% 224.92/38.55 | | | | | | | | op(e2, e0) = all_14_1 & $i(all_14_0) &
% 224.92/38.55 | | | | | | | | $i(all_14_1)) | ( ~ (all_14_1 = e3) & op(e2, e0) =
% 224.92/38.55 | | | | | | | | all_14_1 & $i(all_14_1))
% 224.92/38.55 | | | | | | | |
% 224.92/38.55 | | | | | | | | COMBINE_EQS: (328), (16506) imply:
% 224.92/38.55 | | | | | | | | (16508) all_8_2 = e0
% 224.92/38.55 | | | | | | | |
% 224.92/38.55 | | | | | | | | COMBINE_EQS: (290), (16508) imply:
% 224.92/38.55 | | | | | | | | (16509) all_50_2 = e0
% 224.92/38.55 | | | | | | | |
% 224.92/38.55 | | | | | | | | REDUCE: (352), (16508) imply:
% 224.92/38.55 | | | | | | | | (16510) ~ (all_53_4 = e0)
% 224.92/38.55 | | | | | | | |
% 224.92/38.55 | | | | | | | | REDUCE: (354), (16508) imply:
% 224.92/38.55 | | | | | | | | (16511) ~ (all_53_6 = e0)
% 224.92/38.55 | | | | | | | |
% 224.92/38.55 | | | | | | | | REDUCE: (356), (16508) imply:
% 224.92/38.55 | | | | | | | | (16512) ~ (all_53_7 = e0)
% 224.92/38.55 | | | | | | | |
% 224.92/38.55 | | | | | | | | REDUCE: (358), (16508) imply:
% 224.92/38.55 | | | | | | | | (16513) ~ (all_53_9 = e0)
% 224.92/38.55 | | | | | | | |
% 224.92/38.55 | | | | | | | | REDUCE: (360), (16508) imply:
% 224.92/38.55 | | | | | | | | (16514) ~ (all_53_13 = e0)
% 224.92/38.55 | | | | | | | |
% 224.92/38.55 | | | | | | | | REDUCE: (14937), (16508) imply:
% 224.92/38.55 | | | | | | | | (16515) ~ (e3 = e0)
% 224.92/38.55 | | | | | | | |
% 224.92/38.55 | | | | | | | | BETA: splitting (226) gives:
% 224.92/38.55 | | | | | | | |
% 224.92/38.55 | | | | | | | | Case 1:
% 224.92/38.55 | | | | | | | | |
% 224.92/38.55 | | | | | | | | | (16516) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 224.92/38.55 | | | | | | | | | & op(e2, e2) = e0)
% 224.92/38.55 | | | | | | | | |
% 224.92/38.55 | | | | | | | | | BETA: splitting (16516) gives:
% 224.92/38.55 | | | | | | | | |
% 224.92/38.55 | | | | | | | | | Case 1:
% 224.92/38.55 | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | (16517) all_57_1 = e0 & op(e3, e2) = e0
% 224.92/38.55 | | | | | | | | | |
% 224.92/38.55 | | | | | | | | | | ALPHA: (16517) implies:
% 224.92/38.56 | | | | | | | | | | (16518) op(e3, e2) = e0
% 224.92/38.56 | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | REF_CLOSE: (171), (16510), (16518), (function-axioms) are
% 224.92/38.56 | | | | | | | | | | inconsistent by sub-proof #1941.
% 224.92/38.56 | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | Case 2:
% 224.92/38.56 | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | (16519) all_57_3 = e0 & op(e2, e2) = e0
% 224.92/38.56 | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | ALPHA: (16519) implies:
% 224.92/38.56 | | | | | | | | | | (16520) all_57_3 = e0
% 224.92/38.56 | | | | | | | | | | (16521) op(e2, e2) = e0
% 224.92/38.56 | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | BETA: splitting (58) gives:
% 224.92/38.56 | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | (16522) ~ (all_18_2 = e0)
% 224.92/38.56 | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | REDUCE: (327), (16522) imply:
% 224.92/38.56 | | | | | | | | | | | (16523) ~ (all_10_2 = e0)
% 224.92/38.56 | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | BETA: splitting (61) gives:
% 224.92/38.56 | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | (16524) ~ (all_20_2 = e2)
% 224.92/38.56 | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | REDUCE: (299), (16524) imply:
% 224.92/38.56 | | | | | | | | | | | | (16525) ~ (all_10_2 = e2)
% 224.92/38.56 | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | BETA: splitting (205) gives:
% 224.92/38.56 | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | (16526) all_55_0 = e3
% 224.92/38.56 | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | COMBINE_EQS: (277), (16526) imply:
% 224.92/38.56 | | | | | | | | | | | | | (16527) all_10_2 = e3
% 224.92/38.56 | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | REDUCE: (338), (16527) imply:
% 224.92/38.56 | | | | | | | | | | | | | (16528) ~ (all_53_1 = e3)
% 224.92/38.56 | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | REDUCE: (344), (16527) imply:
% 224.92/38.56 | | | | | | | | | | | | | (16529) ~ (all_53_4 = e3)
% 224.92/38.56 | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | REDUCE: (346), (16527) imply:
% 224.92/38.56 | | | | | | | | | | | | | (16530) ~ (all_53_8 = e3)
% 224.92/38.56 | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | REDUCE: (348), (16527) imply:
% 224.92/38.56 | | | | | | | | | | | | | (16531) ~ (all_53_12 = e3)
% 224.92/38.56 | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | REDUCE: (45), (16527) imply:
% 224.92/38.56 | | | | | | | | | | | | | (16532) op(e3, e3) = e3
% 224.92/38.56 | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | BETA: splitting (237) gives:
% 224.92/38.56 | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | (16533) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_1 = e3
% 224.92/38.56 | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 224.92/38.56 | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | BETA: splitting (16533) gives:
% 224.92/38.56 | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | (16534) all_57_0 = e3 & op(e3, e3) = e3
% 224.92/38.56 | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | ALPHA: (16534) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | (16535) all_57_0 = e3
% 224.92/38.56 | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 224.92/38.56 | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | (16536) ~ (all_24_2 = e0)
% 224.92/38.56 | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | REDUCE: (315), (16536) imply:
% 224.92/38.56 | | | | | | | | | | | | | | | | (16537) ~ (all_6_2 = e0)
% 224.92/38.56 | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | (16538) ~ (all_38_2 = e2)
% 224.92/38.56 | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | REDUCE: (249), (16538) imply:
% 224.92/38.56 | | | | | | | | | | | | | | | | | (16539) ~ (all_6_2 = e2)
% 224.92/38.56 | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | (16540) all_55_10 = e3
% 224.92/38.56 | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (14936), (16540) are inconsistent by
% 224.92/38.56 | | | | | | | | | | | | | | | | | | sub-proof #2500.
% 224.92/38.56 | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.56 | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | (16541) ~ (all_55_10 = e3)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | (16542) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | BETA: splitting (16542) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | (16543) all_55_10 = e2
% 224.92/38.56 | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (16539), (16543) are inconsistent by
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | sub-proof #2499.
% 224.92/38.56 | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | (16544) ~ (all_55_10 = e2)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | (16545) all_55_10 = e1 | all_55_10 = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | BETA: splitting (16545) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | (16546) all_55_10 = e1
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (16546) imply:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | (16547) all_6_2 = e1
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | SIMP: (16547) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | (16548) all_6_2 = e1
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (16548) imply:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | (16549) ~ (all_53_6 = e1)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (16548) imply:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | (16550) ~ (all_53_8 = e1)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (364), (16548) imply:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | (16551) ~ (all_53_9 = e1)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (16548) imply:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | (16552) ~ (all_53_11 = e1)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (14936), (16548) imply:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | (16553) ~ (e3 = e1)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (16539), (16548) imply:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | (16554) ~ (e2 = e1)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (16548) imply:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | (16555) op(e1, e1) = e1
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | (16556) ~ (all_50_2 = e0)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16509), (16556) imply:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | (16557) $false
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | CLOSE: (16557) is inconsistent.
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | (16558) ( ~ (all_50_0 = e3) & op(all_50_1, e2) = all_50_0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_50_1 & $i(all_50_0) &
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)) | ( ~ (all_50_1 = e1) & op(e2, e0)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | (16559) all_55_13 = e3
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (16559) imply:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | (16560) all_53_7 = e3
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | SIMP: (16560) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | (16561) all_53_7 = e3
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (16561) imply:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | (16562) ~ (all_53_11 = e3)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | SIMP: (16562) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | (16563) ~ (all_53_11 = e3)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | (16564) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 =
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16564) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | (16565) all_57_12 = e3 & op(e0, e3) = e3
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16565) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | (16566) all_57_12 = e3
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (234), (16520), (16532), (16566),
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | #2223.
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | (16567) all_57_13 = e3 & op(e0, e2) = e3
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16567) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | (16568) all_57_13 = e3
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | (16569) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16569) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (16570) all_57_6 = e3 & op(e1, e3) = e3
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16570) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (16571) all_57_6 = e3
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (230), (232), (234),
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (16535), (16571) are inconsistent by sub-proof
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | #2010.
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (16572) all_57_7 = e3 & op(e1, e2) = e3
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16572) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (16573) all_57_7 = e3
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (227), (228), (16520),
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (16521), (16568), (16573), (function-axioms) are
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2007.
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | (16574) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16574) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (16575) all_57_8 = e3 & op(e1, e1) = e3
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16575) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (16576) op(e1, e1) = e3
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16555), (16576), (function-axioms) are
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #156.
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (16577) all_57_11 = e3 & op(e1, e0) = e3
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16577) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (16578) all_57_11 = e3
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (16579) op(e1, e0) = e3
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16580) all_57_15 = e0 & op(e0, e0) = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16580) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16581) all_57_15 = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14934), (16581) are inconsistent by
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2126.
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16582) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16582) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16583) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16584) (all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 & op(e1,
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16585) all_55_14 = e3
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (245), (16563), (16585) are inconsistent by
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2294.
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16586) ~ (all_55_14 = e3)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16587) all_55_14 = e2 | all_55_14 = e1 | all_55_14 = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16587) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16588) all_55_14 = e2
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (245), (14926), (16588) are inconsistent by
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2293.
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16589) ~ (all_55_14 = e2)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16590) all_55_14 = e1 | all_55_14 = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16591) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16591) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16592) all_57_4 = e3 & op(e3, e1) = e3
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16592) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16593) all_57_4 = e3
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (235),
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16532), (16593), (function-axioms) are
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2474.
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16594) all_57_5 = e3 & op(e2, e1) = e3
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16594) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16595) all_57_5 = e3
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16596) op(e2, e1) = e3
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16597) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16597) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16598) all_57_1 = e1 & op(e3, e2) = e1
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16598) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16599) all_57_1 = e1
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16600) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (16521), (16599), (16600),
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2208.
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16601) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16601) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16602) all_57_7 = e2 & op(e1, e2) = e2
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16602) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16603) all_57_7 = e2
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16590) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16604) all_55_14 = e1
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (245), (16552), (16604) are inconsistent by
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2165.
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16605) all_55_14 = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (16605) imply:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16606) all_53_11 = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16606) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16607) all_53_11 = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (16607) imply:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16608) ~ (all_53_3 = e0)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (16607) imply:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16609) ~ (all_53_8 = e0)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14926), (16607) imply:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16610) ~ (e2 = e0)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16552), (16607) imply:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16611) ~ (e1 = e0)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16612) all_55_2 = e3
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (16530), (16612) are inconsistent by
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2028.
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16613) all_55_2 = e2 | all_55_2 = e1 | all_55_2 = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16583) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16614) all_57_12 = e0 & op(e0, e3) = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16614) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16615) op(e0, e3) = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (16608), (16615), (function-axioms) are
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2366.
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16616) (all_57_13 = e0 & op(e0, e2) = e0) | (all_57_14 =
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16616) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16617) all_57_13 = e0 & op(e0, e2) = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16617) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16618) op(e0, e2) = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (16512), (16618), (function-axioms) are
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2332.
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16619) all_57_14 = e0 & op(e0, e1) = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16619) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16620) all_57_14 = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16621) op(e0, e1) = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16622) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16622) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16623) all_57_0 = e0 & op(e3, e3) = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16623) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16624) op(e3, e3) = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (170), (218),
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (237), (16531), (16555), (16595),
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16599), (16609), (16624), (function-axioms) are
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #37.
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16625) all_57_2 = e0 & op(e2, e3) = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16625) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16626) all_57_2 = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (223), (224), (16520),
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16595), (16626) are inconsistent by sub-proof
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2253.
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16627) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16627) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16628) all_57_6 = e0 & op(e1, e3) = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16628) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16629) all_57_6 = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16630) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16630) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16631) all_57_2 = e2 & op(e2, e3) = e2
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16631) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16632) all_57_2 = e2
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16584) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16633) all_57_9 = e0 & op(e3, e0) = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16633) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16634) op(e3, e0) = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16613) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16635) all_55_2 = e2
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (16635) imply:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16636) all_53_8 = e2
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16636) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16637) all_53_8 = e2
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (124), (16637) imply:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16638) ~ (all_53_9 = e2)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16638) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16639) ~ (all_53_9 = e2)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (16637) imply:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16640) ~ (all_53_12 = e2)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16641) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16641) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16642) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16642) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16643) op(e3, e0) = all_52_7
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16644) op(all_52_7, all_52_7) = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14935), (16634), (16643), (16644),
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #47.
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16645) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16645) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16646) op(e2, e0) = all_52_15
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16647) op(all_52_15, all_52_15) = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16648) all_55_6 = e3
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (16648) imply:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16649) all_53_9 = e3
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16649) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16650) all_53_9 = e3
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (16650) imply:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16651) ~ (all_53_13 = e3)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16651) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16652) ~ (all_53_13 = e3)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16653) all_55_7 = e3
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (16652), (16653) are inconsistent by
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2109.
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16654) all_55_7 = e2 | all_55_7 = e1 | all_55_7 = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16654) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16655) all_55_7 = e2
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (14928), (16655) are inconsistent by
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2171.
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16656) all_55_7 = e1 | all_55_7 = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16656) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16657) all_55_7 = e1
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (16657) imply:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16658) all_53_13 = e1
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16658) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16659) all_53_13 = e1
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (16659) imply:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16660) ~ (all_53_12 = e1)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (16659) imply:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16661) op(e2, e0) = e1
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16662) all_55_3 = e3
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (16662) imply:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16663) all_53_12 = e3
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16531), (16663) imply:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16664) $false
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16664) is inconsistent.
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16665) all_55_3 = e2 | all_55_3 = e1 | all_55_3 = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16507) gives:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16666) ~ (all_14_0 = e1) & op(all_14_1, e2) = all_14_0 &
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_14_1 & $i(all_14_0) &
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16666) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16667) op(e2, e0) = all_14_1
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (14927), (16507), (16555), (16558),
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16646), (16647), (16660), (16661), (16665),
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16667), (function-axioms) are inconsistent by
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #36.
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16668) ~ (all_14_1 = e3) & op(e2, e0) = all_14_1 &
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16668) implies:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16669) op(e2, e0) = all_14_1
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (14927), (16507), (16555), (16558),
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16646), (16647), (16660), (16661), (16665),
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16669), (function-axioms) are inconsistent by
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #36.
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16670) all_55_7 = e0
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (16514), (16670) are inconsistent by
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2130.
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16671) all_55_6 = e2 | all_55_6 = e1 | all_55_6 = e0
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (16513), (16551), (16639), (16671) are
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2160.
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16672) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16672) gives:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16673) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16673) implies:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16674) op(e1, e0) = all_52_23
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16675) op(e1, e1) = all_52_21
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16676) op(all_52_23, all_52_23) = e0
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16677) all_55_6 = e3
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (16677) imply:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16678) all_53_9 = e3
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16678) implies:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16679) all_53_9 = e3
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (16679) imply:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16680) ~ (all_53_13 = e3)
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16680) implies:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16681) ~ (all_53_13 = e3)
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16682) all_55_7 = e3
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (16681), (16682) are inconsistent by
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2109.
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16683) ~ (all_55_7 = e3)
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16684) all_55_7 = e2 | all_55_7 = e1 | all_55_7 = e0
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16684) gives:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16685) all_55_7 = e2
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (14928), (16685) are inconsistent by
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2171.
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16686) ~ (all_55_7 = e2)
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16687) all_55_7 = e1 | all_55_7 = e0
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16687) gives:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16688) all_55_7 = e1
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (16688) imply:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16689) all_53_13 = e1
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16689) implies:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16690) all_53_13 = e1
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (16690) imply:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16691) ~ (all_53_12 = e1)
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16692) all_55_3 = e3
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (16692) imply:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16693) all_53_12 = e3
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16531), (16693) imply:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16694) $false
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16694) is inconsistent.
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16695) ~ (all_55_3 = e3)
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16696) all_55_3 = e2 | all_55_3 = e1 | all_55_3 = e0
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16696) gives:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16697) all_55_3 = e2
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (16697) imply:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16698) all_53_12 = e2
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14927), (16698) imply:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16699) $false
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16699) is inconsistent.
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16700) ~ (all_55_3 = e2)
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16701) all_55_3 = e1 | all_55_3 = e0
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16701) gives:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16702) all_55_3 = e1
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (16702) imply:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16703) all_53_12 = e1
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16691), (16703) imply:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16704) $false
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16704) is inconsistent.
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16705) all_55_3 = e0
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (16705) imply:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16706) all_53_12 = e0
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_23, e0, e1, simplifying with (16579),
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16674) gives:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16707) all_52_23 = e3
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21, e1, e1, simplifying with (16555),
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16675) gives:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16708) all_52_21 = e1
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16676), (16707) imply:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16709) op(e3, e3) = e0
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (170), (218),
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (237), (16531), (16555), (16595),
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16599), (16609), (16709), (function-axioms) are
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #37.
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16710) all_55_7 = e0
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (16514), (16710) are inconsistent by
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2130.
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16711) all_55_6 = e2 | all_55_6 = e1 | all_55_6 = e0
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (16513), (16551), (16639), (16711) are
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2160.
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16712) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16712) implies:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16713) op(e0, e0) = all_52_31
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16714) op(e0, e1) = all_52_29
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16715) op(all_52_31, all_52_31) = e0
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16716) op(all_52_29, all_52_29) = e1
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16717) all_55_6 = e3
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (16717) imply:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16718) all_53_9 = e3
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16718) implies:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16719) all_53_9 = e3
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (16719) imply:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16720) ~ (all_53_13 = e3)
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16720) implies:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16721) ~ (all_53_13 = e3)
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16722) all_55_7 = e3
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (16721), (16722) are inconsistent by
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2109.
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16723) all_55_7 = e2 | all_55_7 = e1 | all_55_7 = e0
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16723) gives:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16724) all_55_7 = e2
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (14928), (16724) are inconsistent by
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2171.
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16725) all_55_7 = e1 | all_55_7 = e0
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16725) gives:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16726) all_55_7 = e1
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (16726) imply:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16727) all_53_13 = e1
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16727) implies:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16728) all_53_13 = e1
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (16728) imply:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16729) ~ (all_53_12 = e1)
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16730) all_55_3 = e3
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (16730) imply:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16731) all_53_12 = e3
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16531), (16731) imply:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16732) $false
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16732) is inconsistent.
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16733) all_55_3 = e2 | all_55_3 = e1 | all_55_3 = e0
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (268), (14927), (16537), (16621), (16713),
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16714), (16715), (16716), (16729), (16733),
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #34.
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16734) all_55_7 = e0
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (16514), (16734) are inconsistent by
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2130.
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16735) all_55_6 = e2 | all_55_6 = e1 | all_55_6 = e0
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (16513), (16551), (16639), (16735) are
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2160.
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16736) all_55_2 = e1 | all_55_2 = e0
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (16550), (16609), (16736) are inconsistent
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2030.
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16737) (all_57_10 = e0 & op(e2, e0) = e0) | (all_57_11 =
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16737) gives:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16738) all_57_10 = e0 & op(e2, e0) = e0
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16738) implies:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16739) all_57_10 = e0
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (223), (16520), (16595), (16632),
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16739) are inconsistent by sub-proof #1530.
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16740) all_57_11 = e0 & op(e1, e0) = e0
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16740) implies:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16741) all_57_11 = e0
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (67), (88),
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (94), (107), (121), (124), (134), (135), (137),
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (166), (169), (170), (171), (195), (202),
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (204), (207), (208), (209), (211), (212),
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (215), (216), (217), (218), (219),
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (223), (224), (227), (228), (229), (230),
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (233), (234), (235), (249), (268),
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (270), (315), (332), (336), (363), (364),
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14936), (16510), (16513), (16520), (16521),
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16531), (16532), (16535), (16568), (16595),
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16596), (16741), (function-axioms) are
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1408.
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16742) all_57_3 = e2 & op(e2, e2) = e2
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16742) implies:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16743) op(e2, e2) = e2
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16521), (16743), (function-axioms) are
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2472.
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16744) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16744) gives:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16745) all_57_5 = e2 & op(e2, e1) = e2
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16745) implies:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16746) all_57_5 = e2
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16595), (16746) imply:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16747) e3 = e2
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16578), (16747) imply:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16748) all_57_11 = e2
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (39), (217), (14936), (16603), (16629),
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16748), (function-axioms) are inconsistent by
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1638.
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16749) all_57_10 = e2 & op(e2, e0) = e2
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (14928), (16749), (function-axioms) are
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2432.
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16750) all_57_12 = e0 & op(e0, e3) = e0
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16750) implies:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16751) all_57_12 = e0
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (67), (88),
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (94), (107), (121), (124), (134), (135), (137),
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (166), (169), (170), (171), (195), (202),
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (204), (207), (208), (209), (210), (211),
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (214), (215), (216), (217), (218), (219),
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (223), (224), (225), (227), (228),
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (249), (268), (269), (270), (315),
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (332), (336), (363), (364), (14935), (14936),
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16510), (16513), (16520), (16531), (16532),
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16620), (16751), (function-axioms) are
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #33.
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16752) all_57_13 = e2 & op(e0, e2) = e2
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16752) implies:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16753) op(e0, e2) = e2
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (14925), (16753), (function-axioms) are
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2335.
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16754) all_57_3 = e1 & op(e2, e2) = e1
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16754) implies:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16755) op(e2, e2) = e1
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (16521), (16755), (function-axioms) are
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16756) (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_13 =
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (163), (16549), (16568), (16756),
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2262.
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16757) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16757) gives:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16758) all_57_8 = e3 & op(e1, e1) = e3
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16758) implies:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16759) op(e1, e1) = e3
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16555), (16759), (function-axioms) are
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #156.
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16760) all_57_14 = e3 & op(e0, e1) = e3
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (16563), (16760), (function-axioms) are
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #129.
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | (16761) (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 =
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16761) gives:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | (16762) all_57_14 = e3 & op(e0, e1) = e3
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (16563), (16762), (function-axioms) are
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #129.
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | (16763) all_57_15 = e3 & op(e0, e0) = e3
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16763) implies:
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | (16764) all_57_15 = e3
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | | (16765) op(e0, e0) = e3
% 224.92/38.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (67), (88),
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | (94), (107), (121), (124), (134), (135), (137),
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | (163), (166), (169), (170), (171), (195), (202),
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | (203), (204), (207), (208), (209), (211), (212),
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (225), (227), (228), (229),
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | (237), (249), (268), (269), (270), (315), (332),
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | (336), (363), (364), (14936), (16510), (16513),
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | (16520), (16531), (16532), (16764), (16765),
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | #1415.
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | (16766) ~ (all_55_13 = e3)
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (246), (16766) imply:
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | (16767) ~ (all_53_7 = e3)
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | (16768) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 =
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16768) gives:
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | (16769) all_57_12 = e3 & op(e0, e3) = e3
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16769) implies:
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | (16770) all_57_12 = e3
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (234), (16520), (16532), (16770),
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | #2223.
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | (16771) all_57_13 = e3 & op(e0, e2) = e3
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (16767), (16771), (function-axioms) are
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #78.
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | (16772) (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 =
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16772) gives:
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | (16773) all_57_14 = e3 & op(e0, e1) = e3
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16773) implies:
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | (16774) all_57_14 = e3
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | (16775) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (171), (14937), (16529), (16775),
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | #32.
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | (16776) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16776) gives:
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (16777) all_57_7 = e3 & op(e1, e2) = e3
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16777) implies:
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (16778) all_57_7 = e3
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (16779) op(e1, e2) = e3
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16780) all_57_15 = e0 & op(e0, e0) = e0
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16780) implies:
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16781) all_57_15 = e0
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14934), (16781) are inconsistent by
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2126.
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16782) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16782) implies:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16783) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16784) (all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 & op(e1,
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16785) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16785) gives:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16786) all_57_1 = e2 & op(e3, e2) = e2
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16786) implies:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16787) all_57_1 = e2
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16788) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16788) gives:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16789) all_57_4 = e0 & op(e3, e1) = e0
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16789) implies:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16790) all_57_4 = e0
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16791) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (16521), (16787), (16791),
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2209.
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16792) (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_13 =
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16792) gives:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16793) all_57_7 = e1 & op(e1, e2) = e1
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (16549), (16793), (function-axioms) are
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2265.
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16794) all_57_13 = e1 & op(e0, e2) = e1
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16794) implies:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16795) all_57_13 = e1
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16796) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_5 = e2
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16796) gives:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16797) all_57_4 = e2 & op(e3, e1) = e2
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16797) implies:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16798) all_57_4 = e2
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16790), (16798) imply:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16799) e2 = e0
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (227), (228), (16520),
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16778), (16787), (16799) are inconsistent by
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1392.
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16800) all_57_5 = e2 & op(e2, e1) = e2
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16800) implies:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16801) all_57_5 = e2
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16802) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_7 = e2
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16802) gives:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16803) all_57_6 = e2 & op(e1, e3) = e2
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16803) implies:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16804) all_57_6 = e2
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16805) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16805) gives:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16806) all_57_6 = e0 & op(e1, e3) = e0
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16806) implies:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16807) all_57_6 = e0
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16804), (16807) imply:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16808) e2 = e0
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16787), (16808) imply:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16809) all_57_1 = e0
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (227), (228), (16520),
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16778), (16809) are inconsistent by sub-proof
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2098.
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16810) all_57_7 = e0 & op(e1, e2) = e0
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (16511), (16810), (function-axioms) are
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2039.
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16811) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16811) gives:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16812) all_57_8 = e0 & op(e1, e1) = e0
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16812) implies:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16813) op(e1, e1) = e0
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (16555), (16813), (function-axioms) are
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2427.
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16814) all_57_11 = e0 & op(e1, e0) = e0
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16814) implies:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16815) all_57_11 = e0
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16816) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16816) gives:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16817) all_57_2 = e3 & op(e2, e3) = e3
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16817) implies:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16818) all_57_2 = e3
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (207),
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (213), (221), (222), (223), (224),
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (228), (231), (233), (235), (14936),
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16520), (16531), (16532), (16778), (16815),
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16818), (function-axioms) are inconsistent by
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1329.
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16819) all_57_3 = e3 & op(e2, e2) = e3
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16819) implies:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16820) op(e2, e2) = e3
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (14937), (16820), (function-axioms) are
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #140.
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16821) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16821) gives:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16822) all_57_5 = e3 & op(e2, e1) = e3
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16822) implies:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16823) all_57_5 = e3
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16801), (16823) imply:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16824) e3 = e2
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16824) implies:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16825) e3 = e2
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16774), (16825) imply:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16826) all_57_14 = e2
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (39), (221), (14936), (16790), (16801),
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16826), (function-axioms) are inconsistent by
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2188.
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16827) all_57_10 = e3 & op(e2, e0) = e3
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16827) implies:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16828) op(e2, e0) = e3
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16829) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16829) gives:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16830) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16830) implies:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16831) op(e3, e2) = all_52_3
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16832) op(all_52_3, all_52_3) = e2
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (171), (204), (270), (16507), (16510), (16521),
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16529), (16558), (16828), (16831), (16832),
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #149.
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16833) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16833) implies:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16834) op(e2, e0) = all_52_15
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16835) op(all_52_15, all_52_15) = e0
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16507), (16532), (16558), (16828), (16834),
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16835), (function-axioms) are inconsistent by
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #148.
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16836) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16836) gives:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16837) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16837) implies:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16838) op(e1, e2) = all_52_19
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16839) op(all_52_19, all_52_19) = e2
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16558) gives:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_19, e2, e1, simplifying with (16779),
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16838) gives:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16840) all_52_19 = e3
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16839), (16840) imply:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16841) op(e3, e3) = e2
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (223), (224),
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (227), (228), (230), (231), (232), (233),
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (237), (16520), (16531), (16778),
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16804), (16841), (function-axioms) are
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #729.
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16842) ~ (all_50_1 = e1) & op(e2, e0) = all_50_1 &
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16842) implies:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16843) ~ (all_50_1 = e1)
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16844) op(e2, e0) = all_50_1
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_19, e2, e1, simplifying with (16779),
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16838) gives:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16845) all_52_19 = e3
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_50_1,
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (16828), (16844) gives:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16846) all_50_1 = e3
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16839), (16845) imply:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16847) op(e3, e3) = e2
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (223), (224),
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (227), (228), (230), (231), (232), (233),
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (237), (16520), (16531), (16778),
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16804), (16847), (function-axioms) are
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #729.
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16848) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16848) implies:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16849) op(e0, e0) = all_52_31
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16850) op(e0, e3) = all_52_25
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16851) op(all_52_25, all_52_25) = e3
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (159), (14935), (16512), (16774),
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16783), (16849), (16850), (16851),
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #29.
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16852) all_57_7 = e2 & op(e1, e2) = e2
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16852) implies:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16853) all_57_7 = e2
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16778), (16853) imply:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16854) e3 = e2
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16774), (16854) imply:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16855) all_57_14 = e2
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (39), (221), (14936), (16790), (16801),
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16855), (function-axioms) are inconsistent by
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2188.
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16856) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_11 =
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16856) gives:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16857) all_57_8 = e2 & op(e1, e1) = e2
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16857) implies:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16858) op(e1, e1) = e2
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16555), (16858), (function-axioms) are
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2423.
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16859) all_57_11 = e2 & op(e1, e0) = e2
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16859) implies:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16860) all_57_11 = e2
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16861) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16861) gives:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16862) all_57_0 = e1 & op(e3, e3) = e1
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16862) implies:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16863) op(e3, e3) = e1
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16532), (16863), (function-axioms) are
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16864) all_57_1 = e1 & op(e3, e2) = e1
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16864) implies:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16865) all_57_1 = e1
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (228), (229),
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16778), (16795), (16865), (function-axioms) are
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #291.
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16866) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16866) gives:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16867) all_57_4 = e1 & op(e3, e1) = e1
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16867) implies:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16868) all_57_4 = e1
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (220),
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (14936), (16555), (16801), (16868),
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2416.
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16869) all_57_9 = e1 & op(e3, e0) = e1
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16869) implies:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16870) all_57_9 = e1
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16784) gives:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16871) all_57_9 = e0 & op(e3, e0) = e0
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16871) implies:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16872) all_57_9 = e0
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16870), (16872) imply:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16873) e1 = e0
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16795), (16873) imply:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16874) all_57_13 = e0
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (227), (228), (231),
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (16520), (16532), (16778), (16787),
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16874), (function-axioms) are inconsistent by
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2093.
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16875) (all_57_10 = e0 & op(e2, e0) = e0) | (all_57_11 =
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16875) gives:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16876) all_57_10 = e0 & op(e2, e0) = e0
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16876) implies:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16877) op(e2, e0) = e0
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (16514), (16877), (function-axioms) are
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2470.
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16878) all_57_11 = e0 & op(e1, e0) = e0
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16878) implies:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16879) all_57_11 = e0
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16860), (16879) imply:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16880) e2 = e0
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16787), (16880) imply:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16881) all_57_1 = e0
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (227), (228), (16520),
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16778), (16881) are inconsistent by sub-proof
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2098.
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16882) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_14 =
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (16555), (16774), (16882),
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2089.
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16883) all_57_5 = e0 & op(e2, e1) = e0
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (16513), (16883), (function-axioms) are
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2023.
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16884) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (16555), (16774), (16884),
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1234.
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16885) all_57_3 = e2 & op(e2, e2) = e2
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16885) implies:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16886) op(e2, e2) = e2
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16521), (16886), (function-axioms) are
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2472.
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16887) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (159), (14925), (16778), (16887),
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #28.
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (16888) all_57_13 = e3 & op(e0, e2) = e3
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (16767), (16888), (function-axioms) are
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #78.
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | (16889) all_57_15 = e3 & op(e0, e0) = e3
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16889) implies:
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | (16890) all_57_15 = e3
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | | (16891) op(e0, e0) = e3
% 225.23/38.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (67), (88),
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | (94), (107), (121), (124), (134), (135), (137),
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | (163), (166), (169), (170), (171), (195), (202),
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | (203), (204), (207), (208), (209), (211), (212),
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | (214), (215), (216), (217), (218), (219), (220),
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (225), (227), (228), (229),
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (234), (235), (236),
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | (237), (249), (268), (269), (270), (315), (332),
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | (336), (363), (364), (14936), (16510), (16513),
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | (16520), (16531), (16532), (16890), (16891),
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | #1415.
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | (16892) all_55_10 = e0
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (16537), (16892) are inconsistent by
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | sub-proof #2118.
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.59 | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | (16893) all_38_2 = e2
% 225.23/38.59 | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (16893) imply:
% 225.23/38.59 | | | | | | | | | | | | | | | | | (16894) all_6_2 = e2
% 225.23/38.59 | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | REDUCE: (361), (16894) imply:
% 225.23/38.59 | | | | | | | | | | | | | | | | | (16895) ~ (all_53_6 = e2)
% 225.23/38.59 | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | REDUCE: (364), (16894) imply:
% 225.23/38.59 | | | | | | | | | | | | | | | | | (16896) ~ (all_53_9 = e2)
% 225.23/38.59 | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | REDUCE: (39), (16894) imply:
% 225.23/38.59 | | | | | | | | | | | | | | | | | (16897) op(e1, e1) = e2
% 225.23/38.59 | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.59 | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | (16898) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 225.23/38.59 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 225.23/38.59 | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | BETA: splitting (16898) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | (16899) all_57_2 = e2 & op(e2, e3) = e2
% 225.23/38.59 | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | ALPHA: (16899) implies:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | (16900) all_57_2 = e2
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | (16901) op(e2, e3) = e2
% 225.23/38.59 | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | (16902) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | BETA: splitting (16902) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | (16903) all_57_1 = e2 & op(e3, e2) = e2
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | ALPHA: (16903) implies:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | (16904) all_57_1 = e2
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | (16905) op(e3, e2) = e2
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_1, e2,
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (168), (16901) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | (16906) all_53_1 = e2
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_4, e2,
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (171), (16905) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | (16907) all_53_4 = e2
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (16906) imply:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | (16908) ~ (all_53_13 = e2)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (16907) imply:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | (16909) ~ (all_53_6 = e2)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (16907) imply:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | (16910) ~ (all_53_7 = e2)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (16907) imply:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | (16911) ~ (all_53_12 = e2)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16529), (16907) imply:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | (16912) ~ (e3 = e2)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | (16913) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (42), (14937), (16521), (16901), (16905),
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | (16913), (function-axioms) are inconsistent by
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | sub-proof #27.
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | (16914) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16914) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | (16915) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (16521), (16897), (16915), (function-axioms)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #26.
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | (16916) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16916) implies:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | (16917) op(e0, e0) = all_52_31
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | (16918) op(e0, e2) = all_52_27
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | (16919) op(e0, e3) = all_52_25
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | (16920) op(all_52_31, all_52_31) = e0
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | (16921) op(all_52_27, all_52_27) = e2
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | (16922) op(all_52_25, all_52_25) = e3
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | all_52_31, e0, e0, simplifying with (14935),
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | (16917) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | (16923) all_52_31 = e2
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_7,
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | all_52_27, e2, e0, simplifying with (159), (16918)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | (16924) all_53_7 = all_52_27
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_3,
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | all_52_25, e3, e0, simplifying with (160), (16919)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | (16925) all_53_3 = all_52_25
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (16924) imply:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | (16926) all_55_13 = all_52_27
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (16924) imply:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | (16927) ~ (all_53_6 = all_52_27)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14925), (16924) imply:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | (16928) ~ (all_52_27 = e2)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16512), (16924) imply:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | (16929) ~ (all_52_27 = e0)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | (16930) all_55_6 = e3
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (16930) imply:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | (16931) all_53_9 = e3
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16931) implies:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | (16932) all_53_9 = e3
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (16932) imply:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | (16933) ~ (all_53_13 = e3)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16933) implies:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | (16934) ~ (all_53_13 = e3)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | (16935) all_55_7 = e3
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (16934), (16935) are inconsistent by
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2109.
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | (16936) ~ (all_55_7 = e3)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | (16937) all_55_7 = e2 | all_55_7 = e1 | all_55_7 = e0
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16937) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (16938) all_55_7 = e2
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (14928), (16938) are inconsistent by
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2171.
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (16939) ~ (all_55_7 = e2)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (16940) all_55_7 = e1 | all_55_7 = e0
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16940) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16941) all_55_7 = e1
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (16941) imply:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16942) all_53_13 = e1
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16942) implies:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16943) all_53_13 = e1
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (16943) imply:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16944) ~ (all_53_12 = e1)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (16943) imply:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16945) ~ (all_53_14 = e1)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16945) implies:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16946) ~ (all_53_14 = e1)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16934), (16943) imply:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16947) ~ (e3 = e1)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14928), (16943) imply:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16948) ~ (e2 = e1)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16949) all_55_3 = e3
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (16531), (16949) are inconsistent by
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2169.
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16950) ~ (all_55_3 = e3)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16951) all_55_3 = e2 | all_55_3 = e1 | all_55_3 = e0
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16951) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16952) all_55_3 = e2
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (14927), (16952) are inconsistent by
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1612.
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16953) all_55_3 = e1 | all_55_3 = e0
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16953) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16954) all_55_3 = e1
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (16944), (16954) are inconsistent by
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #324.
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16955) all_55_3 = e0
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (16955) imply:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16956) all_53_12 = e0
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16956) implies:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16957) all_53_12 = e0
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (16957) imply:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16958) ~ (all_53_14 = e0)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16958) implies:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16959) ~ (all_53_14 = e0)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16960) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (16532), (16904), (16960),
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2096.
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16961) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16961) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16962) all_57_4 = e1 & op(e3, e1) = e1
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16962) implies:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16963) all_57_4 = e1
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16964) all_55_11 = e3
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (16964) imply:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16965) all_53_14 = e3
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16965) implies:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16966) all_53_14 = e3
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (16966) imply:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16967) ~ (all_53_6 = e3)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16968) all_55_9 = e3
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (16967), (16968) are inconsistent by
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2159.
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16969) all_55_9 = e2 | all_55_9 = e1 | all_55_9 = e0
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16969) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16970) all_55_9 = e2
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (16895), (16970) are inconsistent by
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2274.
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16971) all_55_9 = e1 | all_55_9 = e0
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16971) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16972) all_55_9 = e1
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (16972) imply:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16973) all_53_6 = e1
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16973) implies:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16974) all_53_6 = e1
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16927), (16974) imply:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16975) ~ (all_52_27 = e1)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16975) implies:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16976) ~ (all_52_27 = e1)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16977) all_55_13 = e3
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16926), (16977) imply:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16978) all_52_27 = e3
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16978) implies:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16979) all_52_27 = e3
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16921), (16979) imply:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16980) op(e3, e3) = e2
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (169), (237), (16531), (16904), (16963),
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16980), (function-axioms) are inconsistent by
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1308.
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16981) all_55_13 = e2 | all_55_13 = e1 | all_55_13 = e0
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16521), (16921), (16926), (16929), (16976),
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16981), (function-axioms) are inconsistent by
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1614.
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16982) all_55_9 = e0
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (16511), (16982) are inconsistent by
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2272.
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16983) all_55_11 = e2 | all_55_11 = e1 | all_55_11 = e0
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (14929), (16946), (16959), (16983) are
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2133.
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16984) all_57_9 = e1 & op(e3, e0) = e1
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (16944), (16984), (function-axioms) are
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2131.
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16985) all_55_7 = e0
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (16514), (16985) are inconsistent by
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2130.
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | (16986) ~ (all_55_6 = e3)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (259), (16986) imply:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | (16987) ~ (all_53_9 = e3)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | (16988) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (168), (14937), (16528), (16988),
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | #111.
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | (16989) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16989) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (16990) all_57_5 = e3 & op(e2, e1) = e3
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (16987), (16990), (function-axioms) are
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #270.
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (16991) all_57_10 = e3 & op(e2, e0) = e3
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16991) implies:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (16992) all_57_10 = e3
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16993) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16993) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16994) all_57_4 = e3 & op(e3, e1) = e3
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16994) implies:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16995) all_57_4 = e3
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (235),
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16532), (16995), (function-axioms) are
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2474.
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16996) all_57_5 = e3 & op(e2, e1) = e3
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16996) implies:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16997) all_57_5 = e3
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (223), (16520), (16900), (16992),
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16997) are inconsistent by sub-proof #1694.
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16998) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16998) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16999) all_57_8 = e3 & op(e1, e1) = e3
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16999) implies:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17000) op(e1, e1) = e3
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (14936), (17000), (function-axioms) are
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17001) all_57_14 = e3 & op(e0, e1) = e3
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17001) implies:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17002) all_57_14 = e3
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17003) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17003) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17004) all_57_4 = e0 & op(e3, e1) = e0
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17004) implies:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17005) all_57_4 = e0
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17006) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17006) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17007) all_57_4 = e1 & op(e3, e1) = e1
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17007) implies:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17008) all_57_4 = e1
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (17005), (17008) are inconsistent by
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2438.
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17009) all_57_5 = e1 & op(e2, e1) = e1
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17009) implies:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17010) all_57_5 = e1
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17011) all_57_15 = e0 & op(e0, e0) = e0
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17011) implies:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17012) all_57_15 = e0
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14934), (17012) imply:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17013) e2 = e0
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17013) implies:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17014) e2 = e0
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16900), (17014) imply:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17015) all_57_2 = e0
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (224), (16520), (16992), (17010),
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17015) are inconsistent by sub-proof #2249.
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17016) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17016) implies:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17017) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (159), (14935), (16512), (16917),
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16919), (16922), (17002), (17017),
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #29.
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17018) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17018) gives:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17019) all_57_8 = e1 & op(e1, e1) = e1
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17019) implies:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17020) op(e1, e1) = e1
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16897), (17020), (function-axioms) are
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2423.
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17021) all_57_14 = e1 & op(e0, e1) = e1
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17021) implies:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17022) all_57_14 = e1
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (221), (223),
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (231), (233), (235), (14936), (16520),
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16532), (16992), (17022), (function-axioms) are
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1692.
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17023) all_57_5 = e0 & op(e2, e1) = e0
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17023) implies:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17024) all_57_5 = e0
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16520), (16521), (16992), (17024),
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2348.
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17025) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (39), (16537), (17002), (17025),
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1717.
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | (17026) all_57_3 = e2 & op(e2, e2) = e2
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | ALPHA: (17026) implies:
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | (17027) op(e2, e2) = e2
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.59 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16521), (17027), (function-axioms) are
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2472.
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | (17028) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (14925), (16895), (17028),
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | #160.
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.60 | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | (17029) all_57_3 = e2 & op(e2, e2) = e2
% 225.23/38.60 | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | ALPHA: (17029) implies:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | (17030) op(e2, e2) = e2
% 225.23/38.60 | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16521), (17030), (function-axioms) are
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2472.
% 225.23/38.60 | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.60 | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.60 | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | (17031) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 225.23/38.60 | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 225.23/38.60 | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | BETA: splitting (17031) gives:
% 225.23/38.60 | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | (17032) all_57_5 = e2 & op(e2, e1) = e2
% 225.23/38.60 | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (16896), (17032), (function-axioms) are
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1858.
% 225.23/38.60 | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | (17033) all_57_10 = e2 & op(e2, e0) = e2
% 225.23/38.60 | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (14928), (17033), (function-axioms) are
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2432.
% 225.23/38.60 | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.60 | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | End of split
% 225.23/38.60 | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | End of split
% 225.23/38.60 | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | Case 2:
% 225.23/38.60 | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | (17034) all_24_2 = e0
% 225.23/38.60 | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | COMBINE_EQS: (315), (17034) imply:
% 225.23/38.60 | | | | | | | | | | | | | | | | (17035) all_6_2 = e0
% 225.23/38.60 | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | SIMP: (17035) implies:
% 225.23/38.60 | | | | | | | | | | | | | | | | (17036) all_6_2 = e0
% 225.23/38.60 | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | REDUCE: (350), (17036) imply:
% 225.23/38.60 | | | | | | | | | | | | | | | | (17037) ~ (all_53_2 = e0)
% 225.23/38.60 | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | REDUCE: (363), (17036) imply:
% 225.23/38.60 | | | | | | | | | | | | | | | | (17038) ~ (all_53_8 = e0)
% 225.23/38.60 | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 225.23/38.60 | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.60 | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | (17039) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 225.23/38.60 | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 225.23/38.60 | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 225.23/38.60 | | | | | | | | | | | | | | | | | (16520), (16532), (17039), (function-axioms) are
% 225.23/38.60 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2229.
% 225.23/38.60 | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.60 | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | (17040) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 225.23/38.60 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 225.23/38.60 | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | BETA: splitting (17040) gives:
% 225.23/38.60 | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.60 | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | (17041) all_57_6 = e0 & op(e1, e3) = e0
% 225.23/38.60 | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | ALPHA: (17041) implies:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | (17042) op(e1, e3) = e0
% 225.23/38.60 | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (17037), (17042), (function-axioms) are
% 225.23/38.60 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2154.
% 225.23/38.60 | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.60 | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | (17043) all_57_12 = e0 & op(e0, e3) = e0
% 225.23/38.60 | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | ALPHA: (17043) implies:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | (17044) all_57_12 = e0
% 225.23/38.60 | | | | | | | | | | | | | | | | | | (17045) op(e0, e3) = e0
% 225.23/38.60 | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 225.23/38.60 | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | (17046) all_57_15 = e0 & op(e0, e0) = e0
% 225.23/38.60 | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14934), (17046) are inconsistent by
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | sub-proof #85.
% 225.23/38.60 | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | (17047) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 225.23/38.60 | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | ALPHA: (17047) implies:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | (17048) (all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 & op(e1,
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | e0) = e0)
% 225.23/38.60 | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | (17049) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (170), (16513), (17038), (17049),
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | #141.
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | (17050) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | BETA: splitting (17050) gives:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | (17051) all_57_8 = e0 & op(e1, e1) = e0
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | ALPHA: (17051) implies:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | (17052) all_57_8 = e0
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | (17053) op(e1, e1) = e0
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17048) gives:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | (17054) all_57_9 = e0 & op(e3, e0) = e0
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17054) implies:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | (17055) all_57_9 = e0
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | (17056) op(e3, e0) = e0
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_3, e0,
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (160), (17045) gives:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | (17057) all_53_3 = e0
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_12,
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | e0, e0, e3, simplifying with (169), (17056) gives:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | (17058) all_53_12 = e0
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (17057) imply:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | (17059) ~ (all_53_7 = e0)
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (17057) imply:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | (17060) ~ (all_53_11 = e0)
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | SIMP: (17060) implies:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | (17061) ~ (all_53_11 = e0)
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14927), (17058) imply:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | (17062) ~ (e2 = e0)
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | (17063) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17063) gives:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | (17064) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17064) implies:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | (17065) op(e3, e0) = all_52_7
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | (17066) op(all_52_7, all_52_7) = e0
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14935), (17056), (17065), (17066),
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | #47.
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | (17067) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17067) implies:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | (17068) op(e2, e0) = all_52_15
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | (17069) op(e2, e1) = all_52_13
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | (17070) op(e2, e2) = all_52_11
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | (17071) op(all_52_15, all_52_15) = e0
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | (17072) op(all_52_13, all_52_13) = e1
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | (17073) op(all_52_11, all_52_11) = e2
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_13,
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | all_52_15, e0, e2, simplifying with (165), (17068)
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | (17074) all_53_13 = all_52_15
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_9,
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | all_52_13, e1, e2, simplifying with (166), (17069)
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | (17075) all_53_9 = all_52_13
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | all_52_11, e2, e2, simplifying with (16521),
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | (17070) gives:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | (17076) all_52_11 = e0
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (17075) imply:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | (17077) all_55_6 = all_52_13
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (124), (17075) imply:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | (17078) ~ (all_53_8 = all_52_13)
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (17075) imply:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | (17079) ~ (all_53_11 = all_52_13)
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17079) implies:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | (17080) ~ (all_53_11 = all_52_13)
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16513), (17075) imply:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | (17081) ~ (all_52_13 = e0)
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | (17082) ~ (all_50_2 = e0)
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16509), (17082) imply:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | (17083) $false
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17083) is inconsistent.
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | (17084) ( ~ (all_50_0 = e3) & op(all_50_1, e2) = all_50_0
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_50_1 & $i(all_50_0) &
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)) | ( ~ (all_50_1 = e1) & op(e2, e0)
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (17085) all_55_13 = e3
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (17085) imply:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (17086) all_53_7 = e3
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17086) implies:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (17087) all_53_7 = e3
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (17087) imply:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (17088) ~ (all_53_11 = e3)
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17088) implies:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (17089) ~ (all_53_11 = e3)
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17090) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (171), (14937), (16529), (17090),
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | #32.
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17091) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17091) gives:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17092) all_57_7 = e3 & op(e1, e2) = e3
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17092) implies:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17093) all_57_7 = e3
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (67),
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (88), (94), (107), (121), (124), (134), (135),
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (159), (163), (166), (168), (169), (170),
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (171), (195), (202), (203), (204), (207), (208),
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (211), (212), (213), (214), (215),
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (223),
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (227), (228), (229), (230), (231),
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (249),
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (268), (269), (270), (315), (332), (336), (363),
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (364), (14925), (14936), (14937), (16507),
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16510), (16513), (16520), (16521), (16528),
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16531), (16532), (16535), (17044), (17052),
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17055), (17056), (17068), (17071), (17084),
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17093), (function-axioms) are inconsistent by
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #25.
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17094) all_57_13 = e3 & op(e0, e2) = e3
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17094) implies:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17095) all_57_13 = e3
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17096) (all_57_12 = e1 & op(e0, e3) = e1) | (all_57_13 =
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (17044), (17095), (17096) are
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2216.
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17097) (all_57_14 = e1 & op(e0, e1) = e1) | (all_57_15 =
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17097) gives:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17098) all_57_14 = e1 & op(e0, e1) = e1
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17098) implies:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17099) all_57_14 = e1
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17100) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17100) gives:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17101) all_57_4 = e3 & op(e3, e1) = e3
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17101) implies:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17102) all_57_4 = e3
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (235),
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16532), (17102), (function-axioms) are
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2474.
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17103) all_57_5 = e3 & op(e2, e1) = e3
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17103) implies:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17104) all_57_5 = e3
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17105) all_55_14 = e3
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (245), (17089), (17105) are inconsistent by
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2294.
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17106) all_55_14 = e2 | all_55_14 = e1 | all_55_14 = e0
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17107) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_5 = e2
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17107) gives:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17108) all_57_4 = e2 & op(e3, e1) = e2
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17108) implies:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17109) all_57_4 = e2
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17106) gives:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17110) all_55_14 = e2
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (17110) imply:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17111) all_53_11 = e2
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14926), (17111) imply:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17112) $false
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17112) is inconsistent.
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17113) all_55_14 = e1 | all_55_14 = e0
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17114) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17114) gives:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17115) all_57_0 = e1 & op(e3, e3) = e1
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17115) implies:
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17116) op(e3, e3) = e1
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16532), (17116), (function-axioms) are
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2495.
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17117) all_57_1 = e1 & op(e3, e2) = e1
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17117) implies:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17118) all_57_1 = e1
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17113) gives:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17119) all_55_14 = e1
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (17119) imply:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17120) all_53_11 = e1
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17120) implies:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17121) all_53_11 = e1
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (17121) imply:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17122) ~ (all_53_8 = e1)
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17080), (17121) imply:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17123) ~ (all_52_13 = e1)
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17123) implies:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17124) ~ (all_52_13 = e1)
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17125) all_55_2 = e3
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (16530), (17125) are inconsistent by
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2028.
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17126) all_55_2 = e2 | all_55_2 = e1 | all_55_2 = e0
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17126) gives:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17127) all_55_2 = e2
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (17127) imply:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17128) all_53_8 = e2
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17128) implies:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17129) all_53_8 = e2
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17078), (17129) imply:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17130) ~ (all_52_13 = e2)
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17130) implies:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17131) ~ (all_52_13 = e2)
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17132) all_55_6 = e3
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17077), (17132) imply:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17133) all_52_13 = e3
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17133) implies:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17134) all_52_13 = e3
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17072), (17134) imply:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17135) op(e3, e3) = e1
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (235), (237), (17055),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17118), (17135), (function-axioms) are
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #295.
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17136) all_55_6 = e2 | all_55_6 = e1 | all_55_6 = e0
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17077), (17081), (17124), (17131), (17136) are
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #68.
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17137) all_55_2 = e1 | all_55_2 = e0
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (17038), (17122), (17137) are inconsistent
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2030.
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17138) all_55_14 = e0
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (245), (17061), (17138) are inconsistent by
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2288.
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17139) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17139) gives:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17140) all_57_4 = e1 & op(e3, e1) = e1
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17109), (17140) are inconsistent by
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2452.
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17141) all_57_9 = e1 & op(e3, e0) = e1
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17141) implies:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17142) all_57_9 = e1
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17055), (17142) imply:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17143) e1 = e0
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17099), (17143) imply:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17144) all_57_14 = e0
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (67), (88),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (94), (107), (121), (124), (134), (135), (137),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (166), (169), (170), (171), (195), (202),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (204), (207), (208), (209), (210), (211),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (214), (215), (216), (217), (218), (219),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (223), (224), (225), (227), (228),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (249), (268), (269), (270), (315),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (332), (336), (363), (364), (14935), (14936),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16510), (16513), (16520), (16531), (16532),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17044), (17144), (function-axioms) are
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #33.
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17145) all_57_5 = e2 & op(e2, e1) = e2
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17145) implies:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17146) all_57_5 = e2
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (17104), (17146) are inconsistent by
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2189.
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17147) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_14 =
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (17052), (17099), (17147) are
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1188.
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17148) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (158), (14936), (17089), (17148),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #63.
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17149) all_57_15 = e1 & op(e0, e0) = e1
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17149) implies:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17150) op(e0, e0) = e1
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (160), (208), (209),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (14924), (16521), (17044), (17070),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17073), (17150), (function-axioms) are
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1228.
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (17151) ~ (all_55_13 = e3)
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (246), (17151) imply:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (17152) ~ (all_53_7 = e3)
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17153) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (171), (14937), (16529), (17153),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | #32.
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17154) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17154) gives:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17155) all_57_7 = e3 & op(e1, e2) = e3
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17155) implies:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17156) all_57_7 = e3
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (42), (67),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (88), (94), (107), (121), (124), (134), (135),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (137), (159), (163), (166), (168), (169), (170),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (171), (195), (202), (203), (204), (207), (208),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (211), (212), (213), (214), (215),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (223),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (227), (228), (229), (230), (231),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (249),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (268), (269), (270), (315), (332), (336), (363),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (364), (14925), (14936), (14937), (16507),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16510), (16513), (16520), (16521), (16528),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16531), (16532), (16535), (17044), (17052),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17055), (17056), (17068), (17071), (17084),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17156), (function-axioms) are inconsistent by
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #25.
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17157) all_57_13 = e3 & op(e0, e2) = e3
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (17152), (17157), (function-axioms) are
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #78.
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | (17158) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17158) gives:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | (17159) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14935), (17053), (17159), (function-axioms)
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #46.
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | (17160) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17160) implies:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | (17161) op(e0, e0) = all_52_31
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | (17162) op(e0, e3) = all_52_25
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | (17163) op(all_52_25, all_52_25) = e3
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14935), (17045), (17161), (17162), (17163),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | | #31.
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | (17164) (all_57_10 = e0 & op(e2, e0) = e0) | (all_57_11 =
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17164) gives:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | (17165) all_57_10 = e0 & op(e2, e0) = e0
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17165) implies:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | (17166) op(e2, e0) = e0
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (16514), (17166), (function-axioms) are
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2470.
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | (17167) all_57_11 = e0 & op(e1, e0) = e0
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17167) implies:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | (17168) all_57_11 = e0
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (45), (67),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | (88), (94), (107), (121), (124), (134), (135),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | (137), (163), (164), (166), (169), (170), (171),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | (195), (202), (203), (204), (205), (207), (208),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (211), (212), (213), (214), (215),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (223),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (227), (228), (229), (230), (231),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (234), (235), (236), (237), (249),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | (268), (269), (270), (277), (315), (332), (336),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | (348), (363), (364), (14936), (14938), (16510),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | (16513), (16520), (16521), (16523), (16525),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | (16531), (16532), (16535), (17037), (17038),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | (17053), (17168), (function-axioms) are
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1294.
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | (17169) all_57_14 = e0 & op(e0, e1) = e0
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | ALPHA: (17169) implies:
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | (17170) all_57_14 = e0
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (67), (88),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | (94), (107), (121), (124), (134), (135), (137),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | (163), (166), (169), (170), (171), (195), (202),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | (203), (204), (207), (208), (209), (210), (211),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | (212), (214), (215), (216), (217), (218), (219),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | (220), (221), (223), (224), (225), (227), (228),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | (236), (237), (249), (268), (269), (270), (315),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | (332), (336), (363), (364), (14935), (14936),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | (16510), (16513), (16520), (16531), (16532),
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | (17044), (17170), (function-axioms) are
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #33.
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | Case 2:
% 225.23/38.61 | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | (17171) all_57_1 = e3 & op(e3, e2) = e3
% 225.23/38.61 | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | | REF_CLOSE: (171), (16529), (17171), (function-axioms) are
% 225.23/38.61 | | | | | | | | | | | | | | | inconsistent by sub-proof #2286.
% 225.23/38.61 | | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | Case 2:
% 225.23/38.61 | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | (17172) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_9 = e3
% 225.23/38.61 | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 225.23/38.61 | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (231), (233),
% 225.23/38.61 | | | | | | | | | | | | | | (235), (16531), (16532), (17172),
% 225.23/38.61 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.61 | | | | | | | | | | | | | | #1955.
% 225.23/38.61 | | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | Case 2:
% 225.23/38.61 | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | (17173) all_55_0 = e2 | all_55_0 = e1 | all_55_0 = e0
% 225.23/38.61 | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | REF_CLOSE: (277), (14938), (16523), (16525), (17173) are
% 225.23/38.61 | | | | | | | | | | | | | inconsistent by sub-proof #1953.
% 225.23/38.61 | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | End of split
% 225.23/38.61 | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | Case 2:
% 225.23/38.61 | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | (17174) all_20_2 = e2
% 225.23/38.61 | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | COMBINE_EQS: (299), (17174) imply:
% 225.23/38.61 | | | | | | | | | | | | (17175) all_10_2 = e2
% 225.23/38.61 | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | SIMP: (17175) implies:
% 225.23/38.61 | | | | | | | | | | | | (17176) all_10_2 = e2
% 225.23/38.61 | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | REDUCE: (338), (17176) imply:
% 225.23/38.61 | | | | | | | | | | | | (17177) ~ (all_53_1 = e2)
% 225.23/38.61 | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | REDUCE: (45), (17176) imply:
% 225.23/38.61 | | | | | | | | | | | | (17178) op(e3, e3) = e2
% 225.23/38.61 | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | BETA: splitting (228) gives:
% 225.23/38.61 | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | Case 1:
% 225.23/38.61 | | | | | | | | | | | | |
% 225.23/38.61 | | | | | | | | | | | | | (17179) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 225.23/38.61 | | | | | | | | | | | | | & op(e2, e2) = e2)
% 225.23/38.62 | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (237),
% 225.23/38.62 | | | | | | | | | | | | | (16521), (17178), (17179), (function-axioms) are
% 225.23/38.62 | | | | | | | | | | | | | inconsistent by sub-proof #1297.
% 225.23/38.62 | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | Case 2:
% 225.23/38.62 | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | (17180) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 225.23/38.62 | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 225.23/38.62 | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | BETA: splitting (17180) gives:
% 225.23/38.62 | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | Case 1:
% 225.23/38.62 | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | (17181) all_57_7 = e2 & op(e1, e2) = e2
% 225.23/38.62 | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | ALPHA: (17181) implies:
% 225.23/38.62 | | | | | | | | | | | | | | (17182) op(e1, e2) = e2
% 225.23/38.62 | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 225.23/38.62 | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | Case 1:
% 225.23/38.62 | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | (17183) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 225.23/38.62 | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 225.23/38.62 | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | BETA: splitting (17183) gives:
% 225.23/38.62 | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | Case 1:
% 225.23/38.62 | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | (17184) all_57_2 = e2 & op(e2, e3) = e2
% 225.23/38.62 | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | REF_CLOSE: (168), (17177), (17184), (function-axioms) are
% 225.23/38.62 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2504.
% 225.23/38.62 | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | Case 2:
% 225.23/38.62 | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | (17185) all_57_3 = e2 & op(e2, e2) = e2
% 225.23/38.62 | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | ALPHA: (17185) implies:
% 225.23/38.62 | | | | | | | | | | | | | | | | (17186) op(e2, e2) = e2
% 225.23/38.62 | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16521), (17186), (function-axioms) are
% 225.23/38.62 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2472.
% 225.23/38.62 | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | End of split
% 225.23/38.62 | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | Case 2:
% 225.23/38.62 | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | (17187) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 225.23/38.62 | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 225.23/38.62 | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | BETA: splitting (17187) gives:
% 225.23/38.62 | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | Case 1:
% 225.23/38.62 | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | (17188) all_57_5 = e2 & op(e2, e1) = e2
% 225.23/38.62 | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | ALPHA: (17188) implies:
% 225.23/38.62 | | | | | | | | | | | | | | | | (17189) op(e2, e1) = e2
% 225.23/38.62 | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_6, e2,
% 225.23/38.62 | | | | | | | | | | | | | | | | e2, e1, simplifying with (163), (17182) gives:
% 225.23/38.62 | | | | | | | | | | | | | | | | (17190) all_53_6 = e2
% 225.23/38.62 | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_9, e2,
% 225.23/38.62 | | | | | | | | | | | | | | | | e1, e2, simplifying with (166), (17189) gives:
% 225.23/38.62 | | | | | | | | | | | | | | | | (17191) all_53_9 = e2
% 225.23/38.62 | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | REDUCE: (137), (17190) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | (17192) ~ (all_53_4 = e2)
% 225.23/38.62 | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | REDUCE: (124), (17191) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | (17193) ~ (all_53_8 = e2)
% 225.23/38.62 | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | REDUCE: (119), (17191) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | (17194) ~ (all_53_11 = e2)
% 225.23/38.62 | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | REDUCE: (364), (17191) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | (17195) ~ (all_6_2 = e2)
% 225.23/38.62 | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | SIMP: (17195) implies:
% 225.23/38.62 | | | | | | | | | | | | | | | | (17196) ~ (all_6_2 = e2)
% 225.23/38.62 | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 225.23/38.62 | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.62 | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | (17197) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 225.23/38.62 | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 225.23/38.62 | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 225.23/38.62 | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 225.23/38.62 | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 225.23/38.62 | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 225.23/38.62 | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 225.23/38.62 | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 225.23/38.62 | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 225.23/38.62 | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 225.23/38.62 | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 225.23/38.62 | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 225.23/38.62 | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 225.23/38.62 | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 225.23/38.62 | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 225.23/38.62 | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | BETA: splitting (17197) gives:
% 225.23/38.62 | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17198) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 225.23/38.62 | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 225.23/38.62 | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 225.23/38.62 | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 225.23/38.62 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 225.23/38.62 | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 225.23/38.62 | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 225.23/38.62 | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | ALPHA: (17198) implies:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17199) op(e3, e3) = all_52_1
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17200) op(all_52_1, all_52_1) = e3
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16521), (17178), (17199), (17200),
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.62 | | | | | | | | | | | | | | | | | | #1653.
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17201) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 225.23/38.62 | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 225.23/38.62 | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 225.23/38.62 | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 225.23/38.62 | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 225.23/38.62 | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 225.23/38.62 | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 225.23/38.62 | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | ALPHA: (17201) implies:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17202) op(e2, e1) = all_52_13
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17203) op(e2, e2) = all_52_11
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17204) op(all_52_13, all_52_13) = e1
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 225.23/38.62 | | | | | | | | | | | | | | | | | | all_52_13, e1, e2, simplifying with (17189),
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17202) gives:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17205) all_52_13 = e2
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 225.23/38.62 | | | | | | | | | | | | | | | | | | all_52_11, e2, e2, simplifying with (16521),
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17203) gives:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17206) all_52_11 = e0
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | REDUCE: (17204), (17205) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17207) op(e2, e2) = e1
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (16521), (17207), (function-axioms) are
% 225.23/38.62 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | End of split
% 225.23/38.62 | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.62 | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | (17208) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 225.23/38.62 | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 225.23/38.62 | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 225.23/38.62 | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 225.23/38.62 | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 225.23/38.62 | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 225.23/38.62 | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 225.23/38.62 | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 225.23/38.62 | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 225.23/38.62 | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 225.23/38.62 | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 225.23/38.62 | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 225.23/38.62 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 225.23/38.62 | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 225.23/38.62 | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 225.23/38.62 | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 225.23/38.62 | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | BETA: splitting (17208) gives:
% 225.23/38.62 | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17209) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 225.23/38.62 | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 225.23/38.62 | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 225.23/38.62 | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 225.23/38.62 | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 225.23/38.62 | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 225.23/38.62 | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 225.23/38.62 | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | ALPHA: (17209) implies:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17210) op(e1, e2) = all_52_19
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17211) op(all_52_19, all_52_19) = e2
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 225.23/38.62 | | | | | | | | | | | | | | | | | | all_52_19, e2, e1, simplifying with (17182),
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17210) gives:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17212) all_52_19 = e2
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | REDUCE: (17211), (17212) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17213) op(e2, e2) = e2
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16521), (17213), (function-axioms) are
% 225.23/38.62 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2472.
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17214) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 225.23/38.62 | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 225.23/38.62 | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 225.23/38.62 | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 225.23/38.62 | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 225.23/38.62 | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 225.23/38.62 | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 225.23/38.62 | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | ALPHA: (17214) implies:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17215) op(e0, e0) = all_52_31
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17216) op(e0, e1) = all_52_29
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17217) op(e0, e2) = all_52_27
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17218) op(e0, e3) = all_52_25
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17219) op(all_52_31, all_52_31) = e0
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17220) op(all_52_29, all_52_29) = e1
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17221) op(all_52_27, all_52_27) = e2
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17222) op(all_52_25, all_52_25) = e3
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 225.23/38.62 | | | | | | | | | | | | | | | | | | all_52_31, e0, e0, simplifying with (14935),
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17215) gives:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17223) all_52_31 = e2
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_11,
% 225.23/38.62 | | | | | | | | | | | | | | | | | | all_52_29, e1, e0, simplifying with (158), (17216)
% 225.23/38.62 | | | | | | | | | | | | | | | | | | gives:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17224) all_53_11 = all_52_29
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_7,
% 225.23/38.62 | | | | | | | | | | | | | | | | | | all_52_27, e2, e0, simplifying with (159), (17217)
% 225.23/38.62 | | | | | | | | | | | | | | | | | | gives:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17225) all_53_7 = all_52_27
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_3,
% 225.23/38.62 | | | | | | | | | | | | | | | | | | all_52_25, e3, e0, simplifying with (160), (17218)
% 225.23/38.62 | | | | | | | | | | | | | | | | | | gives:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17226) all_53_3 = all_52_25
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (17224) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17227) all_55_14 = all_52_29
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (17225) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17228) all_55_13 = all_52_27
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | REDUCE: (136), (17225) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17229) ~ (all_53_4 = all_52_27)
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | REDUCE: (126), (17224), (17225) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17230) ~ (all_52_27 = all_52_29)
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | REDUCE: (16512), (17225) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17231) ~ (all_52_27 = e0)
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | REDUCE: (122), (17224) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17232) ~ (all_53_8 = all_52_29)
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | REDUCE: (366), (17224) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17233) ~ (all_52_29 = all_6_2)
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | REDUCE: (14926), (17224) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | (17234) ~ (all_52_29 = e2)
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | (17235) ~ (all_24_2 = e0)
% 225.23/38.62 | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | REDUCE: (315), (17235) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | (17236) ~ (all_6_2 = e0)
% 225.23/38.62 | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | (17237) all_55_10 = e3
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (14936), (17237) are inconsistent by
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | sub-proof #2500.
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | (17238) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | BETA: splitting (17238) gives:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | (17239) all_55_10 = e2
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (17196), (17239) are inconsistent by
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | sub-proof #2499.
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | (17240) ~ (all_55_10 = e2)
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | (17241) all_55_10 = e1 | all_55_10 = e0
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17241) gives:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | (17242) all_55_10 = e1
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (17242) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | (17243) all_6_2 = e1
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | SIMP: (17243) implies:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | (17244) all_6_2 = e1
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (17244) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | (17245) ~ (all_53_8 = e1)
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17233), (17244) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | (17246) ~ (all_52_29 = e1)
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17196), (17244) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | (17247) ~ (e2 = e1)
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | (17248) all_55_1 = e3
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (17248) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | (17249) all_53_4 = e3
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17249) implies:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | (17250) all_53_4 = e3
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (17250) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | (17251) ~ (all_53_8 = e3)
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17251) implies:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | (17252) ~ (all_53_8 = e3)
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | (17253) all_55_2 = e3
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (17252), (17253) are inconsistent by
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2028.
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | (17254) all_55_2 = e2 | all_55_2 = e1 | all_55_2 = e0
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17254) gives:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | (17255) all_55_2 = e2
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (17193), (17255) are inconsistent by
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2027.
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | (17256) all_55_2 = e1 | all_55_2 = e0
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17256) gives:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (17257) all_55_2 = e1
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (17245), (17257) are inconsistent by
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2032.
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (17258) all_55_2 = e0
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (17258) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (17259) all_53_8 = e0
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17259) implies:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (17260) all_53_8 = e0
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17232), (17260) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (17261) ~ (all_52_29 = e0)
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17261) implies:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (17262) ~ (all_52_29 = e0)
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (191), (17178), (17220), (17227), (17234),
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (17246), (17262), (function-axioms) are
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1565.
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | (17263) all_55_1 = e2 | all_55_1 = e1 | all_55_1 = e0
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17263) gives:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | (17264) all_55_1 = e2
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (17192), (17264) are inconsistent by
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2284.
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | (17265) all_55_1 = e1 | all_55_1 = e0
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17265) gives:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | (17266) all_55_1 = e1
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (17266) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | (17267) all_53_4 = e1
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17267) implies:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | (17268) all_53_4 = e1
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17229), (17268) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | (17269) ~ (all_52_27 = e1)
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17269) implies:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | (17270) ~ (all_52_27 = e1)
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (17271) all_55_13 = e3
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17228), (17271) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (17272) all_52_27 = e3
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17230), (17272) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (17273) ~ (all_52_29 = e3)
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17273) implies:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (17274) ~ (all_52_29 = e3)
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17275) all_55_14 = e3
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17227), (17275) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17276) all_52_29 = e3
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17274), (17276) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17277) $false
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17277) is inconsistent.
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17278) all_55_14 = e2 | all_55_14 = e1 | all_55_14 = e0
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17278) gives:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17279) all_55_14 = e2
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17227), (17279) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17280) all_52_29 = e2
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17234), (17280) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17281) $false
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17281) is inconsistent.
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17282) all_55_14 = e1 | all_55_14 = e0
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17282) gives:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17283) all_55_14 = e1
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17227), (17283) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17284) all_52_29 = e1
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17246), (17284) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17285) $false
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17285) is inconsistent.
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17286) all_55_14 = e0
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17227), (17286) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17287) all_52_29 = e0
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17220), (17287) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17288) op(e0, e0) = e1
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (17215), (17219), (17236), (17288),
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2086.
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (17289) all_55_13 = e2 | all_55_13 = e1 | all_55_13 = e0
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16521), (17221), (17228), (17231), (17270),
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (17289), (function-axioms) are inconsistent by
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1614.
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | (17290) all_55_1 = e0
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (16510), (17290) are inconsistent by
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2076.
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | (17291) all_55_10 = e0
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (17236), (17291) are inconsistent by
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2118.
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.62 | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | (17292) all_24_2 = e0
% 225.23/38.62 | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (315), (17292) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | (17293) all_6_2 = e0
% 225.23/38.62 | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | SIMP: (17293) implies:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | (17294) all_6_2 = e0
% 225.23/38.62 | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | REDUCE: (350), (17294) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | (17295) ~ (all_53_2 = e0)
% 225.23/38.62 | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | REDUCE: (17196), (17294) imply:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | (17296) ~ (e2 = e0)
% 225.23/38.62 | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | (17297) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | (16520), (17178), (17297), (function-axioms) are
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1654.
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | (17298) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | BETA: splitting (17298) gives:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | (17299) all_57_6 = e0 & op(e1, e3) = e0
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | ALPHA: (17299) implies:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | (17300) op(e1, e3) = e0
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (17295), (17300), (function-axioms) are
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2154.
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | (17301) all_57_12 = e0 & op(e0, e3) = e0
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | ALPHA: (17301) implies:
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | (17302) op(e0, e3) = e0
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14935), (17215), (17218), (17222), (17302),
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | | #31.
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.62 | | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.62 | | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | | End of split
% 225.23/38.62 | | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | End of split
% 225.23/38.62 | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | Case 2:
% 225.23/38.62 | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | (17303) all_57_10 = e2 & op(e2, e0) = e2
% 225.23/38.62 | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | | REF_CLOSE: (165), (14928), (17303), (function-axioms) are
% 225.23/38.62 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2432.
% 225.23/38.62 | | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | End of split
% 225.23/38.62 | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | End of split
% 225.23/38.62 | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | Case 2:
% 225.23/38.62 | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | (17304) all_57_13 = e2 & op(e0, e2) = e2
% 225.23/38.62 | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | ALPHA: (17304) implies:
% 225.23/38.62 | | | | | | | | | | | | | | (17305) op(e0, e2) = e2
% 225.23/38.62 | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | REF_CLOSE: (159), (14925), (17305), (function-axioms) are
% 225.23/38.62 | | | | | | | | | | | | | | inconsistent by sub-proof #2335.
% 225.23/38.62 | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | End of split
% 225.23/38.62 | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | End of split
% 225.23/38.62 | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | End of split
% 225.23/38.62 | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | Case 2:
% 225.23/38.62 | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | (17306) all_18_2 = e0
% 225.23/38.62 | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | COMBINE_EQS: (327), (17306) imply:
% 225.23/38.62 | | | | | | | | | | | (17307) all_10_2 = e0
% 225.23/38.62 | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | SIMP: (17307) implies:
% 225.23/38.62 | | | | | | | | | | | (17308) all_10_2 = e0
% 225.23/38.62 | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | REDUCE: (342), (17308) imply:
% 225.23/38.62 | | | | | | | | | | | (17309) ~ (all_53_3 = e0)
% 225.23/38.62 | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | REDUCE: (348), (17308) imply:
% 225.23/38.62 | | | | | | | | | | | (17310) ~ (all_53_12 = e0)
% 225.23/38.62 | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | REDUCE: (14938), (17308) imply:
% 225.23/38.62 | | | | | | | | | | | (17311) ~ (e1 = e0)
% 225.23/38.62 | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | REDUCE: (45), (17308) imply:
% 225.23/38.62 | | | | | | | | | | | (17312) op(e3, e3) = e0
% 225.23/38.62 | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | BETA: splitting (207) gives:
% 225.23/38.62 | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | Case 1:
% 225.23/38.62 | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | (17313) all_57_15 = e0 & op(e0, e0) = e0
% 225.23/38.62 | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | REF_CLOSE: (5), (14934), (17313) are inconsistent by
% 225.23/38.62 | | | | | | | | | | | | sub-proof #85.
% 225.23/38.62 | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | Case 2:
% 225.23/38.62 | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | (17314) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 225.23/38.62 | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 225.23/38.62 | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 225.23/38.62 | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 225.23/38.62 | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 225.23/38.62 | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | ALPHA: (17314) implies:
% 225.23/38.62 | | | | | | | | | | | | (17315) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 225.23/38.62 | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 225.23/38.62 | | | | | | | | | | | | e1) = e0)
% 225.23/38.62 | | | | | | | | | | | | (17316) (all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 225.23/38.62 | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 & op(e1,
% 225.23/38.62 | | | | | | | | | | | | e0) = e0)
% 225.23/38.62 | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | BETA: splitting (17315) gives:
% 225.23/38.62 | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | Case 1:
% 225.23/38.62 | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | (17317) all_57_12 = e0 & op(e0, e3) = e0
% 225.23/38.62 | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | ALPHA: (17317) implies:
% 225.23/38.62 | | | | | | | | | | | | | (17318) op(e0, e3) = e0
% 225.23/38.62 | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | REF_CLOSE: (160), (17309), (17318), (function-axioms) are
% 225.23/38.62 | | | | | | | | | | | | | inconsistent by sub-proof #2366.
% 225.23/38.62 | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | Case 2:
% 225.23/38.62 | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | (17319) (all_57_13 = e0 & op(e0, e2) = e0) | (all_57_14 =
% 225.23/38.62 | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 225.23/38.62 | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | BETA: splitting (17319) gives:
% 225.23/38.62 | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | Case 1:
% 225.23/38.62 | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | (17320) all_57_13 = e0 & op(e0, e2) = e0
% 225.23/38.62 | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | ALPHA: (17320) implies:
% 225.23/38.62 | | | | | | | | | | | | | | (17321) op(e0, e2) = e0
% 225.23/38.62 | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | REF_CLOSE: (159), (16512), (17321), (function-axioms) are
% 225.23/38.62 | | | | | | | | | | | | | | inconsistent by sub-proof #2332.
% 225.23/38.62 | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | Case 2:
% 225.23/38.62 | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | (17322) all_57_14 = e0 & op(e0, e1) = e0
% 225.23/38.62 | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | ALPHA: (17322) implies:
% 225.23/38.62 | | | | | | | | | | | | | | (17323) all_57_14 = e0
% 225.23/38.62 | | | | | | | | | | | | | | (17324) op(e0, e1) = e0
% 225.23/38.62 | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | BETA: splitting (17316) gives:
% 225.23/38.62 | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | Case 1:
% 225.23/38.62 | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | (17325) all_57_9 = e0 & op(e3, e0) = e0
% 225.23/38.62 | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | REF_CLOSE: (169), (17310), (17325), (function-axioms) are
% 225.23/38.62 | | | | | | | | | | | | | | | inconsistent by sub-proof #2434.
% 225.23/38.62 | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | Case 2:
% 225.23/38.62 | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | (17326) (all_57_10 = e0 & op(e2, e0) = e0) | (all_57_11 =
% 225.23/38.62 | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 225.23/38.62 | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | BETA: splitting (17326) gives:
% 225.23/38.62 | | | | | | | | | | | | | | |
% 225.23/38.62 | | | | | | | | | | | | | | | Case 1:
% 225.23/38.62 | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | (17327) all_57_10 = e0 & op(e2, e0) = e0
% 225.23/38.63 | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | ALPHA: (17327) implies:
% 225.23/38.63 | | | | | | | | | | | | | | | | (17328) op(e2, e0) = e0
% 225.23/38.63 | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | REF_CLOSE: (165), (16514), (17328), (function-axioms) are
% 225.23/38.63 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2470.
% 225.23/38.63 | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | Case 2:
% 225.23/38.63 | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | (17329) all_57_11 = e0 & op(e1, e0) = e0
% 225.23/38.63 | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | ALPHA: (17329) implies:
% 225.23/38.63 | | | | | | | | | | | | | | | | (17330) all_57_11 = e0
% 225.23/38.63 | | | | | | | | | | | | | | | | (17331) op(e1, e0) = e0
% 225.23/38.63 | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (39), (42), (88), (107),
% 225.23/38.63 | | | | | | | | | | | | | | | | (111), (118), (119), (126), (140), (158), (159),
% 225.23/38.63 | | | | | | | | | | | | | | | | (160), (161), (163), (165), (166), (168), (195),
% 225.23/38.63 | | | | | | | | | | | | | | | | (198), (199), (208), (209), (210), (211), (214),
% 225.23/38.63 | | | | | | | | | | | | | | | | (215), (217), (218), (219), (221), (222), (224),
% 225.23/38.63 | | | | | | | | | | | | | | | | (225), (228), (231), (233), (234), (237), (249),
% 225.23/38.63 | | | | | | | | | | | | | | | | (258), (259), (336), (361), (364), (368), (14924),
% 225.23/38.63 | | | | | | | | | | | | | | | | (14925), (14928), (14929), (14935), (14936),
% 225.23/38.63 | | | | | | | | | | | | | | | | (14937), (16521), (17312), (17315), (17323),
% 225.23/38.63 | | | | | | | | | | | | | | | | (17324), (17330), (17331), (function-axioms) are
% 225.23/38.63 | | | | | | | | | | | | | | | | inconsistent by sub-proof #22.
% 225.23/38.63 | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | End of split
% 225.23/38.63 | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | End of split
% 225.23/38.63 | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | End of split
% 225.23/38.63 | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | End of split
% 225.23/38.63 | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | End of split
% 225.23/38.63 | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | End of split
% 225.23/38.63 | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | End of split
% 225.23/38.63 | | | | | | | | |
% 225.23/38.63 | | | | | | | | Case 2:
% 225.23/38.63 | | | | | | | | |
% 225.23/38.63 | | | | | | | | | (17332) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 = e0
% 225.23/38.63 | | | | | | | | | & op(e0, e2) = e0)
% 225.23/38.63 | | | | | | | | |
% 225.23/38.63 | | | | | | | | | REF_CLOSE: (159), (163), (16511), (16512), (17332),
% 225.23/38.63 | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.63 | | | | | | | | | #2024.
% 225.23/38.63 | | | | | | | | |
% 225.23/38.63 | | | | | | | | End of split
% 225.23/38.63 | | | | | | | |
% 225.23/38.63 | | | | | | | End of split
% 225.23/38.63 | | | | | | |
% 225.23/38.63 | | | | | | Case 2:
% 225.23/38.63 | | | | | | |
% 225.23/38.63 | | | | | | | (17333) all_10_2 = e1
% 225.23/38.63 | | | | | | | (17334) ( ~ (all_10_0 = e2) & op(all_10_1, e3) = all_10_0 &
% 225.23/38.63 | | | | | | | op(e3, e1) = all_10_1 & $i(all_10_0) & $i(all_10_1))
% 225.23/38.63 | | | | | | | | ( ~ (all_10_1 = e0) & op(e3, e1) = all_10_1 &
% 225.23/38.63 | | | | | | | $i(all_10_1))
% 225.23/38.63 | | | | | | |
% 225.23/38.63 | | | | | | | COMBINE_EQS: (331), (17333) imply:
% 225.23/38.63 | | | | | | | (17335) all_36_2 = e1
% 225.23/38.63 | | | | | | |
% 225.23/38.63 | | | | | | | REDUCE: (338), (17333) imply:
% 225.23/38.63 | | | | | | | (17336) ~ (all_53_1 = e1)
% 225.23/38.63 | | | | | | |
% 225.23/38.63 | | | | | | | REDUCE: (340), (17333) imply:
% 225.23/38.63 | | | | | | | (17337) ~ (all_53_2 = e1)
% 225.23/38.63 | | | | | | |
% 225.23/38.63 | | | | | | | REDUCE: (342), (17333) imply:
% 225.23/38.63 | | | | | | | (17338) ~ (all_53_3 = e1)
% 225.23/38.63 | | | | | | |
% 225.23/38.63 | | | | | | | REDUCE: (344), (17333) imply:
% 225.23/38.63 | | | | | | | (17339) ~ (all_53_4 = e1)
% 225.23/38.63 | | | | | | |
% 225.23/38.63 | | | | | | | REDUCE: (346), (17333) imply:
% 225.23/38.63 | | | | | | | (17340) ~ (all_53_8 = e1)
% 225.23/38.63 | | | | | | |
% 225.23/38.63 | | | | | | | REDUCE: (348), (17333) imply:
% 225.23/38.63 | | | | | | | (17341) ~ (all_53_12 = e1)
% 225.23/38.63 | | | | | | |
% 225.23/38.63 | | | | | | | BETA: splitting (232) gives:
% 225.23/38.63 | | | | | | |
% 225.23/38.63 | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | |
% 225.23/38.63 | | | | | | | | (17342) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_2 = e1 &
% 225.23/38.63 | | | | | | | | op(e2, e3) = e1)
% 225.23/38.63 | | | | | | | |
% 225.23/38.63 | | | | | | | | BETA: splitting (17342) gives:
% 225.23/38.63 | | | | | | | |
% 225.23/38.63 | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | |
% 225.23/38.63 | | | | | | | | | (17343) all_57_0 = e1 & op(e3, e3) = e1
% 225.23/38.63 | | | | | | | | |
% 225.23/38.63 | | | | | | | | | ALPHA: (17343) implies:
% 225.23/38.63 | | | | | | | | | (17344) all_57_0 = e1
% 225.23/38.63 | | | | | | | | | (17345) op(e3, e3) = e1
% 225.23/38.63 | | | | | | | | |
% 225.23/38.63 | | | | | | | | | BETA: splitting (52) gives:
% 225.23/38.63 | | | | | | | | |
% 225.23/38.63 | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | (17346) ~ (all_14_2 = e0)
% 225.23/38.63 | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | REDUCE: (328), (17346) imply:
% 225.23/38.63 | | | | | | | | | | (17347) ~ (all_8_2 = e0)
% 225.23/38.63 | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | BETA: splitting (55) gives:
% 225.23/38.63 | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | (17348) ~ (all_16_2 = e1)
% 225.23/38.63 | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | REDUCE: (324), (17348) imply:
% 225.23/38.63 | | | | | | | | | | | (17349) ~ (all_8_2 = e1)
% 225.23/38.63 | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | REF_CLOSE: (42), (85), (107), (150), (160), (164), (168),
% 225.23/38.63 | | | | | | | | | | | (169), (170), (171), (200), (201), (234), (235),
% 225.23/38.63 | | | | | | | | | | | (266), (267), (349), (352), (14924), (14927),
% 225.23/38.63 | | | | | | | | | | | (14935), (14937), (17334), (17335), (17336),
% 225.23/38.63 | | | | | | | | | | | (17340), (17345), (17347), (17349),
% 225.23/38.63 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.63 | | | | | | | | | | | #20.
% 225.23/38.63 | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | Case 2:
% 225.23/38.63 | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | (17350) all_16_2 = e1
% 225.23/38.63 | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | COMBINE_EQS: (324), (17350) imply:
% 225.23/38.63 | | | | | | | | | | | (17351) all_8_2 = e1
% 225.23/38.63 | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | SIMP: (17351) implies:
% 225.23/38.63 | | | | | | | | | | | (17352) all_8_2 = e1
% 225.23/38.63 | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | REDUCE: (354), (17352) imply:
% 225.23/38.63 | | | | | | | | | | | (17353) ~ (all_53_6 = e1)
% 225.23/38.63 | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | REDUCE: (356), (17352) imply:
% 225.23/38.63 | | | | | | | | | | | (17354) ~ (all_53_7 = e1)
% 225.23/38.63 | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | REDUCE: (360), (17352) imply:
% 225.23/38.63 | | | | | | | | | | | (17355) ~ (all_53_13 = e1)
% 225.23/38.63 | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | REDUCE: (14937), (17352) imply:
% 225.23/38.63 | | | | | | | | | | | (17356) ~ (e3 = e1)
% 225.23/38.63 | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | REDUCE: (42), (17352) imply:
% 225.23/38.63 | | | | | | | | | | | (17357) op(e2, e2) = e1
% 225.23/38.63 | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | BETA: splitting (211) gives:
% 225.23/38.63 | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | (17358) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 =
% 225.23/38.63 | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 225.23/38.63 | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | BETA: splitting (17358) gives:
% 225.23/38.63 | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | (17359) all_57_9 = e1 & op(e3, e0) = e1
% 225.23/38.63 | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | REF_CLOSE: (169), (17341), (17359), (function-axioms) are
% 225.23/38.63 | | | | | | | | | | | | | inconsistent by sub-proof #2131.
% 225.23/38.63 | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | Case 2:
% 225.23/38.63 | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | (17360) all_57_10 = e1 & op(e2, e0) = e1
% 225.23/38.63 | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | REF_CLOSE: (165), (17355), (17360), (function-axioms) are
% 225.23/38.63 | | | | | | | | | | | | | inconsistent by sub-proof #2084.
% 225.23/38.63 | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | End of split
% 225.23/38.63 | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | Case 2:
% 225.23/38.63 | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | (17361) (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 =
% 225.23/38.63 | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 225.23/38.63 | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | BETA: splitting (17361) gives:
% 225.23/38.63 | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | (17362) all_57_11 = e1 & op(e1, e0) = e1
% 225.23/38.63 | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | ALPHA: (17362) implies:
% 225.23/38.63 | | | | | | | | | | | | | (17363) all_57_11 = e1
% 225.23/38.63 | | | | | | | | | | | | | (17364) op(e1, e0) = e1
% 225.23/38.63 | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | BETA: splitting (208) gives:
% 225.23/38.63 | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | (17365) (all_57_12 = e1 & op(e0, e3) = e1) | (all_57_13 =
% 225.23/38.63 | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 225.23/38.63 | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | BETA: splitting (17365) gives:
% 225.23/38.63 | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | (17366) all_57_12 = e1 & op(e0, e3) = e1
% 225.23/38.63 | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | REF_CLOSE: (160), (17338), (17366), (function-axioms) are
% 225.23/38.63 | | | | | | | | | | | | | | | inconsistent by sub-proof #1947.
% 225.23/38.63 | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | Case 2:
% 225.23/38.63 | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | (17367) all_57_13 = e1 & op(e0, e2) = e1
% 225.23/38.63 | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | REF_CLOSE: (159), (17354), (17367), (function-axioms) are
% 225.23/38.63 | | | | | | | | | | | | | | | inconsistent by sub-proof #330.
% 225.23/38.63 | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | End of split
% 225.23/38.63 | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | Case 2:
% 225.23/38.63 | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | (17368) (all_57_14 = e1 & op(e0, e1) = e1) | (all_57_15 =
% 225.23/38.63 | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 225.23/38.63 | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | BETA: splitting (17368) gives:
% 225.23/38.63 | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | (17369) all_57_14 = e1 & op(e0, e1) = e1
% 225.23/38.63 | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | ALPHA: (17369) implies:
% 225.23/38.63 | | | | | | | | | | | | | | | (17370) all_57_14 = e1
% 225.23/38.63 | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 225.23/38.63 | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | (17371) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1
% 225.23/38.63 | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 225.23/38.63 | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | BETA: splitting (17371) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | (17372) all_57_1 = e1 & op(e3, e2) = e1
% 225.23/38.63 | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | ALPHA: (17372) implies:
% 225.23/38.63 | | | | | | | | | | | | | | | | | (17373) all_57_1 = e1
% 225.23/38.63 | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (228), (229),
% 225.23/38.63 | | | | | | | | | | | | | | | | | (17357), (17373), (function-axioms) are
% 225.23/38.63 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1908.
% 225.23/38.63 | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.63 | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | (17374) all_57_3 = e1 & op(e2, e2) = e1
% 225.23/38.63 | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | ALPHA: (17374) implies:
% 225.23/38.63 | | | | | | | | | | | | | | | | | (17375) all_57_3 = e1
% 225.23/38.63 | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_14,
% 225.23/38.63 | | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (161), (17364) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | (17376) all_53_14 = e1
% 225.23/38.63 | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | REDUCE: (368), (17376) imply:
% 225.23/38.63 | | | | | | | | | | | | | | | | | (17377) ~ (all_6_2 = e1)
% 225.23/38.63 | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | SIMP: (17377) implies:
% 225.23/38.63 | | | | | | | | | | | | | | | | | (17378) ~ (all_6_2 = e1)
% 225.23/38.63 | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | REDUCE: (14929), (17376) imply:
% 225.23/38.63 | | | | | | | | | | | | | | | | | (17379) ~ (e2 = e1)
% 225.23/38.63 | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | (17380) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 225.23/38.63 | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 225.23/38.63 | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 225.23/38.63 | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 225.23/38.63 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 225.23/38.63 | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 225.23/38.63 | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 225.23/38.63 | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 225.23/38.63 | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 225.23/38.63 | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 225.23/38.63 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 225.23/38.63 | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 225.23/38.63 | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 225.23/38.63 | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | BETA: splitting (17380) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | (17381) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 225.23/38.63 | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (14936), (17345), (17381), (function-axioms)
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #360.
% 225.23/38.63 | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | (17382) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 225.23/38.63 | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | ALPHA: (17382) implies:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | (17383) op(e2, e0) = all_52_15
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | (17384) op(e2, e2) = all_52_11
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | (17385) op(e2, e3) = all_52_9
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | (17386) op(all_52_15, all_52_15) = e0
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | (17387) op(all_52_11, all_52_11) = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | (17388) op(all_52_9, all_52_9) = e3
% 225.23/38.63 | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_13,
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | all_52_15, e0, e2, simplifying with (165), (17383)
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | (17389) all_53_13 = all_52_15
% 225.23/38.63 | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | all_52_11, e2, e2, simplifying with (17357),
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | (17384) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | (17390) all_52_11 = e1
% 225.23/38.63 | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_1,
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | all_52_9, e3, e2, simplifying with (168), (17385)
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | (17391) all_53_1 = all_52_9
% 225.23/38.63 | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | REDUCE: (14928), (17389) imply:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | (17392) ~ (all_52_15 = e2)
% 225.23/38.63 | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | REDUCE: (17387), (17390) imply:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | (17393) op(e1, e1) = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2, e2,
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (39), (17393) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | (17394) all_6_2 = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | REDUCE: (361), (17394) imply:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | (17395) ~ (all_53_6 = e2)
% 225.23/38.63 | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | REDUCE: (14936), (17394) imply:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | (17396) ~ (e3 = e2)
% 225.23/38.63 | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | (17397) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_2 = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | BETA: splitting (17397) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | (17398) all_57_0 = e2 & op(e3, e3) = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | ALPHA: (17398) implies:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | (17399) op(e3, e3) = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17345), (17399), (function-axioms) are
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1950.
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | (17400) all_57_2 = e2 & op(e2, e3) = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | ALPHA: (17400) implies:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | (17401) op(e2, e3) = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | (17402) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17402) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | (17403) all_57_1 = e2 & op(e3, e2) = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17403) implies:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | (17404) all_57_1 = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | (17405) op(e3, e2) = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | (17406) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17406) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | (17407) all_57_0 = e2 & op(e3, e3) = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17407) implies:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | (17408) op(e3, e3) = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (237),
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | (17404), (17408), (function-axioms) are
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1655.
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (17385), (17401) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | (17409) all_52_9 = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17388), (17409) imply:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | (17410) op(e2, e2) = e3
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17357), (17410), (function-axioms) are
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1912.
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | (17411) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17411) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | (17412) all_57_4 = e2 & op(e3, e1) = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17412) implies:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | (17413) all_57_4 = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (17414) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17414) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17415) all_57_0 = e0 & op(e3, e3) = e0
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17415) implies:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17416) all_57_0 = e0
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (163), (226),
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (231), (233), (237), (14925),
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17357), (17395), (17413), (17416),
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | #39.
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17417) all_57_1 = e0 & op(e3, e2) = e0
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (17404), (17417) are inconsistent by
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1723.
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (17418) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17418) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17419) all_57_4 = e0 & op(e3, e1) = e0
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (17413), (17419) are inconsistent by
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2045.
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17420) all_57_9 = e0 & op(e3, e0) = e0
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17420) implies:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17421) op(e3, e0) = e0
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17422) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_1 = e3
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (228), (229),
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (17357), (17404), (17405), (17413),
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17422), (function-axioms) are inconsistent by
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #40.
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17423) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_9 = e3
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17423) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17424) all_57_4 = e3 & op(e3, e1) = e3
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17424) implies:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17425) all_57_4 = e3
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (17413), (17425) are inconsistent by
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2482.
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17426) all_57_9 = e3 & op(e3, e0) = e3
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17426) implies:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17427) op(e3, e0) = e3
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (17421), (17427), (function-axioms) are
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #313.
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | (17428) all_57_9 = e2 & op(e3, e0) = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17428) implies:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | (17429) op(e3, e0) = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (14927), (17429), (function-axioms) are
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2331.
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | (17430) all_57_3 = e2 & op(e2, e2) = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17430) implies:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | (17431) op(e2, e2) = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17357), (17431), (function-axioms) are
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | (17432) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (14925), (17395), (17432),
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | #160.
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | (17433) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_12 =
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | BETA: splitting (17433) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | (17434) all_57_6 = e2 & op(e1, e3) = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | ALPHA: (17434) implies:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | (17435) all_57_6 = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | (17436) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17436) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | (17437) all_57_1 = e2 & op(e3, e2) = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17437) implies:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | (17438) all_57_1 = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | (17439) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17439) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | (17440) all_57_6 = e3 & op(e1, e3) = e3
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17440) implies:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | (17441) all_57_6 = e3
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (17435), (17441) are inconsistent by
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2463.
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | (17442) all_57_7 = e3 & op(e1, e2) = e3
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17442) implies:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | (17443) all_57_7 = e3
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (17444) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17444) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17445) all_57_2 = e2 & op(e2, e3) = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17445) implies:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17446) all_57_2 = e2
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17447) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (17435), (17443), (17447) are
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1165.
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17448) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17448) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17449) all_57_8 = e0 & op(e1, e1) = e0
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17449) implies:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17450) op(e1, e1) = e0
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (17357), (17384), (17387), (17450),
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1843.
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17451) all_57_11 = e0 & op(e1, e0) = e0
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17451) implies:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17452) all_57_11 = e0
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17363), (17452) imply:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17453) e1 = e0
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17344), (17453) imply:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17454) all_57_0 = e0
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17342) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (17343), (17454) are inconsistent by
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2454.
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17455) all_57_2 = e1 & op(e2, e3) = e1
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (17336), (17455), (function-axioms) are
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2156.
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17456) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 =
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17456) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17457) all_57_6 = e1 & op(e1, e3) = e1
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17435), (17457) are inconsistent by
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2389.
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17458) all_57_12 = e1 & op(e0, e3) = e1
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17458) implies:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17459) all_57_12 = e1
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17460) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17460) gives:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17461) all_57_0 = e0 & op(e3, e3) = e0
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17461) implies:
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17462) op(e3, e3) = e0
% 225.23/38.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (236), (17435), (17446), (17459),
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17462), (function-axioms) are inconsistent by
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1212.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17463) all_57_2 = e0 & op(e2, e3) = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (17446), (17463) are inconsistent by
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1700.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17464) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17464) gives:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17465) all_57_6 = e0 & op(e1, e3) = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (17435), (17465) are inconsistent by
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2386.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17466) all_57_12 = e0 & op(e0, e3) = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (17459), (17466) are inconsistent by
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1279.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17467) all_57_3 = e2 & op(e2, e2) = e2
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17467) implies:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17468) op(e2, e2) = e2
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17357), (17468), (function-axioms) are
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (17469) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17469) gives:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17470) all_57_5 = e2 & op(e2, e1) = e2
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17470) implies:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17471) all_57_5 = e2
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17472) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17472) gives:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17473) all_57_4 = e3 & op(e3, e1) = e3
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17473) implies:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17474) all_57_4 = e3
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17475) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17475) gives:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17476) all_57_0 = e0 & op(e3, e3) = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (17344), (17476) are inconsistent by
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1812.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17477) all_57_1 = e0 & op(e3, e2) = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (17438), (17477) are inconsistent by
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1723.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17478) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17478) gives:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17479) all_57_4 = e0 & op(e3, e1) = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (17474), (17479) are inconsistent by
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2491.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17480) all_57_9 = e0 & op(e3, e0) = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17480) implies:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17481) op(e3, e0) = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17482) (all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 =
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17482) gives:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17483) all_57_9 = e3 & op(e3, e0) = e3
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17483) implies:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17484) op(e3, e0) = e3
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (17481), (17484), (function-axioms) are
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #313.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17485) all_57_10 = e3 & op(e2, e0) = e3
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17485) implies:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17486) all_57_10 = e3
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17487) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17487) gives:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17488) all_57_2 = e0 & op(e2, e3) = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17488) implies:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17489) all_57_2 = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17490) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17490) gives:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17491) all_57_6 = e0 & op(e1, e3) = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17491) implies:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17492) all_57_6 = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17435), (17492) imply:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17493) e2 = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17493) implies:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17494) e2 = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17471), (17494) imply:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17495) all_57_5 = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (224), (225), (17357),
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17489), (17495), (function-axioms) are
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1848.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17496) all_57_7 = e0 & op(e1, e2) = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (17443), (17496) are inconsistent by
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2042.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17497) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17497) gives:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17498) all_57_8 = e0 & op(e1, e1) = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17498) implies:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17499) op(e1, e1) = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (17357), (17384), (17387), (17499),
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1843.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17500) all_57_11 = e0 & op(e1, e0) = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17500) implies:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17501) all_57_11 = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17363), (17501) imply:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17502) e1 = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17375), (17502) imply:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17503) all_57_3 = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (223), (224), (17486),
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17489), (17503) are inconsistent by sub-proof
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2247.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17504) all_57_3 = e0 & op(e2, e2) = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17504) implies:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17505) op(e2, e2) = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (17357), (17505), (function-axioms) are
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2352.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17506) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17506) gives:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17507) all_57_5 = e0 & op(e2, e1) = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17507) implies:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17508) all_57_5 = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17471), (17508) imply:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17509) e2 = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14934), (17509) imply:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17510) all_57_15 = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (169), (212), (14927), (17363),
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17486), (17510), (function-axioms) are
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #19.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17511) all_57_10 = e0 & op(e2, e0) = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (207), (14934), (14935), (17383), (17386),
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17392), (17511), (function-axioms) are
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #84.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17512) (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 =
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17512) gives:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17513) all_57_11 = e3 & op(e1, e0) = e3
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17513) implies:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17514) all_57_11 = e3
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17363), (17514) are inconsistent by
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2218.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17515) all_57_15 = e3 & op(e0, e0) = e3
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17515) implies:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17516) all_57_15 = e3
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17517) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17517) gives:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17518) all_57_6 = e0 & op(e1, e3) = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17518) implies:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17519) all_57_6 = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (17435), (17519) are inconsistent by
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1846.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17520) all_57_7 = e0 & op(e1, e2) = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17520) implies:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17521) all_57_7 = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (17435), (17439), (17521) are
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #353.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17522) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (14936), (17516), (17522),
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1786.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17523) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17523) gives:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17524) all_57_8 = e0 & op(e1, e1) = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17524) implies:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17525) op(e1, e1) = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (17357), (17384), (17387), (17525),
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1843.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17526) all_57_11 = e0 & op(e1, e0) = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17526) implies:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17527) all_57_11 = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (207), (211),
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (215), (217), (14936), (17393), (17435),
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17516), (17527), (function-axioms) are
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1122.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17528) all_57_5 = e3 & op(e2, e1) = e3
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17528) implies:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17529) all_57_5 = e3
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (17471), (17529) are inconsistent by
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2189.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17530) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17530) gives:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17531) all_57_8 = e3 & op(e1, e1) = e3
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17531) implies:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17532) op(e1, e1) = e3
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (17357), (17384), (17387), (17532),
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #155.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17533) all_57_14 = e3 & op(e0, e1) = e3
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17533) implies:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17534) all_57_14 = e3
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17370), (17534) are inconsistent by
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2326.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17535) all_57_10 = e2 & op(e2, e0) = e2
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (14928), (17535), (function-axioms) are
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2432.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | (17536) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17536) gives:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | (17537) all_57_8 = e3 & op(e1, e1) = e3
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17537) implies:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | (17538) op(e1, e1) = e3
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (17357), (17384), (17387), (17538),
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | #155.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | (17539) all_57_11 = e3 & op(e1, e0) = e3
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17539) implies:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | (17540) all_57_11 = e3
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17363), (17540) are inconsistent by
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2218.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | (17541) all_57_3 = e2 & op(e2, e2) = e2
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17541) implies:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | (17542) op(e2, e2) = e2
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17357), (17542), (function-axioms) are
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | (17543) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (14925), (17395), (17543),
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | | #160.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | (17544) all_57_12 = e2 & op(e0, e3) = e2
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | ALPHA: (17544) implies:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | (17545) op(e0, e3) = e2
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (14924), (17545), (function-axioms) are
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1980.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | (17546) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 225.23/38.64 | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 225.23/38.64 | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 225.23/38.64 | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 225.23/38.64 | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 225.23/38.64 | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 225.23/38.64 | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 225.23/38.64 | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 225.23/38.64 | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 225.23/38.64 | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 225.23/38.64 | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 225.23/38.64 | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 225.23/38.64 | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 225.23/38.64 | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 225.23/38.64 | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 225.23/38.64 | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 225.23/38.64 | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | BETA: splitting (17546) gives:
% 225.23/38.64 | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | (17547) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 225.23/38.64 | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | ALPHA: (17547) implies:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | (17548) op(e1, e0) = all_52_23
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | (17549) op(e1, e1) = all_52_21
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | (17550) op(all_52_23, all_52_23) = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | (17551) op(all_52_21, all_52_21) = e1
% 225.23/38.64 | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | all_52_23, e0, e1, simplifying with (17364),
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | (17548) gives:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | (17552) all_52_23 = e1
% 225.23/38.64 | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | all_52_21, e1, e1, simplifying with (39), (17549)
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | gives:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | (17553) all_52_21 = all_6_2
% 225.23/38.64 | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | REDUCE: (17551), (17553) imply:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | (17554) op(all_6_2, all_6_2) = e1
% 225.23/38.64 | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | REDUCE: (17550), (17552) imply:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | (17555) op(e1, e1) = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2, e0,
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (39), (17555) gives:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | (17556) all_6_2 = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | REDUCE: (14936), (17556) imply:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | (17557) ~ (e3 = e0)
% 225.23/38.64 | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | REDUCE: (17378), (17556) imply:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | (17558) ~ (e1 = e0)
% 225.23/38.64 | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | REDUCE: (17554), (17556) imply:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | (17559) op(e0, e0) = e1
% 225.23/38.64 | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (207), (209),
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | (210), (14925), (17370), (17559),
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | #2175.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | (17560) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 225.23/38.64 | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14935), (17357), (17560), (function-axioms)
% 225.23/38.64 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #50.
% 225.23/38.64 | | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | (17561) (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_13 =
% 225.23/38.64 | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 225.23/38.64 | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | BETA: splitting (17561) gives:
% 225.23/38.64 | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.64 | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | (17562) all_57_7 = e1 & op(e1, e2) = e1
% 225.23/38.64 | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (17353), (17562), (function-axioms) are
% 225.23/38.64 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2265.
% 225.23/38.64 | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | (17563) all_57_13 = e1 & op(e0, e2) = e1
% 225.23/38.64 | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (17354), (17563), (function-axioms) are
% 225.23/38.64 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #330.
% 225.23/38.64 | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | (17564) all_57_15 = e1 & op(e0, e0) = e1
% 225.23/38.64 | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | ALPHA: (17564) implies:
% 225.23/38.64 | | | | | | | | | | | | | | | (17565) op(e0, e0) = e1
% 225.23/38.64 | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | REF_CLOSE: (6), (14935), (17565), (function-axioms) are
% 225.23/38.64 | | | | | | | | | | | | | | | inconsistent by sub-proof #2177.
% 225.23/38.64 | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | (17566) all_57_15 = e1 & op(e0, e0) = e1
% 225.23/38.64 | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | ALPHA: (17566) implies:
% 225.23/38.64 | | | | | | | | | | | | | (17567) op(e0, e0) = e1
% 225.23/38.64 | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | REF_CLOSE: (6), (14935), (17567), (function-axioms) are
% 225.23/38.64 | | | | | | | | | | | | | inconsistent by sub-proof #2177.
% 225.23/38.64 | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | End of split
% 225.23/38.64 | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | (17568) all_14_2 = e0
% 225.23/38.64 | | | | | | | | | | (17569) ( ~ (all_14_0 = e1) & op(all_14_1, e2) = all_14_0
% 225.23/38.64 | | | | | | | | | | & op(e2, e0) = all_14_1 & $i(all_14_0) &
% 225.23/38.64 | | | | | | | | | | $i(all_14_1)) | ( ~ (all_14_1 = e3) & op(e2, e0)
% 225.23/38.64 | | | | | | | | | | = all_14_1 & $i(all_14_1))
% 225.23/38.64 | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | COMBINE_EQS: (328), (17568) imply:
% 225.23/38.64 | | | | | | | | | | (17570) all_8_2 = e0
% 225.23/38.64 | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | SIMP: (17570) implies:
% 225.23/38.64 | | | | | | | | | | (17571) all_8_2 = e0
% 225.23/38.64 | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | COMBINE_EQS: (290), (17571) imply:
% 225.23/38.64 | | | | | | | | | | (17572) all_50_2 = e0
% 225.23/38.64 | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | REDUCE: (349), (17571) imply:
% 225.23/38.64 | | | | | | | | | | (17573) ~ (all_53_1 = e0)
% 225.23/38.64 | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | REDUCE: (352), (17571) imply:
% 225.23/38.64 | | | | | | | | | | (17574) ~ (all_53_4 = e0)
% 225.23/38.64 | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | REDUCE: (354), (17571) imply:
% 225.23/38.64 | | | | | | | | | | (17575) ~ (all_53_6 = e0)
% 225.23/38.64 | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | REDUCE: (356), (17571) imply:
% 225.23/38.64 | | | | | | | | | | (17576) ~ (all_53_7 = e0)
% 225.23/38.64 | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | REDUCE: (358), (17571) imply:
% 225.23/38.64 | | | | | | | | | | (17577) ~ (all_53_9 = e0)
% 225.23/38.64 | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | REDUCE: (360), (17571) imply:
% 225.23/38.64 | | | | | | | | | | (17578) ~ (all_53_13 = e0)
% 225.23/38.64 | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | REDUCE: (14937), (17571) imply:
% 225.23/38.64 | | | | | | | | | | (17579) ~ (e3 = e0)
% 225.23/38.64 | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | BETA: splitting (222) gives:
% 225.23/38.64 | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | Case 1:
% 225.23/38.64 | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | (17580) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 225.23/38.64 | | | | | | | | | | | & op(e2, e2) = e0)
% 225.23/38.64 | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | BETA: splitting (17580) gives:
% 225.23/38.64 | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | Case 1:
% 225.23/38.64 | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | (17581) all_57_2 = e0 & op(e2, e3) = e0
% 225.23/38.64 | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | ALPHA: (17581) implies:
% 225.23/38.64 | | | | | | | | | | | | (17582) op(e2, e3) = e0
% 225.23/38.64 | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | REF_CLOSE: (168), (17573), (17582), (function-axioms) are
% 225.23/38.64 | | | | | | | | | | | | inconsistent by sub-proof #1943.
% 225.23/38.64 | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | (17583) all_57_3 = e0 & op(e2, e2) = e0
% 225.23/38.64 | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | ALPHA: (17583) implies:
% 225.23/38.64 | | | | | | | | | | | | (17584) all_57_3 = e0
% 225.23/38.64 | | | | | | | | | | | | (17585) op(e2, e2) = e0
% 225.23/38.64 | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | BETA: splitting (67) gives:
% 225.23/38.64 | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | Case 1:
% 225.23/38.64 | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | (17586) ~ (all_24_2 = e0)
% 225.23/38.64 | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | REDUCE: (315), (17586) imply:
% 225.23/38.64 | | | | | | | | | | | | | (17587) ~ (all_6_2 = e0)
% 225.23/38.64 | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | BETA: splitting (79) gives:
% 225.23/38.64 | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | Case 1:
% 225.23/38.64 | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | (17588) ~ (all_32_2 = e2)
% 225.23/38.64 | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | REDUCE: (14923), (17588) imply:
% 225.23/38.64 | | | | | | | | | | | | | | (17589) $false
% 225.23/38.64 | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | CLOSE: (17589) is inconsistent.
% 225.23/38.64 | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | (17590) ( ~ (all_32_0 = e1) & op(all_32_1, e0) = all_32_0
% 225.23/38.64 | | | | | | | | | | | | | | & op(e0, e2) = all_32_1 & $i(all_32_0) &
% 225.23/38.64 | | | | | | | | | | | | | | $i(all_32_1)) | ( ~ (all_32_1 = e3) & op(e0, e2)
% 225.23/38.64 | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 225.23/38.64 | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 225.23/38.64 | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | Case 1:
% 225.23/38.64 | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | (17591) ~ (all_38_2 = e2)
% 225.23/38.64 | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | REDUCE: (249), (17591) imply:
% 225.23/38.64 | | | | | | | | | | | | | | | (17592) ~ (all_6_2 = e2)
% 225.23/38.64 | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 225.23/38.64 | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | Case 1:
% 225.23/38.64 | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | (17593) all_55_10 = e3
% 225.23/38.64 | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | REF_CLOSE: (336), (14936), (17593) are inconsistent by
% 225.23/38.64 | | | | | | | | | | | | | | | | sub-proof #2500.
% 225.23/38.64 | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | (17594) ~ (all_55_10 = e3)
% 225.23/38.64 | | | | | | | | | | | | | | | | (17595) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 225.23/38.64 | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | BETA: splitting (17595) gives:
% 225.23/38.64 | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.64 | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | (17596) all_55_10 = e2
% 225.23/38.64 | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (17592), (17596) are inconsistent by
% 225.23/38.64 | | | | | | | | | | | | | | | | | sub-proof #2499.
% 225.23/38.64 | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.64 | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | (17597) ~ (all_55_10 = e2)
% 225.23/38.64 | | | | | | | | | | | | | | | | | (17598) all_55_10 = e1 | all_55_10 = e0
% 225.23/38.64 | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | BETA: splitting (17598) gives:
% 225.23/38.64 | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.64 | | | | | | | | | | | | | | | | | |
% 225.23/38.64 | | | | | | | | | | | | | | | | | | (17599) all_55_10 = e1
% 225.23/38.65 | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (17599) imply:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | (17600) all_6_2 = e1
% 225.23/38.65 | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | SIMP: (17600) implies:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | (17601) all_6_2 = e1
% 225.23/38.65 | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | REDUCE: (366), (17601) imply:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | (17602) ~ (all_53_11 = e1)
% 225.23/38.65 | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | REDUCE: (368), (17601) imply:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | (17603) ~ (all_53_14 = e1)
% 225.23/38.65 | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | REDUCE: (14936), (17601) imply:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | (17604) ~ (e3 = e1)
% 225.23/38.65 | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | REDUCE: (17592), (17601) imply:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | (17605) ~ (e2 = e1)
% 225.23/38.65 | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | REDUCE: (39), (17601) imply:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | (17606) op(e1, e1) = e1
% 225.23/38.65 | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | (17607) (all_57_12 = e1 & op(e0, e3) = e1) | (all_57_13 =
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | BETA: splitting (17607) gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | (17608) all_57_12 = e1 & op(e0, e3) = e1
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (17338), (17608), (function-axioms) are
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1947.
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | (17609) all_57_13 = e1 & op(e0, e2) = e1
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | ALPHA: (17609) implies:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | (17610) op(e0, e2) = e1
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | (17611) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 =
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17611) gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | (17612) all_57_9 = e1 & op(e3, e0) = e1
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (17341), (17612), (function-axioms) are
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2131.
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | (17613) all_57_10 = e1 & op(e2, e0) = e1
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17613) implies:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | (17614) op(e2, e0) = e1
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_7, e1,
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (159), (17610) gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | (17615) all_53_7 = e1
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_13,
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (165), (17614) gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | (17616) all_53_13 = e1
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (17615) imply:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | (17617) ~ (all_53_6 = e1)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | (17618) ~ (all_50_2 = e0)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17572), (17618) imply:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | (17619) $false
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17619) is inconsistent.
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | (17620) ( ~ (all_50_0 = e3) & op(all_50_1, e2) = all_50_0
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_50_1 & $i(all_50_0) &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)) | ( ~ (all_50_1 = e1) & op(e2, e0)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | (17621) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17621) gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | (17622) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17622) implies:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | (17623) op(e3, e3) = all_52_1
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | (17624) op(all_52_1, all_52_1) = e3
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14922), (17345), (17590), (17606), (17610),
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | (17623), (17624), (function-axioms) are
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #18.
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | (17625) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17625) implies:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | (17626) op(e2, e0) = all_52_15
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | (17627) op(all_52_15, all_52_15) = e0
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17569) gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (17628) ~ (all_14_0 = e1) & op(all_14_1, e2) = all_14_0 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_14_1 & $i(all_14_0) &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17628) implies:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (17629) op(e2, e0) = all_14_1
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (17606), (17614), (17626), (17627), (17629),
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | #17.
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (17630) ~ (all_14_1 = e3) & op(e2, e0) = all_14_1 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17630) implies:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (17631) op(e2, e0) = all_14_1
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (17606), (17614), (17626), (17627), (17631),
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | #17.
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | (17632) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17632) gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | (17633) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17633) implies:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | (17634) op(e1, e2) = all_52_19
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | (17635) op(all_52_19, all_52_19) = e2
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17620) gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (17636) ~ (all_50_0 = e3) & op(all_50_1, e2) = all_50_0 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_50_1 & $i(all_50_0) &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17636) implies:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (17637) op(e2, e0) = all_50_1
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17569) gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17638) ~ (all_14_0 = e1) & op(all_14_1, e2) = all_14_0 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_14_1 & $i(all_14_0) &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17638) implies:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17639) op(e2, e0) = all_14_1
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (196), (256), (17569), (17575), (17585),
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17614), (17617), (17620), (17634), (17635),
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17637), (17639), (function-axioms) are
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #16.
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17640) ~ (all_14_1 = e3) & op(e2, e0) = all_14_1 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17640) implies:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17641) op(e2, e0) = all_14_1
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (196), (256), (17569), (17575), (17585),
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17614), (17617), (17620), (17634), (17635),
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17637), (17641), (function-axioms) are
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #16.
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (17642) ~ (all_50_1 = e1) & op(e2, e0) = all_50_1 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17569), (17614), (17642), (function-axioms) are
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #272.
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | (17643) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17643) implies:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | (17644) op(e0, e2) = all_52_27
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | (17645) op(all_52_27, all_52_27) = e2
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17620) gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | all_52_27, e2, e0, simplifying with (17610),
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (17644) gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (17646) all_52_27 = e1
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17645), (17646) imply:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (17647) op(e1, e1) = e2
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17606), (17647), (function-axioms) are
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2423.
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (17648) ~ (all_50_1 = e1) & op(e2, e0) = all_50_1 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17569), (17614), (17648), (function-axioms) are
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #272.
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | (17649) (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 =
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (161), (14935), (17603), (17649),
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | #88.
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.65 | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | (17650) (all_57_14 = e1 & op(e0, e1) = e1) | (all_57_15 =
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (158), (14935), (17602), (17650),
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | #15.
% 225.23/38.65 | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.65 | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.65 | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | (17651) all_55_10 = e0
% 225.23/38.65 | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (17587), (17651) are inconsistent by
% 225.23/38.65 | | | | | | | | | | | | | | | | | | sub-proof #2118.
% 225.23/38.65 | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | End of split
% 225.23/38.65 | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | End of split
% 225.23/38.65 | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | End of split
% 225.23/38.65 | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | Case 2:
% 225.23/38.65 | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | (17652) all_38_2 = e2
% 225.23/38.65 | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | COMBINE_EQS: (249), (17652) imply:
% 225.23/38.65 | | | | | | | | | | | | | | | (17653) all_6_2 = e2
% 225.23/38.65 | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | REDUCE: (14936), (17653) imply:
% 225.23/38.65 | | | | | | | | | | | | | | | (17654) ~ (e3 = e2)
% 225.23/38.65 | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | REDUCE: (39), (17653) imply:
% 225.23/38.65 | | | | | | | | | | | | | | | (17655) op(e1, e1) = e2
% 225.23/38.65 | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 225.23/38.65 | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | Case 1:
% 225.23/38.65 | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | (17656) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_2 = e2
% 225.23/38.65 | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 225.23/38.65 | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | BETA: splitting (17656) gives:
% 225.23/38.65 | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.65 | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | (17657) all_57_0 = e2 & op(e3, e3) = e2
% 225.23/38.65 | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | ALPHA: (17657) implies:
% 225.23/38.65 | | | | | | | | | | | | | | | | | (17658) op(e3, e3) = e2
% 225.23/38.65 | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17345), (17658), (function-axioms) are
% 225.23/38.65 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1950.
% 225.23/38.65 | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.65 | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | (17659) all_57_2 = e2 & op(e2, e3) = e2
% 225.23/38.65 | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | ALPHA: (17659) implies:
% 225.23/38.65 | | | | | | | | | | | | | | | | | (17660) all_57_2 = e2
% 225.23/38.65 | | | | | | | | | | | | | | | | | (17661) op(e2, e3) = e2
% 225.23/38.65 | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.65 | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | (17662) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 225.23/38.65 | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 225.23/38.65 | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | BETA: splitting (17662) gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | (17663) all_57_0 = e2 & op(e3, e3) = e2
% 225.23/38.65 | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | ALPHA: (17663) implies:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | (17664) op(e3, e3) = e2
% 225.23/38.65 | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17345), (17664), (function-axioms) are
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1950.
% 225.23/38.65 | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | (17665) all_57_1 = e2 & op(e3, e2) = e2
% 225.23/38.65 | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | ALPHA: (17665) implies:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | (17666) op(e3, e2) = e2
% 225.23/38.65 | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_1, e2,
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (168), (17661) gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | (17667) all_53_1 = e2
% 225.23/38.65 | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_4, e2,
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (171), (17666) gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | (17668) all_53_4 = e2
% 225.23/38.65 | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | REDUCE: (149), (17667) imply:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | (17669) ~ (all_53_3 = e2)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | REDUCE: (146), (17667) imply:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | (17670) ~ (all_53_13 = e2)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | REDUCE: (136), (17668) imply:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | (17671) ~ (all_53_7 = e2)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | REDUCE: (135), (17668) imply:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | (17672) ~ (all_53_8 = e2)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | SIMP: (17672) implies:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | (17673) ~ (all_53_8 = e2)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | REDUCE: (134), (17668) imply:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | (17674) ~ (all_53_12 = e2)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | (17675) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (42), (14937), (17585), (17661), (17666),
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | (17675), (function-axioms) are inconsistent by
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | sub-proof #27.
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | (17676) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | BETA: splitting (17676) gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | (17677) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (17585), (17655), (17677), (function-axioms)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #26.
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | (17678) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | ALPHA: (17678) implies:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | (17679) op(e0, e0) = all_52_31
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | (17680) op(e0, e1) = all_52_29
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | (17681) op(e0, e3) = all_52_25
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | (17682) op(all_52_31, all_52_31) = e0
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | (17683) op(all_52_29, all_52_29) = e1
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | (17684) op(all_52_25, all_52_25) = e3
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | all_52_31, e0, e0, simplifying with (14935),
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | (17679) gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | (17685) all_52_31 = e2
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_11,
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | all_52_29, e1, e0, simplifying with (158), (17680)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | (17686) all_53_11 = all_52_29
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_3,
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | all_52_25, e3, e0, simplifying with (160), (17681)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | (17687) all_53_3 = all_52_25
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | (17688) all_55_2 = e3
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (17688) imply:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | (17689) all_53_8 = e3
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | SIMP: (17689) implies:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | (17690) all_53_8 = e3
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (124), (17690) imply:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | (17691) ~ (all_53_9 = e3)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | SIMP: (17691) implies:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | (17692) ~ (all_53_9 = e3)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (17690) imply:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | (17693) ~ (all_53_12 = e3)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | SIMP: (17693) implies:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | (17694) ~ (all_53_12 = e3)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | (17695) all_55_3 = e3
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (17695) imply:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | (17696) all_53_12 = e3
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17694), (17696) imply:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | (17697) $false
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17697) is inconsistent.
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | (17698) ~ (all_55_3 = e3)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | (17699) all_55_3 = e2 | all_55_3 = e1 | all_55_3 = e0
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17699) gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | (17700) all_55_3 = e2
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (14927), (17700) are inconsistent by
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1612.
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | (17701) ~ (all_55_3 = e2)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | (17702) all_55_3 = e1 | all_55_3 = e0
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17702) gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | (17703) all_55_3 = e1
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (17341), (17703) are inconsistent by
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #324.
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | (17704) all_55_3 = e0
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (17704) imply:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | (17705) all_53_12 = e0
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17705) implies:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | (17706) all_53_12 = e0
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (17706) imply:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | (17707) ~ (all_53_14 = e0)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17707) implies:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | (17708) ~ (all_53_14 = e0)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14927), (17706) imply:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | (17709) ~ (e2 = e0)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17341), (17706) imply:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | (17710) ~ (e1 = e0)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (17711) all_57_15 = e0 & op(e0, e0) = e0
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17711) implies:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (17712) all_57_15 = e0
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (17713) op(e0, e0) = e0
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (85), (107),
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (160), (161), (163), (164), (166), (170),
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (208), (209), (210), (214), (218), (247),
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (17334), (17335), (17338), (17340), (17345),
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (17575), (17577), (17585), (17587), (17708),
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (17712), (17713), (function-axioms) are
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #300.
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (17714) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17714) implies:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (17715) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17716) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (42), (14937), (17660), (17716),
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | #14.
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17717) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17717) gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17718) all_57_5 = e3 & op(e2, e1) = e3
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (17692), (17718), (function-axioms) are
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #270.
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17719) all_57_10 = e3 & op(e2, e0) = e3
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17719) implies:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17720) all_57_10 = e3
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17721) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17721) gives:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17722) all_57_4 = e0 & op(e3, e1) = e0
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17722) implies:
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17723) all_57_4 = e0
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (219),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (14935), (14936), (17576), (17679),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17681), (17684), (17715), (17723),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #13.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17724) all_57_5 = e0 & op(e2, e1) = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17724) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17725) all_57_5 = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17584), (17585), (17720), (17725),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2348.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17726) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17726) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17727) all_57_8 = e0 & op(e1, e1) = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (17587), (17727), (function-axioms) are
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2412.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17728) all_57_14 = e0 & op(e0, e1) = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17728) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17729) op(e0, e1) = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (268), (17341), (17587), (17679), (17680),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17682), (17683), (17702), (17729),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #35.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | (17730) ~ (all_55_2 = e3)
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | (17731) all_55_2 = e2 | all_55_2 = e1 | all_55_2 = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (269), (17730) imply:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | (17732) ~ (all_53_8 = e3)
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17731) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | (17733) all_55_2 = e2
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (17733) imply:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | (17734) all_53_8 = e2
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17673), (17734) imply:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | (17735) $false
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17735) is inconsistent.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | (17736) ~ (all_55_2 = e2)
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | (17737) all_55_2 = e1 | all_55_2 = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17737) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | (17738) all_55_2 = e1
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (17738) imply:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | (17739) all_53_8 = e1
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17340), (17739) imply:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | (17740) $false
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17740) is inconsistent.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | (17741) all_55_2 = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (17741) imply:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | (17742) all_53_8 = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (124), (17742) imply:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | (17743) ~ (all_53_9 = e0)
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (17742) imply:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | (17744) ~ (all_53_12 = e0)
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17744) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | (17745) ~ (all_53_12 = e0)
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17673), (17742) imply:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | (17746) ~ (e2 = e0)
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17340), (17742) imply:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | (17747) ~ (e1 = e0)
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | (17748) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17748) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (17749) all_57_4 = e0 & op(e3, e1) = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17749) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (17750) all_57_4 = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17751) all_57_15 = e0 & op(e0, e0) = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17751) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17752) op(e0, e0) = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14935), (17752), (function-axioms) are
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #86.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17753) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17753) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17754) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (219),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (14935), (14936), (17576), (17679),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17681), (17684), (17750), (17754),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | #13.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (17755) all_57_5 = e0 & op(e2, e1) = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (17577), (17755), (function-axioms) are
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2023.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | (17756) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17756) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (17757) all_57_8 = e0 & op(e1, e1) = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (17587), (17757), (function-axioms) are
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2412.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (17758) all_57_14 = e0 & op(e0, e1) = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17758) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (17759) all_57_14 = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (17760) op(e0, e1) = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17761) all_55_3 = e3
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (17761) imply:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17762) all_53_12 = e3
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17762) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17763) all_53_12 = e3
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (17763) imply:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17764) ~ (all_53_13 = e3)
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17764) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17765) ~ (all_53_13 = e3)
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17766) all_57_15 = e0 & op(e0, e0) = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17766) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17767) all_57_15 = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17768) op(e0, e0) = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (208), (209),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (17338), (17759), (17767), (17768),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #320.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17769) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17769) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17770) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17771) (all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 & op(e1,
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17772) (all_57_12 = e1 & op(e0, e3) = e1) | (all_57_13 =
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17772) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17773) all_57_12 = e1 & op(e0, e3) = e1
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (17338), (17773), (function-axioms) are
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1947.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17774) all_57_13 = e1 & op(e0, e2) = e1
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17774) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17775) all_57_13 = e1
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17776) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17776) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17777) all_57_1 = e3 & op(e3, e2) = e3
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17777) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17778) op(e3, e2) = e3
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (17666), (17778), (function-axioms) are
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1549.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17779) all_57_3 = e3 & op(e2, e2) = e3
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17779) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17780) op(e2, e2) = e3
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (14937), (17780), (function-axioms) are
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #140.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17781) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17781) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17782) all_57_7 = e3 & op(e1, e2) = e3
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17782) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17783) all_57_7 = e3
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17784) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (42), (14937), (17660), (17784),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #14.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17785) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17785) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17786) all_57_5 = e3 & op(e2, e1) = e3
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17786) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17787) all_57_5 = e3
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17771) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17788) all_57_9 = e0 & op(e3, e0) = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (17745), (17788), (function-axioms) are
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2434.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17789) (all_57_10 = e0 & op(e2, e0) = e0) | (all_57_11 =
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17789) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17790) all_57_10 = e0 & op(e2, e0) = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17790) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17791) all_57_10 = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (223), (224), (17584),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17787), (17791) are inconsistent by sub-proof
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1518.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17792) all_57_11 = e0 & op(e1, e0) = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17792) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17793) all_57_11 = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17794) op(e1, e0) = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17795) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17795) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17796) all_57_0 = e0 & op(e3, e3) = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17796) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17797) op(e3, e3) = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (39), (42), (88), (107),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (111), (118), (119), (126), (140), (158), (159),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (161), (163), (165), (166), (168), (195),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (198), (199), (208), (209), (210), (211), (214),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (217), (218), (219), (221), (222), (224),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (228), (231), (233), (234), (237), (249),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (259), (336), (361), (364), (368), (14924),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14925), (14928), (14929), (14935), (14936),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14937), (17585), (17759), (17760), (17770),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17793), (17794), (17797), (function-axioms) are
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #22.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17798) all_57_1 = e0 & op(e3, e2) = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17798) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17799) all_57_1 = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (227), (228), (17584),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17783), (17799) are inconsistent by sub-proof
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2098.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17800) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17800) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17801) all_57_4 = e0 & op(e3, e1) = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17801) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17802) all_57_4 = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (219), (17655), (17759), (17787),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17802), (function-axioms) are inconsistent by
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2379.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17803) all_57_9 = e0 & op(e3, e0) = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (17745), (17803), (function-axioms) are
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2434.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17804) all_57_10 = e3 & op(e2, e0) = e3
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17804) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17805) op(e2, e0) = e3
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (17765), (17805), (function-axioms) are
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2301.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17806) all_57_13 = e3 & op(e0, e2) = e3
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (17775), (17806) are inconsistent by
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1977.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17807) (all_57_14 = e1 & op(e0, e1) = e1) | (all_57_15 =
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17807) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17808) all_57_14 = e1 & op(e0, e1) = e1
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (17759), (17808) are inconsistent by
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2381.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17809) all_57_15 = e1 & op(e0, e0) = e1
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17809) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17810) op(e0, e0) = e1
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (17587), (17679), (17682), (17810),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2086.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17811) all_55_3 = e2 | all_55_3 = e1 | all_55_3 = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (268), (14927), (17341), (17587), (17679),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17680), (17682), (17683), (17760), (17811),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | #34.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | (17812) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 225.23/38.66 | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 225.23/38.66 | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | BETA: splitting (17812) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | (17813) all_57_4 = e2 & op(e3, e1) = e2
% 225.23/38.66 | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | ALPHA: (17813) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | (17814) all_57_4 = e2
% 225.23/38.66 | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | (17815) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | BETA: splitting (17815) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | (17816) all_57_4 = e0 & op(e3, e1) = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | ALPHA: (17816) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | (17817) all_57_4 = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17814), (17817) imply:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | (17818) e2 = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17660), (17818) imply:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | (17819) all_57_2 = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | (17584), (17819) are inconsistent by sub-proof
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | #2246.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | (17820) all_57_5 = e0 & op(e2, e1) = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (17577), (17820), (function-axioms) are
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2023.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | (17821) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | BETA: splitting (17821) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | (17822) all_57_8 = e0 & op(e1, e1) = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (17587), (17822), (function-axioms) are
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2412.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | (17823) all_57_14 = e0 & op(e0, e1) = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | ALPHA: (17823) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | (17824) all_57_14 = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | (17825) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17825) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | (17826) all_57_4 = e1 & op(e3, e1) = e1
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (17340), (17826), (function-axioms) are
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #116.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | (17827) all_57_5 = e1 & op(e2, e1) = e1
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17827) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | (17828) all_57_5 = e1
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (218), (221),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | (14936), (17587), (17814), (17828),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | #339.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | (17829) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17829) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | (17830) all_57_8 = e1 & op(e1, e1) = e1
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17830) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | (17831) op(e1, e1) = e1
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17655), (17831), (function-axioms) are
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2423.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | (17832) all_57_14 = e1 & op(e0, e1) = e1
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17832) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | (17833) all_57_14 = e1
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (17824), (17833) are inconsistent by
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2122.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | (17834) all_57_9 = e2 & op(e3, e0) = e2
% 225.23/38.66 | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | ALPHA: (17834) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | (17835) op(e3, e0) = e2
% 225.23/38.66 | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (14927), (17835), (function-axioms) are
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2331.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | (17836) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_12 =
% 225.23/38.66 | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 225.23/38.66 | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | BETA: splitting (17836) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | (17837) all_57_6 = e2 & op(e1, e3) = e2
% 225.23/38.66 | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | ALPHA: (17837) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | (17838) all_57_6 = e2
% 225.23/38.66 | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | (17839) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 225.23/38.66 | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | BETA: splitting (17839) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | (17840) all_57_6 = e0 & op(e1, e3) = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | ALPHA: (17840) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | (17841) all_57_6 = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (17838), (17841) are inconsistent by
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | sub-proof #1846.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | (17842) all_57_7 = e0 & op(e1, e2) = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (17575), (17842), (function-axioms) are
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2039.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | (17843) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 225.23/38.66 | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 225.23/38.66 | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | BETA: splitting (17843) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | (17844) all_57_8 = e0 & op(e1, e1) = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (17587), (17844), (function-axioms) are
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2412.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | (17845) all_57_11 = e0 & op(e1, e0) = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | ALPHA: (17845) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | (17846) all_57_11 = e0
% 225.23/38.66 | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | (17847) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | BETA: splitting (17847) gives:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | (17848) all_57_6 = e1 & op(e1, e3) = e1
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (17337), (17848), (function-axioms) are
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #316.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | (17849) all_57_7 = e1 & op(e1, e2) = e1
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | ALPHA: (17849) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | (17850) all_57_7 = e1
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (39), (214), (217),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | (14936), (17587), (17838), (17850),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | | #342.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | (17851) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (17655), (17846), (17851),
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | | #1861.
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | (17852) all_57_12 = e2 & op(e0, e3) = e2
% 225.23/38.66 | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | ALPHA: (17852) implies:
% 225.23/38.66 | | | | | | | | | | | | | | | | | (17853) op(e0, e3) = e2
% 225.23/38.66 | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (14924), (17853), (function-axioms) are
% 225.23/38.66 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1980.
% 225.23/38.66 | | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | End of split
% 225.23/38.66 | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | Case 2:
% 225.23/38.66 | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | (17854) all_24_2 = e0
% 225.23/38.66 | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | COMBINE_EQS: (315), (17854) imply:
% 225.23/38.66 | | | | | | | | | | | | | (17855) all_6_2 = e0
% 225.23/38.66 | | | | | | | | | | | | |
% 225.23/38.66 | | | | | | | | | | | | | REDUCE: (350), (17855) imply:
% 225.23/38.67 | | | | | | | | | | | | | (17856) ~ (all_53_2 = e0)
% 225.23/38.67 | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | REDUCE: (363), (17855) imply:
% 225.23/38.67 | | | | | | | | | | | | | (17857) ~ (all_53_8 = e0)
% 225.23/38.67 | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | BETA: splitting (231) gives:
% 225.23/38.67 | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | Case 1:
% 225.23/38.67 | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | (17858) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 225.23/38.67 | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 225.23/38.67 | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | REF_CLOSE: (4), (171), (17344), (17574), (17858),
% 225.23/38.67 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.67 | | | | | | | | | | | | | | #298.
% 225.23/38.67 | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | Case 2:
% 225.23/38.67 | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | (17859) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 225.23/38.67 | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 225.23/38.67 | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | BETA: splitting (17859) gives:
% 225.23/38.67 | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | Case 1:
% 225.23/38.67 | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | (17860) all_57_4 = e0 & op(e3, e1) = e0
% 225.23/38.67 | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | ALPHA: (17860) implies:
% 225.23/38.67 | | | | | | | | | | | | | | | (17861) op(e3, e1) = e0
% 225.23/38.67 | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | REF_CLOSE: (170), (17857), (17861), (function-axioms) are
% 225.23/38.67 | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 225.23/38.67 | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | Case 2:
% 225.23/38.67 | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | (17862) all_57_9 = e0 & op(e3, e0) = e0
% 225.23/38.67 | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | ALPHA: (17862) implies:
% 225.23/38.67 | | | | | | | | | | | | | | | (17863) op(e3, e0) = e0
% 225.23/38.67 | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 225.23/38.67 | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | Case 1:
% 225.23/38.67 | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | (17864) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 225.23/38.67 | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 225.23/38.67 | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 225.23/38.67 | | | | | | | | | | | | | | | | (17344), (17584), (17864) are inconsistent by
% 225.23/38.67 | | | | | | | | | | | | | | | | sub-proof #297.
% 225.23/38.67 | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | Case 2:
% 225.23/38.67 | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | (17865) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 225.23/38.67 | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 225.23/38.67 | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | BETA: splitting (17865) gives:
% 225.23/38.67 | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.67 | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | (17866) all_57_6 = e0 & op(e1, e3) = e0
% 225.23/38.67 | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | ALPHA: (17866) implies:
% 225.23/38.67 | | | | | | | | | | | | | | | | | (17867) op(e1, e3) = e0
% 225.23/38.67 | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (17856), (17867), (function-axioms) are
% 225.23/38.67 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2154.
% 225.23/38.67 | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.67 | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | (17868) all_57_12 = e0 & op(e0, e3) = e0
% 225.23/38.67 | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | ALPHA: (17868) implies:
% 225.23/38.67 | | | | | | | | | | | | | | | | | (17869) op(e0, e3) = e0
% 225.23/38.67 | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_3, e0,
% 225.23/38.67 | | | | | | | | | | | | | | | | | e3, e0, simplifying with (160), (17869) gives:
% 225.23/38.67 | | | | | | | | | | | | | | | | | (17870) all_53_3 = e0
% 225.23/38.67 | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_12,
% 225.23/38.67 | | | | | | | | | | | | | | | | | e0, e0, e3, simplifying with (169), (17863) gives:
% 225.23/38.67 | | | | | | | | | | | | | | | | | (17871) all_53_12 = e0
% 225.23/38.67 | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | REDUCE: (141), (17870) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | (17872) ~ (all_53_7 = e0)
% 225.23/38.67 | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | REDUCE: (140), (17870) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | (17873) ~ (all_53_11 = e0)
% 225.23/38.67 | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | SIMP: (17873) implies:
% 225.23/38.67 | | | | | | | | | | | | | | | | | (17874) ~ (all_53_11 = e0)
% 225.23/38.67 | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | REDUCE: (113), (17871) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | (17875) ~ (all_53_14 = e0)
% 225.23/38.67 | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | SIMP: (17875) implies:
% 225.23/38.67 | | | | | | | | | | | | | | | | | (17876) ~ (all_53_14 = e0)
% 225.23/38.67 | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | REDUCE: (14927), (17871) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | (17877) ~ (e2 = e0)
% 225.23/38.67 | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 225.23/38.67 | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.67 | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | (17878) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 225.23/38.67 | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 225.23/38.67 | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 225.23/38.67 | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 225.23/38.67 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 225.23/38.67 | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 225.23/38.67 | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 225.23/38.67 | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 225.23/38.67 | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 225.23/38.67 | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 225.23/38.67 | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 225.23/38.67 | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 225.23/38.67 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 225.23/38.67 | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 225.23/38.67 | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 225.23/38.67 | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | BETA: splitting (17878) gives:
% 225.23/38.67 | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | (17879) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 225.23/38.67 | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | ALPHA: (17879) implies:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | (17880) op(e3, e0) = all_52_7
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | (17881) op(all_52_7, all_52_7) = e0
% 225.23/38.67 | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14935), (17863), (17880), (17881),
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | #47.
% 225.23/38.67 | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | (17882) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 225.23/38.67 | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | ALPHA: (17882) implies:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | (17883) op(e2, e1) = all_52_13
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | (17884) op(e2, e2) = all_52_11
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | (17885) op(e2, e3) = all_52_9
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | (17886) op(all_52_13, all_52_13) = e1
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | (17887) op(all_52_9, all_52_9) = e3
% 225.23/38.67 | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_9,
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | all_52_13, e1, e2, simplifying with (166), (17883)
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | gives:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | (17888) all_53_9 = all_52_13
% 225.23/38.67 | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | all_52_11, e2, e2, simplifying with (17585),
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | (17884) gives:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | (17889) all_52_11 = e0
% 225.23/38.67 | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_1,
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | all_52_9, e3, e2, simplifying with (168), (17885)
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | gives:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | (17890) all_53_1 = all_52_9
% 225.23/38.67 | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (17888) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | (17891) all_55_6 = all_52_13
% 225.23/38.67 | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (17890) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | (17892) all_55_4 = all_52_9
% 225.23/38.67 | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | REDUCE: (150), (17890) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | (17893) ~ (all_53_2 = all_52_9)
% 225.23/38.67 | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | SIMP: (17893) implies:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | (17894) ~ (all_53_2 = all_52_9)
% 225.23/38.67 | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | REDUCE: (17336), (17890) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | (17895) ~ (all_52_9 = e1)
% 225.23/38.67 | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | REDUCE: (17573), (17890) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | (17896) ~ (all_52_9 = e0)
% 225.23/38.67 | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | REDUCE: (124), (17888) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | (17897) ~ (all_53_8 = all_52_13)
% 225.23/38.67 | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | REDUCE: (119), (17888) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | (17898) ~ (all_53_11 = all_52_13)
% 225.23/38.67 | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | SIMP: (17898) implies:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | (17899) ~ (all_53_11 = all_52_13)
% 225.23/38.67 | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | REDUCE: (17577), (17888) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | (17900) ~ (all_52_13 = e0)
% 225.23/38.67 | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | (17901) all_55_1 = e3
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (17901) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | (17902) all_53_4 = e3
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | SIMP: (17902) implies:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | (17903) all_53_4 = e3
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (17903) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | (17904) ~ (all_53_6 = e3)
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | SIMP: (17904) implies:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | (17905) ~ (all_53_6 = e3)
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (17903) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | (17906) ~ (all_53_7 = e3)
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | SIMP: (17906) implies:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | (17907) ~ (all_53_7 = e3)
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | (17908) all_55_13 = e3
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (17908) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | (17909) all_53_7 = e3
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | REDUCE: (17907), (17909) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | (17910) $false
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | CLOSE: (17910) is inconsistent.
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | (17911) all_55_13 = e2 | all_55_13 = e1 | all_55_13 = e0
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17911) gives:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | (17912) all_55_13 = e2
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (17912) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | (17913) all_53_7 = e2
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14925), (17913) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | (17914) $false
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17914) is inconsistent.
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | (17915) all_55_13 = e1 | all_55_13 = e0
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17915) gives:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | (17916) all_55_13 = e1
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (17916) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | (17917) all_53_7 = e1
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (17917) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | (17918) ~ (all_53_6 = e1)
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | (17919) all_55_9 = e3
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (17905), (17919) are inconsistent by
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2159.
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | (17920) all_55_9 = e2 | all_55_9 = e1 | all_55_9 = e0
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17920) gives:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | (17921) all_55_9 = e2
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (17921) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | (17922) all_53_6 = e2
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17922) implies:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | (17923) all_53_6 = e2
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (17923) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | (17924) ~ (all_53_2 = e2)
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (17925) all_55_8 = e3
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (17925) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (17926) all_53_2 = e3
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17926) implies:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (17927) all_53_2 = e3
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17894), (17927) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (17928) ~ (all_52_9 = e3)
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17928) implies:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (17929) ~ (all_52_9 = e3)
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17930) all_55_4 = e3
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17892), (17930) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17931) all_52_9 = e3
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17931) implies:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17932) all_52_9 = e3
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17929), (17932) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17933) $false
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17933) is inconsistent.
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17934) all_55_4 = e2 | all_55_4 = e1 | all_55_4 = e0
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (14937), (17887), (17892), (17895), (17896),
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17934), (function-axioms) are inconsistent by
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #12.
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (17935) all_55_8 = e2 | all_55_8 = e1 | all_55_8 = e0
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17935) gives:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17936) all_55_8 = e2
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (17924), (17936) are inconsistent by
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2406.
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17937) all_55_8 = e1 | all_55_8 = e0
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (160), (257), (17337), (17869), (17937),
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2365.
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | (17938) all_55_9 = e1 | all_55_9 = e0
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (17575), (17918), (17938) are inconsistent
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1835.
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | (17939) all_55_13 = e0
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (17939) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | (17940) all_53_7 = e0
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17576), (17940) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | (17941) $false
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17941) is inconsistent.
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | (17942) all_55_1 = e2 | all_55_1 = e1 | all_55_1 = e0
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | BETA: splitting (17942) gives:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | (17943) all_55_1 = e2
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (17943) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | (17944) all_53_4 = e2
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | SIMP: (17944) implies:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | (17945) all_53_4 = e2
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (17945) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | (17946) ~ (all_53_8 = e2)
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | SIMP: (17946) implies:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | (17947) ~ (all_53_8 = e2)
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | (17948) all_55_2 = e3
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (17948) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | (17949) all_53_8 = e3
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | SIMP: (17949) implies:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | (17950) all_53_8 = e3
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (17950) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | (17951) ~ (all_53_11 = e3)
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | SIMP: (17951) implies:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | (17952) ~ (all_53_11 = e3)
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17897), (17950) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | (17953) ~ (all_52_13 = e3)
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | SIMP: (17953) implies:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | (17954) ~ (all_52_13 = e3)
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | (17955) all_55_14 = e3
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (245), (17952), (17955) are inconsistent by
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2294.
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | (17956) all_55_14 = e2 | all_55_14 = e1 | all_55_14 = e0
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17956) gives:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | (17957) all_55_14 = e2
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (17957) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | (17958) all_53_11 = e2
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14926), (17958) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | (17959) $false
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17959) is inconsistent.
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | (17960) all_55_14 = e1 | all_55_14 = e0
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17960) gives:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | (17961) all_55_14 = e1
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (17961) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | (17962) all_53_11 = e1
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17899), (17962) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | (17963) ~ (all_52_13 = e1)
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17963) implies:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | (17964) ~ (all_52_13 = e1)
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (199), (17585), (17886), (17891), (17900),
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | (17954), (17964), (function-axioms) are
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #24.
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | (17965) all_55_14 = e0
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (17965) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | (17966) all_53_11 = e0
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17874), (17966) imply:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | (17967) $false
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17967) is inconsistent.
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | (17968) all_55_2 = e2 | all_55_2 = e1 | all_55_2 = e0
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (17340), (17857), (17947), (17968) are
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1937.
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | (17969) all_55_1 = e1 | all_55_1 = e0
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (17339), (17574), (17969) are inconsistent
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | | by sub-proof #1730.
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.67 | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.67 | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.67 | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | (17970) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 225.23/38.67 | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 225.23/38.67 | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 225.23/38.67 | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 225.23/38.67 | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 225.23/38.67 | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 225.23/38.67 | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 225.23/38.67 | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 225.23/38.67 | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 225.23/38.67 | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 225.23/38.67 | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 225.23/38.67 | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 225.23/38.67 | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 225.23/38.67 | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 225.23/38.67 | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 225.23/38.67 | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 225.23/38.67 | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | BETA: splitting (17970) gives:
% 225.23/38.67 | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | Case 1:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | (17971) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 225.23/38.67 | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (161), (163), (164), (214), (14935), (17575),
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | (17856), (17876), (17971), (function-axioms) are
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #38.
% 225.23/38.67 | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | Case 2:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | (17972) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 225.23/38.67 | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | ALPHA: (17972) implies:
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | (17973) op(e0, e0) = all_52_31
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | (17974) op(e0, e3) = all_52_25
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | (17975) op(all_52_25, all_52_25) = e3
% 225.23/38.67 | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14935), (17869), (17973), (17974), (17975),
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.67 | | | | | | | | | | | | | | | | | | | #31.
% 225.23/38.67 | | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | | End of split
% 225.23/38.67 | | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | | End of split
% 225.23/38.67 | | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | | End of split
% 225.23/38.67 | | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | | End of split
% 225.23/38.67 | | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | | End of split
% 225.23/38.67 | | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | | End of split
% 225.23/38.67 | | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | | End of split
% 225.23/38.67 | | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | End of split
% 225.23/38.67 | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | Case 2:
% 225.23/38.67 | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | (17976) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 225.23/38.67 | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 225.23/38.67 | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | | REF_CLOSE: (165), (166), (17577), (17578), (17976),
% 225.23/38.67 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.23/38.67 | | | | | | | | | | | #2022.
% 225.23/38.67 | | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | | End of split
% 225.23/38.67 | | | | | | | | | |
% 225.23/38.67 | | | | | | | | | End of split
% 225.23/38.67 | | | | | | | | |
% 225.23/38.67 | | | | | | | | Case 2:
% 225.23/38.67 | | | | | | | | |
% 225.23/38.67 | | | | | | | | | (17977) all_57_2 = e1 & op(e2, e3) = e1
% 225.23/38.67 | | | | | | | | |
% 225.23/38.67 | | | | | | | | | REF_CLOSE: (168), (17336), (17977), (function-axioms) are
% 225.23/38.67 | | | | | | | | | inconsistent by sub-proof #2156.
% 225.23/38.67 | | | | | | | | |
% 225.23/38.67 | | | | | | | | End of split
% 225.23/38.67 | | | | | | | |
% 225.23/38.67 | | | | | | | Case 2:
% 225.23/38.67 | | | | | | | |
% 225.23/38.67 | | | | | | | | (17978) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_12 = e1 &
% 225.23/38.67 | | | | | | | | op(e0, e3) = e1)
% 225.23/38.67 | | | | | | | |
% 225.23/38.67 | | | | | | | | BETA: splitting (17978) gives:
% 225.23/38.67 | | | | | | | |
% 225.23/38.67 | | | | | | | | Case 1:
% 225.23/38.67 | | | | | | | | |
% 225.23/38.67 | | | | | | | | | (17979) all_57_6 = e1 & op(e1, e3) = e1
% 225.23/38.67 | | | | | | | | |
% 225.23/38.67 | | | | | | | | | REF_CLOSE: (164), (17337), (17979), (function-axioms) are
% 225.23/38.67 | | | | | | | | | inconsistent by sub-proof #316.
% 225.23/38.67 | | | | | | | | |
% 225.23/38.67 | | | | | | | | Case 2:
% 225.23/38.67 | | | | | | | | |
% 225.23/38.67 | | | | | | | | | (17980) all_57_12 = e1 & op(e0, e3) = e1
% 225.23/38.67 | | | | | | | | |
% 225.23/38.67 | | | | | | | | | REF_CLOSE: (160), (17338), (17980), (function-axioms) are
% 225.23/38.67 | | | | | | | | | inconsistent by sub-proof #1947.
% 225.23/38.67 | | | | | | | | |
% 225.23/38.67 | | | | | | | | End of split
% 225.23/38.67 | | | | | | | |
% 225.23/38.67 | | | | | | | End of split
% 225.23/38.67 | | | | | | |
% 225.23/38.67 | | | | | | End of split
% 225.23/38.67 | | | | | |
% 225.23/38.67 | | | | | Case 2:
% 225.23/38.67 | | | | | |
% 225.23/38.67 | | | | | | (17981) all_8_2 = e3
% 225.23/38.67 | | | | | | (17982) ( ~ (all_8_0 = e0) & op(all_8_1, e2) = all_8_0 & op(e2,
% 225.23/38.67 | | | | | | e3) = all_8_1 & $i(all_8_0) & $i(all_8_1)) | ( ~
% 225.23/38.67 | | | | | | (all_8_1 = e1) & op(e2, e3) = all_8_1 & $i(all_8_1))
% 225.23/38.67 | | | | | |
% 225.23/38.67 | | | | | | COMBINE_EQS: (297), (17981) imply:
% 225.23/38.67 | | | | | | (17983) all_44_2 = e3
% 225.23/38.67 | | | | | |
% 225.23/38.67 | | | | | | REDUCE: (349), (17981) imply:
% 225.23/38.67 | | | | | | (17984) ~ (all_53_1 = e3)
% 225.23/38.67 | | | | | |
% 225.23/38.67 | | | | | | REDUCE: (352), (17981) imply:
% 225.23/38.67 | | | | | | (17985) ~ (all_53_4 = e3)
% 225.23/38.67 | | | | | |
% 225.23/38.67 | | | | | | REDUCE: (354), (17981) imply:
% 225.23/38.67 | | | | | | (17986) ~ (all_53_6 = e3)
% 225.23/38.67 | | | | | |
% 225.23/38.67 | | | | | | REDUCE: (356), (17981) imply:
% 225.23/38.67 | | | | | | (17987) ~ (all_53_7 = e3)
% 225.23/38.67 | | | | | |
% 225.23/38.67 | | | | | | REDUCE: (358), (17981) imply:
% 225.23/38.67 | | | | | | (17988) ~ (all_53_9 = e3)
% 225.23/38.67 | | | | | |
% 225.23/38.67 | | | | | | REDUCE: (360), (17981) imply:
% 225.23/38.67 | | | | | | (17989) ~ (all_53_13 = e3)
% 225.23/38.67 | | | | | |
% 225.23/38.67 | | | | | | BETA: splitting (225) gives:
% 225.23/38.67 | | | | | |
% 225.23/38.67 | | | | | | Case 1:
% 225.23/38.67 | | | | | | |
% 225.23/38.67 | | | | | | | (17990) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3 &
% 225.23/38.67 | | | | | | | op(e2, e2) = e3)
% 225.23/38.67 | | | | | | |
% 225.23/38.67 | | | | | | | BETA: splitting (17990) gives:
% 225.23/38.67 | | | | | | |
% 225.23/38.67 | | | | | | | Case 1:
% 225.23/38.67 | | | | | | | |
% 225.23/38.67 | | | | | | | | (17991) all_57_2 = e3 & op(e2, e3) = e3
% 225.23/38.67 | | | | | | | |
% 225.23/38.67 | | | | | | | | REF_CLOSE: (168), (17984), (17991), (function-axioms) are
% 225.23/38.67 | | | | | | | | inconsistent by sub-proof #2299.
% 225.23/38.67 | | | | | | | |
% 225.23/38.67 | | | | | | | Case 2:
% 225.23/38.67 | | | | | | | |
% 225.23/38.67 | | | | | | | | (17992) all_57_3 = e3 & op(e2, e2) = e3
% 225.23/38.67 | | | | | | | |
% 225.23/38.67 | | | | | | | | ALPHA: (17992) implies:
% 225.23/38.67 | | | | | | | | (17993) all_57_3 = e3
% 225.23/38.67 | | | | | | | | (17994) op(e2, e2) = e3
% 225.23/38.67 | | | | | | | |
% 225.23/38.67 | | | | | | | | BETA: splitting (46) gives:
% 225.23/38.67 | | | | | | | |
% 225.23/38.67 | | | | | | | | Case 1:
% 225.23/38.67 | | | | | | | | |
% 225.58/38.67 | | | | | | | | | (17995) ~ (all_10_2 = e1)
% 225.58/38.67 | | | | | | | | |
% 225.58/38.67 | | | | | | | | | BETA: splitting (58) gives:
% 225.58/38.67 | | | | | | | | |
% 225.58/38.67 | | | | | | | | | Case 1:
% 225.58/38.67 | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | (17996) ~ (all_18_2 = e0)
% 225.58/38.67 | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | REDUCE: (327), (17996) imply:
% 225.58/38.67 | | | | | | | | | | (17997) ~ (all_10_2 = e0)
% 225.58/38.67 | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | BETA: splitting (61) gives:
% 225.58/38.67 | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | Case 1:
% 225.58/38.67 | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | (17998) ~ (all_20_2 = e2)
% 225.58/38.67 | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | REDUCE: (299), (17998) imply:
% 225.58/38.67 | | | | | | | | | | | (17999) ~ (all_10_2 = e2)
% 225.58/38.67 | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | BETA: splitting (205) gives:
% 225.58/38.67 | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | Case 1:
% 225.58/38.67 | | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | | (18000) all_55_0 = e3
% 225.58/38.67 | | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | | COMBINE_EQS: (277), (18000) imply:
% 225.58/38.67 | | | | | | | | | | | | (18001) all_10_2 = e3
% 225.58/38.67 | | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | | REDUCE: (342), (18001) imply:
% 225.58/38.67 | | | | | | | | | | | | (18002) ~ (all_53_3 = e3)
% 225.58/38.67 | | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | | REDUCE: (348), (18001) imply:
% 225.58/38.67 | | | | | | | | | | | | (18003) ~ (all_53_12 = e3)
% 225.58/38.67 | | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | | REDUCE: (45), (18001) imply:
% 225.58/38.67 | | | | | | | | | | | | (18004) op(e3, e3) = e3
% 225.58/38.67 | | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | | BETA: splitting (210) gives:
% 225.58/38.67 | | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | | Case 1:
% 225.58/38.67 | | | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | | | (18005) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 =
% 225.58/38.67 | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 225.58/38.67 | | | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | | | REF_CLOSE: (159), (160), (17987), (18002), (18005),
% 225.58/38.67 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.58/38.67 | | | | | | | | | | | | | #77.
% 225.58/38.67 | | | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | | Case 2:
% 225.58/38.67 | | | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | | | (18006) (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 =
% 225.58/38.67 | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 225.58/38.67 | | | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | | | BETA: splitting (18006) gives:
% 225.58/38.67 | | | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | | | Case 1:
% 225.58/38.67 | | | | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | | | | (18007) all_57_14 = e3 & op(e0, e1) = e3
% 225.58/38.67 | | | | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | | | | ALPHA: (18007) implies:
% 225.58/38.67 | | | | | | | | | | | | | | (18008) all_57_14 = e3
% 225.58/38.67 | | | | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 225.58/38.67 | | | | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | | | | Case 1:
% 225.58/38.67 | | | | | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | | | | | (18009) (all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 =
% 225.58/38.67 | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 225.58/38.67 | | | | | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (17989), (18003), (18009),
% 225.58/38.67 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.58/38.67 | | | | | | | | | | | | | | | #2300.
% 225.58/38.67 | | | | | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | | | | Case 2:
% 225.58/38.67 | | | | | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | | | | | (18010) (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 =
% 225.58/38.67 | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 225.58/38.67 | | | | | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | | | | | BETA: splitting (18010) gives:
% 225.58/38.67 | | | | | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | | | | | Case 1:
% 225.58/38.67 | | | | | | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | | | | | | (18011) all_57_11 = e3 & op(e1, e0) = e3
% 225.58/38.67 | | | | | | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | | | | | | ALPHA: (18011) implies:
% 225.58/38.67 | | | | | | | | | | | | | | | | (18012) op(e1, e0) = e3
% 225.58/38.67 | | | | | | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_14,
% 225.58/38.67 | | | | | | | | | | | | | | | | e3, e0, e1, simplifying with (161), (18012) gives:
% 225.58/38.67 | | | | | | | | | | | | | | | | (18013) all_53_14 = e3
% 225.58/38.67 | | | | | | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 225.58/38.67 | | | | | | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.67 | | | | | | | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | | | | | | | (18014) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 225.58/38.67 | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 225.58/38.67 | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 225.58/38.67 | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 225.58/38.67 | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 225.58/38.67 | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 225.58/38.67 | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 225.58/38.67 | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 225.58/38.67 | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 225.58/38.67 | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 225.58/38.67 | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 225.58/38.67 | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 225.58/38.67 | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 225.58/38.67 | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 225.58/38.67 | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 225.58/38.67 | | | | | | | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (169), (170), (171), (235),
% 225.58/38.67 | | | | | | | | | | | | | | | | | (17985), (17994), (18004), (18014),
% 225.58/38.67 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.58/38.67 | | | | | | | | | | | | | | | | | #94.
% 225.58/38.67 | | | | | | | | | | | | | | | | |
% 225.58/38.67 | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.67 | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | (18015) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 225.58/38.68 | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 225.58/38.68 | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 225.58/38.68 | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 225.58/38.68 | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 225.58/38.68 | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 225.58/38.68 | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 225.58/38.68 | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 225.58/38.68 | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 225.58/38.68 | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 225.58/38.68 | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 225.58/38.68 | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 225.58/38.68 | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 225.58/38.68 | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 225.58/38.68 | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 225.58/38.68 | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 225.58/38.68 | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | BETA: splitting (18015) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | (18016) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 225.58/38.68 | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 225.58/38.68 | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 225.58/38.68 | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 225.58/38.68 | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 225.58/38.68 | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 225.58/38.68 | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 225.58/38.68 | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 225.58/38.68 | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18004), (18012), (18016), (function-axioms)
% 225.58/38.68 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #254.
% 225.58/38.68 | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.68 | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | (18017) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 225.58/38.68 | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 225.58/38.68 | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 225.58/38.68 | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 225.58/38.68 | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 225.58/38.68 | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 225.58/38.68 | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 225.58/38.68 | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 225.58/38.68 | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | ALPHA: (18017) implies:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | (18018) op(e0, e0) = all_52_31
% 225.58/38.68 | | | | | | | | | | | | | | | | | | (18019) op(all_52_31, all_52_31) = e0
% 225.58/38.68 | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14935), (17994), (18018), (18019),
% 225.58/38.68 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.58/38.68 | | | | | | | | | | | | | | | | | | #11.
% 225.58/38.68 | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | End of split
% 225.58/38.68 | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | End of split
% 225.58/38.68 | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | Case 2:
% 225.58/38.68 | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | (18020) all_57_15 = e3 & op(e0, e0) = e3
% 225.58/38.68 | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | ALPHA: (18020) implies:
% 225.58/38.68 | | | | | | | | | | | | | | | | (18021) all_57_15 = e3
% 225.58/38.68 | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (207), (208), (209),
% 225.58/38.68 | | | | | | | | | | | | | | | | (18008), (18021) are inconsistent by sub-proof
% 225.58/38.68 | | | | | | | | | | | | | | | | #2312.
% 225.58/38.68 | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | End of split
% 225.58/38.68 | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | End of split
% 225.58/38.68 | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | Case 2:
% 225.58/38.68 | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | (18022) all_57_15 = e3 & op(e0, e0) = e3
% 225.58/38.68 | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | ALPHA: (18022) implies:
% 225.58/38.68 | | | | | | | | | | | | | | (18023) all_57_15 = e3
% 225.58/38.68 | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | REF_CLOSE: (9), (14934), (18023) are inconsistent by
% 225.58/38.68 | | | | | | | | | | | | | | sub-proof #2058.
% 225.58/38.68 | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | End of split
% 225.58/38.68 | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | End of split
% 225.58/38.68 | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | Case 2:
% 225.58/38.68 | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | (18024) all_55_0 = e2 | all_55_0 = e1 | all_55_0 = e0
% 225.58/38.68 | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | REF_CLOSE: (277), (17995), (17997), (17999), (18024) are
% 225.58/38.68 | | | | | | | | | | | | inconsistent by sub-proof #1953.
% 225.58/38.68 | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | End of split
% 225.58/38.68 | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | Case 2:
% 225.58/38.68 | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | (18025) all_20_2 = e2
% 225.58/38.68 | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | COMBINE_EQS: (299), (18025) imply:
% 225.58/38.68 | | | | | | | | | | | (18026) all_10_2 = e2
% 225.58/38.68 | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | SIMP: (18026) implies:
% 225.58/38.68 | | | | | | | | | | | (18027) all_10_2 = e2
% 225.58/38.68 | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | REDUCE: (338), (18027) imply:
% 225.58/38.68 | | | | | | | | | | | (18028) ~ (all_53_1 = e2)
% 225.58/38.68 | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | REDUCE: (45), (18027) imply:
% 225.58/38.68 | | | | | | | | | | | (18029) op(e3, e3) = e2
% 225.58/38.68 | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | BETA: splitting (228) gives:
% 225.58/38.68 | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | (18030) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 225.58/38.68 | | | | | | | | | | | | & op(e2, e2) = e2)
% 225.58/38.68 | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (237),
% 225.58/38.68 | | | | | | | | | | | | (17994), (18029), (18030), (function-axioms) are
% 225.58/38.68 | | | | | | | | | | | | inconsistent by sub-proof #104.
% 225.58/38.68 | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | Case 2:
% 225.58/38.68 | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | (18031) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 225.58/38.68 | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 225.58/38.68 | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | BETA: splitting (18031) gives:
% 225.58/38.68 | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | (18032) all_57_7 = e2 & op(e1, e2) = e2
% 225.58/38.68 | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | ALPHA: (18032) implies:
% 225.58/38.68 | | | | | | | | | | | | | (18033) all_57_7 = e2
% 225.58/38.68 | | | | | | | | | | | | | (18034) op(e1, e2) = e2
% 225.58/38.68 | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | BETA: splitting (224) gives:
% 225.58/38.68 | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | (18035) (all_57_2 = e2 & op(e2, e3) = e2) | (all_57_3 = e2
% 225.58/38.68 | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 225.58/38.68 | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (17994), (18028), (18035),
% 225.58/38.68 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.58/38.68 | | | | | | | | | | | | | | #242.
% 225.58/38.68 | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | Case 2:
% 225.58/38.68 | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | (18036) (all_57_5 = e2 & op(e2, e1) = e2) | (all_57_10 =
% 225.58/38.68 | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 225.58/38.68 | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | BETA: splitting (18036) gives:
% 225.58/38.68 | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | (18037) all_57_5 = e2 & op(e2, e1) = e2
% 225.58/38.68 | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | ALPHA: (18037) implies:
% 225.58/38.68 | | | | | | | | | | | | | | | (18038) all_57_5 = e2
% 225.58/38.68 | | | | | | | | | | | | | | | (18039) op(e2, e1) = e2
% 225.58/38.68 | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_6, e2,
% 225.58/38.68 | | | | | | | | | | | | | | | e2, e1, simplifying with (163), (18034) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | (18040) all_53_6 = e2
% 225.58/38.68 | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_9, e2,
% 225.58/38.68 | | | | | | | | | | | | | | | e1, e2, simplifying with (166), (18039) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | (18041) all_53_9 = e2
% 225.58/38.68 | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | REDUCE: (144), (18040) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | (18042) ~ (all_53_2 = e2)
% 225.58/38.68 | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | REDUCE: (127), (18040) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | (18043) ~ (all_53_14 = e2)
% 225.58/38.68 | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | REDUCE: (124), (18041) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | (18044) ~ (all_53_8 = e2)
% 225.58/38.68 | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | REDUCE: (119), (18041) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | (18045) ~ (all_53_11 = e2)
% 225.58/38.68 | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | REDUCE: (118), (18041) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | (18046) ~ (all_53_13 = e2)
% 225.58/38.68 | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | REDUCE: (364), (18041) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | (18047) ~ (all_6_2 = e2)
% 225.58/38.68 | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | SIMP: (18047) implies:
% 225.58/38.68 | | | | | | | | | | | | | | | (18048) ~ (all_6_2 = e2)
% 225.58/38.68 | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | REDUCE: (17988), (18041) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | (18049) ~ (e3 = e2)
% 225.58/38.68 | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 225.58/38.68 | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | (18050) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 225.58/38.68 | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 225.58/38.68 | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 225.58/38.68 | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 225.58/38.68 | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 225.58/38.68 | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 225.58/38.68 | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 225.58/38.68 | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 225.58/38.68 | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 225.58/38.68 | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 225.58/38.68 | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 225.58/38.68 | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 225.58/38.68 | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 225.58/38.68 | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 225.58/38.68 | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 225.58/38.68 | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | BETA: splitting (18050) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | (18051) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 225.58/38.68 | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 225.58/38.68 | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 225.58/38.68 | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 225.58/38.68 | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 225.58/38.68 | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 225.58/38.68 | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 225.58/38.68 | | | | | | | | | | | | | | | | | $i(all_52_7)
% 225.58/38.68 | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | ALPHA: (18051) implies:
% 225.58/38.68 | | | | | | | | | | | | | | | | | (18052) op(e3, e0) = all_52_7
% 225.58/38.68 | | | | | | | | | | | | | | | | | (18053) op(e3, e1) = all_52_5
% 225.58/38.68 | | | | | | | | | | | | | | | | | (18054) op(e3, e2) = all_52_3
% 225.58/38.68 | | | | | | | | | | | | | | | | | (18055) op(e3, e3) = all_52_1
% 225.58/38.68 | | | | | | | | | | | | | | | | | (18056) op(all_52_7, all_52_7) = e0
% 225.58/38.68 | | | | | | | | | | | | | | | | | (18057) op(all_52_5, all_52_5) = e1
% 225.58/38.68 | | | | | | | | | | | | | | | | | (18058) op(all_52_3, all_52_3) = e2
% 225.58/38.68 | | | | | | | | | | | | | | | | | (18059) op(all_52_1, all_52_1) = e3
% 225.58/38.68 | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_12,
% 225.58/38.68 | | | | | | | | | | | | | | | | | all_52_7, e0, e3, simplifying with (169), (18052)
% 225.58/38.68 | | | | | | | | | | | | | | | | | gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | (18060) all_53_12 = all_52_7
% 225.58/38.68 | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_8,
% 225.58/38.68 | | | | | | | | | | | | | | | | | all_52_5, e1, e3, simplifying with (170), (18053)
% 225.58/38.68 | | | | | | | | | | | | | | | | | gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | (18061) all_53_8 = all_52_5
% 225.58/38.68 | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_4,
% 225.58/38.68 | | | | | | | | | | | | | | | | | all_52_3, e2, e3, simplifying with (171), (18054)
% 225.58/38.68 | | | | | | | | | | | | | | | | | gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | (18062) all_53_4 = all_52_3
% 225.58/38.68 | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_52_1,
% 225.58/38.68 | | | | | | | | | | | | | | | | | e3, e3, simplifying with (18029), (18055) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | (18063) all_52_1 = e2
% 225.58/38.68 | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (18060) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | (18064) all_55_3 = all_52_7
% 225.58/38.68 | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (18061) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | (18065) all_55_2 = all_52_5
% 225.58/38.68 | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | REDUCE: (17985), (18062) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | (18066) ~ (all_52_3 = e3)
% 225.58/38.68 | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | REDUCE: (122), (18061) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | (18067) ~ (all_53_11 = all_52_5)
% 225.58/38.68 | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | SIMP: (18067) implies:
% 225.58/38.68 | | | | | | | | | | | | | | | | | (18068) ~ (all_53_11 = all_52_5)
% 225.58/38.68 | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | REDUCE: (363), (18061) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | (18069) ~ (all_52_5 = all_6_2)
% 225.58/38.68 | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | REDUCE: (18044), (18061) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | (18070) ~ (all_52_5 = e2)
% 225.58/38.68 | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | REDUCE: (114), (18060) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | (18071) ~ (all_53_13 = all_52_7)
% 225.58/38.68 | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | SIMP: (18071) implies:
% 225.58/38.68 | | | | | | | | | | | | | | | | | (18072) ~ (all_53_13 = all_52_7)
% 225.58/38.68 | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | REDUCE: (113), (18060) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | (18073) ~ (all_53_14 = all_52_7)
% 225.58/38.68 | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | SIMP: (18073) implies:
% 225.58/38.68 | | | | | | | | | | | | | | | | | (18074) ~ (all_53_14 = all_52_7)
% 225.58/38.68 | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | REDUCE: (14927), (18060) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | (18075) ~ (all_52_7 = e2)
% 225.58/38.68 | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | (18076) ~ (all_24_2 = e0)
% 225.58/38.68 | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | REDUCE: (315), (18076) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | (18077) ~ (all_6_2 = e0)
% 225.58/38.68 | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | (18078) all_55_10 = e3
% 225.58/38.68 | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (14936), (18078) are inconsistent by
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | sub-proof #2500.
% 225.58/38.68 | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | (18079) ~ (all_55_10 = e3)
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | (18080) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 225.58/38.68 | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | BETA: splitting (18080) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | (18081) all_55_10 = e2
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (18048), (18081) are inconsistent by
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | sub-proof #2499.
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | (18082) ~ (all_55_10 = e2)
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | (18083) all_55_10 = e1 | all_55_10 = e0
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | BETA: splitting (18083) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | (18084) all_55_10 = e1
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (18084) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | (18085) all_6_2 = e1
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | SIMP: (18085) implies:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | (18086) all_6_2 = e1
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (18086) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | (18087) ~ (all_53_2 = e1)
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (18086) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | (18088) ~ (all_53_11 = e1)
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (18086) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | (18089) ~ (all_53_14 = e1)
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | REDUCE: (18069), (18086) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | (18090) ~ (all_52_5 = e1)
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | REDUCE: (18048), (18086) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | (18091) ~ (e2 = e1)
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (18086) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | (18092) op(e1, e1) = e1
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | (18093) ~ (all_32_2 = e2)
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14923), (18093) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | (18094) $false
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18094) is inconsistent.
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | (18095) ( ~ (all_32_0 = e1) & op(all_32_1, e0) = all_32_0
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_32_1 & $i(all_32_0) &
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)) | ( ~ (all_32_1 = e3) & op(e0, e2)
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | (18096) all_55_7 = e3
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (18096) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | (18097) all_53_13 = e3
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17989), (18097) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | (18098) $false
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18098) is inconsistent.
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | (18099) all_55_7 = e2 | all_55_7 = e1 | all_55_7 = e0
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | (18100) all_55_11 = e3
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (18100) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | (18101) all_53_14 = e3
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18101) implies:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | (18102) all_53_14 = e3
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (142), (18102) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | (18103) ~ (all_53_2 = e3)
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | (18104) all_55_8 = e3
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (18103), (18104) are inconsistent by
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2496.
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | (18105) ~ (all_55_8 = e3)
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | (18106) all_55_8 = e2 | all_55_8 = e1 | all_55_8 = e0
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (18107) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_1 = e3
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (171), (235), (17985), (17994),
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (18052), (18053), (18054), (18056), (18057),
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (18058), (18066), (18107), (function-axioms) are
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #10.
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (18108) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_9 = e3
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18108) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (18109) all_57_4 = e3 & op(e3, e1) = e3
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18109) implies:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (18110) all_57_4 = e3
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18111) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_2 = e3
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (168), (235), (17984), (17994),
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18052), (18053), (18054), (18056), (18057),
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18058), (18066), (18111), (function-axioms) are
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #9.
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18112) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_12 =
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18112) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18113) all_57_6 = e3 & op(e1, e3) = e3
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (18103), (18113), (function-axioms) are
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #153.
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18114) all_57_12 = e3 & op(e0, e3) = e3
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18114) implies:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18115) all_57_12 = e3
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18116) (all_57_12 = e1 & op(e0, e3) = e1) | (all_57_13 =
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18116) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18117) all_57_12 = e1 & op(e0, e3) = e1
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18117) implies:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18118) all_57_12 = e1
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18115), (18118) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18119) e3 = e1
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18110), (18119) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18120) all_57_4 = e1
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (218), (220),
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (14936), (18038), (18092), (18120),
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2416.
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18121) all_57_13 = e1 & op(e0, e2) = e1
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18121) implies:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18122) op(e0, e2) = e1
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18106) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18123) all_55_8 = e2
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (18123) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18124) all_53_2 = e2
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18042), (18124) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18125) $false
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18125) is inconsistent.
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18126) all_55_8 = e1 | all_55_8 = e0
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18126) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18127) all_55_8 = e1
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (18127) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18128) all_53_2 = e1
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18087), (18128) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18129) $false
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18129) is inconsistent.
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18130) all_55_8 = e0
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (18130) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18131) all_53_2 = e0
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (18131) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18132) ~ (all_53_1 = e0)
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (18131) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18133) op(e1, e3) = e0
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18134) all_55_4 = e3
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (17984), (18134) are inconsistent by
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2170.
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18135) all_55_4 = e2 | all_55_4 = e1 | all_55_4 = e0
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18135) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18136) all_55_4 = e2
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (18028), (18136) are inconsistent by
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2168.
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18137) all_55_4 = e1 | all_55_4 = e0
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18137) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18138) all_55_4 = e1
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (18138) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18139) all_53_1 = e1
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18139) implies:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18140) all_53_1 = e1
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (18140) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18141) ~ (all_53_3 = e1)
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18141) implies:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18142) ~ (all_53_3 = e1)
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18143) all_55_12 = e3
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (18143) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18144) all_53_3 = e3
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18144) implies:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18145) all_53_3 = e3
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (18145) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18146) ~ (all_53_11 = e3)
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18146) implies:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18147) ~ (all_53_11 = e3)
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18148) all_55_14 = e3
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (245), (18147), (18148) are inconsistent by
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2294.
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18149) all_55_14 = e2 | all_55_14 = e1 | all_55_14 = e0
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18149) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18150) all_55_14 = e2
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (245), (14926), (18150) are inconsistent by
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2293.
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18151) all_55_14 = e1 | all_55_14 = e0
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18151) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18152) all_55_14 = e1
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (245), (18088), (18152) are inconsistent by
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2165.
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18153) all_55_14 = e0
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (18153) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18154) all_53_11 = e0
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18154) implies:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18155) all_53_11 = e0
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18068), (18155) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18156) ~ (all_52_5 = e0)
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18156) implies:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18157) ~ (all_52_5 = e0)
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18158) all_55_2 = e3
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18065), (18158) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18159) all_52_5 = e3
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18159) implies:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18160) all_52_5 = e3
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18057), (18160) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18161) op(e3, e3) = e1
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14922), (18055), (18059), (18092), (18095),
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18122), (18161), (function-axioms) are
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #18.
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18162) all_55_2 = e2 | all_55_2 = e1 | all_55_2 = e0
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18065), (18070), (18090), (18157), (18162) are
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #558.
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18163) all_55_12 = e2 | all_55_12 = e1 | all_55_12 = e0
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (247), (14924), (18133), (18142),
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18163), (function-axioms) are inconsistent by
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1336.
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18164) all_55_4 = e0
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (18132), (18164) are inconsistent by
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1865.
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18165) (all_57_14 = e1 & op(e0, e1) = e1) | (all_57_15 =
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (158), (14935), (18088), (18165),
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #15.
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (18166) all_57_9 = e3 & op(e3, e0) = e3
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18166) implies:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (18167) all_57_9 = e3
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18168) (all_57_9 = e1 & op(e3, e0) = e1) | (all_57_10 =
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18168) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18169) all_57_9 = e1 & op(e3, e0) = e1
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18169) implies:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18170) all_57_9 = e1
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18167), (18170) are inconsistent by
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1673.
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18171) all_57_10 = e1 & op(e2, e0) = e1
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18171) implies:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18172) all_57_10 = e1
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18106) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18173) all_55_8 = e2
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (18173) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18174) all_53_2 = e2
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18042), (18174) imply:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18175) $false
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18175) is inconsistent.
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18176) all_55_8 = e1 | all_55_8 = e0
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18177) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18177) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18178) all_57_2 = e0 & op(e2, e3) = e0
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18178) implies:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18179) op(e2, e3) = e0
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18176) gives:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18180) all_55_8 = e1
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (18087), (18180) are inconsistent by
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2367.
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18181) all_55_8 = e0
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (18181) imply:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18182) all_53_2 = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18182) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18183) all_53_2 = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (18183) imply:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18184) ~ (all_53_1 = e0)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (18179), (18184), (function-axioms) are
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1943.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18185) all_57_3 = e0 & op(e2, e2) = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18185) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18186) op(e2, e2) = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18029), (18055), (18059), (18186),
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1653.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18187) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18187) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18188) all_57_5 = e0 & op(e2, e1) = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (18038), (18188) are inconsistent by
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2428.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18189) all_57_10 = e0 & op(e2, e0) = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18172), (18189) are inconsistent by
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1332.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18190) (all_57_11 = e1 & op(e1, e0) = e1) | (all_57_15 =
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (161), (14935), (18089), (18190),
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #88.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | (18191) all_55_11 = e2 | all_55_11 = e1 | all_55_11 = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18191) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | (18192) all_55_11 = e2
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (14929), (18192) are inconsistent by
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2282.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | (18193) all_55_11 = e1 | all_55_11 = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18193) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (18194) all_55_11 = e1
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (18089), (18194) are inconsistent by
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2309.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (18195) all_55_11 = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (18195) imply:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (18196) all_53_14 = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18196) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (18197) all_53_14 = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (18197) imply:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (18198) ~ (all_53_13 = e0)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18074), (18197) imply:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (18199) ~ (all_52_7 = e0)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18199) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (18200) ~ (all_52_7 = e0)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18099) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (18201) all_55_7 = e2
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (14928), (18201) are inconsistent by
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2171.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (18202) all_55_7 = e1 | all_55_7 = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18202) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18203) all_55_7 = e1
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (18203) imply:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18204) all_53_13 = e1
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18204) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18205) all_53_13 = e1
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18072), (18205) imply:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18206) ~ (all_52_7 = e1)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18206) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18207) ~ (all_52_7 = e1)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (202), (14935), (18055), (18056), (18059),
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18064), (18075), (18200), (18207),
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #8.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18208) all_55_7 = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (18198), (18208) are inconsistent by
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2130.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | (18209) all_55_10 = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (18077), (18209) are inconsistent by
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | sub-proof #2118.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | (18210) all_24_2 = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (315), (18210) imply:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | (18211) all_6_2 = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | SIMP: (18211) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | (18212) all_6_2 = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | REDUCE: (350), (18212) imply:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | (18213) ~ (all_53_2 = e0)
% 225.58/38.69 | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | REDUCE: (368), (18212) imply:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | (18214) ~ (all_53_14 = e0)
% 225.58/38.69 | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | REDUCE: (18048), (18212) imply:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | (18215) ~ (e2 = e0)
% 225.58/38.69 | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | (18216) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_7 = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | BETA: splitting (18216) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | (18217) all_57_6 = e0 & op(e1, e3) = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | ALPHA: (18217) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | (18218) op(e1, e3) = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (18213), (18218), (function-axioms) are
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2154.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | (18219) all_57_7 = e0 & op(e1, e2) = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (18033), (18219) are inconsistent by
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | sub-proof #2148.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | (18220) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_11 =
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | BETA: splitting (18220) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | (18221) all_57_8 = e0 & op(e1, e1) = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | ALPHA: (18221) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | (18222) all_57_8 = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | (18223) op(e1, e1) = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | (18224) all_55_7 = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (18224) imply:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | (18225) all_53_13 = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | REDUCE: (17989), (18225) imply:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | (18226) $false
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | CLOSE: (18226) is inconsistent.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | (18227) all_55_7 = e2 | all_55_7 = e1 | all_55_7 = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | (18228) all_55_11 = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (18228) imply:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | (18229) all_53_14 = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | SIMP: (18229) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | (18230) all_53_14 = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (142), (18230) imply:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | (18231) ~ (all_53_2 = e3)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | (18232) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_1 = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (171), (235), (17985), (17994),
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | (18052), (18053), (18054), (18056), (18057),
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | (18058), (18066), (18232), (function-axioms) are
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #10.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | (18233) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_9 = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18233) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | (18234) all_57_4 = e3 & op(e3, e1) = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18234) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | (18235) all_57_4 = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | (18236) op(e3, e1) = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | (18237) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18237) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (18238) all_57_6 = e3 & op(e1, e3) = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (18231), (18238), (function-axioms) are
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #153.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (18239) all_57_7 = e3 & op(e1, e2) = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (17986), (18239), (function-axioms) are
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #267.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | (18240) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18240) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (18241) all_57_8 = e3 & op(e1, e1) = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18241) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (18242) op(e1, e1) = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (14936), (18242), (function-axioms) are
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (18243) all_57_11 = e3 & op(e1, e0) = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18243) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (18244) all_57_11 = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (18245) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (18038), (18235), (18245) are
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #200.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (18246) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18246) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18247) all_57_8 = e1 & op(e1, e1) = e1
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18247) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18248) op(e1, e1) = e1
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18223), (18248), (function-axioms) are
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2427.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18249) all_57_14 = e1 & op(e0, e1) = e1
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18249) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18250) all_57_14 = e1
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18251) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_2 = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (168), (235), (17984), (17994),
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18052), (18053), (18054), (18056), (18057),
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18058), (18066), (18251), (function-axioms) are
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #9.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18252) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_12 =
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18252) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18253) all_57_6 = e3 & op(e1, e3) = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (18231), (18253), (function-axioms) are
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #153.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18254) all_57_12 = e3 & op(e0, e3) = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18254) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18255) all_57_12 = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18256) all_57_15 = e0 & op(e0, e0) = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18256) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18257) op(e0, e0) = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14935), (18257), (function-axioms) are
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #86.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18258) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18258) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18259) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18260) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18260) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18261) all_57_6 = e1 & op(e1, e3) = e1
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18261) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18262) all_57_6 = e1
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18259) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18263) all_57_12 = e0 & op(e0, e3) = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18263) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18264) all_57_12 = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18255), (18264) imply:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18265) e3 = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17993), (18265) imply:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18266) all_57_3 = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (18029), (18255), (18262), (18266),
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1632.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18267) (all_57_13 = e0 & op(e0, e2) = e0) | (all_57_14 =
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18267) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18268) all_57_13 = e0 & op(e0, e2) = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18268) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18269) all_57_13 = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18270) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18270) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18271) all_57_1 = e1 & op(e3, e2) = e1
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18271) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18272) all_57_1 = e1
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18273) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18273) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18274) all_57_0 = e0 & op(e3, e3) = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18274) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18275) op(e3, e3) = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18053), (18055), (18057), (18236), (18275),
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #237.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18276) all_57_1 = e0 & op(e3, e2) = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18272), (18276) are inconsistent by
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2493.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18277) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18277) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18278) all_57_4 = e0 & op(e3, e1) = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (161), (163),
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (166), (171), (207), (211), (214), (216), (217),
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (221), (235), (237), (14935), (14936),
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17985), (17986), (17988), (17994), (18033),
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18038), (18052), (18053), (18054), (18056),
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18057), (18058), (18066), (18214), (18278),
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #7.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18279) all_57_9 = e0 & op(e3, e0) = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18279) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18280) op(e3, e0) = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14935), (18052), (18056), (18280),
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #47.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18281) all_57_3 = e1 & op(e2, e2) = e1
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18281) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18282) op(e2, e2) = e1
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (39), (107), (14935), (18029),
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18034), (18048), (18282), (function-axioms) are
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #44.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18283) (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_13 =
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18283) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18284) all_57_7 = e1 & op(e1, e2) = e1
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18284) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18285) all_57_7 = e1
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (39), (216), (217), (14936),
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18222), (18262), (18285), (function-axioms) are
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #325.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18286) all_57_13 = e1 & op(e0, e2) = e1
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18286) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18287) all_57_13 = e1
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18269), (18287) are inconsistent by
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1760.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18288) all_57_14 = e0 & op(e0, e1) = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18288) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18289) all_57_14 = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18250), (18289) are inconsistent by
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2122.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18290) all_57_7 = e1 & op(e1, e2) = e1
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18290) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18291) all_57_7 = e1
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18033), (18291) imply:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18292) e2 = e1
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18038), (18292) imply:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18293) all_57_5 = e1
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (220), (18222), (18235), (18250),
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18293) are inconsistent by sub-proof #1187.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18294) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (18223), (18244), (18294),
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #6.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | (18295) all_57_9 = e3 & op(e3, e0) = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18295) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | (18296) all_57_9 = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | (18297) op(e3, e0) = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | (18298) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18298) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (18299) all_57_6 = e3 & op(e1, e3) = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (18231), (18299), (function-axioms) are
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #153.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (18300) all_57_7 = e3 & op(e1, e2) = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (17986), (18300), (function-axioms) are
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #267.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | (18301) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 =
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18301) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (18302) all_57_8 = e3 & op(e1, e1) = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18302) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (18303) op(e1, e1) = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (14936), (18303), (function-axioms) are
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (18304) all_57_11 = e3 & op(e1, e0) = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18304) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (18305) all_57_11 = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (18306) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18306) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18307) all_57_0 = e0 & op(e3, e3) = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18307) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18308) op(e3, e3) = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14935), (18055), (18059), (18308),
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #53.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18309) all_57_1 = e0 & op(e3, e2) = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18309) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18310) all_57_1 = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18311) op(e3, e2) = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18312) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18312) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18313) all_57_1 = e1 & op(e3, e2) = e1
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18310), (18313) are inconsistent by
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2446.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18314) all_57_3 = e1 & op(e2, e2) = e1
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18314) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18315) op(e2, e2) = e1
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (39), (107), (14935), (18029),
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18034), (18048), (18315), (function-axioms) are
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #44.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18316) (all_57_7 = e1 & op(e1, e2) = e1) | (all_57_13 =
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18316) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18317) all_57_7 = e1 & op(e1, e2) = e1
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (18033), (18317) are inconsistent by
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2190.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18318) all_57_13 = e1 & op(e0, e2) = e1
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18318) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18319) all_57_13 = e1
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18320) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_2 = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (168), (235), (17984), (17994),
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18052), (18053), (18054), (18056), (18057),
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18058), (18066), (18320), (function-axioms) are
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #9.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18321) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_12 =
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18321) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18322) all_57_6 = e3 & op(e1, e3) = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (18231), (18322), (function-axioms) are
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #153.
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18323) all_57_12 = e3 & op(e0, e3) = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18323) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18324) all_57_12 = e3
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18325) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18325) gives:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18326) all_57_0 = e0 & op(e3, e3) = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18326) implies:
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18327) op(e3, e3) = e0
% 225.58/38.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14935), (18055), (18059), (18327),
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #53.
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18328) all_57_2 = e0 & op(e2, e3) = e0
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18328) implies:
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18329) all_57_2 = e0
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18330) (all_57_6 = e1 & op(e1, e3) = e1) | (all_57_7 = e1
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18330) gives:
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18331) all_57_6 = e1 & op(e1, e3) = e1
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18331) implies:
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18332) all_57_6 = e1
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18333) all_57_15 = e0 & op(e0, e0) = e0
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18333) implies:
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18334) op(e0, e0) = e0
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (18054), (18058), (18311), (18334),
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2399.
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18335) ((all_57_9 = e0 & op(e3, e0) = e0) | (all_57_10 =
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_57_11 = e0 &
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_57_12 = e0 & op(e0,
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_57_13 = e0 & op(e0, e2) =
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_57_14 = e0 & op(e0, e1) = e0))
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18335) implies:
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18336) (all_57_12 = e0 & op(e0, e3) = e0) | (all_57_13 =
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_57_14 = e0 & op(e0,
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18336) gives:
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18337) all_57_12 = e0 & op(e0, e3) = e0
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18337) implies:
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18338) all_57_12 = e0
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18324), (18338) imply:
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18339) e3 = e0
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17993), (18339) imply:
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18340) all_57_3 = e0
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18329), (18340) are inconsistent by sub-proof
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2246.
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18341) (all_57_13 = e0 & op(e0, e2) = e0) | (all_57_14 =
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18341) gives:
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18342) all_57_13 = e0 & op(e0, e2) = e0
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18342) implies:
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18343) all_57_13 = e0
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18319), (18343) are inconsistent by
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1760.
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18344) all_57_14 = e0 & op(e0, e1) = e0
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18344) implies:
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18345) all_57_14 = e0
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18346) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18346) gives:
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18347) all_57_4 = e3 & op(e3, e1) = e3
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18347) implies:
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18348) all_57_4 = e3
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18349) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18349) gives:
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18350) all_57_4 = e1 & op(e3, e1) = e1
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.58/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18350) implies:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18351) all_57_4 = e1
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18348), (18351) imply:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18352) e3 = e1
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18296), (18352) imply:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18353) all_57_9 = e1
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (231), (237), (18029),
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18351), (18353), (function-axioms) are
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1672.
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18354) all_57_5 = e1 & op(e2, e1) = e1
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18354) implies:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18355) all_57_5 = e1
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18038), (18355) imply:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18356) e2 = e1
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18033), (18356) imply:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18357) all_57_7 = e1
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (39), (216), (217), (14936),
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18222), (18332), (18357), (function-axioms) are
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #325.
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18358) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18223), (18345), (18358), (function-axioms)
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #81.
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18359) all_57_5 = e3 & op(e2, e1) = e3
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (17988), (18359), (function-axioms) are
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #270.
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18360) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18360) gives:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18361) all_57_8 = e3 & op(e1, e1) = e3
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18361) implies:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18362) op(e1, e1) = e3
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (14936), (18362), (function-axioms) are
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18363) all_57_14 = e3 & op(e0, e1) = e3
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18363) implies:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18364) all_57_14 = e3
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18345), (18364) imply:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18365) e3 = e0
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17993), (18365) imply:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18366) all_57_3 = e0
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18329), (18366) are inconsistent by sub-proof
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2246.
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18367) all_57_7 = e1 & op(e1, e2) = e1
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (18033), (18367) are inconsistent by
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2190.
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18368) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_11 =
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (18223), (18305), (18368),
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #6.
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18369) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18369) gives:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18370) all_57_6 = e0 & op(e1, e3) = e0
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18370) implies:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18371) op(e1, e3) = e0
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (18213), (18371), (function-axioms) are
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2154.
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18372) all_57_12 = e0 & op(e0, e3) = e0
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18324), (18372) are inconsistent by
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2237.
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (18373) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18373) gives:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18374) all_57_4 = e0 & op(e3, e1) = e0
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (161), (163),
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (166), (171), (207), (211), (214), (216), (217),
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (221), (235), (237), (14935), (14936),
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17985), (17986), (17988), (17994), (18033),
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18038), (18052), (18053), (18054), (18056),
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18057), (18058), (18066), (18214), (18374),
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #7.
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18375) all_57_9 = e0 & op(e3, e0) = e0
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18375) implies:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18376) op(e3, e0) = e0
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18297), (18376), (function-axioms) are
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #313.
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | (18377) all_55_11 = e2 | all_55_11 = e1 | all_55_11 = e0
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18377) gives:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | (18378) all_55_11 = e2
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (14929), (18378) are inconsistent by
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2282.
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | (18379) all_55_11 = e1 | all_55_11 = e0
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18379) gives:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | (18380) all_55_11 = e1
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (18380) imply:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | (18381) all_53_14 = e1
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18381) implies:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | (18382) all_53_14 = e1
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (18382) imply:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | (18383) ~ (all_53_13 = e1)
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18074), (18382) imply:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | (18384) ~ (all_52_7 = e1)
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18384) implies:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | (18385) ~ (all_52_7 = e1)
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18227) gives:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | (18386) all_55_7 = e2
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (14928), (18386) are inconsistent by
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2171.
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | (18387) all_55_7 = e1 | all_55_7 = e0
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18387) gives:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (18388) all_55_7 = e1
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (18383), (18388) are inconsistent by
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1970.
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (18389) all_55_7 = e0
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (18389) imply:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (18390) all_53_13 = e0
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18390) implies:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (18391) all_53_13 = e0
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18072), (18391) imply:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (18392) ~ (all_52_7 = e0)
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18392) implies:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (18393) ~ (all_52_7 = e0)
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (202), (14935), (18055), (18056), (18059),
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (18064), (18075), (18385), (18393),
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | | #8.
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | (18394) all_55_11 = e0
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (18214), (18394) are inconsistent by
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2308.
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | (18395) all_57_11 = e0 & op(e1, e0) = e0
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (18214), (18395), (function-axioms) are
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2341.
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.70 | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | (18396) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 225.63/38.70 | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 225.63/38.70 | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 225.63/38.70 | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 225.63/38.70 | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 225.63/38.70 | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 225.63/38.70 | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 225.63/38.70 | | | | | | | | | | | | | | | | | $i(all_52_15)
% 225.63/38.70 | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | ALPHA: (18396) implies:
% 225.63/38.70 | | | | | | | | | | | | | | | | | (18397) op(e2, e1) = all_52_13
% 225.63/38.70 | | | | | | | | | | | | | | | | | (18398) op(e2, e2) = all_52_11
% 225.63/38.70 | | | | | | | | | | | | | | | | | (18399) op(all_52_13, all_52_13) = e1
% 225.63/38.70 | | | | | | | | | | | | | | | | | (18400) op(all_52_11, all_52_11) = e2
% 225.63/38.70 | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 225.63/38.70 | | | | | | | | | | | | | | | | | all_52_13, e1, e2, simplifying with (18039),
% 225.63/38.70 | | | | | | | | | | | | | | | | | (18397) gives:
% 225.63/38.70 | | | | | | | | | | | | | | | | | (18401) all_52_13 = e2
% 225.63/38.70 | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 225.63/38.70 | | | | | | | | | | | | | | | | | all_52_11, e2, e2, simplifying with (17994),
% 225.63/38.70 | | | | | | | | | | | | | | | | | (18398) gives:
% 225.63/38.70 | | | | | | | | | | | | | | | | | (18402) all_52_11 = e3
% 225.63/38.70 | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | REDUCE: (18399), (18401) imply:
% 225.63/38.70 | | | | | | | | | | | | | | | | | (18403) op(e2, e2) = e1
% 225.63/38.70 | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (39), (107), (14935), (18029),
% 225.63/38.70 | | | | | | | | | | | | | | | | | (18034), (18048), (18403), (function-axioms) are
% 225.63/38.70 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #44.
% 225.63/38.70 | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | Case 2:
% 225.63/38.70 | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | (18404) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 225.63/38.70 | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 225.63/38.70 | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 225.63/38.70 | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 225.63/38.70 | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 225.63/38.70 | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 225.63/38.70 | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 225.63/38.70 | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 225.63/38.70 | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 225.63/38.70 | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 225.63/38.70 | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 225.63/38.70 | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 225.63/38.70 | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 225.63/38.70 | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 225.63/38.70 | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 225.63/38.70 | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 225.63/38.70 | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | BETA: splitting (18404) gives:
% 225.63/38.70 | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.70 | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | (18405) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 225.63/38.70 | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 225.63/38.70 | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 225.63/38.70 | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 225.63/38.70 | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 225.63/38.70 | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 225.63/38.70 | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 225.63/38.70 | | | | | | | | | | | | | | | | | $i(all_52_23)
% 225.63/38.70 | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | ALPHA: (18405) implies:
% 225.63/38.70 | | | | | | | | | | | | | | | | | (18406) op(e1, e2) = all_52_19
% 225.63/38.70 | | | | | | | | | | | | | | | | | (18407) op(all_52_19, all_52_19) = e2
% 225.63/38.70 | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 225.63/38.70 | | | | | | | | | | | | | | | | | all_52_19, e2, e1, simplifying with (18034),
% 225.63/38.70 | | | | | | | | | | | | | | | | | (18406) gives:
% 225.63/38.70 | | | | | | | | | | | | | | | | | (18408) all_52_19 = e2
% 225.63/38.70 | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | REDUCE: (18407), (18408) imply:
% 225.63/38.70 | | | | | | | | | | | | | | | | | (18409) op(e2, e2) = e2
% 225.63/38.70 | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (17994), (18409), (function-axioms) are
% 225.63/38.70 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2298.
% 225.63/38.70 | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.70 | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | (18410) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 225.63/38.70 | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 225.63/38.70 | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 225.63/38.70 | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 225.63/38.70 | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 225.63/38.70 | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 225.63/38.70 | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 225.63/38.70 | | | | | | | | | | | | | | | | | $i(all_52_31)
% 225.63/38.70 | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | ALPHA: (18410) implies:
% 225.63/38.70 | | | | | | | | | | | | | | | | | (18411) op(e0, e0) = all_52_31
% 225.63/38.70 | | | | | | | | | | | | | | | | | (18412) op(all_52_31, all_52_31) = e0
% 225.63/38.70 | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (14935), (17994), (18411), (18412),
% 225.63/38.70 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.70 | | | | | | | | | | | | | | | | | #11.
% 225.63/38.70 | | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | Case 2:
% 225.63/38.70 | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | (18413) all_57_10 = e2 & op(e2, e0) = e2
% 225.63/38.70 | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | | REF_CLOSE: (165), (14928), (18413), (function-axioms) are
% 225.63/38.70 | | | | | | | | | | | | | | | inconsistent by sub-proof #2432.
% 225.63/38.70 | | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | Case 2:
% 225.63/38.70 | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | (18414) all_57_13 = e2 & op(e0, e2) = e2
% 225.63/38.70 | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | ALPHA: (18414) implies:
% 225.63/38.70 | | | | | | | | | | | | | (18415) op(e0, e2) = e2
% 225.63/38.70 | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | | REF_CLOSE: (159), (14925), (18415), (function-axioms) are
% 225.63/38.70 | | | | | | | | | | | | | inconsistent by sub-proof #2335.
% 225.63/38.70 | | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | Case 2:
% 225.63/38.70 | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | (18416) all_18_2 = e0
% 225.63/38.70 | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | COMBINE_EQS: (327), (18416) imply:
% 225.63/38.70 | | | | | | | | | | (18417) all_10_2 = e0
% 225.63/38.70 | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | SIMP: (18417) implies:
% 225.63/38.70 | | | | | | | | | | (18418) all_10_2 = e0
% 225.63/38.70 | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | REDUCE: (338), (18418) imply:
% 225.63/38.70 | | | | | | | | | | (18419) ~ (all_53_1 = e0)
% 225.63/38.70 | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | REDUCE: (340), (18418) imply:
% 225.63/38.70 | | | | | | | | | | (18420) ~ (all_53_2 = e0)
% 225.63/38.70 | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | REDUCE: (342), (18418) imply:
% 225.63/38.70 | | | | | | | | | | (18421) ~ (all_53_3 = e0)
% 225.63/38.70 | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | REDUCE: (344), (18418) imply:
% 225.63/38.70 | | | | | | | | | | (18422) ~ (all_53_4 = e0)
% 225.63/38.70 | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | REDUCE: (348), (18418) imply:
% 225.63/38.70 | | | | | | | | | | (18423) ~ (all_53_12 = e0)
% 225.63/38.70 | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | REDUCE: (45), (18418) imply:
% 225.63/38.70 | | | | | | | | | | (18424) op(e3, e3) = e0
% 225.63/38.70 | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | BETA: splitting (107) gives:
% 225.63/38.70 | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | Case 1:
% 225.63/38.70 | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | (18425) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 225.63/38.70 | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 225.63/38.70 | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 225.63/38.70 | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 225.63/38.70 | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 225.63/38.70 | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 225.63/38.70 | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 225.63/38.70 | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 225.63/38.70 | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 225.63/38.70 | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 225.63/38.70 | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 225.63/38.70 | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 225.63/38.70 | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 225.63/38.70 | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 225.63/38.70 | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 225.63/38.70 | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | BETA: splitting (18425) gives:
% 225.63/38.70 | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | Case 1:
% 225.63/38.70 | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | (18426) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 225.63/38.70 | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 225.63/38.70 | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 225.63/38.70 | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 225.63/38.70 | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 225.63/38.70 | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 225.63/38.70 | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 225.63/38.70 | | | | | | | | | | | | $i(all_52_7)
% 225.63/38.70 | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | ALPHA: (18426) implies:
% 225.63/38.70 | | | | | | | | | | | | (18427) op(e3, e3) = all_52_1
% 225.63/38.70 | | | | | | | | | | | | (18428) op(all_52_1, all_52_1) = e3
% 225.63/38.70 | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | REF_CLOSE: (9), (14935), (18424), (18427), (18428),
% 225.63/38.70 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.70 | | | | | | | | | | | | #53.
% 225.63/38.70 | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | Case 2:
% 225.63/38.70 | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | (18429) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 225.63/38.70 | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 225.63/38.70 | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 225.63/38.70 | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 225.63/38.70 | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 225.63/38.70 | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 225.63/38.70 | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 225.63/38.70 | | | | | | | | | | | | $i(all_52_15)
% 225.63/38.70 | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | REF_CLOSE: (5), (17994), (18424), (18429), (function-axioms)
% 225.63/38.70 | | | | | | | | | | | | are inconsistent by sub-proof #209.
% 225.63/38.70 | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | End of split
% 225.63/38.70 | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | Case 2:
% 225.63/38.70 | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | (18430) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 225.63/38.70 | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 225.63/38.70 | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 225.63/38.70 | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 225.63/38.70 | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 225.63/38.70 | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 225.63/38.70 | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 225.63/38.70 | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 225.63/38.70 | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 225.63/38.70 | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 225.63/38.70 | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 225.63/38.70 | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 225.63/38.70 | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 225.63/38.70 | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 225.63/38.70 | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 225.63/38.70 | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 225.63/38.70 | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | BETA: splitting (18430) gives:
% 225.63/38.70 | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | Case 1:
% 225.63/38.70 | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | (18431) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 225.63/38.70 | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 225.63/38.70 | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 225.63/38.70 | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 225.63/38.70 | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 225.63/38.70 | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 225.63/38.70 | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 225.63/38.70 | | | | | | | | | | | | $i(all_52_23)
% 225.63/38.70 | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | ALPHA: (18431) implies:
% 225.63/38.70 | | | | | | | | | | | | (18432) op(e1, e0) = all_52_23
% 225.63/38.70 | | | | | | | | | | | | (18433) op(e1, e1) = all_52_21
% 225.63/38.70 | | | | | | | | | | | | (18434) op(e1, e2) = all_52_19
% 225.63/38.70 | | | | | | | | | | | | (18435) op(e1, e3) = all_52_17
% 225.63/38.70 | | | | | | | | | | | | (18436) op(all_52_23, all_52_23) = e0
% 225.63/38.70 | | | | | | | | | | | | (18437) op(all_52_21, all_52_21) = e1
% 225.63/38.70 | | | | | | | | | | | | (18438) op(all_52_19, all_52_19) = e2
% 225.63/38.70 | | | | | | | | | | | | (18439) op(all_52_17, all_52_17) = e3
% 225.63/38.70 | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_14,
% 225.63/38.70 | | | | | | | | | | | | all_52_23, e0, e1, simplifying with (161), (18432)
% 225.63/38.70 | | | | | | | | | | | | gives:
% 225.63/38.70 | | | | | | | | | | | | (18440) all_53_14 = all_52_23
% 225.63/38.70 | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 225.63/38.70 | | | | | | | | | | | | all_52_21, e1, e1, simplifying with (39), (18433)
% 225.63/38.70 | | | | | | | | | | | | gives:
% 225.63/38.70 | | | | | | | | | | | | (18441) all_52_21 = all_6_2
% 225.63/38.70 | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_6,
% 225.63/38.70 | | | | | | | | | | | | all_52_19, e2, e1, simplifying with (163), (18434)
% 225.63/38.70 | | | | | | | | | | | | gives:
% 225.63/38.70 | | | | | | | | | | | | (18442) all_53_6 = all_52_19
% 225.63/38.70 | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_2,
% 225.63/38.70 | | | | | | | | | | | | all_52_17, e3, e1, simplifying with (164), (18435)
% 225.63/38.70 | | | | | | | | | | | | gives:
% 225.63/38.70 | | | | | | | | | | | | (18443) all_53_2 = all_52_17
% 225.63/38.70 | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | COMBINE_EQS: (256), (18442) imply:
% 225.63/38.70 | | | | | | | | | | | | (18444) all_55_9 = all_52_19
% 225.63/38.70 | | | | | | | | | | | |
% 225.63/38.70 | | | | | | | | | | | | COMBINE_EQS: (257), (18443) imply:
% 225.63/38.70 | | | | | | | | | | | | (18445) all_55_8 = all_52_17
% 225.63/38.70 | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | REDUCE: (150), (18443) imply:
% 225.63/38.71 | | | | | | | | | | | | (18446) ~ (all_53_1 = all_52_17)
% 225.63/38.71 | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | REDUCE: (145), (18443) imply:
% 225.63/38.71 | | | | | | | | | | | | (18447) ~ (all_53_3 = all_52_17)
% 225.63/38.71 | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | SIMP: (18447) implies:
% 225.63/38.71 | | | | | | | | | | | | (18448) ~ (all_53_3 = all_52_17)
% 225.63/38.71 | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | REDUCE: (18420), (18443) imply:
% 225.63/38.71 | | | | | | | | | | | | (18449) ~ (all_52_17 = e0)
% 225.63/38.71 | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | REDUCE: (361), (18442) imply:
% 225.63/38.71 | | | | | | | | | | | | (18450) ~ (all_52_19 = all_6_2)
% 225.63/38.71 | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | REDUCE: (17986), (18442) imply:
% 225.63/38.71 | | | | | | | | | | | | (18451) ~ (all_52_19 = e3)
% 225.63/38.71 | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | REDUCE: (18437), (18441) imply:
% 225.63/38.71 | | | | | | | | | | | | (18452) op(all_6_2, all_6_2) = e1
% 225.63/38.71 | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | BETA: splitting (67) gives:
% 225.63/38.71 | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | (18453) ~ (all_24_2 = e0)
% 225.63/38.71 | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | REDUCE: (315), (18453) imply:
% 225.63/38.71 | | | | | | | | | | | | | (18454) ~ (all_6_2 = e0)
% 225.63/38.71 | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | BETA: splitting (88) gives:
% 225.63/38.71 | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | (18455) ~ (all_38_2 = e2)
% 225.63/38.71 | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | REDUCE: (249), (18455) imply:
% 225.63/38.71 | | | | | | | | | | | | | | (18456) ~ (all_6_2 = e2)
% 225.63/38.71 | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 225.63/38.71 | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | (18457) all_55_10 = e3
% 225.63/38.71 | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | REF_CLOSE: (336), (14936), (18457) are inconsistent by
% 225.63/38.71 | | | | | | | | | | | | | | | sub-proof #2500.
% 225.63/38.71 | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | (18458) ~ (all_55_10 = e3)
% 225.63/38.71 | | | | | | | | | | | | | | | (18459) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 225.63/38.71 | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | BETA: splitting (18459) gives:
% 225.63/38.71 | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | (18460) all_55_10 = e2
% 225.63/38.71 | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | REF_CLOSE: (336), (18456), (18460) are inconsistent by
% 225.63/38.71 | | | | | | | | | | | | | | | | sub-proof #2499.
% 225.63/38.71 | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | (18461) ~ (all_55_10 = e2)
% 225.63/38.71 | | | | | | | | | | | | | | | | (18462) all_55_10 = e1 | all_55_10 = e0
% 225.63/38.71 | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | BETA: splitting (18462) gives:
% 225.63/38.71 | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | (18463) all_55_10 = e1
% 225.63/38.71 | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (18463) imply:
% 225.63/38.71 | | | | | | | | | | | | | | | | | (18464) all_6_2 = e1
% 225.63/38.71 | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | SIMP: (18464) implies:
% 225.63/38.71 | | | | | | | | | | | | | | | | | (18465) all_6_2 = e1
% 225.63/38.71 | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | REDUCE: (366), (18465) imply:
% 225.63/38.71 | | | | | | | | | | | | | | | | | (18466) ~ (all_53_11 = e1)
% 225.63/38.71 | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | REDUCE: (18450), (18465) imply:
% 225.63/38.71 | | | | | | | | | | | | | | | | | (18467) ~ (all_52_19 = e1)
% 225.63/38.71 | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | REDUCE: (14936), (18465) imply:
% 225.63/38.71 | | | | | | | | | | | | | | | | | (18468) ~ (e3 = e1)
% 225.63/38.71 | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | REDUCE: (18456), (18465) imply:
% 225.63/38.71 | | | | | | | | | | | | | | | | | (18469) ~ (e2 = e1)
% 225.63/38.71 | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | REDUCE: (39), (18465) imply:
% 225.63/38.71 | | | | | | | | | | | | | | | | | (18470) op(e1, e1) = e1
% 225.63/38.71 | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 225.63/38.71 | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | (18471) ~ (all_44_2 = e3)
% 225.63/38.71 | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | REDUCE: (17983), (18471) imply:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | (18472) $false
% 225.63/38.71 | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | CLOSE: (18472) is inconsistent.
% 225.63/38.71 | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | (18473) ( ~ (all_44_0 = e1) & op(all_44_1, e2) = all_44_0
% 225.63/38.71 | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_44_1 & $i(all_44_0) &
% 225.63/38.71 | | | | | | | | | | | | | | | | | | $i(all_44_1)) | ( ~ (all_44_1 = e0) & op(e2, e3)
% 225.63/38.71 | | | | | | | | | | | | | | | | | | = all_44_1 & $i(all_44_1))
% 225.63/38.71 | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 225.63/38.71 | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | (18474) all_55_14 = e3
% 225.63/38.71 | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (18474) imply:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | (18475) all_53_11 = e3
% 225.63/38.71 | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | REDUCE: (140), (18475) imply:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | (18476) ~ (all_53_3 = e3)
% 225.63/38.71 | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | (18477) all_55_12 = e3
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (18477) imply:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | (18478) all_53_3 = e3
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | REDUCE: (18476), (18478) imply:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | (18479) $false
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | CLOSE: (18479) is inconsistent.
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | (18480) ~ (all_55_12 = e3)
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | (18481) all_55_12 = e2 | all_55_12 = e1 | all_55_12 = e0
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | BETA: splitting (18481) gives:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | (18482) all_55_12 = e2
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (18482) imply:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | (18483) all_53_3 = e2
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14924), (18483) imply:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | (18484) $false
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | CLOSE: (18484) is inconsistent.
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | (18485) ~ (all_55_12 = e2)
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | (18486) all_55_12 = e1 | all_55_12 = e0
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18486) gives:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | (18487) all_55_12 = e1
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (18487) imply:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | (18488) all_53_3 = e1
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (18488) imply:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | (18489) ~ (all_53_1 = e1)
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | (18490) all_55_4 = e3
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (17984), (18490) are inconsistent by
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2170.
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | (18491) all_55_4 = e2 | all_55_4 = e1 | all_55_4 = e0
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18491) gives:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | (18492) all_55_4 = e2
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (18492) imply:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | (18493) all_53_1 = e2
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18493) implies:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | (18494) all_53_1 = e2
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18446), (18494) imply:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | (18495) ~ (all_52_17 = e2)
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18495) implies:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | (18496) ~ (all_52_17 = e2)
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (193), (197), (247), (14924), (18421), (18424),
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | (18439), (18445), (18448), (18449), (18476),
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | (18496), (function-axioms) are inconsistent by
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #43.
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | (18497) all_55_4 = e1 | all_55_4 = e0
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (18419), (18489), (18497) are inconsistent
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #773.
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | (18498) all_55_12 = e0
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (18498) imply:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | (18499) all_53_3 = e0
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18421), (18499) imply:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | (18500) $false
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18500) is inconsistent.
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | (18501) ~ (all_55_14 = e3)
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | (18502) all_55_14 = e2 | all_55_14 = e1 | all_55_14 = e0
% 225.63/38.71 | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | REDUCE: (245), (18501) imply:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | (18503) ~ (all_53_11 = e3)
% 225.63/38.71 | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | (18504) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 =
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | BETA: splitting (18504) gives:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | (18505) all_57_12 = e3 & op(e0, e3) = e3
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | ALPHA: (18505) implies:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | (18506) all_57_12 = e3
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | (18507) (all_57_12 = e1 & op(e0, e3) = e1) | (all_57_13 =
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18507) gives:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | (18508) all_57_12 = e1 & op(e0, e3) = e1
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18506), (18508) are inconsistent by
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2230.
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | (18509) all_57_13 = e1 & op(e0, e2) = e1
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18509) implies:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | (18510) all_57_13 = e1
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | (18511) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_5 = e3
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18511) gives:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | (18512) all_57_4 = e3 & op(e3, e1) = e3
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18512) implies:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | (18513) all_57_4 = e3
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18502) gives:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (18514) all_55_14 = e2
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (18514) imply:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (18515) all_53_11 = e2
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14926), (18515) imply:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (18516) $false
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18516) is inconsistent.
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (18517) ~ (all_55_14 = e2)
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (18518) all_55_14 = e1 | all_55_14 = e0
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (18519) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_5 = e2
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18519) gives:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18520) all_57_4 = e2 & op(e3, e1) = e2
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18520) implies:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18521) all_57_4 = e2
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18513), (18521) are inconsistent by
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2482.
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18522) all_57_5 = e2 & op(e2, e1) = e2
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18522) implies:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18523) all_57_5 = e2
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18524) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18524) gives:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18525) all_57_4 = e0 & op(e3, e1) = e0
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18525) implies:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18526) op(e3, e1) = e0
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (122), (170), (245), (18466), (18518), (18526),
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2164.
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18527) all_57_5 = e0 & op(e2, e1) = e0
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (18523), (18527) are inconsistent by
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2428.
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18528) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18528) gives:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18529) all_57_8 = e0 & op(e1, e1) = e0
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18529) implies:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18530) op(e1, e1) = e0
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18470), (18530), (function-axioms) are
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2427.
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18531) all_57_14 = e0 & op(e0, e1) = e0
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18531) implies:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18532) all_57_14 = e0
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18533) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18533) gives:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18534) all_57_0 = e2 & op(e3, e3) = e2
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18534) implies:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18535) op(e3, e3) = e2
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (171),
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (231), (14936), (18422),
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18423), (18532), (18535), (function-axioms) are
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1293.
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18536) all_57_1 = e2 & op(e3, e2) = e2
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18536) implies:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18537) op(e3, e2) = e2
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18538) (all_57_2 = e0 & op(e2, e3) = e0) | (all_57_3 = e0
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18538) gives:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18539) all_57_2 = e0 & op(e2, e3) = e0
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18539) implies:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18540) op(e2, e3) = e0
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (18419), (18540), (function-axioms) are
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1943.
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18541) all_57_3 = e0 & op(e2, e2) = e0
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18541) implies:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18542) all_57_3 = e0
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17993), (18542) imply:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18543) e3 = e0
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18543) implies:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18544) e3 = e0
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18513), (18544) imply:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18545) all_57_4 = e0
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (219), (220),
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (14936), (18532), (18545),
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2371.
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18546) (all_57_5 = e0 & op(e2, e1) = e0) | (all_57_10 =
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18546) gives:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18547) all_57_5 = e0 & op(e2, e1) = e0
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18547) implies:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18548) all_57_5 = e0
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18523), (18548) imply:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18549) e2 = e0
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14934), (18549) imply:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18550) all_57_15 = e0
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (209), (18506), (18510), (18532),
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18550) are inconsistent by sub-proof #2124.
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18551) all_57_10 = e0 & op(e2, e0) = e0
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18551) implies:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18552) all_57_10 = e0
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18553) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18553) gives:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18554) all_57_2 = e1 & op(e2, e3) = e1
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18554) implies:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18555) op(e2, e3) = e1
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (196), (17982), (17994), (18434), (18438),
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18444), (18451), (18467), (18473), (18555),
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #208.
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18556) all_57_3 = e1 & op(e2, e2) = e1
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18556) implies:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18557) op(e2, e2) = e1
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (39), (159), (164), (214),
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (14935), (17987), (18420), (18432),
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18436), (18454), (18537), (18557),
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #42.
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18558) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (220), (18470), (18513),
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18532), (18552), (18558), (function-axioms) are
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #191.
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18559) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (169), (14927), (18513), (18559),
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1208.
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (18560) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_14 =
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18560) gives:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18561) all_57_8 = e2 & op(e1, e1) = e2
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18561) implies:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18562) op(e1, e1) = e2
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (18470), (18562), (function-axioms) are
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2423.
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18563) all_57_14 = e2 & op(e0, e1) = e2
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (14926), (18563), (function-axioms) are
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #54.
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | (18564) all_57_5 = e3 & op(e2, e1) = e3
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (17988), (18564), (function-axioms) are
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #270.
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | (18565) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_14 =
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18565) gives:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | (18566) all_57_8 = e3 & op(e1, e1) = e3
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18566) implies:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | (18567) op(e1, e1) = e3
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (17995), (18433), (18437), (18567),
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | #167.
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | (18568) all_57_14 = e3 & op(e0, e1) = e3
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (18503), (18568), (function-axioms) are
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #129.
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | (18569) (all_57_14 = e1 & op(e0, e1) = e1) | (all_57_15 =
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (158), (14935), (18466), (18569),
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | | #15.
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | (18570) all_57_13 = e3 & op(e0, e2) = e3
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (17987), (18570), (function-axioms) are
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #78.
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | (18571) (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 =
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (158), (14934), (18503), (18571),
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | | #55.
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | (18572) all_55_10 = e0
% 225.63/38.71 | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (18454), (18572) are inconsistent by
% 225.63/38.71 | | | | | | | | | | | | | | | | | sub-proof #2118.
% 225.63/38.71 | | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | (18573) all_38_2 = e2
% 225.63/38.71 | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | | REF_CLOSE: (8), (249), (17994), (18452), (18573),
% 225.63/38.71 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.71 | | | | | | | | | | | | | | #206.
% 225.63/38.71 | | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | (18574) all_24_2 = e0
% 225.63/38.71 | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | COMBINE_EQS: (315), (18574) imply:
% 225.63/38.71 | | | | | | | | | | | | | (18575) all_6_2 = e0
% 225.63/38.71 | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | REDUCE: (18452), (18575) imply:
% 225.63/38.71 | | | | | | | | | | | | | (18576) op(e0, e0) = e1
% 225.63/38.71 | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | REF_CLOSE: (6), (14935), (18576), (function-axioms) are
% 225.63/38.71 | | | | | | | | | | | | | inconsistent by sub-proof #2177.
% 225.63/38.71 | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | (18577) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 225.63/38.71 | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 225.63/38.71 | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 225.63/38.71 | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 225.63/38.71 | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 225.63/38.71 | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 225.63/38.71 | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 225.63/38.71 | | | | | | | | | | | | $i(all_52_31)
% 225.63/38.71 | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | ALPHA: (18577) implies:
% 225.63/38.71 | | | | | | | | | | | | (18578) op(e0, e0) = all_52_31
% 225.63/38.71 | | | | | | | | | | | | (18579) op(all_52_31, all_52_31) = e0
% 225.63/38.71 | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | REF_CLOSE: (7), (14935), (17994), (18578), (18579),
% 225.63/38.71 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.71 | | | | | | | | | | | | #11.
% 225.63/38.71 | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | End of split
% 225.63/38.71 | | | | | | | | |
% 225.63/38.71 | | | | | | | | Case 2:
% 225.63/38.71 | | | | | | | | |
% 225.63/38.71 | | | | | | | | | (18580) all_10_2 = e1
% 225.63/38.71 | | | | | | | | |
% 225.63/38.71 | | | | | | | | | REDUCE: (338), (18580) imply:
% 225.63/38.71 | | | | | | | | | (18581) ~ (all_53_1 = e1)
% 225.63/38.71 | | | | | | | | |
% 225.63/38.71 | | | | | | | | | REDUCE: (342), (18580) imply:
% 225.63/38.71 | | | | | | | | | (18582) ~ (all_53_3 = e1)
% 225.63/38.71 | | | | | | | | |
% 225.63/38.71 | | | | | | | | | REDUCE: (344), (18580) imply:
% 225.63/38.71 | | | | | | | | | (18583) ~ (all_53_4 = e1)
% 225.63/38.71 | | | | | | | | |
% 225.63/38.71 | | | | | | | | | REDUCE: (346), (18580) imply:
% 225.63/38.71 | | | | | | | | | (18584) ~ (all_53_8 = e1)
% 225.63/38.71 | | | | | | | | |
% 225.63/38.71 | | | | | | | | | REDUCE: (348), (18580) imply:
% 225.63/38.71 | | | | | | | | | (18585) ~ (all_53_12 = e1)
% 225.63/38.71 | | | | | | | | |
% 225.63/38.71 | | | | | | | | | BETA: splitting (107) gives:
% 225.63/38.71 | | | | | | | | |
% 225.63/38.71 | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | (18586) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 225.63/38.71 | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 225.63/38.71 | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 225.63/38.71 | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 225.63/38.71 | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 225.63/38.71 | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 225.63/38.71 | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 225.63/38.71 | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 225.63/38.71 | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 225.63/38.71 | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 225.63/38.71 | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 225.63/38.71 | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 225.63/38.71 | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 225.63/38.71 | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 225.63/38.71 | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 225.63/38.71 | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | BETA: splitting (18586) gives:
% 225.63/38.71 | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | (18587) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 225.63/38.71 | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 225.63/38.71 | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 225.63/38.71 | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 225.63/38.71 | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 225.63/38.71 | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 225.63/38.71 | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 225.63/38.71 | | | | | | | | | | | $i(all_52_7)
% 225.63/38.71 | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | ALPHA: (18587) implies:
% 225.63/38.71 | | | | | | | | | | | (18588) op(e3, e3) = all_52_1
% 225.63/38.71 | | | | | | | | | | | (18589) op(all_52_1, all_52_1) = e3
% 225.63/38.71 | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | BETA: splitting (233) gives:
% 225.63/38.71 | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | (18590) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 225.63/38.71 | | | | | | | | | | | | & op(e3, e2) = e1)
% 225.63/38.71 | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | BETA: splitting (18590) gives:
% 225.63/38.71 | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | Case 1:
% 225.63/38.71 | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | (18591) all_57_0 = e1 & op(e3, e3) = e1
% 225.63/38.71 | | | | | | | | | | | | |
% 225.63/38.71 | | | | | | | | | | | | | ALPHA: (18591) implies:
% 225.63/38.71 | | | | | | | | | | | | | (18592) op(e3, e3) = e1
% 225.63/38.71 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_52_1,
% 225.63/38.72 | | | | | | | | | | | | | e3, e3, simplifying with (18588), (18592) gives:
% 225.63/38.72 | | | | | | | | | | | | | (18593) all_52_1 = e1
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | REDUCE: (18589), (18593) imply:
% 225.63/38.72 | | | | | | | | | | | | | (18594) op(e1, e1) = e3
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | REF_CLOSE: (39), (14936), (18594), (function-axioms) are
% 225.63/38.72 | | | | | | | | | | | | | inconsistent by sub-proof #2468.
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | Case 2:
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | (18595) all_57_1 = e1 & op(e3, e2) = e1
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | ALPHA: (18595) implies:
% 225.63/38.72 | | | | | | | | | | | | | (18596) op(e3, e2) = e1
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | REF_CLOSE: (171), (18583), (18596), (function-axioms) are
% 225.63/38.72 | | | | | | | | | | | | | inconsistent by sub-proof #363.
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | End of split
% 225.63/38.72 | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | Case 2:
% 225.63/38.72 | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | (18597) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 225.63/38.72 | | | | | | | | | | | | & op(e3, e0) = e1)
% 225.63/38.72 | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | BETA: splitting (18597) gives:
% 225.63/38.72 | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | Case 1:
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | (18598) all_57_4 = e1 & op(e3, e1) = e1
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | REF_CLOSE: (170), (18584), (18598), (function-axioms) are
% 225.63/38.72 | | | | | | | | | | | | | inconsistent by sub-proof #116.
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | Case 2:
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | (18599) all_57_9 = e1 & op(e3, e0) = e1
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | REF_CLOSE: (169), (18585), (18599), (function-axioms) are
% 225.63/38.72 | | | | | | | | | | | | | inconsistent by sub-proof #2131.
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | End of split
% 225.63/38.72 | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | End of split
% 225.63/38.72 | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | Case 2:
% 225.63/38.72 | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | (18600) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 225.63/38.72 | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 225.63/38.72 | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 225.63/38.72 | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 225.63/38.72 | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 225.63/38.72 | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 225.63/38.72 | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 225.63/38.72 | | | | | | | | | | | $i(all_52_15)
% 225.63/38.72 | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | ALPHA: (18600) implies:
% 225.63/38.72 | | | | | | | | | | | (18601) op(e2, e2) = all_52_11
% 225.63/38.72 | | | | | | | | | | | (18602) op(all_52_11, all_52_11) = e2
% 225.63/38.72 | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | BETA: splitting (233) gives:
% 225.63/38.72 | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | Case 1:
% 225.63/38.72 | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | (18603) (all_57_0 = e1 & op(e3, e3) = e1) | (all_57_1 = e1
% 225.63/38.72 | | | | | | | | | | | | & op(e3, e2) = e1)
% 225.63/38.72 | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | BETA: splitting (18603) gives:
% 225.63/38.72 | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | Case 1:
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | (18604) all_57_0 = e1 & op(e3, e3) = e1
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | ALPHA: (18604) implies:
% 225.63/38.72 | | | | | | | | | | | | | (18605) op(e3, e3) = e1
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 225.63/38.72 | | | | | | | | | | | | | all_52_11, e2, e2, simplifying with (17994),
% 225.63/38.72 | | | | | | | | | | | | | (18601) gives:
% 225.63/38.72 | | | | | | | | | | | | | (18606) all_52_11 = e3
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | REDUCE: (18602), (18606) imply:
% 225.63/38.72 | | | | | | | | | | | | | (18607) op(e3, e3) = e2
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | REF_CLOSE: (6), (18605), (18607), (function-axioms) are
% 225.63/38.72 | | | | | | | | | | | | | inconsistent by sub-proof #1950.
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | Case 2:
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | (18608) all_57_1 = e1 & op(e3, e2) = e1
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | ALPHA: (18608) implies:
% 225.63/38.72 | | | | | | | | | | | | | (18609) op(e3, e2) = e1
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | REF_CLOSE: (171), (18583), (18609), (function-axioms) are
% 225.63/38.72 | | | | | | | | | | | | | inconsistent by sub-proof #363.
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | End of split
% 225.63/38.72 | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | Case 2:
% 225.63/38.72 | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | (18610) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_9 = e1
% 225.63/38.72 | | | | | | | | | | | | & op(e3, e0) = e1)
% 225.63/38.72 | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | BETA: splitting (18610) gives:
% 225.63/38.72 | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | Case 1:
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | (18611) all_57_4 = e1 & op(e3, e1) = e1
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | REF_CLOSE: (170), (18584), (18611), (function-axioms) are
% 225.63/38.72 | | | | | | | | | | | | | inconsistent by sub-proof #116.
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | Case 2:
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | (18612) all_57_9 = e1 & op(e3, e0) = e1
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | REF_CLOSE: (169), (18585), (18612), (function-axioms) are
% 225.63/38.72 | | | | | | | | | | | | | inconsistent by sub-proof #2131.
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | End of split
% 225.63/38.72 | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | End of split
% 225.63/38.72 | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | End of split
% 225.63/38.72 | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | Case 2:
% 225.63/38.72 | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | (18613) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 225.63/38.72 | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 225.63/38.72 | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 225.63/38.72 | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 225.63/38.72 | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 225.63/38.72 | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 225.63/38.72 | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 225.63/38.72 | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 225.63/38.72 | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 225.63/38.72 | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 225.63/38.72 | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 225.63/38.72 | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 225.63/38.72 | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 225.63/38.72 | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 225.63/38.72 | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 225.63/38.72 | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 225.63/38.72 | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | BETA: splitting (18613) gives:
% 225.63/38.72 | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | Case 1:
% 225.63/38.72 | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | (18614) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 225.63/38.72 | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 225.63/38.72 | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 225.63/38.72 | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 225.63/38.72 | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 225.63/38.72 | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 225.63/38.72 | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 225.63/38.72 | | | | | | | | | | | $i(all_52_23)
% 225.63/38.72 | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | ALPHA: (18614) implies:
% 225.63/38.72 | | | | | | | | | | | (18615) op(e1, e0) = all_52_23
% 225.63/38.72 | | | | | | | | | | | (18616) op(e1, e1) = all_52_21
% 225.63/38.72 | | | | | | | | | | | (18617) op(all_52_23, all_52_23) = e0
% 225.63/38.72 | | | | | | | | | | | (18618) op(all_52_21, all_52_21) = e1
% 225.63/38.72 | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_14,
% 225.63/38.72 | | | | | | | | | | | all_52_23, e0, e1, simplifying with (161), (18615)
% 225.63/38.72 | | | | | | | | | | | gives:
% 225.63/38.72 | | | | | | | | | | | (18619) all_53_14 = all_52_23
% 225.63/38.72 | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2,
% 225.63/38.72 | | | | | | | | | | | all_52_21, e1, e1, simplifying with (39), (18616)
% 225.63/38.72 | | | | | | | | | | | gives:
% 225.63/38.72 | | | | | | | | | | | (18620) all_52_21 = all_6_2
% 225.63/38.72 | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | COMBINE_EQS: (248), (18619) imply:
% 225.63/38.72 | | | | | | | | | | | (18621) all_55_11 = all_52_23
% 225.63/38.72 | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | REDUCE: (111), (18619) imply:
% 225.63/38.72 | | | | | | | | | | | (18622) ~ (all_53_13 = all_52_23)
% 225.63/38.72 | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | REDUCE: (14929), (18619) imply:
% 225.63/38.72 | | | | | | | | | | | (18623) ~ (all_52_23 = e2)
% 225.63/38.72 | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | REDUCE: (18618), (18620) imply:
% 225.63/38.72 | | | | | | | | | | | (18624) op(all_6_2, all_6_2) = e1
% 225.63/38.72 | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | BETA: splitting (67) gives:
% 225.63/38.72 | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | Case 1:
% 225.63/38.72 | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | (18625) ~ (all_24_2 = e0)
% 225.63/38.72 | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | REDUCE: (315), (18625) imply:
% 225.63/38.72 | | | | | | | | | | | | (18626) ~ (all_6_2 = e0)
% 225.63/38.72 | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | BETA: splitting (79) gives:
% 225.63/38.72 | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | Case 1:
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | (18627) ~ (all_32_2 = e2)
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | REDUCE: (14923), (18627) imply:
% 225.63/38.72 | | | | | | | | | | | | | (18628) $false
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | CLOSE: (18628) is inconsistent.
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | Case 2:
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | (18629) ( ~ (all_32_0 = e1) & op(all_32_1, e0) = all_32_0
% 225.63/38.72 | | | | | | | | | | | | | & op(e0, e2) = all_32_1 & $i(all_32_0) &
% 225.63/38.72 | | | | | | | | | | | | | $i(all_32_1)) | ( ~ (all_32_1 = e3) & op(e0, e2)
% 225.63/38.72 | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | BETA: splitting (88) gives:
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | Case 1:
% 225.63/38.72 | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | (18630) ~ (all_38_2 = e2)
% 225.63/38.72 | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | REDUCE: (249), (18630) imply:
% 225.63/38.72 | | | | | | | | | | | | | | (18631) ~ (all_6_2 = e2)
% 225.63/38.72 | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 225.63/38.72 | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | Case 1:
% 225.63/38.72 | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | (18632) all_55_10 = e3
% 225.63/38.72 | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | REF_CLOSE: (336), (14936), (18632) are inconsistent by
% 225.63/38.72 | | | | | | | | | | | | | | | sub-proof #2500.
% 225.63/38.72 | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | Case 2:
% 225.63/38.72 | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | (18633) ~ (all_55_10 = e3)
% 225.63/38.72 | | | | | | | | | | | | | | | (18634) all_55_10 = e2 | all_55_10 = e1 | all_55_10 = e0
% 225.63/38.72 | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | BETA: splitting (18634) gives:
% 225.63/38.72 | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | Case 1:
% 225.63/38.72 | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | (18635) all_55_10 = e2
% 225.63/38.72 | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | REF_CLOSE: (336), (18631), (18635) are inconsistent by
% 225.63/38.72 | | | | | | | | | | | | | | | | sub-proof #2499.
% 225.63/38.72 | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | Case 2:
% 225.63/38.72 | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | (18636) ~ (all_55_10 = e2)
% 225.63/38.72 | | | | | | | | | | | | | | | | (18637) all_55_10 = e1 | all_55_10 = e0
% 225.63/38.72 | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | BETA: splitting (18637) gives:
% 225.63/38.72 | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.72 | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | (18638) all_55_10 = e1
% 225.63/38.72 | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (18638) imply:
% 225.63/38.72 | | | | | | | | | | | | | | | | | (18639) all_6_2 = e1
% 225.63/38.72 | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | SIMP: (18639) implies:
% 225.63/38.72 | | | | | | | | | | | | | | | | | (18640) all_6_2 = e1
% 225.63/38.72 | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | REDUCE: (364), (18640) imply:
% 225.63/38.72 | | | | | | | | | | | | | | | | | (18641) ~ (all_53_9 = e1)
% 225.63/38.72 | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | REDUCE: (366), (18640) imply:
% 225.63/38.72 | | | | | | | | | | | | | | | | | (18642) ~ (all_53_11 = e1)
% 225.63/38.72 | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | REDUCE: (14936), (18640) imply:
% 225.63/38.72 | | | | | | | | | | | | | | | | | (18643) ~ (e3 = e1)
% 225.63/38.72 | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | REDUCE: (18631), (18640) imply:
% 225.63/38.72 | | | | | | | | | | | | | | | | | (18644) ~ (e2 = e1)
% 225.63/38.72 | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 225.63/38.72 | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.72 | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | (18645) (all_57_12 = e1 & op(e0, e3) = e1) | (all_57_13 =
% 225.63/38.72 | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 225.63/38.72 | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | BETA: splitting (18645) gives:
% 225.63/38.72 | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | (18646) all_57_12 = e1 & op(e0, e3) = e1
% 225.63/38.72 | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (18582), (18646), (function-axioms) are
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1947.
% 225.63/38.72 | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | (18647) all_57_13 = e1 & op(e0, e2) = e1
% 225.63/38.72 | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | ALPHA: (18647) implies:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | (18648) op(e0, e2) = e1
% 225.63/38.72 | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | (18649) (all_57_2 = e1 & op(e2, e3) = e1) | (all_57_3 = e1
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (17994), (18581), (18649),
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | #240.
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | (18650) (all_57_5 = e1 & op(e2, e1) = e1) | (all_57_10 =
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | BETA: splitting (18650) gives:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | (18651) all_57_5 = e1 & op(e2, e1) = e1
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (18641), (18651), (function-axioms) are
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2305.
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | (18652) all_57_10 = e1 & op(e2, e0) = e1
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | ALPHA: (18652) implies:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | (18653) op(e2, e0) = e1
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_7, e1,
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (159), (18648) gives:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | (18654) all_53_7 = e1
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_13,
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (165), (18653) gives:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | (18655) all_53_13 = e1
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | REDUCE: (18622), (18655) imply:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | (18656) ~ (all_52_23 = e1)
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | SIMP: (18656) implies:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | (18657) ~ (all_52_23 = e1)
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14922) gives:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | (18658) ~ (all_4_0 = e3) & op(all_4_1, e0) = all_4_0 &
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_4_1 & $i(all_4_0) & $i(all_4_1)
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18658) implies:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | (18659) ~ (all_4_0 = e3)
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | (18660) op(e0, e2) = all_4_1
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | (18661) op(all_4_1, e0) = all_4_0
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18629) gives:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (18662) ~ (all_32_0 = e1) & op(all_32_1, e0) = all_32_0 &
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_32_1 & $i(all_32_0) &
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18662) implies:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (18663) ~ (all_32_0 = e1)
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (18664) op(e0, e2) = all_32_1
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (18665) op(all_32_1, e0) = all_32_0
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_32_1,
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (18648), (18664) gives:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (18666) all_32_1 = e1
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1,
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | all_32_1, e2, e0, simplifying with (18660),
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (18664) gives:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (18667) all_32_1 = all_4_1
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18666), (18667) imply:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (18668) all_4_1 = e1
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18665), (18666) imply:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (18669) op(e1, e0) = all_32_0
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18661), (18668) imply:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (18670) op(e1, e0) = all_4_0
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_23,
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | all_4_0, e0, e1, simplifying with (18615), (18670)
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (18671) all_52_23 = all_4_0
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_23,
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | all_32_0, e0, e1, simplifying with (18615),
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (18669) gives:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (18672) all_52_23 = all_32_0
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18671), (18672) imply:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (18673) all_32_0 = all_4_0
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18673) implies:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (18674) all_32_0 = all_4_0
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18621), (18671) imply:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (18675) all_55_11 = all_4_0
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18623), (18671) imply:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (18676) ~ (all_4_0 = e2)
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18663), (18674) imply:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (18677) ~ (all_4_0 = e1)
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (194), (14935), (18615), (18617), (18659),
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (18670), (18675), (18676), (18677),
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | #5.
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (18678) ~ (all_32_1 = e3) & op(e0, e2) = all_32_1 &
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18678) implies:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (18679) op(e0, e2) = all_32_1
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_32_1,
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (18648), (18679) gives:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (18680) all_32_1 = e1
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1,
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | all_32_1, e2, e0, simplifying with (18660),
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (18679) gives:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (18681) all_32_1 = all_4_1
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18680), (18681) imply:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (18682) all_4_1 = e1
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18661), (18682) imply:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (18683) op(e1, e0) = all_4_0
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_23,
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | all_4_0, e0, e1, simplifying with (18615), (18683)
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (18684) all_52_23 = all_4_0
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18621), (18684) imply:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (18685) all_55_11 = all_4_0
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18623), (18684) imply:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (18686) ~ (all_4_0 = e2)
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18657), (18684) imply:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (18687) ~ (all_4_0 = e1)
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (194), (14935), (18615), (18617), (18659),
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (18683), (18685), (18686), (18687),
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | | #5.
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | (18688) ~ (all_4_1 = e1) & op(e0, e2) = all_4_1 &
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | $i(all_4_1)
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18629), (18648), (18688), (function-axioms) are
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #69.
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.72 | | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.72 | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.72 | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | (18689) (all_57_14 = e1 & op(e0, e1) = e1) | (all_57_15 =
% 225.63/38.72 | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 225.63/38.72 | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (158), (14935), (18642), (18689),
% 225.63/38.72 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.72 | | | | | | | | | | | | | | | | | | #15.
% 225.63/38.72 | | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | End of split
% 225.63/38.72 | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.72 | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | (18690) all_55_10 = e0
% 225.63/38.72 | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | REF_CLOSE: (336), (18626), (18690) are inconsistent by
% 225.63/38.72 | | | | | | | | | | | | | | | | | sub-proof #2118.
% 225.63/38.72 | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | End of split
% 225.63/38.72 | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | End of split
% 225.63/38.72 | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | End of split
% 225.63/38.72 | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | Case 2:
% 225.63/38.72 | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | (18691) all_38_2 = e2
% 225.63/38.72 | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | COMBINE_EQS: (249), (18691) imply:
% 225.63/38.72 | | | | | | | | | | | | | | (18692) all_6_2 = e2
% 225.63/38.72 | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | REDUCE: (18624), (18692) imply:
% 225.63/38.72 | | | | | | | | | | | | | | (18693) op(e2, e2) = e1
% 225.63/38.72 | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | REF_CLOSE: (8), (17994), (18693), (function-axioms) are
% 225.63/38.72 | | | | | | | | | | | | | | inconsistent by sub-proof #1912.
% 225.63/38.72 | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | End of split
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | End of split
% 225.63/38.72 | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | Case 2:
% 225.63/38.72 | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | (18694) all_24_2 = e0
% 225.63/38.72 | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | COMBINE_EQS: (315), (18694) imply:
% 225.63/38.72 | | | | | | | | | | | | (18695) all_6_2 = e0
% 225.63/38.72 | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | REDUCE: (18624), (18695) imply:
% 225.63/38.72 | | | | | | | | | | | | (18696) op(e0, e0) = e1
% 225.63/38.72 | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | REF_CLOSE: (6), (14935), (18696), (function-axioms) are
% 225.63/38.72 | | | | | | | | | | | | inconsistent by sub-proof #2177.
% 225.63/38.72 | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | End of split
% 225.63/38.72 | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | Case 2:
% 225.63/38.72 | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | (18697) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 225.63/38.72 | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 225.63/38.72 | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 225.63/38.72 | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 225.63/38.72 | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 225.63/38.72 | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 225.63/38.72 | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 225.63/38.72 | | | | | | | | | | | $i(all_52_31)
% 225.63/38.72 | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | ALPHA: (18697) implies:
% 225.63/38.72 | | | | | | | | | | | (18698) op(e0, e0) = all_52_31
% 225.63/38.72 | | | | | | | | | | | (18699) op(all_52_31, all_52_31) = e0
% 225.63/38.72 | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | REF_CLOSE: (7), (14935), (17994), (18698), (18699),
% 225.63/38.72 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.72 | | | | | | | | | | | #11.
% 225.63/38.72 | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | End of split
% 225.63/38.72 | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | End of split
% 225.63/38.72 | | | | | | | | |
% 225.63/38.72 | | | | | | | | End of split
% 225.63/38.72 | | | | | | | |
% 225.63/38.72 | | | | | | | End of split
% 225.63/38.72 | | | | | | |
% 225.63/38.72 | | | | | | Case 2:
% 225.63/38.72 | | | | | | |
% 225.63/38.72 | | | | | | | (18700) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 = e3 &
% 225.63/38.72 | | | | | | | op(e2, e0) = e3)
% 225.63/38.72 | | | | | | |
% 225.63/38.72 | | | | | | | REF_CLOSE: (165), (166), (17988), (17989), (18700),
% 225.63/38.72 | | | | | | | (function-axioms) are inconsistent by sub-proof #178.
% 225.63/38.72 | | | | | | |
% 225.63/38.72 | | | | | | End of split
% 225.63/38.72 | | | | | |
% 225.63/38.72 | | | | | End of split
% 225.63/38.72 | | | | |
% 225.63/38.72 | | | | Case 2:
% 225.63/38.72 | | | | |
% 225.63/38.72 | | | | | (18701) all_6_2 = e3
% 225.63/38.72 | | | | | (18702) ( ~ (all_6_0 = e0) & op(all_6_1, e1) = all_6_0 & op(e1, e3)
% 225.63/38.72 | | | | | = all_6_1 & $i(all_6_0) & $i(all_6_1)) | ( ~ (all_6_1 =
% 225.63/38.72 | | | | | e2) & op(e1, e3) = all_6_1 & $i(all_6_1))
% 225.63/38.72 | | | | |
% 225.63/38.72 | | | | | COMBINE_EQS: (333), (18701) imply:
% 225.63/38.72 | | | | | (18703) all_46_2 = e3
% 225.63/38.72 | | | | |
% 225.63/38.72 | | | | | REDUCE: (350), (18701) imply:
% 225.63/38.72 | | | | | (18704) ~ (all_53_2 = e3)
% 225.63/38.72 | | | | |
% 225.63/38.72 | | | | | REDUCE: (361), (18701) imply:
% 225.63/38.72 | | | | | (18705) ~ (all_53_6 = e3)
% 225.63/38.72 | | | | |
% 225.63/38.72 | | | | | REDUCE: (363), (18701) imply:
% 225.63/38.72 | | | | | (18706) ~ (all_53_8 = e3)
% 225.63/38.72 | | | | |
% 225.63/38.72 | | | | | REDUCE: (364), (18701) imply:
% 225.63/38.72 | | | | | (18707) ~ (all_53_9 = e3)
% 225.63/38.72 | | | | |
% 225.63/38.72 | | | | | REDUCE: (366), (18701) imply:
% 225.63/38.72 | | | | | (18708) ~ (all_53_11 = e3)
% 225.63/38.72 | | | | |
% 225.63/38.72 | | | | | REDUCE: (368), (18701) imply:
% 225.63/38.72 | | | | | (18709) ~ (all_53_14 = e3)
% 225.63/38.72 | | | | |
% 225.63/38.72 | | | | | BETA: splitting (217) gives:
% 225.63/38.72 | | | | |
% 225.63/38.72 | | | | | Case 1:
% 225.63/38.72 | | | | | |
% 225.63/38.72 | | | | | | (18710) (all_57_6 = e3 & op(e1, e3) = e3) | (all_57_7 = e3 &
% 225.63/38.72 | | | | | | op(e1, e2) = e3)
% 225.63/38.72 | | | | | |
% 225.63/38.72 | | | | | | BETA: splitting (18710) gives:
% 225.63/38.72 | | | | | |
% 225.63/38.72 | | | | | | Case 1:
% 225.63/38.72 | | | | | | |
% 225.63/38.72 | | | | | | | (18711) all_57_6 = e3 & op(e1, e3) = e3
% 225.63/38.72 | | | | | | |
% 225.63/38.72 | | | | | | | REF_CLOSE: (164), (18704), (18711), (function-axioms) are
% 225.63/38.72 | | | | | | | inconsistent by sub-proof #153.
% 225.63/38.72 | | | | | | |
% 225.63/38.72 | | | | | | Case 2:
% 225.63/38.72 | | | | | | |
% 225.63/38.72 | | | | | | | (18712) all_57_7 = e3 & op(e1, e2) = e3
% 225.63/38.72 | | | | | | |
% 225.63/38.72 | | | | | | | REF_CLOSE: (163), (18705), (18712), (function-axioms) are
% 225.63/38.72 | | | | | | | inconsistent by sub-proof #267.
% 225.63/38.72 | | | | | | |
% 225.63/38.72 | | | | | | End of split
% 225.63/38.72 | | | | | |
% 225.63/38.72 | | | | | Case 2:
% 225.63/38.72 | | | | | |
% 225.63/38.72 | | | | | | (18713) (all_57_8 = e3 & op(e1, e1) = e3) | (all_57_11 = e3 &
% 225.63/38.72 | | | | | | op(e1, e0) = e3)
% 225.63/38.72 | | | | | |
% 225.63/38.72 | | | | | | BETA: splitting (18713) gives:
% 225.63/38.72 | | | | | |
% 225.63/38.72 | | | | | | Case 1:
% 225.63/38.72 | | | | | | |
% 225.63/38.72 | | | | | | | (18714) all_57_8 = e3 & op(e1, e1) = e3
% 225.63/38.72 | | | | | | |
% 225.63/38.72 | | | | | | | ALPHA: (18714) implies:
% 225.63/38.72 | | | | | | | (18715) all_57_8 = e3
% 225.63/38.72 | | | | | | | (18716) op(e1, e1) = e3
% 225.63/38.72 | | | | | | |
% 225.63/38.72 | | | | | | | BETA: splitting (43) gives:
% 225.63/38.72 | | | | | | |
% 225.63/38.72 | | | | | | | Case 1:
% 225.63/38.72 | | | | | | | |
% 225.63/38.72 | | | | | | | | (18717) ~ (all_8_2 = e3)
% 225.63/38.72 | | | | | | | |
% 225.63/38.72 | | | | | | | | BETA: splitting (46) gives:
% 225.63/38.72 | | | | | | | |
% 225.63/38.72 | | | | | | | | Case 1:
% 225.63/38.72 | | | | | | | | |
% 225.63/38.72 | | | | | | | | | (18718) ~ (all_10_2 = e1)
% 225.63/38.72 | | | | | | | | |
% 225.63/38.72 | | | | | | | | | BETA: splitting (52) gives:
% 225.63/38.72 | | | | | | | | |
% 225.63/38.72 | | | | | | | | | Case 1:
% 225.63/38.72 | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | (18719) ~ (all_14_2 = e0)
% 225.63/38.72 | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | REDUCE: (328), (18719) imply:
% 225.63/38.72 | | | | | | | | | | (18720) ~ (all_8_2 = e0)
% 225.63/38.72 | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | BETA: splitting (55) gives:
% 225.63/38.72 | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | Case 1:
% 225.63/38.72 | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | (18721) ~ (all_16_2 = e1)
% 225.63/38.72 | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | REDUCE: (324), (18721) imply:
% 225.63/38.72 | | | | | | | | | | | (18722) ~ (all_8_2 = e1)
% 225.63/38.72 | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | BETA: splitting (200) gives:
% 225.63/38.72 | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | Case 1:
% 225.63/38.72 | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | (18723) all_55_5 = e3
% 225.63/38.72 | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | COMBINE_EQS: (266), (18723) imply:
% 225.63/38.72 | | | | | | | | | | | | (18724) all_8_2 = e3
% 225.63/38.72 | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | REDUCE: (18717), (18724) imply:
% 225.63/38.72 | | | | | | | | | | | | (18725) $false
% 225.63/38.72 | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | CLOSE: (18725) is inconsistent.
% 225.63/38.72 | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | Case 2:
% 225.63/38.72 | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | (18726) ~ (all_55_5 = e3)
% 225.63/38.72 | | | | | | | | | | | | (18727) all_55_5 = e2 | all_55_5 = e1 | all_55_5 = e0
% 225.63/38.72 | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | BETA: splitting (18727) gives:
% 225.63/38.72 | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | Case 1:
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | (18728) all_55_5 = e2
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | COMBINE_EQS: (266), (18728) imply:
% 225.63/38.72 | | | | | | | | | | | | | (18729) all_8_2 = e2
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | REDUCE: (354), (18729) imply:
% 225.63/38.72 | | | | | | | | | | | | | (18730) ~ (all_53_6 = e2)
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | REDUCE: (358), (18729) imply:
% 225.63/38.72 | | | | | | | | | | | | | (18731) ~ (all_53_9 = e2)
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | REDUCE: (18717), (18729) imply:
% 225.63/38.72 | | | | | | | | | | | | | (18732) ~ (e3 = e2)
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | REDUCE: (42), (18729) imply:
% 225.63/38.72 | | | | | | | | | | | | | (18733) op(e2, e2) = e2
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | BETA: splitting (220) gives:
% 225.63/38.72 | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | Case 1:
% 225.63/38.72 | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | (18734) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_5 = e2
% 225.63/38.72 | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 225.63/38.72 | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | BETA: splitting (18734) gives:
% 225.63/38.72 | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | Case 1:
% 225.63/38.72 | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | (18735) all_57_4 = e2 & op(e3, e1) = e2
% 225.63/38.72 | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | ALPHA: (18735) implies:
% 225.63/38.72 | | | | | | | | | | | | | | | (18736) op(e3, e1) = e2
% 225.63/38.72 | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 225.63/38.72 | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | Case 1:
% 225.63/38.72 | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | (18737) (all_57_6 = e2 & op(e1, e3) = e2) | (all_57_7 = e2
% 225.63/38.72 | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 225.63/38.72 | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | BETA: splitting (18737) gives:
% 225.63/38.72 | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.72 | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | (18738) all_57_6 = e2 & op(e1, e3) = e2
% 225.63/38.72 | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | ALPHA: (18738) implies:
% 225.63/38.72 | | | | | | | | | | | | | | | | | (18739) op(e1, e3) = e2
% 225.63/38.72 | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_2, e2,
% 225.63/38.72 | | | | | | | | | | | | | | | | | e3, e1, simplifying with (164), (18739) gives:
% 225.63/38.72 | | | | | | | | | | | | | | | | | (18740) all_53_2 = e2
% 225.63/38.72 | | | | | | | | | | | | | | | | |
% 225.63/38.72 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_8, e2,
% 225.63/38.72 | | | | | | | | | | | | | | | | | e1, e3, simplifying with (170), (18736) gives:
% 225.63/38.72 | | | | | | | | | | | | | | | | | (18741) all_53_8 = e2
% 225.63/38.72 | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | REDUCE: (124), (18741) imply:
% 225.63/38.73 | | | | | | | | | | | | | | | | | (18742) ~ (all_53_9 = e2)
% 225.63/38.73 | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | BETA: splitting (18702) gives:
% 225.63/38.73 | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | (18743) ~ (all_6_0 = e0) & op(all_6_1, e1) = all_6_0 &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | op(e1, e3) = all_6_1 & $i(all_6_0) & $i(all_6_1)
% 225.63/38.73 | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | ALPHA: (18743) implies:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | (18744) ~ (all_6_0 = e0)
% 225.63/38.73 | | | | | | | | | | | | | | | | | | (18745) op(e1, e3) = all_6_1
% 225.63/38.73 | | | | | | | | | | | | | | | | | | (18746) op(all_6_1, e1) = all_6_0
% 225.63/38.73 | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 225.63/38.73 | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | (18747) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 225.63/38.73 | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | BETA: splitting (18747) gives:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | (18748) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (18733), (18736), (18748), (function-axioms)
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #90.
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | (18749) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | ALPHA: (18749) implies:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | (18750) op(e2, e1) = all_52_13
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | (18751) op(all_52_13, all_52_13) = e1
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_6_1,
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (18739), (18745) gives:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | (18752) all_6_1 = e2
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_9,
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | all_52_13, e1, e2, simplifying with (166), (18750)
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | gives:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | (18753) all_53_9 = all_52_13
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (18753) imply:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | (18754) all_55_6 = all_52_13
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (18707), (18753) imply:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | (18755) ~ (all_52_13 = e3)
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (18731), (18753) imply:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | (18756) ~ (all_52_13 = e2)
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (18746), (18752) imply:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | (18757) op(e2, e1) = all_6_0
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | all_6_0, e1, e2, simplifying with (18750), (18757)
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | gives:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | (18758) all_52_13 = all_6_0
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18754), (18758) imply:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | (18759) all_55_6 = all_6_0
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (18755), (18758) imply:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | (18760) ~ (all_6_0 = e3)
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (18756), (18758) imply:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | (18761) ~ (all_6_0 = e2)
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (18751), (18758) imply:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | (18762) op(all_6_0, all_6_0) = e1
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | (18763) all_55_6 = e3
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18759), (18763) imply:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | (18764) all_6_0 = e3
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | SIMP: (18764) implies:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | (18765) all_6_0 = e3
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (18760), (18765) imply:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | (18766) $false
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | CLOSE: (18766) is inconsistent.
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | (18767) ~ (all_55_6 = e3)
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | (18768) all_55_6 = e2 | all_55_6 = e1 | all_55_6 = e0
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18768) gives:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | (18769) all_55_6 = e2
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18759), (18769) imply:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | (18770) all_6_0 = e2
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | SIMP: (18770) implies:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | (18771) all_6_0 = e2
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18761), (18771) imply:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | (18772) $false
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18772) is inconsistent.
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | (18773) all_55_6 = e1 | all_55_6 = e0
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18773) gives:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | (18774) all_55_6 = e1
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18759), (18774) imply:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | (18775) all_6_0 = e1
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18775) implies:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | (18776) all_6_0 = e1
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18760), (18776) imply:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | (18777) ~ (e3 = e1)
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18762), (18776) imply:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | (18778) op(e1, e1) = e1
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18716), (18778), (function-axioms) are
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #156.
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | (18779) all_55_6 = e0
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (18759), (18779) imply:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | (18780) all_6_0 = e0
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (18780) implies:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | (18781) all_6_0 = e0
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18744), (18781) imply:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | (18782) $false
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (18782) is inconsistent.
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.73 | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | (18783) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 225.63/38.73 | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | BETA: splitting (18783) gives:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | (18784) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | ALPHA: (18784) implies:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | (18785) op(e1, e1) = all_52_21
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | (18786) op(all_52_21, all_52_21) = e1
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (18716), (18718), (18785), (18786),
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | #167.
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | (18787) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14935), (18733), (18787), (function-axioms)
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #79.
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.73 | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.73 | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.73 | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | (18788) ~ (all_6_1 = e2) & op(e1, e3) = all_6_1 &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | $i(all_6_1)
% 225.63/38.73 | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | ALPHA: (18788) implies:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | (18789) ~ (all_6_1 = e2)
% 225.63/38.73 | | | | | | | | | | | | | | | | | | (18790) op(e1, e3) = all_6_1
% 225.63/38.73 | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 225.63/38.73 | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | (18791) ~ (all_46_2 = e3)
% 225.63/38.73 | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | REDUCE: (18703), (18791) imply:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | (18792) $false
% 225.63/38.73 | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | CLOSE: (18792) is inconsistent.
% 225.63/38.73 | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | (18793) ( ~ (all_46_0 = e2) & op(all_46_1, e1) = all_46_0
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_46_1 & $i(all_46_0) &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | $i(all_46_1)) | ( ~ (all_46_1 = e0) & op(e1, e3)
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | = all_46_1 & $i(all_46_1))
% 225.63/38.73 | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | BETA: splitting (18793) gives:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | (18794) ~ (all_46_0 = e2) & op(all_46_1, e1) = all_46_0 &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_46_1 & $i(all_46_0) &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | $i(all_46_1)
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | ALPHA: (18794) implies:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | (18795) op(e1, e3) = all_46_1
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18739), (18789), (18790), (18795),
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | #4.
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | (18796) ~ (all_46_1 = e0) & op(e1, e3) = all_46_1 &
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | $i(all_46_1)
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | ALPHA: (18796) implies:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | (18797) op(e1, e3) = all_46_1
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18739), (18789), (18790), (18797),
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | #4.
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.73 | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.73 | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | End of split
% 225.63/38.73 | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.73 | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | (18798) all_57_7 = e2 & op(e1, e2) = e2
% 225.63/38.73 | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (18730), (18798), (function-axioms) are
% 225.63/38.73 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #173.
% 225.63/38.73 | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | End of split
% 225.63/38.73 | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | Case 2:
% 225.63/38.73 | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | (18799) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_11 =
% 225.63/38.73 | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 225.63/38.73 | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | BETA: splitting (18799) gives:
% 225.63/38.73 | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | (18800) all_57_8 = e2 & op(e1, e1) = e2
% 225.63/38.73 | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18715), (18800) are inconsistent by
% 225.63/38.73 | | | | | | | | | | | | | | | | | sub-proof #165.
% 225.63/38.73 | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.73 | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | (18801) all_57_11 = e2 & op(e1, e0) = e2
% 225.63/38.73 | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | REF_CLOSE: (161), (14929), (18801), (function-axioms) are
% 225.63/38.73 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #91.
% 225.63/38.73 | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | End of split
% 225.63/38.73 | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | End of split
% 225.63/38.73 | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | Case 2:
% 225.63/38.73 | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | (18802) all_57_5 = e2 & op(e2, e1) = e2
% 225.63/38.73 | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | REF_CLOSE: (166), (18731), (18802), (function-axioms) are
% 225.63/38.73 | | | | | | | | | | | | | | | inconsistent by sub-proof #1858.
% 225.63/38.73 | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | End of split
% 225.63/38.73 | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | Case 2:
% 225.63/38.73 | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | (18803) (all_57_8 = e2 & op(e1, e1) = e2) | (all_57_14 =
% 225.63/38.73 | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 225.63/38.73 | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | BETA: splitting (18803) gives:
% 225.63/38.73 | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | (18804) all_57_8 = e2 & op(e1, e1) = e2
% 225.63/38.73 | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | REF_CLOSE: (9), (18715), (18804) are inconsistent by
% 225.63/38.73 | | | | | | | | | | | | | | | sub-proof #165.
% 225.63/38.73 | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | Case 2:
% 225.63/38.73 | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | (18805) all_57_14 = e2 & op(e0, e1) = e2
% 225.63/38.73 | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | REF_CLOSE: (158), (14926), (18805), (function-axioms) are
% 225.63/38.73 | | | | | | | | | | | | | | | inconsistent by sub-proof #54.
% 225.63/38.73 | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | End of split
% 225.63/38.73 | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | End of split
% 225.63/38.73 | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | Case 2:
% 225.63/38.73 | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | (18806) all_55_5 = e1 | all_55_5 = e0
% 225.63/38.73 | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | REF_CLOSE: (266), (18720), (18722), (18806) are inconsistent
% 225.63/38.73 | | | | | | | | | | | | | by sub-proof #1857.
% 225.63/38.73 | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | End of split
% 225.63/38.73 | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | End of split
% 225.63/38.73 | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | Case 2:
% 225.63/38.73 | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | (18807) all_16_2 = e1
% 225.63/38.73 | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | COMBINE_EQS: (324), (18807) imply:
% 225.63/38.73 | | | | | | | | | | | (18808) all_8_2 = e1
% 225.63/38.73 | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | SIMP: (18808) implies:
% 225.63/38.73 | | | | | | | | | | | (18809) all_8_2 = e1
% 225.63/38.73 | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | REDUCE: (358), (18809) imply:
% 225.63/38.73 | | | | | | | | | | | (18810) ~ (all_53_9 = e1)
% 225.63/38.73 | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | REDUCE: (360), (18809) imply:
% 225.63/38.73 | | | | | | | | | | | (18811) ~ (all_53_13 = e1)
% 225.63/38.73 | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | REDUCE: (18717), (18809) imply:
% 225.63/38.73 | | | | | | | | | | | (18812) ~ (e3 = e1)
% 225.63/38.73 | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | REDUCE: (42), (18809) imply:
% 225.63/38.73 | | | | | | | | | | | (18813) op(e2, e2) = e1
% 225.63/38.73 | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | BETA: splitting (107) gives:
% 225.63/38.73 | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | (18814) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 225.63/38.73 | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 225.63/38.73 | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 225.63/38.73 | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 225.63/38.73 | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 225.63/38.73 | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 225.63/38.73 | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 225.63/38.73 | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 225.63/38.73 | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 225.63/38.73 | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 225.63/38.73 | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 225.63/38.73 | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 225.63/38.73 | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 225.63/38.73 | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 225.63/38.73 | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 225.63/38.73 | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | BETA: splitting (18814) gives:
% 225.63/38.73 | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | (18815) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 225.63/38.73 | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 225.63/38.73 | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 225.63/38.73 | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 225.63/38.73 | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 225.63/38.73 | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 225.63/38.73 | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 225.63/38.73 | | | | | | | | | | | | | $i(all_52_7)
% 225.63/38.73 | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | ALPHA: (18815) implies:
% 225.63/38.73 | | | | | | | | | | | | | (18816) op(e3, e0) = all_52_7
% 225.63/38.73 | | | | | | | | | | | | | (18817) op(e3, e1) = all_52_5
% 225.63/38.73 | | | | | | | | | | | | | (18818) op(e3, e2) = all_52_3
% 225.63/38.73 | | | | | | | | | | | | | (18819) op(e3, e3) = all_52_1
% 225.63/38.73 | | | | | | | | | | | | | (18820) op(all_52_7, all_52_7) = e0
% 225.63/38.73 | | | | | | | | | | | | | (18821) op(all_52_5, all_52_5) = e1
% 225.63/38.73 | | | | | | | | | | | | | (18822) op(all_52_3, all_52_3) = e2
% 225.63/38.73 | | | | | | | | | | | | | (18823) op(all_52_1, all_52_1) = e3
% 225.63/38.73 | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_12,
% 225.63/38.73 | | | | | | | | | | | | | all_52_7, e0, e3, simplifying with (169), (18816)
% 225.63/38.73 | | | | | | | | | | | | | gives:
% 225.63/38.73 | | | | | | | | | | | | | (18824) all_53_12 = all_52_7
% 225.63/38.73 | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_8,
% 225.63/38.73 | | | | | | | | | | | | | all_52_5, e1, e3, simplifying with (170), (18817)
% 225.63/38.73 | | | | | | | | | | | | | gives:
% 225.63/38.73 | | | | | | | | | | | | | (18825) all_53_8 = all_52_5
% 225.63/38.73 | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_4,
% 225.63/38.73 | | | | | | | | | | | | | all_52_3, e2, e3, simplifying with (171), (18818)
% 225.63/38.73 | | | | | | | | | | | | | gives:
% 225.63/38.73 | | | | | | | | | | | | | (18826) all_53_4 = all_52_3
% 225.63/38.73 | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_2,
% 225.63/38.73 | | | | | | | | | | | | | all_52_1, e3, e3, simplifying with (45), (18819)
% 225.63/38.73 | | | | | | | | | | | | | gives:
% 225.63/38.73 | | | | | | | | | | | | | (18827) all_52_1 = all_10_2
% 225.63/38.73 | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | COMBINE_EQS: (268), (18824) imply:
% 225.63/38.73 | | | | | | | | | | | | | (18828) all_55_3 = all_52_7
% 225.63/38.73 | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | REDUCE: (344), (18826) imply:
% 225.63/38.73 | | | | | | | | | | | | | (18829) ~ (all_52_3 = all_10_2)
% 225.63/38.73 | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | REDUCE: (114), (18824) imply:
% 225.63/38.73 | | | | | | | | | | | | | (18830) ~ (all_53_13 = all_52_7)
% 225.63/38.73 | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | SIMP: (18830) implies:
% 225.63/38.73 | | | | | | | | | | | | | (18831) ~ (all_53_13 = all_52_7)
% 225.63/38.73 | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | REDUCE: (14927), (18824) imply:
% 225.63/38.73 | | | | | | | | | | | | | (18832) ~ (all_52_7 = e2)
% 225.63/38.73 | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | REDUCE: (18823), (18827) imply:
% 225.63/38.73 | | | | | | | | | | | | | (18833) op(all_10_2, all_10_2) = e3
% 225.63/38.73 | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | BETA: splitting (58) gives:
% 225.63/38.73 | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | (18834) ~ (all_18_2 = e0)
% 225.63/38.73 | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | REDUCE: (327), (18834) imply:
% 225.63/38.73 | | | | | | | | | | | | | | (18835) ~ (all_10_2 = e0)
% 225.63/38.73 | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 225.63/38.73 | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | (18836) ~ (all_20_2 = e2)
% 225.63/38.73 | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | REDUCE: (299), (18836) imply:
% 225.63/38.73 | | | | | | | | | | | | | | | (18837) ~ (all_10_2 = e2)
% 225.63/38.73 | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 225.63/38.73 | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | (18838) all_55_0 = e3
% 225.63/38.73 | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | COMBINE_EQS: (277), (18838) imply:
% 225.63/38.73 | | | | | | | | | | | | | | | | (18839) all_10_2 = e3
% 225.63/38.73 | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | REDUCE: (338), (18839) imply:
% 225.63/38.73 | | | | | | | | | | | | | | | | (18840) ~ (all_53_1 = e3)
% 225.63/38.73 | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | REDUCE: (342), (18839) imply:
% 225.63/38.73 | | | | | | | | | | | | | | | | (18841) ~ (all_53_3 = e3)
% 225.63/38.73 | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | REDUCE: (18829), (18839) imply:
% 225.63/38.73 | | | | | | | | | | | | | | | | (18842) ~ (all_52_3 = e3)
% 225.63/38.73 | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | REDUCE: (45), (18839) imply:
% 225.63/38.73 | | | | | | | | | | | | | | | | (18843) op(e3, e3) = e3
% 225.63/38.73 | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 225.63/38.73 | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | (18844) (all_57_2 = e3 & op(e2, e3) = e3) | (all_57_3 = e3
% 225.63/38.73 | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 225.63/38.73 | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | BETA: splitting (18844) gives:
% 225.63/38.73 | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | (18845) all_57_2 = e3 & op(e2, e3) = e3
% 225.63/38.73 | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (18840), (18845), (function-axioms) are
% 225.63/38.73 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2299.
% 225.63/38.73 | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.73 | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | (18846) all_57_3 = e3 & op(e2, e2) = e3
% 225.63/38.73 | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | ALPHA: (18846) implies:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | (18847) op(e2, e2) = e3
% 225.63/38.73 | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (235), (18816), (18817), (18818),
% 225.63/38.73 | | | | | | | | | | | | | | | | | | (18820), (18821), (18822), (18842), (18843),
% 225.63/38.73 | | | | | | | | | | | | | | | | | | (18847), (function-axioms) are inconsistent by
% 225.63/38.73 | | | | | | | | | | | | | | | | | | sub-proof #95.
% 225.63/38.73 | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | End of split
% 225.63/38.73 | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.73 | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | (18848) (all_57_5 = e3 & op(e2, e1) = e3) | (all_57_10 =
% 225.63/38.73 | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 225.63/38.73 | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | BETA: splitting (18848) gives:
% 225.63/38.73 | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | (18849) all_57_5 = e3 & op(e2, e1) = e3
% 225.63/38.73 | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (18707), (18849), (function-axioms) are
% 225.63/38.73 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #270.
% 225.63/38.73 | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.73 | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | (18850) all_57_10 = e3 & op(e2, e0) = e3
% 225.63/38.73 | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | ALPHA: (18850) implies:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | (18851) all_57_10 = e3
% 225.63/38.73 | | | | | | | | | | | | | | | | | | (18852) op(e2, e0) = e3
% 225.63/38.73 | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 225.63/38.73 | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | (18853) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 225.63/38.73 | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | BETA: splitting (18853) gives:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | (18854) all_57_1 = e3 & op(e3, e2) = e3
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | ALPHA: (18854) implies:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | (18855) all_57_1 = e3
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | (18856) op(e3, e2) = e3
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | (18857) (all_57_0 = e2 & op(e3, e3) = e2) | (all_57_1 = e2
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18857) gives:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | (18858) all_57_0 = e2 & op(e3, e3) = e2
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18858) implies:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | (18859) op(e3, e3) = e2
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18843), (18859), (function-axioms) are
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2490.
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | (18860) all_57_1 = e2 & op(e3, e2) = e2
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18860) implies:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | (18861) op(e3, e2) = e2
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18856), (18861), (function-axioms) are
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1549.
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | (18862) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_9 = e2
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18862) gives:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | (18863) all_57_4 = e2 & op(e3, e1) = e2
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18863) implies:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | (18864) all_57_4 = e2
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | (18865) (all_57_4 = e1 & op(e3, e1) = e1) | (all_57_5 = e1
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18865) gives:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | (18866) all_57_4 = e1 & op(e3, e1) = e1
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (18864), (18866) are inconsistent by
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2452.
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | (18867) all_57_5 = e1 & op(e2, e1) = e1
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (18810), (18867), (function-axioms) are
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2305.
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | (18868) (all_57_8 = e1 & op(e1, e1) = e1) | (all_57_14 =
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18868) gives:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | (18869) all_57_8 = e1 & op(e1, e1) = e1
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18869) implies:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | (18870) op(e1, e1) = e1
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (18716), (18870), (function-axioms) are
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #156.
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | (18871) all_57_14 = e1 & op(e0, e1) = e1
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18871) implies:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | (18872) all_57_14 = e1
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | (18873) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18873) gives:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (18874) all_57_1 = e2 & op(e3, e2) = e2
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18874) implies:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (18875) all_57_1 = e2
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (228), (229),
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (18813), (18843), (18864), (18875),
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | #41.
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (18876) all_57_3 = e2 & op(e2, e2) = e2
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18876) implies:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (18877) op(e2, e2) = e2
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (18813), (18877), (function-axioms) are
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | (18878) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18878) gives:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (18879) all_57_7 = e2 & op(e1, e2) = e2
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18879) implies:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (18880) all_57_7 = e2
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (18881) (all_57_12 = e3 & op(e0, e3) = e3) | (all_57_13 =
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18881) gives:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18882) all_57_12 = e3 & op(e0, e3) = e3
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18882) implies:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18883) op(e0, e3) = e3
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (18841), (18883), (function-axioms) are
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #132.
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18884) all_57_13 = e3 & op(e0, e2) = e3
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18884) implies:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18885) all_57_13 = e3
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18886) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_5 = e0
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18886) gives:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18887) all_57_4 = e0 & op(e3, e1) = e0
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (18864), (18887) are inconsistent by
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2045.
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18888) all_57_5 = e0 & op(e2, e1) = e0
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18888) implies:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18889) all_57_5 = e0
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18890) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18890) gives:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18891) all_57_1 = e0 & op(e3, e2) = e0
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18855), (18891) are inconsistent by
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1811.
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18892) all_57_3 = e0 & op(e2, e2) = e0
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18892) implies:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18893) all_57_3 = e0
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18894) op(e2, e2) = e0
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (223), (224),
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (18811), (18889), (18893), (18894),
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1689.
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18895) (all_57_7 = e0 & op(e1, e2) = e0) | (all_57_13 =
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18895) gives:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18896) all_57_7 = e0 & op(e1, e2) = e0
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18896) implies:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18897) all_57_7 = e0
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (18880), (18897) are inconsistent by
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2207.
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18898) all_57_13 = e0 & op(e0, e2) = e0
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18898) implies:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18899) all_57_13 = e0
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18885), (18899) are inconsistent by
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2184.
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18900) (all_57_8 = e0 & op(e1, e1) = e0) | (all_57_14 =
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18900) gives:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18901) all_57_8 = e0 & op(e1, e1) = e0
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18715), (18901) are inconsistent by
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #170.
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18902) all_57_14 = e0 & op(e0, e1) = e0
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (18872), (18902) are inconsistent by
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2181.
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (18903) (all_57_14 = e3 & op(e0, e1) = e3) | (all_57_15 =
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (207), (211),
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (18708), (18851), (18903),
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | #124.
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (18904) all_57_13 = e2 & op(e0, e2) = e2
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18904) implies:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (18905) op(e0, e2) = e2
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (14925), (18905), (function-axioms) are
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2335.
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | (18906) all_57_9 = e2 & op(e3, e0) = e2
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18906) implies:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | (18907) op(e3, e0) = e2
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (14927), (18907), (function-axioms) are
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2331.
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | (18908) all_57_3 = e3 & op(e2, e2) = e3
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | ALPHA: (18908) implies:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | (18909) op(e2, e2) = e3
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (235), (18816), (18817), (18818),
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | (18820), (18821), (18822), (18842), (18843),
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | (18909), (function-axioms) are inconsistent by
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | sub-proof #95.
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | (18910) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 225.63/38.74 | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | BETA: splitting (18910) gives:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | (18911) all_57_7 = e3 & op(e1, e2) = e3
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (18705), (18911), (function-axioms) are
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #267.
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | (18912) all_57_13 = e3 & op(e0, e2) = e3
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | ALPHA: (18912) implies:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | (18913) op(e0, e2) = e3
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_7, e3,
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (159), (18913) gives:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | (18914) all_53_7 = e3
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_13,
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | e3, e0, e2, simplifying with (165), (18852) gives:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | (18915) all_53_13 = e3
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | REDUCE: (18831), (18915) imply:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | (18916) ~ (all_52_7 = e3)
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | SIMP: (18916) implies:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | (18917) ~ (all_52_7 = e3)
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | (18918) ~ (all_32_2 = e2)
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14923), (18918) imply:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | (18919) $false
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | CLOSE: (18919) is inconsistent.
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | (18920) ( ~ (all_32_0 = e1) & op(all_32_1, e0) = all_32_0
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = all_32_1 & $i(all_32_0) &
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)) | ( ~ (all_32_1 = e3) & op(e0, e2)
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14922) gives:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | (18921) ~ (all_4_0 = e3) & op(all_4_1, e0) = all_4_0 &
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_4_1 & $i(all_4_0) & $i(all_4_1)
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18921) implies:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | (18922) op(e0, e2) = all_4_1
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (202), (14922), (14935), (18816), (18820),
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | (18828), (18832), (18913), (18917), (18920),
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | (18922), (function-axioms) are inconsistent by
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | sub-proof #3.
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | (18923) ~ (all_4_1 = e1) & op(e0, e2) = all_4_1 &
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | $i(all_4_1)
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (18923) implies:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | (18924) op(e0, e2) = all_4_1
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (202), (14922), (14935), (18816), (18820),
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | (18828), (18832), (18913), (18917), (18920),
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | (18924), (function-axioms) are inconsistent by
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | | sub-proof #3.
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | Case 2:
% 225.63/38.74 | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | (18925) all_55_0 = e2 | all_55_0 = e1 | all_55_0 = e0
% 225.63/38.74 | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | REF_CLOSE: (277), (18718), (18835), (18837), (18925) are
% 225.63/38.74 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1953.
% 225.63/38.74 | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | Case 2:
% 225.63/38.74 | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | (18926) all_20_2 = e2
% 225.63/38.74 | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | COMBINE_EQS: (299), (18926) imply:
% 225.63/38.74 | | | | | | | | | | | | | | | (18927) all_10_2 = e2
% 225.63/38.74 | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | SIMP: (18927) implies:
% 225.63/38.74 | | | | | | | | | | | | | | | (18928) all_10_2 = e2
% 225.63/38.74 | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | REDUCE: (18833), (18928) imply:
% 225.63/38.74 | | | | | | | | | | | | | | | (18929) op(e2, e2) = e3
% 225.63/38.74 | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | REF_CLOSE: (8), (18813), (18929), (function-axioms) are
% 225.63/38.74 | | | | | | | | | | | | | | | inconsistent by sub-proof #1912.
% 225.63/38.74 | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | Case 2:
% 225.63/38.74 | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | (18930) all_18_2 = e0
% 225.63/38.74 | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | COMBINE_EQS: (327), (18930) imply:
% 225.63/38.74 | | | | | | | | | | | | | | (18931) all_10_2 = e0
% 225.63/38.74 | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | REDUCE: (45), (18931) imply:
% 225.63/38.74 | | | | | | | | | | | | | | (18932) op(e3, e3) = e0
% 225.63/38.74 | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | REF_CLOSE: (9), (14935), (18819), (18823), (18932),
% 225.63/38.74 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.74 | | | | | | | | | | | | | | #53.
% 225.63/38.74 | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | Case 2:
% 225.63/38.74 | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | (18933) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 225.63/38.74 | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 225.63/38.74 | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 225.63/38.74 | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 225.63/38.74 | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 225.63/38.74 | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 225.63/38.74 | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 225.63/38.74 | | | | | | | | | | | | | $i(all_52_15)
% 225.63/38.74 | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | ALPHA: (18933) implies:
% 225.63/38.74 | | | | | | | | | | | | | (18934) op(e2, e2) = all_52_11
% 225.63/38.74 | | | | | | | | | | | | | (18935) op(all_52_11, all_52_11) = e2
% 225.63/38.74 | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | REF_CLOSE: (9), (18716), (18813), (18934), (18935),
% 225.63/38.74 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.74 | | | | | | | | | | | | | #155.
% 225.63/38.74 | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | Case 2:
% 225.63/38.74 | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | (18936) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 225.63/38.74 | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 225.63/38.74 | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 225.63/38.74 | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 225.63/38.74 | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 225.63/38.74 | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 225.63/38.74 | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 225.63/38.74 | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 225.63/38.74 | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 225.63/38.74 | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 225.63/38.74 | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 225.63/38.74 | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 225.63/38.74 | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 225.63/38.74 | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 225.63/38.74 | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 225.63/38.74 | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 225.63/38.74 | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | BETA: splitting (18936) gives:
% 225.63/38.74 | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | Case 1:
% 225.63/38.74 | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | (18937) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 225.63/38.74 | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 225.63/38.74 | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 225.63/38.74 | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 225.63/38.74 | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 225.63/38.74 | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 225.63/38.74 | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 225.63/38.74 | | | | | | | | | | | | | $i(all_52_23)
% 225.63/38.74 | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | ALPHA: (18937) implies:
% 225.63/38.74 | | | | | | | | | | | | | (18938) op(e1, e1) = all_52_21
% 225.63/38.74 | | | | | | | | | | | | | (18939) op(all_52_21, all_52_21) = e1
% 225.63/38.74 | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | REF_CLOSE: (45), (18716), (18718), (18938), (18939),
% 225.63/38.74 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.74 | | | | | | | | | | | | | #167.
% 225.63/38.74 | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | Case 2:
% 225.63/38.74 | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | (18940) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 225.63/38.74 | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 225.63/38.74 | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 225.63/38.74 | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 225.63/38.74 | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 225.63/38.74 | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 225.63/38.74 | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 225.63/38.74 | | | | | | | | | | | | | $i(all_52_31)
% 225.63/38.74 | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | REF_CLOSE: (4), (14935), (18813), (18940), (function-axioms)
% 225.63/38.74 | | | | | | | | | | | | | are inconsistent by sub-proof #50.
% 225.63/38.74 | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | Case 2:
% 225.63/38.74 | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | (18941) all_14_2 = e0
% 225.63/38.74 | | | | | | | | | | (18942) ( ~ (all_14_0 = e1) & op(all_14_1, e2) = all_14_0
% 225.63/38.74 | | | | | | | | | | & op(e2, e0) = all_14_1 & $i(all_14_0) &
% 225.63/38.74 | | | | | | | | | | $i(all_14_1)) | ( ~ (all_14_1 = e3) & op(e2, e0)
% 225.63/38.74 | | | | | | | | | | = all_14_1 & $i(all_14_1))
% 225.63/38.74 | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | COMBINE_EQS: (328), (18941) imply:
% 225.63/38.74 | | | | | | | | | | (18943) all_8_2 = e0
% 225.63/38.74 | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | SIMP: (18943) implies:
% 225.63/38.74 | | | | | | | | | | (18944) all_8_2 = e0
% 225.63/38.74 | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | COMBINE_EQS: (290), (18944) imply:
% 225.63/38.74 | | | | | | | | | | (18945) all_50_2 = e0
% 225.63/38.74 | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | REDUCE: (352), (18944) imply:
% 225.63/38.74 | | | | | | | | | | (18946) ~ (all_53_4 = e0)
% 225.63/38.74 | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | REDUCE: (354), (18944) imply:
% 225.63/38.74 | | | | | | | | | | (18947) ~ (all_53_6 = e0)
% 225.63/38.74 | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | REDUCE: (356), (18944) imply:
% 225.63/38.74 | | | | | | | | | | (18948) ~ (all_53_7 = e0)
% 225.63/38.74 | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | REDUCE: (358), (18944) imply:
% 225.63/38.74 | | | | | | | | | | (18949) ~ (all_53_9 = e0)
% 225.63/38.74 | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | REDUCE: (360), (18944) imply:
% 225.63/38.74 | | | | | | | | | | (18950) ~ (all_53_13 = e0)
% 225.63/38.74 | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | REDUCE: (18717), (18944) imply:
% 225.63/38.74 | | | | | | | | | | (18951) ~ (e3 = e0)
% 225.63/38.74 | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | BETA: splitting (226) gives:
% 225.63/38.74 | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | Case 1:
% 225.63/38.74 | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | (18952) (all_57_1 = e0 & op(e3, e2) = e0) | (all_57_3 = e0
% 225.63/38.74 | | | | | | | | | | | & op(e2, e2) = e0)
% 225.63/38.74 | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | BETA: splitting (18952) gives:
% 225.63/38.74 | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | Case 1:
% 225.63/38.74 | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | (18953) all_57_1 = e0 & op(e3, e2) = e0
% 225.63/38.74 | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | ALPHA: (18953) implies:
% 225.63/38.74 | | | | | | | | | | | | (18954) op(e3, e2) = e0
% 225.63/38.74 | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | REF_CLOSE: (171), (18946), (18954), (function-axioms) are
% 225.63/38.74 | | | | | | | | | | | | inconsistent by sub-proof #1941.
% 225.63/38.74 | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | Case 2:
% 225.63/38.74 | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | (18955) all_57_3 = e0 & op(e2, e2) = e0
% 225.63/38.74 | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | ALPHA: (18955) implies:
% 225.63/38.74 | | | | | | | | | | | | (18956) all_57_3 = e0
% 225.63/38.74 | | | | | | | | | | | | (18957) op(e2, e2) = e0
% 225.63/38.74 | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | BETA: splitting (58) gives:
% 225.63/38.74 | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | Case 1:
% 225.63/38.74 | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | (18958) ~ (all_18_2 = e0)
% 225.63/38.74 | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | REDUCE: (327), (18958) imply:
% 225.63/38.74 | | | | | | | | | | | | | (18959) ~ (all_10_2 = e0)
% 225.63/38.74 | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | BETA: splitting (61) gives:
% 225.63/38.74 | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | Case 1:
% 225.63/38.74 | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | (18960) ~ (all_20_2 = e2)
% 225.63/38.74 | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | REDUCE: (299), (18960) imply:
% 225.63/38.74 | | | | | | | | | | | | | | (18961) ~ (all_10_2 = e2)
% 225.63/38.74 | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 225.63/38.74 | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | Case 1:
% 225.63/38.74 | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | (18962) all_55_0 = e3
% 225.63/38.74 | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | COMBINE_EQS: (277), (18962) imply:
% 225.63/38.74 | | | | | | | | | | | | | | | (18963) all_10_2 = e3
% 225.63/38.74 | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | REDUCE: (344), (18963) imply:
% 225.63/38.74 | | | | | | | | | | | | | | | (18964) ~ (all_53_4 = e3)
% 225.63/38.74 | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | REDUCE: (348), (18963) imply:
% 225.63/38.74 | | | | | | | | | | | | | | | (18965) ~ (all_53_12 = e3)
% 225.63/38.74 | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | REDUCE: (45), (18963) imply:
% 225.63/38.74 | | | | | | | | | | | | | | | (18966) op(e3, e3) = e3
% 225.63/38.74 | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 225.63/38.74 | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | Case 1:
% 225.63/38.74 | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | (18967) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 225.63/38.74 | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 225.63/38.74 | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | REF_CLOSE: (42), (171), (18717), (18964), (18967),
% 225.63/38.74 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.74 | | | | | | | | | | | | | | | | #32.
% 225.63/38.74 | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | Case 2:
% 225.63/38.74 | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | (18968) (all_57_7 = e3 & op(e1, e2) = e3) | (all_57_13 =
% 225.63/38.74 | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 225.63/38.74 | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | BETA: splitting (18968) gives:
% 225.63/38.74 | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.74 | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | (18969) all_57_7 = e3 & op(e1, e2) = e3
% 225.63/38.74 | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (18705), (18969), (function-axioms) are
% 225.63/38.74 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #267.
% 225.63/38.74 | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.74 | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | (18970) all_57_13 = e3 & op(e0, e2) = e3
% 225.63/38.74 | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | ALPHA: (18970) implies:
% 225.63/38.74 | | | | | | | | | | | | | | | | | (18971) all_57_13 = e3
% 225.63/38.74 | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 225.63/38.74 | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.74 | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | (18972) (all_57_9 = e3 & op(e3, e0) = e3) | (all_57_10 =
% 225.63/38.74 | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 225.63/38.74 | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (45), (106), (107), (136), (159), (163),
% 225.63/38.74 | | | | | | | | | | | | | | | | | | (165), (169), (171), (204), (229), (270), (18705),
% 225.63/38.74 | | | | | | | | | | | | | | | | | | (18716), (18718), (18942), (18945), (18946),
% 225.63/38.74 | | | | | | | | | | | | | | | | | | (18950), (18956), (18957), (18964), (18965),
% 225.63/38.74 | | | | | | | | | | | | | | | | | | (18966), (18972), (function-axioms) are
% 225.63/38.74 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #147.
% 225.63/38.74 | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.74 | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | (18973) (all_57_11 = e3 & op(e1, e0) = e3) | (all_57_15 =
% 225.63/38.74 | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 225.63/38.74 | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (161), (207),
% 225.63/38.74 | | | | | | | | | | | | | | | | | | (208), (209), (18709), (18948), (18971), (18973),
% 225.63/38.74 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.74 | | | | | | | | | | | | | | | | | | #113.
% 225.63/38.74 | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | Case 2:
% 225.63/38.74 | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | (18974) all_55_0 = e2 | all_55_0 = e1 | all_55_0 = e0
% 225.63/38.74 | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | REF_CLOSE: (277), (18718), (18959), (18961), (18974) are
% 225.63/38.74 | | | | | | | | | | | | | | | inconsistent by sub-proof #1953.
% 225.63/38.74 | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | Case 2:
% 225.63/38.74 | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | (18975) all_20_2 = e2
% 225.63/38.74 | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | COMBINE_EQS: (299), (18975) imply:
% 225.63/38.74 | | | | | | | | | | | | | | (18976) all_10_2 = e2
% 225.63/38.74 | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | SIMP: (18976) implies:
% 225.63/38.74 | | | | | | | | | | | | | | (18977) all_10_2 = e2
% 225.63/38.74 | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | REDUCE: (45), (18977) imply:
% 225.63/38.74 | | | | | | | | | | | | | | (18978) op(e3, e3) = e2
% 225.63/38.74 | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 225.63/38.74 | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | Case 1:
% 225.63/38.74 | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | (18979) (all_57_1 = e2 & op(e3, e2) = e2) | (all_57_3 = e2
% 225.63/38.74 | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 225.63/38.74 | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (231), (233), (237),
% 225.63/38.74 | | | | | | | | | | | | | | | (18957), (18978), (18979), (function-axioms) are
% 225.63/38.74 | | | | | | | | | | | | | | | inconsistent by sub-proof #1297.
% 225.63/38.74 | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | Case 2:
% 225.63/38.74 | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | (18980) (all_57_7 = e2 & op(e1, e2) = e2) | (all_57_13 =
% 225.63/38.74 | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 225.63/38.74 | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | BETA: splitting (18980) gives:
% 225.63/38.74 | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | Case 1:
% 225.63/38.74 | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | (18981) all_57_7 = e2 & op(e1, e2) = e2
% 225.63/38.74 | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | ALPHA: (18981) implies:
% 225.63/38.74 | | | | | | | | | | | | | | | | (18982) all_57_7 = e2
% 225.63/38.74 | | | | | | | | | | | | | | | | (18983) op(e1, e2) = e2
% 225.63/38.74 | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 225.63/38.74 | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.74 | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | (18984) (all_57_4 = e2 & op(e3, e1) = e2) | (all_57_5 = e2
% 225.63/38.74 | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 225.63/38.74 | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | BETA: splitting (18984) gives:
% 225.63/38.74 | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.74 | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | (18985) all_57_4 = e2 & op(e3, e1) = e2
% 225.63/38.74 | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | ALPHA: (18985) implies:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | (18986) all_57_4 = e2
% 225.63/38.74 | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (171), (231), (233),
% 225.63/38.74 | | | | | | | | | | | | | | | | | | (237), (18946), (18978), (18986),
% 225.63/38.74 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.74 | | | | | | | | | | | | | | | | | | #1320.
% 225.63/38.74 | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.74 | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | (18987) all_57_5 = e2 & op(e2, e1) = e2
% 225.63/38.74 | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | ALPHA: (18987) implies:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | (18988) all_57_5 = e2
% 225.63/38.74 | | | | | | | | | | | | | | | | | | (18989) op(e2, e1) = e2
% 225.63/38.74 | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_6, e2,
% 225.63/38.74 | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (163), (18983) gives:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | (18990) all_53_6 = e2
% 225.63/38.74 | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_9, e2,
% 225.63/38.74 | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (166), (18989) gives:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | (18991) all_53_9 = e2
% 225.63/38.74 | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | REDUCE: (137), (18990) imply:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | (18992) ~ (all_53_4 = e2)
% 225.63/38.74 | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | REDUCE: (129), (18990) imply:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | (18993) ~ (all_53_7 = e2)
% 225.63/38.74 | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | REDUCE: (119), (18991) imply:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | (18994) ~ (all_53_11 = e2)
% 225.63/38.74 | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | REDUCE: (18707), (18991) imply:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | (18995) ~ (e3 = e2)
% 225.63/38.74 | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 225.63/38.74 | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | (18996) (all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | $i(all_52_7)) | (all_52_8 = e3 & all_52_10 = e2
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | & all_52_12 = e1 & all_52_14 = e0 & op(all_52_9,
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | all_52_9) = e3 & op(all_52_11, all_52_11) = e2
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | & op(all_52_13, all_52_13) = e1 & op(all_52_15,
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | all_52_15) = e0 & op(e2, e3) = all_52_9 &
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_52_11 & op(e2, e1) = all_52_13
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_52_15 & $i(all_52_9) &
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | $i(all_52_11) & $i(all_52_13) & $i(all_52_15))
% 225.63/38.74 | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | BETA: splitting (18996) gives:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | (18997) all_52_0 = e3 & all_52_2 = e2 & all_52_4 = e1 &
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | all_52_6 = e0 & op(all_52_1, all_52_1) = e3 &
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | op(all_52_3, all_52_3) = e2 & op(all_52_5,
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | all_52_5) = e1 & op(all_52_7, all_52_7) = e0 &
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_52_1 & op(e3, e2) = all_52_3 &
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_52_5 & op(e3, e0) = all_52_7 &
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | $i(all_52_1) & $i(all_52_3) & $i(all_52_5) &
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | $i(all_52_7)
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | ALPHA: (18997) implies:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | (18998) op(e3, e3) = all_52_1
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | (18999) op(all_52_1, all_52_1) = e3
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (18957), (18978), (18998), (18999),
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | #1653.
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | (19000) all_52_8 = e3 & all_52_10 = e2 & all_52_12 = e1 &
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | all_52_14 = e0 & op(all_52_9, all_52_9) = e3 &
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | op(all_52_11, all_52_11) = e2 & op(all_52_13,
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | all_52_13) = e1 & op(all_52_15, all_52_15) = e0
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_52_9 & op(e2, e2) = all_52_11 &
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_52_13 & op(e2, e0) = all_52_15 &
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | $i(all_52_9) & $i(all_52_11) & $i(all_52_13) &
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | $i(all_52_15)
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | ALPHA: (19000) implies:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | (19001) op(e2, e1) = all_52_13
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | (19002) op(e2, e2) = all_52_11
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | (19003) op(all_52_13, all_52_13) = e1
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | (19004) op(all_52_11, all_52_11) = e2
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | all_52_13, e1, e2, simplifying with (18989),
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | (19001) gives:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | (19005) all_52_13 = e2
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | REDUCE: (19003), (19005) imply:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | (19006) op(e2, e2) = e1
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (18716), (19002), (19004), (19006),
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | | #155.
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.74 | | | | | | | | | | | | | | | | | | |
% 225.63/38.74 | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.74 | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | (19007) (all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | & all_52_22 = e0 & op(all_52_17, all_52_17) = e3
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | & op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) =
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | e0 & op(e1, e3) = all_52_17 & op(e1, e2) =
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | all_52_19 & op(e1, e1) = all_52_21 & op(e1, e0)
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | = all_52_23 & $i(all_52_17) & $i(all_52_19) &
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | $i(all_52_21) & $i(all_52_23)) | (all_52_24 = e3
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | & all_52_26 = e2 & all_52_28 = e1 & all_52_30 =
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | e0 & op(all_52_25, all_52_25) = e3 &
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) =
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = all_52_25 & op(e0, e2) =
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | all_52_27 & op(e0, e1) = all_52_29 & op(e0, e0)
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | = all_52_31 & $i(all_52_25) & $i(all_52_27) &
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | $i(all_52_29) & $i(all_52_31))
% 225.63/38.75 | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | BETA: splitting (19007) gives:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | (19008) all_52_16 = e3 & all_52_18 = e2 & all_52_20 = e1 &
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | all_52_22 = e0 & op(all_52_17, all_52_17) = e3 &
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | op(all_52_19, all_52_19) = e2 & op(all_52_21,
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | all_52_21) = e1 & op(all_52_23, all_52_23) = e0
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_52_17 & op(e1, e2) = all_52_19
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_52_21 & op(e1, e0) = all_52_23
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | & $i(all_52_17) & $i(all_52_19) & $i(all_52_21) &
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | $i(all_52_23)
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | ALPHA: (19008) implies:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | (19009) op(e1, e1) = all_52_21
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | (19010) op(all_52_21, all_52_21) = e1
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (18716), (18718), (19009), (19010),
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | #167.
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | (19011) all_52_24 = e3 & all_52_26 = e2 & all_52_28 = e1 &
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | all_52_30 = e0 & op(all_52_25, all_52_25) = e3 &
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | op(all_52_27, all_52_27) = e2 & op(all_52_29,
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | all_52_29) = e1 & op(all_52_31, all_52_31) = e0
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_52_25 & op(e0, e2) = all_52_27
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_52_29 & op(e0, e0) = all_52_31
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | & $i(all_52_25) & $i(all_52_27) & $i(all_52_29) &
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | $i(all_52_31)
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | ALPHA: (19011) implies:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | (19012) op(e0, e0) = all_52_31
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | (19013) op(e0, e1) = all_52_29
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | (19014) op(e0, e2) = all_52_27
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | (19015) op(e0, e3) = all_52_25
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | (19016) op(all_52_31, all_52_31) = e0
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | (19017) op(all_52_29, all_52_29) = e1
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | (19018) op(all_52_27, all_52_27) = e2
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | (19019) op(all_52_25, all_52_25) = e3
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | all_52_31, e0, e0, simplifying with (14935),
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | (19012) gives:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | (19020) all_52_31 = e2
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_11,
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | all_52_29, e1, e0, simplifying with (158), (19013)
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | gives:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | (19021) all_53_11 = all_52_29
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_7,
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | all_52_27, e2, e0, simplifying with (159), (19014)
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | gives:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | (19022) all_53_7 = all_52_27
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_53_3,
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | all_52_25, e3, e0, simplifying with (160), (19015)
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | gives:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | (19023) all_53_3 = all_52_25
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (245), (19021) imply:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | (19024) all_55_14 = all_52_29
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (19022) imply:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | (19025) all_55_13 = all_52_27
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (19022) imply:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | (19026) ~ (all_53_4 = all_52_27)
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (19021), (19022) imply:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | (19027) ~ (all_52_27 = all_52_29)
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (14925), (19022) imply:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | (19028) ~ (all_52_27 = e2)
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (18948), (19022) imply:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | (19029) ~ (all_52_27 = e0)
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (19021) imply:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | (19030) ~ (all_53_8 = all_52_29)
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (18708), (19021) imply:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | (19031) ~ (all_52_29 = e3)
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (14926), (19021) imply:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | (19032) ~ (all_52_29 = e2)
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | (19033) all_55_14 = e3
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19024), (19033) imply:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | (19034) all_52_29 = e3
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | REDUCE: (19031), (19034) imply:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | (19035) $false
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | CLOSE: (19035) is inconsistent.
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | (19036) ~ (all_55_14 = e3)
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | (19037) all_55_14 = e2 | all_55_14 = e1 | all_55_14 = e0
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | (19038) all_55_13 = e3
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (19025), (19038) imply:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | (19039) all_52_27 = e3
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | SIMP: (19039) implies:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | (19040) all_52_27 = e3
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19026), (19040) imply:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | (19041) ~ (all_53_4 = e3)
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19027), (19040) imply:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | (19042) ~ (all_52_29 = e3)
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | (19043) (all_57_0 = e3 & op(e3, e3) = e3) | (all_57_1 = e3
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (171), (18978), (19041), (19043),
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | #249.
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | (19044) (all_57_4 = e3 & op(e3, e1) = e3) | (all_57_9 = e3
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19044) gives:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | (19045) all_57_4 = e3 & op(e3, e1) = e3
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (18706), (19045), (function-axioms) are
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #177.
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | (19046) all_57_9 = e3 & op(e3, e0) = e3
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19046) implies:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | (19047) op(e3, e0) = e3
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | (19048) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_2 = e0
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (225),
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | (18956), (18978), (19048), (function-axioms) are
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1654.
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | (19049) (all_57_6 = e0 & op(e1, e3) = e0) | (all_57_12 =
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19049) gives:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (19050) all_57_6 = e0 & op(e1, e3) = e0
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19050) implies:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (19051) op(e1, e3) = e0
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (19052) (all_57_0 = e0 & op(e3, e3) = e0) | (all_57_1 = e0
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (171), (18946), (18978), (19052),
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1321.
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (19053) (all_57_4 = e0 & op(e3, e1) = e0) | (all_57_9 = e0
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19053) gives:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (19054) all_57_4 = e0 & op(e3, e1) = e0
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (100), (164), (170), (191), (18702), (18703),
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (18716), (19013), (19017), (19024), (19030),
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (19031), (19051), (19054), (function-axioms) are
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #143.
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (19055) all_57_9 = e0 & op(e3, e0) = e0
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19055) implies:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (19056) op(e3, e0) = e0
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (19047), (19056), (function-axioms) are
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #313.
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (19057) all_57_12 = e0 & op(e0, e3) = e0
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19057) implies:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (19058) op(e0, e3) = e0
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14935), (19012), (19015), (19019), (19058),
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | #31.
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | End of split
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | (19059) ~ (all_55_13 = e3)
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | (19060) all_55_13 = e2 | all_55_13 = e1 | all_55_13 = e0
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19025), (19059) imply:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | (19061) ~ (all_52_27 = e3)
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | (19062) (all_57_1 = e3 & op(e3, e2) = e3) | (all_57_3 = e3
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19062) gives:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | (19063) all_57_1 = e3 & op(e3, e2) = e3
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (19063) implies:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | (19064) all_57_1 = e3
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (19060) gives:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | (19065) all_55_13 = e2
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19025), (19028), (19065) are inconsistent by
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1647.
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | (19066) ~ (all_55_13 = e2)
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | (19067) all_55_13 = e1 | all_55_13 = e0
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (19068) (all_57_1 = e1 & op(e3, e2) = e1) | (all_57_3 = e1
% 225.63/38.75 | | | | | | | | | | | | | | | | | | | | | | | | | | &